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
$87.50
$87.50
$43.75
$43.75
$450.00
$450.00
$62.50
$62.50
To evaluate the expression 1.25p + 2.50n for p = 10 and n = 30, we substitute the values into the expression:
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 evaluate the expression s^2h for s = 4 and h = 6, we substitute the values into the expression:
(4^2)(6) = 16 * 6 = 96
Therefore, the volume of the square prism is 96.
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)
To evaluate the expression 2,500 + 100t for t = 12, we substitute the value into the expression:
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)
To evaluate the expression 720 - 10s^2 for s = 7, we substitute the value into the expression:
720 - 10(7^2) = 720 - 10(49) = 720 - 490 = 230
Therefore, if Robert uses squares with 7-inch sides to fill part of the poster, he will have 230 square inches of space left for his presentation.
Mr. Rodriguez has a vegetable garden that borders his house. He wants to put a fence around it. It costs $7 per yard for the materials. Evaluate 7(l + 2w), where l is the length and w is the width of his garden, to find the cost for a garden that has a length of 5 yards and a width of 2 yards.(1 point)
To evaluate the expression 7(l + 2w) for l = 5 and w = 2, we substitute the values into the expression:
7(5 + 2(2)) = 7(5 + 4) = 7(9) = $63
Therefore, the cost for a garden that has a length of 5 yards and a width of 2 yards would be $63.
Jaden has a part-time job working for a landscaping company. He earns $25 for each lawn-mowing job, l, and $20 for each pulling-weeds job, w. This can be modeled by 25l+20w. Evaluate for l=4 and w=6 to find how much money Jaden will earn for 4 lawn-mowing jobs and 6 pulling-weeds jobs. (1 point)
To evaluate the expression 25l + 20w for l = 4 and w = 6, we substitute the values into the expression:
25(4) + 20(6) = 100 + 120 = $220
Therefore, Jaden will earn $220 for 4 lawn-mowing jobs and 6 pulling-weeds jobs.
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 evaluate the expression 6s^2 for s = 10, we substitute the value into the expression:
6(10^2) = 6(100) = 600
Therefore, the surface area of a cube with a side length of 10 cm is 600 square centimeters.
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
34,790 square inches
34,790 square inches
9,940 square inches
9,940 square inches
580 square inches
580 square inches
230 square inches
230 square inches
To evaluate the expression 720 - 10s^2 for s = 7, we substitute the value into the expression:
720 - 10(7^2) = 720 - 10(49) = 720 - 490 = 230
Therefore, if Robert uses squares with 7-inch sides to fill part of the poster, he will have 230 square inches of space left for his presentation.