Therefore , the solution of the given problem of unitary method comes out to be $3.5 is the average price.
What exactly is a unitary method?After calculating the size of a small slice, multiply the quantity by two to complete a task using the unitary technique. Simply expression, the unit variable technique works to separate a coded item from a certain group or collection of groups. For instance, 40 pens would cost Rs. 400 (or 400 pounds, $1.01). It's possible that one country will have total control over the method employed to do this. Almost every living creature has a distinctive quality.
Here,
Given :
subscription for 8 months
She paid $28 and Holly wanted to find the price, p
Price for one month is :
=> 28/8
=> $3.5
Therefore , the solution of the given problem of unitary method comes out to be $3.5 is the average price.
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The complete question is "Holly bought a magazine subscription for a year. She paid $27. Holly wanted to find the price, p, of the subscription each month. She created the model shown to help find this price. 27 р |р |р |р |р |р |р |р | Р | Р |р | p What was the price of the subscription each month? F $39.00 G $2.25 H $324.00 3 $22.50"
Sundeep mixed 300 mL of water with 100 mL of sugar. She says "the total volume is
300 mL + 100 mL = 400 mL." Do you agree with Sundeep? Explain why or why not.
No, I don't agree with Sundeep. The mixture wont simply add up
How to show the volume will not be 400 mlWhen two liquids are mixed together, their volumes don't simply add up to equal the total volume of the mixture.
When sugar is mixed with water, the total volume of the mixture is usually slightly greater than the volume of the water alone, because the sugar particles take up space between the water molecules.
The volume of the mixture will be equal to the sum of the individual volumes only if the two liquids are completely immiscible, meaning they don't mix together at all. In this case, the total volume of the mixture will be equal to the sum of the volumes of water and sugar, which is 400 mL.
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Simplify the expression
3/4 (z+2/5) + 2z
The simplified form of the expression 3/4 (z+2/5) + 2z is (37z + 6)/20.
What is an expression?One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.
Given:
An expression,
3/4 (z+2/5) + 2z.
Simplifying,
= 3/4 (5z + 2)/5 + 2z.
= (15z + 6)/20 + 2z
= (37z + 6)/20
Therefore, the expression is (37z + 6)/20.
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Use partial fraction decomposition to write the integrand as the sum of simpler terms: (x^3 + 2x^2 + 3x + 4)/(x^2 + x - 2) = A/(x - 1) + B/(x + 2) + Cx + D, where A, B, C, and D are constants.
Step-by-step explanation:
Here's how you can use partial fraction decomposition to write (x^3 + 2x^2 + 3x + 4)/(x^2 + x - 2) as the sum of simpler terms:
Factor the denominator to simplify the expression: x^2 + x - 2 = (x - 1)(x + 2)
Write the partial fraction decomposition of the integrand as the sum of simpler terms: (x^3 + 2x^2 + 3x + 4)/(x^2 + x - 2) = A/(x - 1) + B/(x + 2) + Cx + D, where A, B, C, and D are constants.
Multiply both sides of the equation by (x^2 + x - 2) to find the values of A, B, C, and D: x^3 + 2x^2 + 3x + 4 = A(x + 2) + B(x - 1) + (Cx + D)(x^2 + x - 2)
Substitute x = 1 and x = -2 into the equation to find two equations for A, B, C, and D:
x = 1: 4 + 2 + 3 + 4 = 9 = A(-2) + B + (C + D)(-1)
x = -2: -8 - 4 + 6 - 8 = -16 = A(1) + B(-2) + (C - 2D)(4)
Solve the system of equations to find the values of A, B, C, and D:
A = 9/3, B = 5, C = -11/3, D = 7/3
So the partial fraction decomposition of (x^3 + 2x^2 + 3x + 4)/(x^2 + x - 2) is (9/3)/(x - 1) + (5)/(x + 2) - (11/3)x + (7/3).
2. Ricky is 35 years old. He plans to retire when he is 63. He has opened a
traditional retirement account that pays 1% interest compounded monthly. If
he makes monthly deposits of $400, how much will he have in the account by
the time he retires?
now, we're making the assumption that the monthly payments Ricky is doing are at the beginning of every month.
