The formula for finding the volume of a square prism is s 2h to the second power , 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 volume of the square prism, we substitute the given values of s = 4 and h = 6 into the formula:
Volume = s²h
= (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 how much Ms. Tanaka will earn for selling 12 televisions, we substitute the value of t = 12 into the expression:
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 − 10s 2 to the second power when s = 7.(1 point)
To find how much space Robert will have left for his presentation, we need to subtract the area of the 10 squares from the total area of the poster.
The area of each square is s², where s is the length of each side.
Given that s = 7, the area of each square is 7² = 49 square inches.
So, the area of 10 squares is 10 * 49 = 490 square inches.
To find the remaining space, we subtract this area from the total area of the poster.
Remaining space = Total area of the poster - Area of the 10 squares
= 720 - 490
= 230 square inches
Therefore, Robert 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)
Responses
To find the cost of the fence for Mr. Rodriguez's garden, we substitute the given values of l = 5 yards and w = 2 yards into the expression:
Cost = 7(l + 2w)
= 7(5 + 2(2))
= 7(5 + 4)
= 7(9)
= 63
Therefore, the cost of the fence for a garden with a length of 5 yards and a width of 2 yards is $63.