An equation in standard form to express the scenario is 5x + 2y = 120.
An equation in slope-intercept form to express the scenario is y = -5x/2 + 60.
One possible solution (x, y) is (10, 35), which means Luna and Miles can sell 10 chocolate brownies and 30 chocolate chips.
How to write an equation to model this situation?In order to write a linear equation to describe this situation, we would a assign variable to the number of chocolate brownies sold and the number of chocolate brownies sold respectively, and then translate the word problem into a linear equation as follows:
Let the variable x represent the number of chocolate brownies sold.Let the variable y represent the number of chocolate chips sold.Since they are selling chocolate brownies for $5 each and $2 per chocolate chips, with a total revenue of $120, a linear equation in standard form that models the situation is given by:
5x + 2y = 120
In order to write the linear equation in slope-intercept form, we would make y the subject of formula;
2y = -5x + 120
y = -5x/2 + 60
When x = 10, the y-value is given by:
y = -5(10)/2 + 60
y = -25 + 60
y = 35
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question 8 Mathmatics
The appropriate sales price for a home in 2020 would be = 480 thousands. That is option A.
How to calculate tye appropriate sales price?The price of home in year 1990 = 149 thousand
The price of home in the year 1995 = 158 thousand
The difference in years = 2000-1995 = 5 years
The difference in the average sales price for the both years = 158-149 = 49 thousand.
The years difference between 2000 and 2020 = 20 years
If 5 years = 49 thousand
20 years = X
Make X the subject of formula;
X = 20×49/5
X = 980/5
X = 196 thousand
Therefore, the sales price for a home in 2020 would be = 207+196 = 403 thousands. The appropriate sales price would be = 480 in 2020.
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Distributive property 42÷3
Answer: 14
Step-by-step explanation: 42 divided by 3 is 14.
As a fraction: 42/3
Answer:
42÷3= 14?
Step-by-step explanation:
based on the residual plot shown, is a linear model appropriate for comparing tree age to basal area? because the residuals are centered about zero, a linear model is appropriate. because the residual plot does not show a clear pattern, a linear model is appropriate. because the residual plot shows a random a scatter of points, a linear model is not appropriate. because the residual plot does not appear linear, it is likely that tree age and basal area do not have a linear relationship.
Answer:
Because the residual plot does not show a clear pattern, a linear model is appropriate.
Step-by-step explanation:
At the nut farm, the cost price of a bag of almonds is R290. It is sold with a profit of 45%. What is the selling price?
The selling price of the bags of almonds that yields a profit of 45% is $420.5
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables using mathematical operations. An equation can be linear, quadratic, cubic and so on, depending on the degree of the variable.
The formula for profit is given by:
Profit = [(selling price - cost price) / cost price] * 100%
At the nut farm, the cost price of a bag of almonds is R290. It is sold with a profit of 45%. Hence, substituting:
45% = [(selling price - 290)/290] * 100%
0.45 = (selling price - 290)/290
selling price - 290 = 130.5
selling price = 420.5
The selling price is $420.5
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the college board reports that in the recent year, the mean mathematics sat score was 514 and standard deviation of 118. a sample of 50 scores is chosen. a) the probability that the sample mean score is less than 500 is [ select ] b) [ select ] c) the 80th percentile of the sample scores is [ select ]
The College Board reported that in a recent year, the mean mathematics SAT score was 514 and the standard deviation was 118. A sample of 65 scores was chosen.
a) The probability that the sample mean score is less than 500 can be found by using the mean and standard deviation of the SAT scores population. The formula to calculate this probability can be found in 3.
c) The 80th percentile of the sample scores is also not mentioned in the search results. To find the 80th percentile, a probability distribution of the sample mean scores must be created and then solved for the desired percentile.
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mr. Smith started 8 yards away from the motion detector, and two seconds later, he was 4 yards away from the detector. The graph below shows Mr. Smith’s motion. What is the difference between the rate of change of the intervals: 1,2 and 2,4?
The difference between the rate of change of the intervals: 1,2 and 2,4 is; 2
How to find the rate of change over an interval?The average rate of change over the intervals (x₁, y₁) and (x₂, y₂) is given by the formula;
Average rate of change = (y₂ - y₁)/(x₂ - x₁)
Thus, the average rate of change between the intervals (1, 2) and (2, 4) is;
Average rate of change = (4 - 2)/(2 - 1)
Average rate of change = 2/1
Average rate of change = 2
That is the difference between the rate of change over the two given intervals.
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50 apples cost $25. How much would 75 apples cost?
To find out how much 75 apples would cost, we need to find out the cost per apple and then multiply that amount by 75. If 50 apples cost $25, then the cost per apple is $25/50 = $0.50. So, 75 apples would cost $0.50 x 75 = $37.50.