[tex]~~~~~~~~~~~~\stackrel{\textit{payments at the beginning of the period}}{\textit{Future Value of an annuity due}} \\\\ A=pmt\left[ \cfrac{\left( 1+\frac{r}{n} \right)^{nt}-1}{\frac{r}{n}} \right]\left(1+\frac{r}{n}\right)[/tex]
[tex]\qquad \begin{cases} A=\textit{accumulated amount} \\ pmt=\textit{periodic payments}\dotfill & 400\\ r=rate\to 1\%\to \frac{1}{100}\dotfill &0.01\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &28 \end{cases}[/tex]
[tex]A=400\left[ \cfrac{\left( 1+\frac{0.01}{12} \right)^{12 \cdot 28}-1}{\frac{0.01}{12}} \right]\left(1+\frac{0.01}{12}\right) \\\\\\ A=400\left[ \cfrac{\left( \frac{1201}{1200} \right)^{336}-1}{\frac{1}{1200}} \right]\left(\frac{1201}{1200}\right) \implies \boxed{A \approx 155157.45}[/tex]
given a number n, return the number of ways you can draw n chords in a circle combination with 2 x n points such that no 2 chords intersect.
The number of ways you can draw n chords in a circle combination with 2 x n points such that no 2 chords intersect is n! / (2! * (n - 2)!).
Given a number n, the number of ways you can draw n chords in a circle with 2 * n points such that no two chords intersect is given by n choose 2. This is because you have 2 * n points, and for each chord, you must choose two of these points to be its endpoints.
The number of ways to choose two points out of 2 * n points is given by the binomial coefficient (n choose 2), which is equal to n! / (2! * (n - 2)!). This formula counts the number of combinations of n chords that can be drawn in a circle without any intersections.
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Please help me answer this :)
extra points
The ordered pairs in table T. (3, 4) and (3, - 4) are the same, indicating that it is not a function.
What is a function?A function can be defined as the outputs for a given set of inputs.
The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.
We know a relation is a function if it is one-to-one and many-to-one.
And, A relation is not a function if it is one to many meaning no two distinct ordered pairs have the same first coordinate.
Observing the given tables we conclude that in table T the ordered pairs
(3, 4) and (3, - 4) have the same first coordinate so it is not a function.
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Graph the function y = (1/2)x-3-10 using the given table of values and following
the instructions below.
X
-10
-9
-8
-7
-6
-5
-4
y
8182
4086
2038
1014
502
246
118
X
-3
-2
-1
0
1
2
3
Y
54
22
6
-2
-6
-8
-9
X
4
5
6
7
8
9
10
y
-9.5
-9.75
-9.875
-9.9375
-9.96875
-9.984375
-9.9921875
Equation of asymptote:
y =
The graph of function y = 1/2 (x - 3) - 10 is shown in figure.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The equation of function is,
⇒ y = 1/2 (x - 3) - 10
Now, The equation of function is,
⇒ y = 1/2 (x - 3) - 10
Clearly, This represent the equation of line.
Hence, By using tool;
The graph of function y = 1/2 (x - 3) - 10 is shown in figure.
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Three friends got the prize money worth 120000 The first friend would get three times the amount of the third friends portion. The third friend would get twice the amount of the second friends portion. Determine the amount that each friend would receive.
In a case whereby three friends got the prize money worth 120000 The first friend would get three times the amount of the third friends portion. the third friend would get twice the amount of the second friends the amount that each friend would receive are:$10909, $21818 and $87272 respectively.
How can the amount that each friend would receive be calculated?The concept that willbe used here is simplification.
Let assume that the amount that is gotten by the second friend be $X,
then the amount that is gotten by the third friend be $2X
then the amount that is gotten by the third friend be $8X
Then perform the summation as $X+$2X+ $8X=120000
11X= 120000
X=120000/11 = 10909
X=$10909
$2X= 2*10909=$21818
$8X=8*10909=$87272
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Suppose a spherical asteroid has a radius of approximately 8.5 × 10^2 m. Use the formula 4/3 π r^3 to find the approximate volume of the astroid.
