MATHEMATICS HIGH SCHOOL

Kesara Santiago purchased a riding mower for $2,746.00. She received a $49.95 rebate from the manufacturer and a $38.95 rebate from the store. What is the final price?

Answers

Answer 1

Answer:

Answer: $2657.1

Step-by-step explanation:

Given: The price of a riding mower = $2,746.00

The amount she received by manufacturer as rebate= $49.95

The amount she received by the store as rebate = $38.95

The total amount she received as rebate = $\$49.95+\$38.95=\$88.9$

Therefore, the final price of the riding mower is given by :-

$\text{Final Price}=\$2746-\$88.95=\$2657.1$

Answer 2

Answer: $2657.1

2746-49.95-38.95

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Find the volume of the attached figure...Help please!!! I'll give brainliest if you explain your answer!!!

Answers

Answer:

82.5 cubic inches

Step-by-step explanation:

Given pentagonal prism.

The base is a regular pentagon with side of 4 in and the distance from the center to side 2.75 in.

By connecting the center to each vertex we get 5 equal triangles with side of 4 in and height of 2.75 in.

Find the base area:

B = 5*1/2*4*2.75 = 27.5

Find the volume:

V = Bh
V = 27.5*3 = 82.5

The volume is 82.5 cubic inches

First find the area of the pentagon. The equation for this is Area = pa/2, with p being the perimeter and a being the apothem (2.75in). The perimeter is 4*5, since there are five sides and one of them is four inches. This means the perimeter is 20 inches. Back to the equation, 20*2.75 = 55. 55/2 = 27.5in^2.

Next, multiply by the height. This shape’s height is 3 inches. 27.5*3 = 82.5.

The volume is 82.5 in^3

college administrator claims that 77% of college students purchase their books from the campus bookstore. you think this is inaccurate and form a random sample of 58 students at that college and find that 50 of them purchased their books from the bookstore. test the administrator's claim using a level of significance of 1%. what type of test will be used in this problem? a test for a proportion correct what evidence justifies the use of this test? check all that apply

Answers

Step-by-step explanation:

to get 56 u have to flip it then mutiplie

Solve the equation for y(x-3)^=4y-12

Answers

remember yuo can do anything to an equaiton as long as you do it to both sides

(x-3)=4y-12
x-3=4y-12
add 12 both sides
x-3+12=4y+12-12
x+9=4y+0
x+9=4y
divid both sides by 4
(x+9)/4=y

First

y(x + -3) = 4y + -12\

Then you would Reorder the terms:
y(-3 + x) = 4y + -12 (-3 * y + x * y) = 4y + -12

And theses (xy + -3y) = 4y + -12(xy + -3y) = 4y + -12

then we would Reorder the terms:xy + -3y = -12 + 4y

then you would Move all terms containing x to the left, all other terms to the right.

so that means we would Add '3y' to each side of the equation.xy + -3y + 3y = -12 + 4y + 3y

then you would want to Combine like terms: -3y + 3y = 0xy + 0 = -12 + 4y + 3y xy = -12 + 4y + 3y
Combine these two 4y + 3y = 7yxy = -12 + 7y
then we would want to Divide each side by 'y'.x = -12y-1 + 7

so after simplifying it, it would be x = 7 + -12y-1

What is the solution to the linear equation?

6k + 10.5 = 3k + 12