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 $39 $39 $16 $16 $98
To find the cost for a garden with a length of 5 yards and a width of 2 yards, we substitute l = 5 and w = 2 into the equation 7(l + 2w):
7(5 + 2(2))
= 7(5 + 4)
= 7(9)
= 63
So the cost for the garden is $63.
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 $43.75 $43.75 $450.00 $450.00 $87.50 $87.50 $62.50
To find out how much it will cost Mr. Imani to purchase 10 packs of paper and 30 notebooks, we substitute p = 10 and n = 30 into the equation 1.25p + 2.50n:
1.25(10) + 2.50(30)
= 12.50 + 75
= 87.50
So 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) Responses 144 cubic centimeters 144 cubic centimeters 48 cubic centimeters 48 cubic centimeters 576 cubic centimeters 576 cubic centimeters 96 cubic centimeters 96 cubic centimeters
To find the volume of a square prism with s = 4 and h = 6, we substitute these values into the formula s^2h:
4^2 * 6
= 16 * 6
= 96
So the volume of the square prism 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 $2,612 $2,612 $31,200 $31,200 $3,700 $3,700 $2,600
To find out how much Ms. Tanaka will earn for selling 12 televisions this month, we substitute t = 12 into the equation 2,500 + 100t:
2,500 + 100(12)
= 2,500 + 1,200
= 3,700
So 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) Responses 34,790 square inches 34,790 square inches 9,940 square inches 9,940 square inches 230 square inches
To find out how much space Robert will have left for his presentation, we substitute s = 7 into the equation 720 - 10s^2:
720 - 10(7^2)
= 720 - 10(49)
= 720 - 490
= 230
So Robert will have 230 square inches left for his presentation.
To evaluate the expression 7(l + 2w) where l is the length and w is the width of the garden, we substitute the given values of l and w into the expression and simplify.
Given:
Length (l) = 5 yards
Width (w) = 2 yards
Substituting the values into the expression:
7(5 + 2(2))
Simplifying the expression inside the parentheses:
7(5 + 4)
Adding 5 and 4:
7(9)
Multiplying 7 by 9:
63
Therefore, the cost for a garden with a length of 5 yards and a width of 2 yards is $63.