Answer:
$37.50
Step-by-step explanation:
$25/50=$0.50 per apple
0.50 x 75 = $37.50
Question located in picture below:
Answer:
5a^2 + 1
Step-by-step explanation:
7a^2 - 4 - 2a^2 + 5
5a^2 + 1
Answer:
5a^2+1
Step-by-step explanation:
Combining like terms in polynomials can go based on the degree it has.
Since 7a^2 and -2a^2 have the same degree as one another, we can just add them, which gives us 5a^2
Now since -4 and 5 dont have any degree, they are liked terms.
Add: -4+5=1
Now when simplified, we get:
5a^2+1
question 11 pts suppose is an -matrix such that has only the trivial solution. how many pivot columns does have?
A matrix A is said to have only the trivial solution if the only solution to the system of equations, A x = 0, is the zero vector, x = 0.
The number of pivot columns in a matrix is equal to the rank of the matrix. Therefore, if A has only the trivial solution, it has rank 0, and so it has 0 pivot columns. To calculate the rank of a matrix, we can use the following formula: rank(A) = min(m, n) - dim(null A), where m and n are the number of rows and columns of A, respectively, and dim(null A) is the dimension of the null space of A.
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complete question:
Given an m x n matrix A, what is the number of pivot columns for A if it has only the trivial solution?
if the average service rate is 6 customers per hour, and assuming the negative exponential distribution is used to describe the randomness of the service time distribution, what is the probability that the service time will be less than or equal to 6 minutes? a. 0.451 b. 0.549 c. 0.017 d. 0.632
If the average service rate is 6 customers per hour, and assuming the negative exponential distribution is used to describe the randomness of the service time distribution. The probability that the service time will be less than or equal to 6 minutes is 0.549 [B]
The average service rate of 6 customers per hour corresponds to a mean service time of 1/6 = 0.1 hour = 6 minutes. To find the probability that the service time will be less than or equal to 6 minutes, we need to find the cumulative distribution function (CDF) of the exponential distribution evaluated at 6 minutes. The CDF of the exponential distribution is given by:
F(x) = 1 - exp(-λx)
where,
λ = 1/mean = 1/0.1 = 10. Plugging in x = 6, we get:
F(6) = 1 - exp(-10 * 6) = 1 - exp(-60) ≈ 0.549
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a number n is rounded to 2 decimal place
the result is 3.87
using inequalities write down the error interval for n
Answer:
3.90
hope its help
Step-by-step explanation:
y=3.87
n=d/3.90
Excute. by down interval 34.0
The price of an item has been reduced by 80%. The original price was $95. What is the price of the item now?
Answer: $19
Step-by-step explanation:
100% - 80% = 20%
20% ÷100 = 0.2
$95 x0.2 = $19
0r
10% of $95 = $9.50
9.50 x 2 = 19
What is 10x9+2
Anyways can someone help me with my other question on english.
Answer: 92
Step-by-step explanation: multiply first. 9x10=90. now add the two to the answer we just got. 90+2? 92.
Short answer need please.
The surface area of the right prism is equal 142 square inches.
How to calculate the surface area of a right prism
Surface area is the sum of the areas of all faces in a solid, herein we find the case of a right prism with six rectangular faces. The area formula for a rectangle is shown below:
A = w · l
Where:
A - Area, in square inches. w - Width, in inches.l - Length, in inches.Now we calculate the surface area of the rectangular prism:
A = 2 · (7 in) · (3 in) + 2 · (5 in) · (7 in) + 2 · (3 in) · (5 in)
A = 42 in² + 70 in² + 30 in²
A = 142 in²
The right prism has a surface area of 142 square inches.
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what is the arithmetic mean of $\frac{2}{5}$ and $\frac{4}{7}$ ? express your answer as a common fraction.
The arithmetic mean of the two fractions is 68/35.
The arithmetic mean can be calculated using the mentioned formula -
Arithmetic mean = sum of the numbers / frequency of numbers.
Sum of the fractions = 2/5 + 4/7
Performing division of the two numbers
Sum of the fractions = (14 + 20)/35
Sum of the fractions = 34/35
Arithmetic mean = (34/35)/2
Rewriting the average
Arithmetic mean = (34 × 2)/35
Performing multiplication on Right Hand Side of the equation
Arithmetic mean = 68/35
Hence, the Arithmetic mean is 68/35.
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How do you solve
-6y+2=4x
y-2=x
In elimination for linear equations
The solution to the given system of linear equations is (x, y) = (-1, 1).
What is the Linear equation?A linear equation is defined as an equation in which the highest power of the variable is always one.
