Answer:
The number of cases to be purchased is 2.
Step-by-step explanation:
Giving the following information:
World's Finest Coffee (Decaf) is sold by the case where one case contains 48 6-ounce packages.
First, we need to calculate how many pounds are in each case.
1 pound = 16 ounces
1 case= (48*6)/16
1 case= 18 pounds
Now, the number of cases required each month:
36 pounds = 18*x
x= number of cases
x= 36/18
x= 2
The number of cases to be purchased is 2.
What is Adjusted Gross Income?
What is taxable income?
Are they the same?
Answer:
taxable income is the portion of your total income that can be taxed
adjusted gross income is an individual's total gross income minus specific deductions. It is used to calculate taxable income, which is AGI minus allowances for personal exemptions and itemized deductions. For most individual tax purposes. No they are not the same
Step-by-step explanation:
please help i wasnt at school for like a month
Answer:
The slope of the line. otherwise known as the gradient, can be found in the equation as the number in front of the x term.
In this case, it is - 1/2 (or -0.5, however you want to answer it)
Use the quadratic formula to solve for x 3x^2+14x=-11
A- X=-22/3 x=-2
B- X=-16/3 x=-2/3
C- X=-11/3 x=-1
I need help with this.
Answer:
12 mm
Step-by-step explanation:
Use Pyth Theor
9^2 + b^2 = 15^2
81 + b^2 = 225
b^2 = 144
sqrt 144 = 12
b = 12
Answer:
The length of b is 12 mm.
Step-by-step explanation:
Solution :
Here, we have given that the two sides of triangle are 9 mm and 15 mm.
Finding the third side of triangle by pythagoras theorem formula :
\({\longrightarrow{\pmb{\sf{{(c)}^{2} = {(a)}^{2} + {(b)}^{2}}}}}\)
\(\pink\star\) a = 9 mm\(\pink\star\) c = 15 mm\(\pink\star\) b = ?Substituting all the given values in the formula to find the third side of triangle :
\({\longrightarrow{\sf{{(c)}^{2} = {(a)}^{2} + {(b)}^{2}}}}\)
\({\longrightarrow{\sf{{(15)}^{2} = {(9)}^{2} + {(b)}^{2}}}}\)
\({\longrightarrow{\sf{{(15 \times 15)}= {(9 \times 9)}+ {(b)}^{2}}}}\)
\({\longrightarrow{\sf{{(225)}= {(81)}+ {(b)}^{2}}}}\)
\({\longrightarrow{\sf{225= 81+ {(b)}^{2}}}}\)
\({\longrightarrow{\sf{{(b)}^{2} = 225 - 81}}}\)
\({\longrightarrow{\sf{{(b)}^{2} = 144}}}\)
\({\longrightarrow{\sf{b = \sqrt{144} }}}\)
\({\longrightarrow{\sf{b = 12}}}\)
\(\star{\underline{\boxed{\sf{\purple{b = 12 \: mm}}}}}\)
Hence, the length of b is 12 mm.
\(\rule{300}{2.5}\)
scaling, when it applies to graphics, means changing the vertical or horizontal size of the graphic by a percentage. true or false
False. Scaling, in the context of graphics, refers to the process of resizing an image or graphic while maintaining its aspect ratio. It involves changing both the vertical and horizontal size of the graphic by the same percentage.
When scaling a graphic, the goal is to resize it proportionally, preserving the original aspect ratio. This means that both the vertical and horizontal dimensions are changed by the same factor or percentage. For example, if an image is scaled by 50%, both its height and width will be reduced by 50% of their original values. This ensures that the graphic maintains its original proportions and does not appear distorted.
Scaling graphics is commonly used in various applications, such as graphic design, image editing, and web development, to resize images without distorting their appearance. It allows for consistent resizing across different devices or platforms while maintaining the integrity of the original graphic.
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What is the area of this trapezoid?
26 cm²
32 cm²
40 cm²
72 cm²
Answer:
area = 26 m²
Step-by-step explanation:
4x5 = 20
3x4x0.5 = 7.5
20 + 6 = 26 m²
a bank has set a standard that mortgage applications be processed within a certain number of days of filing. if, out of a sample of 1000 applications, 75 fail to meet this requirement, what is the epmo metric?
