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
576 cubic centimeters
576 cubic centimeters
48 cubic centimeters
48 cubic centimeters
96 cubic centimeters
96 cubic centimeters
144 cubic centimeters
The correct answer is 96 cubic centimeters.
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
$2,600
$2,600
$2,612
$2,612
$31,200
$31,200
$3,700
The correct answer is $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 − 10s2 when s = 7.(1 point)
Responses
34,790 square inches
34,790 square inches
230 square inches
230 square inches
580 square inches
580 square inches
9,940 square inches
To evaluate 720 − 10s^2 when s = 7, we substitute the value of s into the expression.
720 - 10(7^2)
Calculating the term within parentheses first:
720 - 10(49)
Then, multiplication:
720 - 490
Finally, subtraction:
230
Thus, the correct answer is 230 square inches.
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
$63
$63
$98
$98
$16
$16
$39
To evaluate 7(l + 2w) when l = 5 and w = 2, we substitute the values into the expression:
7(5 + 2(2))
Simplify the inner parentheses first:
7(5 + 4)
Then, addition inside the parentheses:
7(9)
Finally, multiplication:
63
Thus, the correct answer is $63.