Brainlest to anyone who answers correctly
The approximate volume of the astroid is 2.57 * 10^9 m^3
How to find the approximate volume of the astroid.From the question, we have the following parameters that can be used in our computation:
Radius = 8.5 × 10^2 m.
Using the formula 4/3 π r^3 for the volume, we get
Volume = 4/3 * (22/7) * (8.5 × 10^2)^3
Evaluate
Volume = 2.57 * 10^9 m^3
Hence, the volume is 2.57 * 10^9 m^3
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The amount of money in Ryan's savings account can be represented by the equation y = 15x + 20,
where x is the number of weeks and y is the total amount of money. The amount of money in Lucy's savings account can be represented by the graph below.
The graph of the linear function y = 15x + 20 is given by the image presented at the end of the answer.
How to graph the linear function?The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which:
The slope m represents the rate of change.The intercept b represents the value of y when x = 0.The function in this problem is defined as follows:
y = 15x + 20.
Hence the graph is constructed as follows:
Domain of x >= 0, as the number of weeks is a countable amount.When x = 0, y = 20.When x increases by one, y increases by 15.More can be learned about linear functions at https://brainly.com/question/24808124
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1. Let X denote the life of a semiconductor laser (in hours) with the following probabilities: P(X ≤ 5000) = 0.05 and P(X > 7000) = 0.45. a. What is the probability that the life is less than or equal to 7000 hours? b. What is the probability that the life is greater than 5000 hours? c. What is P(5000 < X ≤ 7000)? 2. Suppose that f(x) = 1.5x2 for -1 < x < 1 and f(x) = 0 otherwise. Determine the following probabilities. a. P(0 < X). b. P(-0.5 ≤ X ≤ 0.5). c. P(X < -2). d. Determine x such that P(x < X) = 0.05. 3. Assume that X is normally distributed with a mean of 6 and a standard deviation of 3. Determine the value for x that solves each of the following. a. P(X > x) = 0.5 b. P(X > x) = 0.95 c. P(x < X < 9) = 0.2 d. P(3 < X < x) = 0.8
1. a. Probability (X ≤ 7000) = 0.40; b. P(X > 5000) = 0.95; c. P(5000 < X ≤ 7000) = 0.40.
2. a. P(0 < X) = 1; b. P(-0.5 ≤ X ≤ 0.5) = 1; c. P(X < -2) = 0; d. x = -1.645.
3. a. x = 9; b. x = 12; c. x = 7; d. x = 6.
1. a. The probability that the life of a semiconductor laser is less than or equal to 7000 hours can be calculated by subtracting the probability that it is less than or equal to 5000 hours from 1: P(X ≤ 7000) = 1 - 0.05 = 0.40. b. The probability that the life is greater than 5000 hours can be calculated by subtracting the probability that it is less than or equal to 5000 hours from 1: P(X > 5000) = 1 - 0.05 = 0.95. c. The probability that the life is between 5000 and 7000 hours can be calculated by subtracting the probability that it is less than or equal to 5000 hours from the probability that it is less than or equal to 7000 hours: P(5000 < X ≤ 7000) = 0.40 - 0.05 = 0.35.
2. a. The probability that X is greater than 0 can be calculated by subtracting the probability that X is less than or equal to 0 from 1: P(0 < X) = 1 - 0 = 1. b. The probability that X is between -0.5 and 0.5 can be calculated by subtracting the probability that it is less than or equal to -0.5 from the probability that it is less than or equal to 0.5: P(-0.5 ≤ X ≤ 0.5) = 1 - 0 = 1. c. The probability that X is less than -2 can be calculated by simply looking at the upper limit of the function: P(X < -2) = 0. d. The value x such that P(x < X) = 0.05 can be found by solving the equation: x = -1.645.
3. a. The value x such that P(X > x) = 0.5 can be found by solving the equation: x = 9. b. The value x such that P(X > x) = 0.95 can be found by solving the equation: x = 12. c. The value x such that P(3 < X < x) = 0.2 can be found by solving the equation: x = 7. d. The value x such that P(3 < X < x) = 0.8 can be found by solving the equation: x = 6.