The system of equations is given in the question, as follows:
-6y + 2 = 4x
y - 2 = x
Here's how to solve this system of equations using the elimination method:
Multiply the first equation by 2:
-12y + 4 = 8x
Add the two equations:
-12y + 4 + y - 2 = 8x + x
-11y + 2 = 9x
Solve for x:
x = (2 - 11y)/9
Substitute the value of x back into one of the original equations to find y:
-6y + 2 = 4x
-6y + 2 = 4((2 - 11y)/9)
-6y + 2 = (8 - 44y)/9
-54y + 18 = 8 - 44y
26y = 26
y = 1
Use the value of y to find x:
x = (2 - 11y)/9
x = (2 - 11 * 1)/9
x = (2 - 11)/9
x = -9/9
x = -1
Thus, the solution is (x, y) = (-1, 1).
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assuming that this population successfully colonizes the island and persists until the present, add a histogram of the 21st century island population to your figure (make sure that they can be easily compared to each other). describe the population in terms of light, medium, and dark individuals. write a brief statement justifying your graph and answer.
a) A histogram representing coat color for the initial colony your graph is given below.
b) Due to the fact that beach mice, which often have light coast colors, outnumber Oldfield colonizers by a factor of several, making dark coat colors less prevalent as time passes.
a) It's critical to understand the geographic distribution of Oldfield mice prior to the histogram presentation. Santa Rosa Island is classified into two primary geographic locations: inland and coastal, although having various different geographical settings.
Oldfield mice come in a variety of colors; fawn-colored (medium or dark) individuals are typically found in inland regions, whilst lighter or white individuals are found in coastal regions. As a result, Santa Rosa Island should have more colored mice and the beach should have more light-hued mice.
b) Oldfield colonists have predominantly dark coat colors, according to the image. The second histogram shows the coast color of the population following 6000 years of Oldfield and beach mouse hybridization. This is due to the fact that beach mice, which often have light coast colors, outnumber Oldfield colonizers by a factor of several, making dark coat colors less prevalent as time passes.
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The complete question is:
Imagine you have a time machine and are able to go back in same so 6,000 years ago. You are standing on newly formed Santa Rosa Island, a barrier island off the coast of Florida that consists entirely of beach habitate. You see that a large and genetically diverse mainland population of oldfield mice have just colonized the island Using all of the information in this case study, answer the following questions and justify your answers with reasoning Questions ists on the island. Write a brief statement justifying.
1. Draw a histogram representing coat color for the initial colony your graph. Describe the population in terms of the proportion of light, medium, and dark individuals.
2. Assuming that this population successfully colonizes the island and persists until the present, add a histogram of the 21" century island population to your figure (make sure that they can be easily compared to each other) Describe the population in terms of light, medium, and dark individuals. Write a brief statement justifying your graph and answer
Neil rents a canopy for $21.75 per
hour with a $25 delivery and
set-up fee. The rental costs a
total of $155.50. For how many
hours does Neil rent the canopy?
Create and solve the equation.
Answer:
21.75x + 25 = 155.50
-25 = -25
21.75x = 130.50
divide your slope from your variable
x = 6
Line GH contains points G(-2, 6) and H(5, -3). What is the slope of CH?
1:-7/3
2:-9/7
3:-7/9
4:-3/7
The slope of line GH that contains points G(-2, 6) and H(5, -3) is equal to: 2. -9/7.
How to calculate the slope of a line?In Mathematics, the slope of any straight line can be determined by using this mathematical equation;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Based on the information provided, we can logically deduce the following data points on the line:
Points on x-axis = (-2, 5).Points on y-axis = (6, -3).Substituting the given data points into the slope formula, we have the following;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (-3 - 6)/(5 - (-2))
Slope (m) = -9/7
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What is the image point (70,0) after a rotation of 270° counterclockwise about the origin?
Answer: ( 0, -70)
Step-by-step explanation: make a sketch on the x-y plane to see why
what is the soulution 8x + 4x = 0
Answer:
0
Step-by-step explanation:
8x + 4x = 0
12x = 0
x = 0/12
x = 0
Step-by-step explanation:
combine like terms[tex]8x + 4x = 0[/tex]
[tex]12x = 0[/tex]
divide both sides by the same factor[tex] \frac{12x}{12} = \frac{0}{12} [/tex]
cancel terms that are in both the numerator and denominator[tex] \frac{12x}{12} = \frac{0}{12} [/tex]
[tex]x = \frac{0}{12} [/tex]
which is basically 0
what is the slope and y intercept of the graph of y=3x-5
One more question before I leave my aunt house!
Grade 8th
Answer:
2. y = 3x + 6
3. y = 2x
4. y = 5x + 60
Step-by-step explanation:
Slope-intercept form: y = mx + b
2.
Pick 2 points (0,6) (1,9)
The y increase by 3, and the x increase by 1, so the slope is
m = 3
the y-intercept is located at (0,6)
Our equation is y = 3x + 6
3.
Pick 2 points (0,0) (1,2)
The y increase by 2, and the x increase by 1, so the slope is
m = 2
the y-intercept is located at (0,0)
Our equation is y = 2x
4.
