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
$62.50
$62.50
$87.50
$87.50
$450.00
To find out how much Ms. Tanaka will earn for selling 12 televisions this month, we can substitute t = 12 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.
The correct answer is:
$3,700
To find the volume of a square prism with side length s = 4 and height h = 6, we can substitute these values into the formula s^2h.
Therefore, the volume is:
4^2 * 6 = 16 * 6 = 96 cubic centimeters.
Therefore, the correct answer is:
96 cubic centimeters.
To find the cost of purchasing 10 packs of paper and 30 notebooks, we can substitute p = 10 and n = 30 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.
The correct answer is:
$87.50
To find out 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 board.
The formula to find the area of a square is s^2, where s is the length of one side of the square.
In this case, each square has sides of 7 inches, so the area of each square is 7^2 = 49 square inches.
Therefore, the total area of the 10 squares is 10 * 49 = 490 square inches.
To find how much space Robert will have left, we subtract the area of the squares from the total area of the poster board:
720 - 490 = 230 square inches.
Therefore, Robert will have 230 square inches left for his presentation.
The correct answer is:
230 square inches.
To find the cost of putting a fence around Mr. Rodriguez's garden with a length of 5 yards and a width of 2 yards, we can substitute l = 5 and w = 2 into the expression 7(l + 2w).
Therefore, the cost is:
7(5 + 2 * 2) = 7(5 + 4) = 7 * 9 = $63
Therefore, it will cost $63 to put a fence around Mr. Rodriguez's garden.
The correct answer is:
$63
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
48 cubic centimeters
48 cubic centimeters
144 cubic centimeters
144 cubic centimeters
576 cubic centimeters
576 cubic centimeters
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
$3,700
$3,700
$31,200
$31,200
$2,600
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
580 square inches
580 square inches
230 square inches
230 square inches
9,940 square inches
9,940 square inches
34,790 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
$39
$39
$16
$16
$98
$98
$63
To evaluate the expression 1.25p + 2.50n for p = 10 and n = 30, we substitute the given values into the expression.
For p = 10, we have 1.25 * 10. Substituting the value of p, we get 12.50.
For n = 30, we have 2.50 * 30. Substituting the value of n, we get 75.00.
Now, we substitute these values into the expression: 1.25 * 10 + 2.50 * 30.
Multiplying the numbers, we have 12.50 + 75.00.
Adding these numbers, we get 87.50.
Therefore, it will cost Mr. Imani $87.50 to purchase 10 packs of paper and 30 notebooks.