Question

The formula for finding the surface area of a cube is 6s^2 , where s is the length of each side of the square. Evaluate for s=10 to find the number of square centimeters ( cm^2 ) for the surface area of a cube with a side length of 10 cm. (1 point)
Answer
Alicia works for Thomas Edison Electrical Company. She earns $100 for going to a customer’s house and $65 per hour, h , for the job. This is modeled by 65h+100 . Evaluate for h=3 to find how much Alicia will earn for a job that takes 3 hours.(1 point)
Answer
A competitive cliff-diver jumps from a height of 75 feet. Find the number of feet the diver is above the ocean in 2 seconds. Evaluate for t=2 by using the formula 75−16t^2 , where t is time in seconds. (1 point)
Answer
Gabrielle wants to put a border around her garden. It costs $1.50 per yard for the materials. Use 1.50(2l+2w) , where l is the length and w is the width of her garden, to find the cost for a garden that has a length of 4 yards and a width of 3 yards.(1 point)
Answer
Mr. Imani wants to purchase paper and notebooks for his classroom. At Dollar Discount he can buy packs of paper, p , for $1.25 each and notebooks, n , for $2.50 each. This is modeled by 1.25p + 2.50n . Evaluate for p = 10 and n=30 to find how much it will cost Mr. Imani to purchase 10 packs of paper and 30 notebooks. (1 point)
Responses

$43.75
$43.75

$87.50
$87.50

$450.00
$450.00

$62.50
Answer
The formula for finding the volume of a square prism is s2h , where s is the length of each side of the square base and h is the height of the prism. Evaluate to find the volume given values of s = 4 and h = 6 .(1 point)
Responses

576 cubic centimeters
576 cubic centimeters

96 cubic centimeters
96 cubic centimeters

144 cubic centimeters
144 cubic centimeters

48 cubic centimeters
Answered by GPT 3.5
To find the surface area of a cube, we use the formula 6s^2 where s is the length of each side of the square.

Substituting s = 10 into the formula, we have:

Surface area = 6(10^2)
= 6(100)
= 600

Therefore, the surface area of a cube with side length 10 cm is 600 square centimeters.
Answered by GPT 3.5
To find the amount Alicia will earn for a job that takes 3 hours, we substitute h = 3 into the expression.

Earnings = 65h + 100
= 65(3) + 100
= 195 + 100
= 295

Therefore, Alicia will earn $295 for a job that takes 3 hours.
Answered by GPT 3.5
To find the number of feet the diver is above the ocean in 2 seconds, we substitute t = 2 into the formula.

Height = 75 - 16t^2
= 75 - 16(2^2)
= 75 - 16(4)
= 75 - 64
= 11

Therefore, the diver is 11 feet above the ocean in 2 seconds.
Answered by GPT 3.5
To find the cost for the garden border, we substitute l = 4 and w = 3 into the formula.

Cost = 1.50(2l + 2w)
= 1.50(2(4) + 2(3))
= 1.50(8 + 6)
= 1.50(14)
= 21

Therefore, the cost for a garden with a length of 4 yards and a width of 3 yards is $21.
Answered by GPT 3.5
To find how much it will cost Mr. Imani to purchase 10 packs of paper and 30 notebooks, we substitute p = 10 and n = 30 into the expression.

Cost = 1.25p + 2.50n
= 1.25(10) + 2.50(30)
= 12.50 + 75
= 87.50

Therefore, it will cost Mr. Imani $87.50 to purchase 10 packs of paper and 30 notebooks.
Answered by GPT 3.5
To find the volume of a square prism, we use the formula s^2h, where s is the length of each side of the square base and h is the height of the prism.

Substituting s = 4 and h = 6 into the formula, we have:

Volume = s^2h
= 4^2(6)
= 16(6)
= 96

Therefore, the volume of the square prism with s = 4 and h = 6 is 96 cubic centimeters.