Pick 2 points (0,60) (2,70)
The y increase by 10, and the x increase by 2, so the slope is
m = 10/2 = 5
the y-intercept is located at (0,60)
Our equation is y = 5x + 60
elzny I NEED HELP PLS
Answer:
105
vsvsbbshshsbxhxhxhggxxggxgx
an experiment consists of observing the gender of a baby when it is born. a. list the outcomes in the sample space. b. list all possible events. c. if the baby is a girl, which event(s) in (b) has (have) occurred?
The concept is an experiment conducted on Probability. Probability tells us how frequently some event will be after numerous repeated trials.
Probability is a branch of mathematics that deals with numerical descriptions of the probability that an event will occur or the probability that a statement is true. The probability of an event is a number between 0 and 1,
The sample space refers to the list of all possible issues of a trial. Each possible outgrowth is represented by a single point in the sample space, irrespective of the number of ways that outgrowth can do.
Given:
A) In an experiment, the gender of a child is observed at birth.
A child can be of two sexes: male and female.
Let (M) be male and (F) be female and denote (S) the pattern space.
Then: S = {M,F}
B) The list of all possible outcomes is called the pattern space. If we name two children in the order of their birth, there are 4 possible outcomes. Using M for men and F for women can shorten the results. The list of all possible outcomes:
S={M, F} ,{M,M}, {F,F}
c) If the child were a girl, then from the previous scenario S= {F, F} would result.
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Chelsea left the WHite House and traveled toward the capital at an average speed of 34km/h. Jasmine left at the same time and traveled in the opposite direction with an average speed of 65km/h. Find Jasmine's and Chelsea's time, rate, and distance.
The distance traveled by Jasmine and Chelsea is given by the equations of speed and J = 20.4 km and C = 39 km , where T is the time taken and T = 0.6 hours
What is Speed?Speed is defined as the rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude
Speed = Distance / Time
Given data ,
Let the speed of Jasmine be represented as S₁ = 34 km/h
Let the speed of Chelsea be represented as S₂ = 65 km/h
Now , the distance traveled by Jasmine = J
And , the distance traveled by Chelsea = C
The measure of J = measure of C
So , the distances are the same
Let the time taken by both Jasmine and Chelsea be T
Now , Speed = Distance / Time
Substituting the values in the equation , we get
Distance D = 34T
And , distance D = 65T
Now , the total distance D = 59.4 km
So , 34T + 65T = 59.4
On simplifying the equation , we get
99T = 59.4
T = 0.6 hours
Hence ,
The distance traveled by Jasmine and Chelsea are 20.4 km and 39 km respectively
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defin the domen and range fanction
Answer:
The domain is the set of all the input values of a function and the range is the possible output given by the function.
if you are tossing a six-sided die, what is the probability of getting either a 1 or a 2 on your first toss and your second toss?
It is based on the likelihood of something occurring. The reasoning behind probability is the foundation of theoretical probability. The probability of getting one or two in first and second toss is [tex]\frac{1}{9}[/tex].
Probability is a number that represents the likelihood or chance that an event will occur. Probabilities can be expressed as proportions ranging from 0 to 1, as well as percentages ranging from 0% to 100%.
The probability of getting one or two in first toss will be:-
[tex]\frac{1}{6} + \frac{1}{6} = \frac{1+1}{6} = \frac{2}{6} = \frac{1}{3}[/tex] ( as the probability of getting one in first toss is [tex]\frac{1}{6}[/tex] and getting two is also [tex]\frac{1}{6}[/tex]).
Similarly the probability of getting one or two in second toss will be:-
[tex]\frac{1}{6} +\frac{1}{6} = \frac{1+1}{6} = \frac{2}{6} = \frac{1}{3}[/tex]
The total probability of getting one or two in first and second toss will be:-
[tex]\frac{1}{3} *\frac{1}{3} = \frac{1}{9}[/tex]
Hence, Henceprobability is [tex]\frac{1}{9}[/tex].
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Identify the initial amount a and the rate of decay r (as a percent) of the exponential function f(t)=475(0.5)t. Evaluate the function when t=3. Round your answer to the nearest tenth.
The function when t=3 to the nearest tenth is 59.4.
How did we get the value?The initial amount is a = 475, and the rate of decay r is 50%.
To evaluate the function when t=3, we plug in t=3:
f(3) = 475(0.5)^3 = 475 * (0.125) = 59.375
Rounding to the nearest tenth, f(3) = 59.4.
Therefore, the correct answer is as given above. It could be concluded that the rounded answer to the nearest tenth is 59.4
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i need help whatsb the answer
Answer:Simplify the expression.
Exact Form:
35
8
Decimal Form:
4.375
Mixed Number Form:
4 3/8
Step-by-step explanation: