The formula for finding the surface area of a cube is 6s2, where s is the length of each side of the square. Evaluate for s=10 to find the number of square centimeters (cm2) for the surface area of a cube with a side length of 10 cm. (1 point)
To find the surface area of a cube with a side length of 10 cm, we can substitute s = 10 into the formula:
Surface Area = 6s²
= 6(10)²
= 6(100)
= 600
Therefore, the surface area of the cube is 600 square centimeters.
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)
To find the cost of the border for a garden with a length of 4 yards and a width of 3 yards, we can 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 will be $21.
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
$450.00
$450.00
$62.50
$62.50
$43.75
$43.75
$87.50
To find the cost of purchasing 10 packs of paper and 30 notebooks, we can substitute p = 10 and n = 30 into the formula:
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.
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)
To find the volume of a square prism with side length 4 and height 6, we can substitute s = 4 and h = 6 into the formula:
Volume = s²h
= 4²(6)
= 16(6)
= 96
Therefore, the volume of the square prism is 96 cubic units.
Each month Ms. Tanaka is paid a base salary of $2,500 in addition to $100 for each television that she sells. This is modeled by 2,500 + 100t, where t represents the number of televisions. Evaluate for t = 12 to find how much Ms. Tanaka will earn for selling 12 televisions this month.(1 point)
Responses
$31,200
$31,200
$2,612
$2,612
$2,600
$2,600
$3,700
To find how much Ms. Tanaka will earn for selling 12 televisions this month, we can substitute t = 12 into the formula:
Earnings = 2,500 + 100t
= 2,500 + 100(12)
= 2,500 + 1,200
= 3,700
Therefore, Ms. Tanaka will earn $3,700 for selling 12 televisions this month.
Robert is preparing a poster-board presentation. He wants to make a decorative pattern with 10 squares to fill part of the poster. The area of the poster board is 720 square inches. To find how much space Robert will have left for his presentation if he uses squares with 7-inch sides, evaluate 720 − 10s2 when s = 7.(1 point)
Responses
580 square inches
580 square inches
9,940 square inches
9,940 square inches
34,790 square inches
34,790 square inches
230 square inches