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The area swept by the blade in model 3 is 66932 square feet.
What is area?An object's area is how much space it takes up in two dimensions. It is the measurement of the quantity of unit squares that completely cover the surface of a closed figure. The word "area" refers to a free space. A shape's length and width are used to calculate its area. Unidimensional length is expressed in terms of feet (ft), yards (yd), inches (in), etc. But a shape's area is a two-dimensional measurement.
The blade length for model 3 is r = 146.
The area of the circle is given by:
A = pi(r)²
A= (3.14) (146)²
A = 66932
Hence, the area swept by the blade in model 3 is 66932 square feet.
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Consider the first order differential equation y' + t/t2 + 9y = et/t - 5. For each of the initial conditions below, determine the largest interval a < t < b on which the existence and uniqueness theorem for first order linear differential equations guarantees the existence of a unique solution. y(-7) = 6. 4. help (Inequalities) y(-2. 5) = -0. 5. help (inequalities') y(0) = 0. help (inequalities') y(4. 5) = -2. 1. help ('inequalities') y(14)= 1. 7. help ('inequalities')
These intervals were calculated assuming that the differential equation coefficients and initial value are continuous on the intervals. Additional analysis may be required in practice to confirm the precise duration of existence and uniqueness.
The existence and uniqueness theorem for first order linear differential equations states that if the differential equation's coefficients and the initial value are continuous on an interval containing the initial value, then the differential equation has a unique solution on that interval.
y(-7) = 6: The existence and uniqueness theorem ensures that a unique solution exists in the interval -8 t -6.The existence and uniqueness theorem ensures the existence of a unique solution in the interval -3 t -2.y(0) = 0: The existence and uniqueness theorem ensures that a unique solution exists in the interval -1 t 1.y(4.5) = -2.1: The existence and uniqueness theorem ensures that a unique solution exists in the interval 4 t 5.y(14) = 1.7: The existence and uniqueness theorem ensures that a unique solution exists in the interval 13 t 15.It should be noted that these intervals were determined under the assumption that the differential equation coefficients and initial value are continuous on the intervals. In practice, additional analysis may be required to confirm the precise duration of existence and uniqueness.
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The circumference of the smaller circle is 20% of the circumference of the larger circle. Find the circumference of the larger circle. Round your answer to the nearest tenth.
The circumference of the larger circle is 94.3 inches.
What is the Circumference of a circle?The Circumference of a circle is defined as the product of the diameter of the circle and pi.
C = πd
where 'd' is the diameter of the circle
Let's call the radius of the larger circle "R" and the radius of the smaller circle "r".
Since the circumference of the smaller circle is 20% of the circumference of the larger circle, we have:
2πr = 0.2 × 2πR
Dividing both sides by 2π:
r = 0.2 × R
Since the diameter of the smaller circle is 6 inches, we have:
2r = 6
So:
r = 3
And, since r = 0.2 R:
3 = 0.2 × R
Solving for R:
R = 15
So the circumference of the larger circle is:
C = 2πR = 2π × 15 = 94.25
Rounding to the nearest tenth, the circumference of the larger circle is 94.3 inches.
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are a type of qualitative method seeking unrestricted comments or opinions and asking questions to help better understand the various dimensions of opinions.
Open-ended questions are often used in market research, customer satisfaction surveys, and other social sciences research to gather in-depth information from respondents.
Open-ended questions are a type of qualitative research method that seeks to gather unrestricted comments or opinions from respondents. These questions are usually framed in a way that allows the respondent to express their thoughts and feelings without being limited by pre-determined response options. This method can provide valuable insights into the perspectives, experiences, and motivations of the individuals being studied. Open-ended questions are often used in market research, customer satisfaction surveys, and other social sciences research to gather in-depth information from respondents.
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Graphing asymptotes for a rational function
Two graphs of the same rational function are shown below
On the graph below draw the horizontal asymptote and write the equation for the horizontal asymptote underneath.
