Answer: 3/4
Step-by-step explanation: because 12/16 simplified is 3/4
owes $56 for tickets to the school play. If each ticket cost $4, how many tickets did she buy?4 −pound bags. How many pounds of potting soil does Marianne buy?
The number of tickets that she buys will be 14 tickets.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
Marianne owes $56 for tickets to the school play. If each ticket cost $4. Then the number of tickets that she buys will be given as,
⇒ 56 / 4
⇒ 14 tickets
The number of tickets that she buys will be 14 tickets.
Your question was incomplete, but the complete question was given below.
Marianne owes $56 for tickets to the school play. If each ticket cost $4, how many tickets did she buy?
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What are the missing numbers in the following pattern ?
1, 9 , 25, 49 , -------- , 121 , 169 , ------- , 289 , ----------.
Answer:
81, 225, 361
Step-by-step explanation:
What is the common ratio between successive terms in the sequence?
1.5, 1.2, 0.96, 0.768,
The common ratio between successive terms in the sequence is 1. 25
What is common ratio?
Common ratio is defined as the ratio of each term of a geometric sequence to the term before it.
It is also known as the constant factor between consecutive terms of a geometric sequence.
It is the number multiplied or divided by at each interval.
Given the sequence;
1.5, 1.2, 0.96, 0.768,
The common ration is;
= 1. 5/ 1. 2
= 1. 25
Thus, the common ratio between successive terms in the sequence is 1. 25
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Combine the like terms to create an equivalent expression
-4r-2r+5
Answer:
-6r+5
Step-by-step explanation:
Combining the like terms
⇒-4r-2r+5
⇒-6r+5
a building in a city has a rectangular base. the length of the base measures 65ft less than three times the width. the perimeter of this base is 910ft. what are the dimensions of the base?
The dimension of the base of the rectangular building is 340 x 135ft.
Perimeter of Rectangle:
The definition of perimeter of the rectangle is the total length or distance of its boundary on all sides.
The general formula to calculate the Perimeter of a rectangle is,
P = 2(l + w)
Where,
l represents the length of the rectangle
w represents the width of the rectangle.
Given,
The building in a city has a rectangular base. the length of the base measures 65ft less than three times the width.
The perimeter of this base is 910ft.
Now, we need to find the dimensions of the rectangular base.
According to the given details, the values of
L = 3W - 65
W = W
P = 910
Apply the values on the formula, then we get,
=> 910 = 2 * (L + W)
=> 910/2 = (L + W)
=> 455 = L + W
Apply the value of L,
=> 475 = 3W - 65 + W
=> 475 + 65 = 4W
=> 540 = 4W
=> 540/4 = W
=> W = 135
Apply the value of W as 135, in order to get the value of L,
=> L = 3*135 - 65
=> L = 405
=> L = 340
Therefore, the dimension of the rectangular base is 340 x 135 ft.
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Write the inequality that represents the sentence, "Five less than a number is greater than 57."
Choose the correct answer below.
x-5>57
x-5257
x+5257
x+5> 57
.***
Answer:
Option A, or x-5>57
Step-by-step explanation:
Each day a small business owner sells 200 pizza slices at $2.50 per slice and 85 sandwiches at $2.00 each. Business
expenses come to $60 per day. What is the owner's profit for a ten-day period?
The profit is S
The owner's profit for a ten-day period is equal to $ 6100.
We are given that:
Selling price of 1 pizza slice = $ 2.50
Number of pizza slice sold per day = 200
Selling price for pizza slices in a day = 200 × $ 2.50
SP ( pizza ) = $ 500
Selling price of 1 sandwich = $ 2
Number of sandwich sold per day = 85
Selling price for pizza slices in a day = 85 × $ 2
SP ( sandwich ) = $ 170
Selling price in 1 day = $ 500 + $ 170 = $ 670
Now, Cost price in 1 day = $ 60
Profit in 1 day = $ 670 - $ 60 = $ 610
Profit in 10 days = 10 × $ 610 = $ 6100
Therefore, the owner's profit for a ten-day period is equal to $ 6100.
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answer the question in the photo
Answer: input is h, output is k
Step-by-step explanation: inserting a number into h will give you your outcome of k in the solution
Answer:
Step-by-step explanation:
For each complex number z, find arg z
z = 4/5 + 3/5i
The argument of complex number ([tex]\frac{4}{5}[/tex]+i[tex]\frac{3}{5}[/tex] ) is [tex]tan^{-1}[/tex]([tex]\frac{3}{4}[/tex])
Complex number:
A complex number is a result of adding a real and an imaginary number. A complex number has the formula a + ib and is usually represented by the symbol z. Both a and b are real numbers in this case. The value 'a' is known as the real part, which is denoted by Re(z), and the value 'b' is known as the imaginary part Im (z). ib is also known as an imaginary number.