The Epmo metric is 0.075.
Given in the Question:
We have given there are a sample of 1000 applicants
So, total number of applicants = 1000
In which 75 fail to meet the requirement
So the number of applicants who fail to meet the requirement = 75
Now, we will find the epmo metric.
We will use the formula of epmo metric:
epmo metric = number of applicant to fail to meet the requirements/
total number of applicants
epmo metric = 75/1000
= 0.075
Hence, the epmo metric is 0.075.
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which answer is correct?
Least Squares Means Adjustment for Multiple Comparisons: Tukey-Kramer
All models have significantly different means. Honda and Kia have significantly better MPG_Gity than Ford. Honda has significantl
The correct answer is:
The results of the ANOVA indicate that both Kia and Honda have significantly better gas mileage than Ford.
Given is an information about,
Least Squares Means
Adjustment for Multiple Comparisons: Tukey-Kramer
We need to identify the correct answer from the options given.
So, from the table we can conclude that "the results of the ANOVA indicate that both Kia and Honda have significantly better gas mileage than Ford."
This can be inferred from the comparison of LSMEAN numbers in the table.
The LSMEAN number for Ford is 1, for Honda it is 2, and for Kia it is 3. Comparing the values in the table, we can see that the Pr > t values for the comparisons between Ford and both Honda and Kia are less than the significance level (0.05).
This indicates that there are significant differences in gas mileage between Ford and both Honda and Kia, suggesting that both Honda and Kia have significantly better gas mileage than Ford.
Hence the correct option is 4th.
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Complete question is attached.
rewrite the following series using summation notation. use 1 as the lower limit of summation. 13 23 33... 133
The series can be rewritten using summation notation as: ∑(10n + 3) from n = 1 to 13
In the given series, each term is obtained by adding 10 to the previous term. So, we can write the nth term as 10n + 3, where n represents the position of the term in the series.
Using the summation notation, we can write the sum of the series as the sum of the nth terms from n = 1 to 13.
Therefore, the summation notation is:
∑(10n + 3) from n = 1 to 13
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PLS HELP, 20 POINTS (easy question but I'm dummy)
Which of the following properties listed is NOT true for a rectangle.
A. both pairs of opposite sides are parallel
B. diagonals are congruent
C. diagonals are perpendicular
D. both pairs of consecutive sides are perpendicular
Answer:
diagonals are perpendicular......its not true
Step-by-step explanation:
hiiii
What is 52% as a decimal
Answer:
0.52
Step-by-step explanation:
This is self explanitory.
Answer:
0.52
Step-by-step explanation:
to make a percent a decimal, divide by 100
One year old baby often weighs 250% of its birth weight. What should a one year old baby weigh if it was 8 pounds at birth?
Answer:
20 pounds
Step-by-step explanation:
250% = 2.5
8 times 2.5 = 20 pounds
So, a one-year-old baby weighs 20 pounds.