F(x)=-2x/x-3
On the graph below draw the vertical asymptote and write the equation for the vertical asymptote underneath.
F(x)=-2x/x-3
The vertical asymptote and horizontal asymptote of the rational function will be x = 3 and y = -2, respectively.
What is an asymptote?An asymptote is a line that constantly reaches a given curve but does not touch at an infinite distance.
The rational function is given below.
f(x) = - 2x / (x - 3)
The vertical asymptote is given as,
x - 3 = 0
x = 3
Then the horizontal asymptote is given as,
y = lim x → ∞ f(x)
y = lim x → ∞ - 2x / (x - 3)
y = lim x → ∞ - 2
y = - 2
The vertical asymptote and horizontal asymptote of the rational function will be x = 3 and y = -2, respectively.
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population of 1200 mean is 225 and standard deviation is 18 what is the population of people who scored 171
171 is 1.8 standard deviations below the mean.
Using the 68-95-99.7 rule, approximately 5.5% of the population scored 171 or lower. This translates to 66 people.
1. Calculate the z-score: z = (171 - 225) / 18 = -1.8
2. Use the 68-95-99.7 rule to calculate the percentage of the population that scored 171 or lower: 5.5%
3. Calculate the number of people that scored 171 or lower: 66 (5.5% of 1200) mean
The complete question is :
What is the population of people who scored 171 out of a population of 1200 with a mean of 225 and a standard deviation of 18?
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2. Birat tea packaging company was established last year in eastern part of Nepal. From the last years data, it was found that the cost of buying a packaging machine, factory set up and the cost of land and house was Rs. 8,000,000. The cost price of raw tea was Rs. 80 per Kg, cost of packaging material along with a hologram of the company was Rs. 15 per Kg., cost of labor was Rs. 10 per kg and the transportation cost was Rs 20 per Kg. After investing the above mentioned cost, the owner of the company was able to sell his product at Rs. 160 per Kg at the different part of Nepal as well as some part of India such as West Bengal, Sikkim, Bihar and some part of Uttar Pradesh. Find the a. Total cost function. b. Total revenue function. C. Total profit function. you d. If you were the owner of the company, how many units should have to sell in order to reach neither loss nor profit? e. What strategy will you apply if the market is very competitive and there are lots of substitute products?
Answer:
a. Total Cost Function: The total cost function for Birat tea packaging company is given by: Total Cost = 8,000,000 + 80x + 15x + 10x + 20x = 8,360,000 + 125x
b. Total Revenue Function: The total revenue function for Birat tea packaging company is given by: Total Revenue = 160x
c. Total Profit Function: The total profit function for Birat tea packaging company is given by: Total Profit = Total Revenue - Total Cost = 160x – 8,360,000 - 125x = 7,225,000 - 125x
d. If you were the owner of the company, you would need to sell at least 58,000 Kgs of tea in order to reach neither loss nor profit.
e. If the market is very competitive and there are lots of substitute products, the Birat Tea Packaging Company can use a variety of strategies to stay competitive. These strategies can include offering discounts, loyalty programs, promotional campaigns, product diversification, and improved marketing efforts. The company should also focus on providing superior customer service to build and maintain customer loyalty. Additionally, the company should stay up-to-date on the latest trends in the industry and explore opportunities to collaborate with other companies to gain a competitive advantage.
Step-by-step explanation:
An analyst constructed the following frequency distribution on the monthly returns for 50 selected stocks. Class (in percent) Frequency –10 up to 0 8 0 up to 10 25 10 up to 20 15 20 up to 30 2 The proportion of stocks with returns of less than 10% is _____
The proportion of stocks with returns of less than 10% is 43%.
To find the proportion of stocks with returns of less than 10%, we add up the frequencies of the first two classes in the frequency distribution: 8 + 25 = 33. This number represents the total number of stocks with returns of less than 10%. To find the proportion, we divide this number by the total number of stocks (50) and multiply by 100%: (33/50) * 100% = 66%. This means that 66% of the stocks had returns less than 10%.
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FILL IN THE BLANK the reason why response scales are generally limited to less than_________ options is that anything over this number creates meaningless distinctions.