Argument:
A complex number is represented in polar form by the equation r(cos[tex]\theta[/tex] +isin[tex]\theta[/tex]), where [tex]\theta[/tex] is the argument. Arg(z) denotes the argument function, where z is the complex number, i.e. z = x + iy. The complex argument can be determined by the following formula:
arg (z) = arg (x+iy) = [tex]tan^{-1}[/tex](y/x)
Here the given complex number is ([tex]\frac{4}{5}[/tex]+i[tex]\frac{3}{5}[/tex] )
arg (z) = arg ([tex]\frac{4}{5}[/tex]+i[tex]\frac{3}{5}[/tex] )= [tex]tan^{-1}[/tex]([tex]\frac{3}{4}[/tex])
Therefore,the argument of complex number ([tex]\frac{4}{5}[/tex]+i[tex]\frac{3}{5}[/tex] ) is [tex]tan^{-1}[/tex]([tex]\frac{3}{4}[/tex])
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Find the unit rate.
650 ft².
2
____
3
Find the Inverse Function : Algebra 2
y = 2x² + 1
[tex]\displaystyle\\Answer:\ y=\sqrt{\frac{x-1}{2} } \ \ \ \ (x\geq 1,\ \ \ \ y\geq 0)[/tex]
Step-by-step explanation:
[tex]y=2x^2+1\\[/tex]
We change the argument and the value:
[tex]\displaystyle\\x=2y^2+1\\\\x-1=2y^2+1-1\\\\x-1=2y^2\\[/tex]
Divide both parts of the equation by 2:
[tex]\displaystyle\\\frac{x-1}{2}=y^2\\\\ \sqrt{\frac{x-1}{2} }=y \ -\ the\ desired\ inverse\ function\\\\[/tex]
The restrictions are imposed on the inverse function by on x:
[tex]x-1\geq 0\\x\geq 1[/tex]
The restrictions are imposed on the inverse function by on y:
[tex]y\geq 0[/tex]
Then the original function is defined on the sets:
[tex]x\geq 1,\ \ \ \ y\geq 0[/tex]
The initial function, a parabola, is constrained because of the inverse function; only in this case the functions are reciprocal.
Givien f(x) = 5x+4, solve for x when f(x) = -6.
Answer: -26
Step-by-step explanation:
5 x -6 = -30
-30 + 4 = -26
5(-6) + 4 = -26
A line has no thickness, but it does have direction and ___ length.
(Fill in the blank)
A line has no thickness, but it does have direction and infinite length.
A line has length but no width, making it a one-dimensional figure. A line is made up of a collection of points that can be stretched indefinitely in opposing directions.
Given the variety of geometries in modern mathematics, the idea of a line is directly related to how the geometry is described. For instance, a line in the plane is frequently defined in analytic geometry as the collection of points whose coordinates satisfy a given linear equation, but in a more abstract context, such as incidence geometry, a line may be an independent object, distinct from the collection of points that lie on it.
In cartesian plane the general equation of a line is given by :
y=mx+c where the slope is denoted by m and the y-intercept by c.
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Joe moves a 10 kg weight 5 meters with a force of 50 N in 10 seconds. Leroy uses the same force to move the same weight the same distance in 7.5 seconds? Who has more power and why
Answer:
10 sec
Step-by-step explanation:
PLS ILL GIVE U A LOT OF POINTS
Step-by-step explanation:
(3.5q³k^4)³ (2q²k³)²
(42.875 q^9 k^12) (4 q^4 k^6)
171.5 q^13 k^18
The answer is C.
algebra 1
where can parentheses be placed so that it has a value of 26?
4 + 12 • 14 – 3
The expression becomes 4 + 2*(14-3) to get the answer value of the 26.
According to the statement
We have to find that the parentheses of the given expression.
So, For this purpose, we know that the
Algebraic expression definition, a symbol or a combination of symbols used in algebra, containing one or more numbers, variables, and arithmetic operations.
From the given information:
The expression is :
4 + 2 * 14 – 3
Then rearrange it to get the answer value of 26.
For this use associative property
then
it will become and Written like this
4 + 2*(14-3)
4 + 2*(14-3) = 4 + 2*11
4 + 2*(14-3) = 4 + 22
4 + 2*(14-3) = 26
So, The expression becomes 4 + 2*(14-3) to get the answer value of the 26.
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Claire has $300 in an account. She decides she is going to take out half of what's left in
there at the end of each month.
Recursive:
Explicit:
(there is a graph)
Answer:
The Recursive formula for the given condition is f(n-1) . 1/2 and the Explicit formula for the same situation is f(n) = 300 . (1/2)^x
Step-by-step explanation:
It is given that Claire has $300 in an account and she decides that she is going to take out half of the amount left in there in the account at the end of each month.
