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 find the cost of 10 packs of paper, we substitute p = 10 into the expression 1.25p: 1.25 * 10 = <<10*1.25=12.50>>12.50
To find the cost of 30 notebooks, we substitute n = 30 into the expression 2.50n: 2.50 * 30 = <<2.50*30=75.00>>75.00
Adding the costs for the paper and notebooks, we find Mr. Imani needs to pay 12.50 + 75.00 = $<<12.50+75=87.50>>87.50. Answer: \boxed{87.50}.
The formula for finding the volume of a square prism is s ^2h, 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.
To find the volume of the square prism, we substitute s = 4 and h = 6 into the formula s^2h: 4^2 * 6 = 16 * 6 = <<4^2*6=96>>96. Answer: \boxed{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 find how much Ms. Tanaka will earn for selling 12 televisions, we substitute t = 12 into the expression 2,500 + 100t: 2,500 + 100 * 12 = 2,500 + 1,200 = <<2500+100*12=3700>>3,700. Answer: \boxed{3,700}.
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 − 10s^2 when s = 7.
To find how much space Robert will have left for his presentation, we substitute s = 7 into the expression 720 - 10s^2: 720 - 10 * 7^2 = 720 - 10 * 49 = 720 - 490 = <<720-10*7^2=230>>230.
Answer: \boxed{230}.
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.
To find the cost of the fence, we substitute l = 5 and w = 2 into the expression 7(l + 2w): 7(5 + 2 * 2) = 7(5 + 4) = 7(9) = <<7*(5+2*2)=63>>63.
Answer: \boxed{63}.
To find out how much it will cost Mr. Imani to purchase 10 packs of paper and 30 notebooks, we need to substitute the values of p and n into the given expression and evaluate it.
The expression given is 1.25p + 2.50n.
Step 1: Substitute the values of p and n into the expression.
1.25(10) + 2.50(30)
Step 2: Perform the multiplication.
12.50 + 75.00
Step 3: Add the results.
12.50 + 75.00 = 87.50
Therefore, it will cost Mr. Imani $87.50 to purchase 10 packs of paper and 30 notebooks.