The reason why response scales are generally limited to less than ten options is that anything over this number creates meaningless distinctions.
Response scales are generally limited to no more than ten options because any more than this creates meaningless distinctions. If there are too many options, it becomes difficult to make meaningful comparisons between the responses. Additionally, it becomes more difficult to interpret the data when there are too many options. By having fewer options, it is easier to make more accurate comparisons and more meaningful interpretations. This number helps to make sure that the data collected is accurate and useful. Having fewer options also helps to reduce the amount of time it takes to collect and analyze the data.
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four identical circles of radius r are inscribed (as shown) in a square of side x feet. 4circles (a) express the total area of the four circles, t, as a function of x. t(x)
This expression [tex]t(x) = 4 * \pi * (x/2)^2[/tex] gives the total area of the four circles as a function of x, the side of the square.
The area of a single circle with radius r can be calculated using the formula:
[tex]A = \pi r^2[/tex]
In this problem, the radius of each circle is the same and equal to r. Therefore, the area of a single circle can be calculated as:
[tex]A = \pi r^2[/tex]
The total area of the four circles, t, can be found by adding the area of each circle:
[tex]t = 4 * \pi r^2[/tex]
The radius of each circle can be expressed as a function of the side of the square, x, as follows:
[tex]r = x/2[/tex]
Substituting this expression for r into the equation for the total area of the four circles, we get:
[tex]t(x) = 4 * \pi * (x/2)^2[/tex]
This expression gives the total area of the four circles as a function of x, the side of the square.
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A polygon is shown.
4 in.
12 in.
What is the area of the polygon?
OA. 62 in²
OB. 78 in²
OC. 99 in²
OD. 120 in²
5 in.
10 in.
* diagram not drawn to scale
We have the appropriate response to the inquiry b) The polygon's area is 99 inch2.
A polygonal shape is what?A polygon is a two-dimensional, closed shape that is flat or plane and is bounded by straight sides. Its sides are not curled. The edges of a polygon are another term for its sides. The vertices (or angles) of a polygon are the places where two sides converge.
According to the diagram we have the following:
DP = 10 ₋ 4 ₋ 6inch EP = 12 ₋ 5 = 7inch
Area of rectangle = l x b
Area of Triangle = [tex]\frac{1}{2}[/tex] x base x height
Area of polygon Area MBCD + Area AMPE + Area EPD = (5x10) + (4x27) + ([tex]\frac{1}{2}[/tex]x7x6) .
= 50 + 28 + 21 = 99 inch²
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figure: production possibilities reference: ref 2-1 (figure: production possibilities) which of the following is not correct regarding combination x? question 5 options: a) because it is on the line, combination x has no opportunity cost. b) society might judge other combinations on the line to be preferable to x. c) the combination might be allocatively efficient. d) the combination is productively efficient.
Combination X will still have an opportunity cost, society might judge other combinations on the line as preferable to combination X, and it may be allocatively efficient, but it may not be productively efficient.
The Production Possibilities Curve (PPC) is a model used to illustrate the tradeoff between producing two goods. Combination X is a point on the PPC, and is not the same as other combinations on the same line.
A) This statement is not correct. Combination X will still have an opportunity cost associated with it. Opportunity cost is the cost of choosing one option over another, and it is the difference in the total outputs between the chosen combination and the next best combination. For example, if combination X produces 8 units of good A and 10 units of good B, and the next best combination produces 10 units of good A and 8 units of good B, the opportunity cost of combination X is 2 units of good B.
B) This statement is correct. Society might judge other combinations on the line as preferable to combination X because of their comparative advantage in producing one good over another.
C) This statement is correct. Allocative efficiency is the optimal combination of goods and services that maximizes the total benefit of society. Combination X may be allocatively efficient if it maximizes the total benefit of society.
D) This statement is not correct. Productive efficiency is the optimal combination of inputs that maximizes the
output of a good or service. Combination X may not be productively efficient if it does not maximize the output of a good or service.
Combination X will still have an opportunity cost, society might judge other combinations on the line as preferable to combination X, and it may be allocatively efficient, but it may not be productively efficient.