For such a situation, first of all let's take a look at the graph given below;
Now, let us understand what is recursive and explicit;
Recursive: A recursive formula bases its value on the preceding term whereas,
Explicit: An explicit formula offers the value of a given phrase depending on the location.
Furthermore, by looking at the graph attached herewith, it can be figured out that,
Recursive formula for the above mentioned condition will be;
=> f(0) = 300, f(n)
=> f(n-1) . 1/2
and the Explicit formula for the above mentioned situation will be;
=> f(n) = 300 . (1/2)^x
Therefore, the Recursive formula for the above mentioned condition is f(n-1) . 1/2 and the Explicit formula for the above mentioned situation is f(n) = 300 . (1/2)^x
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Which equation best represents the graph shown below? Explain in detail how you arrived at your answer by stating each of the mathematical transformations necessary and to produce the graph
Answer step by step
A. Y = (x - 2)^2 - 3
B. Y = (x + 2)^2 - 3
C. Y = - ( x - 2 )^2 - 3
D. Y = 1/2 ( x + 2)^2 - 3
The equation that best represents the parabola given in this problem is:
A. y = (x - 2)² - 3.
What is the equation of a parabola given it’s vertex?The equation of a quadratic function, of vertex (h,k), is given by:
y = a(x - h)² + k
In which a is the leading coefficient.
For this problem, the vertex is at (2, -3), hence:
h = 2, k = -3.
And:
y = a(x - 2)² - 3.
When x = 0, y = 1, hence:
1 = 4a - 3
4a = 4
a = 1.
Hence the equation is given by:
A. y = (x - 2)² - 3.
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How do the perimeters of the triangles compare? 24 cm 24 cm Original 24 cm 8 cm 8 cm Scaled 8 cm A. The scaled triangle's perimeter is 1/24 as long as the original triangle's perimeter. B. The scaled triangle's perimeter is 1/9 as long as the original triangle's perimeter. C. The scaled triangle's perimeter is 1/6 as long as the original triangle's perimeter. D. The scaled triangle's perimeter is 1/3 as long as the original triangle's perimeter.
The scaled triangles perimeter is 1/3 the size of the original triangles perimeter
What is Scaled traingle?All of the sides of the triangle known as the Scalene Triangle are of various lengths. It indicates that all three angles and all three sides of a scalene triangle are of different sizes. According to sides, there are three different kinds of triangles.
A triangle is represented as a three-sided polygon in geometry and is a closed, two-dimensional planar object having three sides and three angles. There are three edges and three vertices on it.
According to the given values;
original:
hieght=24 slant= 24 lenght=24
Scaled:
hieght=8 slant= 8 lenght=8
Looking at the dimension of both triangles,
The relationship between the original and the scaled copy is : 1/3*original
Hence, the perimeter is:1/3*perimeter(original)
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A building in a city has a rectangular base. The length of the base measures 75 ft less than three times the width. The
perimeter of this base is 810 ft. What are the dimensions of the base?
The dimensions of the rectangular base of the building with the given perimeter are 120ft and 285ft.
What are the dimensions of the rectangle base?The perimeter of rectangle is expressed as;
P = 2( l + w )
Given the data in the question;
Let x represent the width of the rectangular base.
Width w = xLength = l = 3x-75Perimeter P = 810ftPlug these values into the equation above.
P = 2( l + w )
810 = 2( (3x-75) + x )
810 = 6x - 150 + 2x
810 = 8x - 150
8x = 810 + 150
8x = 960
x = 960/8
x = 120
Hence,
Width of the rectangle = x = 120ft
Length of the rectangle = 3x-75 = 3(120) - 75 = 285ft
Therefore, the dimensions of the rectangular base of the building with the given perimeter are 120ft and 285ft.
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Find the volume of the solid. PLEASE HELPPPPPPPP
Answer:
V≈743.25
Step-by-step explanation:
V=5
12tan(54°)ha2=5
12·tan(54°)·4·182≈743.24624
Nolvia sells copy machines, and her salary is $21,000 plus a 4% commission on sales. the equation s=21,000+ 0.04x
represents her salary s in dollars in terms of her total sales x in dollars.
part: 0/3
part 1 of 3
(a) how much money in sales does nolvia need to earn a salary that exceeds $40,000?
she needs to sell in excess of $
please help im getting timed
The amount of money in sales that Nolvia needs to earn a salary that exceeds $40,000 is greater than or equal to $19,000.