What are the exact solutions of x2 − x − 4 = 0, where x equals negative b plus or minus the square root of b squared minus 4 times a times c all over 2 times a? (1 point) x = the quantity of negative 1 plus or minus the square root of 15 all over 2 x = the quantity of 1 plus or minus the square root of 15 all over 2 x = the quantity of 1 plus or minus the square root of 17 all over 2 x = the quantity of negative 1 plus or minus the square root of 17 all over 2
The correct answer to the quadratic equation is x = the quantity of 1 plus or minus the square root of 17 all over 2
The exact solutions of the quadratic equation x^2 - x - 4 = 0 can be found using the quadratic formula. According to the quadratic formula, the solutions are given by the formula:
x = (-b ± √(b^2 - 4ac)) / (2a)
In this equation, a = 1, b = -1, and c = -4. Substituting these values into the formula, we have:
x = (-( -1) ± √((-1)^2 - 4(1)(-4))) / (2(1))
Simplifying further:
x = (1 ± √(1 + 16)) / 2
x = (1 ± √17) / 2
Therefore, the exact solutions of the quadratic equation x^2 - x - 4 = 0 are:
x = (1 + √17) / 2
x = (1 - √17) / 2
To summarize, the correct answer is:
x = the quantity of 1 plus or minus the square root of 17 all over 2
To solve the quadratic equation, we use the quadratic formula, which is a general formula for finding the solutions of any quadratic equation. By comparing the given equation to the standard form of a quadratic equation (ax^2 + bx + c = 0), we can identify the values of a, b, and c. Substituting these values into the quadratic formula, we can simplify the expression to find the exact solutions of the equation. In this case, the quadratic formula yields two solutions, which can be written in the form of "x = ..." with the expressions inside the square root representing the discriminant of the equation. The discriminant determines the nature of the solutions: if it is positive, there are two distinct real solutions, if it is zero, there is one real solution, and if it is negative, there are two complex solutions. In this case, the discriminant (√17) is positive, indicating that there are two distinct real solutions, as given by the answer.
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Which point is a point where the graph of y = (x + 2)(x2 + 4x + 3) crosses the x-axis?
The points at which the graph of y = (x + 2)(x² + 4x + 3) crosses the x-axis are: (-1, 0), (-2, 0) and (-3, 0)
Consider an equation of the graph y = (x + 2)(x² + 4x + 3)
We need to find the points at wchi the graph of function y = (x + 2)(x² + 4x + 3) crosses the x-axis.
We know that the x-intercept if nothing ut the point at whhich the graph of the function crosses the x-axis.
To find the x-intercept of the graph we need to solve an equation y = 0
Consider y = 0
(x + 2)(x² + 4x + 3) = 0
x + 2 = 0 OR x² + 4x + 3 = 0
x = -2 OR (x + 1)(x + 3) = 0
x = -2 OR x = -1 OR x = -3
Thus the required points are x = -1, -2 and -3
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What does i^2 equal?
The rectangular classroom is 36ft in length and 32 feet in with. The scale drawing of the floor has a length of 9 inches. What is the area, in square inches, of the floor in the scale drawing? Explain your answer.
Answer:
72 inch²
Step-by-step explanation:
Rectangular classroom
Length=36ft
Width=32ft
scale drawing length = 9 inches
Scale drawing width=x
Ratio of the length to the scale drawing length = 36/9
Ratio of the width to the scale drawing width=32/x
To find x
36/9=32/x
Cross product
36x=32*9
x=288/36
=8
x=8
Area of a rectangle= length × width
Length=9 inches
Width=8 inches
Area of the rectangular classroom= 9 inches × 8 inches
=72 inch²
? is there a basis for r2 consisting of eigenvectors for a? does this explain why something went wrong in part (b)?
There may or may not exist a basis for mathbb{R}^2 consisting of eigenvectors for matrix A. Whether or not such a basis exists depends on the matrix A itself. If matrix A is diagonalizable, then it has a basis consisting of eigenvectors. However, not all matrices are diagonalizable. For example, a matrix with only one eigenvalue may not be diagonalizable. Therefore, it is not possible to say for certain whether or not a basis for mathbb{R}^2 consisting of eigenvectors for A exists without more information about A.
If something went wrong in part (b) of the question, it may be due to the fact that the matrix A is not diagonalizable and therefore does not have a basis consisting of eigenvectors. In such cases, the Jordan normal form can be used to find a generalized basis consisting of eigenvectors and generalized eigenvectors. This may be more complicated than simply finding a basis consisting of eigenvectors, as it involves finding additional vectors to complete the basis. If the problem in part (b) assumed that a basis for mathbb{R}^2 consisting of eigenvectors for A exists, then it would not be a valid assumption if A is not diagonalizable.
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200 + 500 - 30 =
solve
Answer:670
Step-by-step explanation:
200 + 500 - 30 =
700-30
670
Point A (6,2) is translated using the vector <-5,2>. Where is the new point located?