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If a round table can seat 8 people, and a square table seats 10 people, and I have to set up tables for 124 people, using two more round tables than square tables, how many round tables will I use?
We will use six square tables and eight round tables.
What is an equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
Let's call the number of square tables used "x". Then, the number of round tables used would be x + 2.
We know that the total number of people that can be seated is represented by 8 × number of round tables + 10 × number of square tables, or 8(x + 2) + 10x = 124.
Expanding and solving for x, we get 18x + 16 = 124.
Subtracting 16 from both sides, we get 18x = 108.
Dividing both sides by 18, we find that x = 6.
So, we will use 6 square tables and 8 round tables.
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According to her doctor, Carrie is under-weight. For health reasons her doctor advises that she gain weight before her next appointment in 3 months.
He said she should gain at least 10 pounds, but less than 30 pounds to move into a healthy weight range.
The weight range is 10 ≤ x < 30.
What is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
Given:
For health reasons her doctor advises that she gain weight before her next appointment in 3 months.
She should gain at least 10 pounds but less than 30 pounds.
let her weight is x pounds then the range for her weight to be healthy.
10 ≤ x < 30.
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A dressmaker needs to cut 12-inch pieces of ribbon from rolls of ribbon that are 3 feet in length. How many 12-inch pieces can the dressmaker cut from 10 of these rolls of ribbon?
Before you try that problem, answer the question below.
How many inches of ribbon does the dressmaker have, in total?
The 12-inch pieces the dressmaker can cut from 10 of these rolls of ribbon will be 30 strips.
What is the unitary method?The unitary approach is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value.
Given a dressmaker has a ribbon of 3 feet in length,
and he has a total of 10 rolls,
total length of ribbon = 10*3 = 30 feet
and 1 feet = 12 inches
30 feet = 12*30 inches
30 feet = 360 inches
the dressmaker has 360 inches of ribbon.
The dressmaker needs to cut 12-inch pieces of ribbon from rolls of ribbon that are 3 feet in length.
The number of rolls she has = 10 rolls
so,
12 inches strips from 360 inches of ribbon
= 360/12 = 30 strips.
Hence the dressmaker can make 30 strips of 12 inches from 360 inches of total ribbon.
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find the minimum value of the function f(x)=2x^2+8.1x+15.4 to the nearest hundredth.
The minimum value of the function f(x) = 2x^2 + 8.1x + 15.4 is 15.96 to the nearest hundredth.
What is minimum value ?Minimum value is the lowest y-value the function reaches.
The minimum value of a parabolic function like f(x) = 2x^2 + 8.1x + 15.4 is achieved at the vertex of the parabola.
The x-coordinate of the vertex is given by the formula:
x = -b / (2a
where a = 2, b = 8.1, and c = 15.4.
Plugging in these values, we get:
x = -8.1 / (2 * 2) = -2.05
So, the x-coordinate of the vertex is -2.05. To find the y-coordinate (i.e., the minimum value of the function), we plug in this x-coordinate and solve for y:
y = f(-2.05) = 2(-2.05)^2 + 8.1(-2.05) + 15.4 = 15.96
So, the minimum value of the function f(x) = 2x^2 + 8.1x + 15.4 is 15.96 to the nearest hundredth.
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What is the value of n? 30 POINTSS!
10 < n < 12 gives the equivalent solution to the given system of equation.
Inequality expressionsInequality expressions are expressions not separated by an equal sign.
From the given expression, the equivalent inequalities are given as:
n > 0
2n > 20
5n > 60
For the expression 2n > 20
n > 20/2
n > 10
Similarly;
5n < 60
n < 60/5
n < 12
Hence the solution to the given expressions are 10 < n < 12
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the school lisa goes to is selling tickets to the annual talent show. on the first day of ticket sales the school sold 4 senior citizen tickets and 5 student tickets for a total of $102. the school took in $126 on the second day by selling 7 senior citizen tickets and 5 student tickets. what is the price of on senior citizen ticket and one student ticket?
Answer: one senior ticket is $8 and one student ticket is $14
Hope this helps a little