Given that:-
Fixed salary of Nolvia = $21,000
Commission tax that Nolvia gets = 4 %
Linear equation of Nolvia's salary and commission tax = 21000 + 0.04x
Where,
s represents her salary
x represents total sales
We have to find the amount of money in sales that Nolvia needs to earn a salary that exceeds $40,000.
The amount of money in sales that Nolvia needs to earn a salary that exceeds $40,000 = 40000 - 21000 ≥ $ 19,000
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Anyone can help me thanks
Answer:
When expenses are greater than revenue (first choice)
Step-by-step explanation:
Answer:
When expenses are greater than our revenue
A bee flies at 20 feet per second directly to a flowerbed from its hive. The bee stays at the flowerbed for 17 minutes, and then flies directly back to the hive at 12 feet per second. It is away from the hive for a total of 19
minutes.
In linear equation, the distance of the flowerbed from the hive is 2250 feet.
What in mathematics is a linear equation?
There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation. All of the points fall on the same line when you identify the values that together make a linear equation true and plot those values on a coordinate grid.Let , the distance of the flowerbed from the hive is feet.
The bee flies 20 feet per second directly to a flowerbed from its hive and flies directly back to the hive at 12 feet per second.
time = distance / speed
So, the time taken by the bee to reach the flowerbed x/20 seconds and the time taken to fly back to the hive = x/12 seconds.
The bee stays at the flowerbed for 15 minutes or (15×60)seconds or 900 seconds and it is away from the hive for a total of 20 minutes or (20×60)seconds or 1200 seconds.
So, the equation will be
x/20 + x/12 + 900 = 1200
3x + 5x / 60 = 300
8x = 300 * 60
x = 2250
Thus, the distance of the flowerbed from the hive is 2250 feet.
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If line KM bisects angle JKL, angle JKL = 92 degrees, and angle MKL = (5x+1) degrees, find the value of
The value of the variable x is found to be x = 9.
What is termed as angle bisector?In geometry, an angle bisector is a line that divides an angle into two equal angles. A bisector is something that divides a shape or thing into two equal portions. An angle bisector is a ray that divides an angle into two equal components of the same measurement.A bisected angle divides the two sides in equals.
JKM = LKM
As, both are equal.
Then, each of these angles are 1/2 the angle JKL.
1/2 JKL = MKL
1/2 ×( 92) = 5x + 1
Further simplifying;
46 = 5x+1
Subtract 1 from each side
46-1 = 5x
45 = 5x
Divide each side by 5
45/5 = 5x/5
x = 9
Thus, the value of the unknown variable is found to be x = 9 units.
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(3.6 x 105) / (1.2 x 103) =
3.0582524271844
Step-by-step explanation:
1.multiply the numbers:3.6×105=378
2.multiply the numbers:1.2 ×103=123.6
3.Divide the numbers:378/123.6=3.0582524271844
Austin is mailing packages. Each small package costs him $2.60 to send. Each large package costs him $3.50. How much will it cost him to send 1 small package and 5 large packages?
Answer:
$20.1
Step-by-step explanation:
1 small package is $2.60
1 large package is $3.50
We multiply 3.5 * 5 since there are 5 large packages and we add 1 small package to get $20.1
Answer:
$20.10
Step-by-step explanation:
Let s = the cost of a small package and
l = the cost of a large package
1 small pakcage and 5 large package
1s+5l
Substitute s = $2.60 and l = $3.50
1($2.60) + 5(3.50)
= $20.10
A qualitative forecasting technique that is useful for identifying what consumers like and dislike about a product is?
A qualitative forecasting technique that is useful for identifying what consumers like and dislike about a product is Market research.
What methods are employed in a qualitative forecast?
The expert opinion approach, the Delphi method, and the market survey approach are the three main methods utilized in qualitative forecasting.
What are qualitative forecasting models, and when are they useful?
Qualitative forecasting techniques are based on the judgment and opinion of experts and consumers and are only appropriate in the absence of historical data. Market research, Delphi method, and informed opinion and judgment are a few examples of qualitative forecasting techniques.Learn more about qualitative forecasting
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what are some properties of an isosceles triangle
Answer:
3 equal side 3 congruent angles of 60°
Step-by-step explanation:
what are some properties of an isosceles triangle
3 equal side 3 congruent angles
in a sentence.
11) Kelsey has a $30 online gift voucher. She plans to buy as many books as she can. The cast of each book
is $3. There is also a single shipping charge of $2. How many books can she afford without spending more
than her gift voucher amount?
Answer:
Kelsey can buy 9 books.
Step-by-step explanation:
If Kelsey wants to buy as much books as possible with 30$, multiply 3$ by 9 (books) which is 27$.
30$-27$ is 3$ so she will have 3$ extra dollars to use for shipping. 2$ is the price for shipping so she will have an extra dollar.
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