======================================================
Explanation:
The notation <-5,2> is the same as writing the translation rule \((x,y) \to (x-5,y+2)\)
It says: move 5 units to the left and 2 units up
The point (6,2) moves to (1,2) when moving five units to the left. Then it ultimately arrives at (1, 4) after moving 2 units up. You could move 2 units up first and then 5 units to the left later on, and you'd still arrive at (1, 4). In this case, the order doesn't matter (some combinations of transformations this won't be the case and order will matter).
---------
Or you could write out the steps like so
\((x,y) \to (x-5, y+2)\\\\(6,2) \to (6-5, 2+2)\\\\(6,2) \to (1, 4)\\\\\)
We see that (6,2) moves to (1, 4)
Tom is the manager of Happy Feet, a corporation that designs and sells children's shoes. As manager, Tom gets an insider tip and decides to sell some of his stock in the company, making a ton of money for himself. What is Tom's insider trading an example of?
Tom's insider trading is an example of unethical behavior involving the exploitation of non-public information for personal financial gain.
Insider trading refers to the buying or selling of securities based on material, non-public information about a company. In this scenario, Tom, as the manager of Happy Feet, possesses insider information about the company's financial status, performance, or other material information that is not available to the general public.
By using this privileged information to make personal trading decisions, specifically selling his stock in the company, Tom is engaging in insider trading. This behavior is considered illegal and unethical in most jurisdictions, as it undermines the principles of fair and transparent markets.
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0.66 pts
Sandy bought a pair of shoes on sale for 40% off the original price and an additional 25% off the discount price. If the shoes originally cost $60, what was the final cost, without tax, that Sandy paid for the shoes?
Answer:
The price is $27.00
Step-by-step explanation:
First you find 40% of 60 which is 24.
Next you subtract 24 from 60 (60-24) which equals 36.
Then you find 25% of the discounted price (36) which is 9.
Finally you subtract 9 from 36 (36-9) which is 27.
Conclusion:
So therefore the answer is $27.00.
I don't care if I get brainlyist just glad I could help :)
The function f(x)f(x) is graphed below. Determine whether the degree of the function is even or odd and whether the function itself is even or odd.
Answer:
The degree is even and the function is even.
Step-by-step explanation:
The graph is a parabola, indicating that the degree is even.
The defintion of an even function is that f(x)=f(-x), and by observing the graph of the function, we will be able to verify that f(x)=f(-x). It is therefore an even function.
The degree of the function is even and the function will be even.
What is a function?A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.
The function f(x) is graphed below.
The graph of the function is parabolic whose vertex is at (0, -30). And the curve is passing through the x-axis.
Then the equation of the curve will be
f(x) = ax² - 30
Where a is the leading coefficient.
Then the degree of the function is even and the function will be even.
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the qrs manufacturing company buys components from four vendors; their locations are given as (x, y) coordinate pairs in the table below. x y qrs 0 0 vendor a 2 0 vendor b -1 2 vendor c 0 5 vendor d 6 0 answer the following 2 (two) questions. - using the metropolitan model, what is the sum of distances between qrs and its four vendors? - using the euclidean model, what is the sum of distances between qrs and its four vendors? a. 22 b. 16.2 c. 15 d. 18 e. 17.5 f. 20 g. 14 h. 15.2 i. 16
using the euclidean model, the sum of distances between qrs and its four vendors is g.14
What do you mean by the euclidean model?
A mathematical system known as Euclidean geometry is credited to the ancient Greek mathematician Euclid. It is detailed in his geometry textbook, the Elements. In Euclid's method, many more propositions (theorems) are derived from a small collection of axioms (postulates) that are intuitively attractive.
The distance of (0,0) is 0 ,similarly, distance from (2,0) is 2; (1,2) is 1 and (0,5) is 5 and (6,0) is 6.
the sum of all distances are (0+2+1+5+6) is 14.
Hence according to the euclidean model , the sum of all distances is 14.
