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
To evaluate the expression for p = 10 and n = 30, we substitute these values into the expression 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 at Dollar Discount.
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
To find the volume of the square prism, we substitute the values of s = 4 and h = 6 into the formula s^2h:
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.
To evaluate the expression for t = 12, we substitute this value into the expression 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.
To evaluate the expression for s = 7, we substitute this value into the expression 720 - 10s^2:
720 - 10(7^2) = 720 - 10(49) = 720 - 490 = 230
Therefore, Robert will have 230 square inches of space left for his presentation if he uses squares with 7-inch sides.
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 for l = 5 and w = 2, we substitute these values into the expression 7(l + 2w):
7(5 + 2(2)) = 7(5 + 4) = 7(9) = $63
Therefore, the cost for a garden with a length of 5 yards and a width of 2 yards would be $63.
To find out how much it will cost Mr. Imani to purchase 10 packs of paper and 30 notebooks, we can substitute the values of p = 10 and n = 30 into the given expression 1.25p + 2.50n.
First, let's substitute p = 10 and n = 30 into the expression:
1.25p + 2.50n = 1.25(10) + 2.50(30)
Simplifying:
= 12.50 + 75
= $87.50
Therefore, it will cost Mr. Imani $87.50 to purchase 10 packs of paper and 30 notebooks.