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According to data from 2015, women's shoe sales in the us are roughly normally distributed by shoe size with a mean of size 8 and a standard deviation of 1.25 sizes.
a) if a women's shoe sold in the us is a size 7.5, what is the z-score?
b) what size of women's shoe would have a z-score of 1.3?
c) if a women's shoe sold in the us is a size 9, what is the z-score and percentile? z-score:
percentile:
d) what size of women's shoe would have a z-score of -1.5? what percentile is that? shoe size:
percentile:
e) what women's shoe size represents the 80th percentile? z-score:
shoe size:
a) The z-score for a shoe size of 7.5 is approximately -0.4.
b) The shoe size corresponding to a z-score of 1.3 is approximately 9.625.
c) The z-score for a shoe size of 9 is approximately 0.8.
d) The shoe size corresponding to a z-score of -1.5 is approximately 6.125.
e) To find the shoe size representing the 80th percentile, we need to determine the corresponding z-score using a z-score table or calculator and then use the formula x = (z * standard deviation) + mean.
a) To calculate the z-score, we use the formula: z = (x - mean) / standard deviation. For a shoe size of 7.5, the z-score would be: z = (7.5 - 8) / 1.25 = -0.5 / 1.25 = -0.4.
b) To find the shoe size with a z-score of 1.3, we rearrange the formula: x = (z * standard deviation) + mean. Plugging in the values, we get: x = (1.3 * 1.25) + 8 = 1.625 + 8 = 9.625.
c) For a shoe size of 9, the z-score is: z = (9 - 8) / 1.25 = 1 / 1.25 = 0.8. The percentile can be found using a z-score table or calculator.
d) With a z-score of -1.5, we can use the same formula as before: x = (z * standard deviation) + mean. Plugging in the values, we get: x = (-1.5 * 1.25) + 8 = -1.875 + 8 = 6.125. The percentile can be found using a z-score table or calculator.
e) To find the shoe size representing the 80th percentile, we can use the inverse of the z-score formula: x = (z * standard deviation) + mean. The z-score corresponding to the 80th percentile can be found using a z-score table or calculator.
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Dome Prep School is planning to plant sod to cover their combined track and football field. The field is rectangular in the middle, with a width of 160 feet and a length of 360 feet. On both ends, the field is semicircular,
Answer:
150 pallats
Step-by-step explanation:
Select the correct answer from each dropdown menu. Consider this expression. The simplest form of the expression has in the numerator and in the denominator?
The simplest form of the expression has 4 in the numerator and (x-2) in the denominator.
What are numerator and denominator?The numerator indicates the total number of selected equal parts. Whereas, the denominator indicates the total number of equal parts.
We have the expression
3/(x-2) + (x-2) / (x²-4x+4)
Simplifying x²- 4x +4 gives (x-2)².
Therefore, we can write the expression as
3/(x-2) + (x-2)/(x-2)² = 3/(x-2) + 1/(x-2)
= 4/(x-2).
Therefore, the simplest form of the expression has 4 in the numerator and (x-2) in the denominator.
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Question 2(Multiple Choice Worth 4 points)
(01.04 LC)
Given the linear functions f(x) = x -2 and g(x)=-3x + 4, determine (f- g)(x).
(f-g)(x) = -3x - 8
(f-g)(x)=-3x²-8
(f-g)(x) = -3x² + 10x - 8
(f-g)(x) = -3x² - 2x - 8
The expression for the difference of two linear functions is (f - g)(x) = 4x - 6.
What is linear function?A linear function is a type of function in mathematics that has the form f(x) = mx + b, where x is the independent variable, f(x) is the dependent variable, m is the slope of the line, and b is the y-intercept.
According to given information:To find the expression for the difference of two linear functions, f(x) and g(x), denoted by (f - g)(x).
The expression for (f - g)(x) can be found by subtracting g(x) from f(x):
(f - g)(x) = f(x) - g(x)
Substituting the given functions f(x) = x - 2 and g(x) = -3x + 4, we get:
(f - g)(x) = f(x) - g(x)
= (x - 2) - (-3x + 4) [Substitute the given values of f(x) and g(x)]
= x - 2 + 3x - 4 [Distribute the negative sign in front of (-3x + 4)]
= 4x - 6 [Combine like terms]
Therefore, (f - g)(x) = 4x - 6.
Option D (-3x² - 2x - 8) is incorrect as it involves squaring a linear expression, which would result in a quadratic expression. Option A (which has no operation between 3 and 22) is not a valid expression. Option B (-3x - 8) and C (3x3x22 or 198) do not take into account the fact that each sundae can be made using one of 3 syrups and one of 3 candy toppings.
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What is the composition of the translations
(T〈−3, 4〉 ∘ T〈8, −7〉)(x, y) as one translation?
Answer:
P=5 and Q=-3
Step-by-step explanation:
-3+8=p=5
4-7=q=-3
<p, q>= <5,-3>
The composition of the translations; T < − 3 , 4 > ⋅ T < 8 , − 7 > (x, y) as one translation gives;
T < 5 , − 3 > (x, y)
We want to compose the translations; T < − 3 , 4 > ⋅ T < 8 , − 7 > (x, y) as one translation;
Now, translation is usually a map defined as;
T < a , b> < x , y> = (x + a, y + b)
Thus, the image of the first translation is given as;
T < 8 , − 7 > (x, y) = (x + 8, y - 7)
Finally;
T < − 3 , 4 > ⋅ T < 8 , − 7 > (x, y) = T < − 3 , 4 > ⋅ (x + 8, y - 7)
⇒ (x + 8 - 3, y - 7 + 4)
⇒ (x + 5, y - 3)
Since T < a , b> < x , y> = (x + a, y + b)
Then; (a, b) = (5, -3)
As one translation gives;
T < 5 , − 3 > (x, y)
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The formula for a three-dimensional
midpoint is
dimension, north as the y-dimension, and above as the z-dimension.
+3+3+1+2). Use this formula to solve the following problem, using west as the x-
Two airplanes are circling a small airport. Airplane 1 has a position 2000 feet West, 600 feet North, and 3000 feet above the air traffic control tower.
Airplane 2 has a position 1000 feet East, 1400 feet North, and 2200 feet above the air traffic control tower. Relative to the tower, what is the location of the
point directly between the two airplanes?
Enter the correct coordinates in the boxes.
Assume the air traffic control tower to be at the three-dimensional coordinate (0, 0, 0).
5 of 5
The location of the point directly between the two airplanes is (1,500 1,000, 2,600), relative to the tower.
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Using the midpoint concept, the location of the point directly between the two airplanes is (-500, 1000, 2600).
What is the midpoint concept?The midpoint between two points is the halfway point between them, and is found using the mean of the coordinates.
For this problem, the coordinates are given as follows:
Airplane 1: (-2000, 600, 3000).Airplane 2: (1000, 1400, 2200).Hence the coordinates of the midpoint are given as follows:
x: (-2000 + 1000)/2 = -500.y: (600 + 1400)/2 = 1000.z: (3000 + 2200)/2 = 2600.The location is (-500, 1000, 2600).
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Santiago’s total budget for the materials to build the ramp and the foam pit is 3,000. With his current design, will he be over budget or under budget, and by how much?
Total cost to build the ramp is $1467.4. Santiago’s has over budget to build the ramp.
What is area?Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.
Here,
Area of 2 rectangles is
2(Length×Width)
= 2(20×12)
= 480 square feet
Area of small rectangle = 12×8.5
= 102 square feet
Area of 2 triangles = 1/2×Base×Height
= 1/2 ×20×8.5
= 85 square feet
Total area = 480+102+85
= 667 square feet
Total cost to build the ramp = 667×2.20
= $1467.4
Santiago’s total budget for the materials to build the ramp and the foam pit is $3,000.
Hence, Santiago’s has over budget to build the ramp.
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"Your question is incomplete, probably the complete question/missing part is:"
The material Santiago will use to build the ramp cost $2.20 per square foot. Find the total cost of materials for the ramp? All sides are; 21.7, 20, 12 for perimeter and 8.5 for the height.
Santiago’s total budget for the materials to build the ramp and the foam pit is 3,000. With his current design, will he be over budget or under budget, and by how much?