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)

Question

Responses

$43.75
$43.75

$87.50
$87.50

$62.50
$62.50

$450.00

Answer 1

To find the total cost for Mr. Imani to purchase 10 packs of paper and 30 notebooks, we can use the expression \(1.25p + 2.50n\).

Given:

• \(p = 10\) (packs of paper)
• \(n = 30\) (notebooks)

Now, substitute these values into the expression:

\[ 1.25(10) + 2.50(30) \]

Calculating each term:

1. For the packs of paper: \[ 1.25 \times 10 = 12.50 \]

2. For the notebooks: \[ 2.50 \times 30 = 75.00 \]

Now, add the two results together:

\[ 12.50 + 75.00 = 87.50 \]

Therefore, the total cost for Mr. Imani to purchase 10 packs of paper and 30 notebooks is $87.50.

Answer 2

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

96 cubic centimeters
96 cubic centimeters

576 cubic centimeters
576 cubic centimeters

48 cubic centimeters
48 cubic centimeters

144 cubic centimeters

Answer 3

To find the volume of a square prism using the formula \( V = s^2 h \), we need the values \( s = 4 \) (length of each side of the square base) and \( h = 6 \) (height of the prism).

Substituting the values:

\[ V = (4)^2 \times 6 \]

Calculating \( (4)^2 \):

\[ (4)^2 = 16 \]

Now multiply by the height \( h \):

\[ V = 16 \times 6 \]

Calculating \( 16 \times 6 \):

\[ V = 96 \]

Thus, the volume of the square prism is 96 cubic centimeters.

Answer 4

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

$2,600
$2,600

$31,200
$31,200

$3,700

Answer 5

To find out how much Ms. Tanaka will earn for selling 12 televisions, we can use the formula:

\[ \text{Earnings} = 2,500 + 100t \]

where \( t \) is the number of televisions sold. Given that \( t = 12 \), we can substitute this value into the equation:

\[ \text{Earnings} = 2,500 + 100 \times 12 \]

Calculating \( 100 \times 12 \):

\[ 100 \times 12 = 1,200 \]

Now, add this to her base salary:

\[ \text{Earnings} = 2,500 + 1,200 = 3,700 \]

Thus, Ms. Tanaka will earn $3,700 for selling 12 televisions this month.

Answer 6

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

9,940 square inches
9,940 square inches

580 square inches

Answer 7

To find out how much space Robert will have left for his presentation, we can use the expression \( 720 - 10s^2 \) with \( s = 7 \).

First, calculate \( s^2 \):

\[ s^2 = 7^2 = 49 \]

Now, multiply this by 10:

\[ 10s^2 = 10 \times 49 = 490 \]

Next, substitute this value back into the expression:

\[ 720 - 490 = 230 \]

Therefore, Robert will have 230 square inches left for his presentation after using the squares.

Answer 8

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

$16
$16

$39
$39

$63
$63

$98

Answer 9

To find the cost of the fence around Mr. Rodriguez's vegetable garden, we can use the formula:

\[ \text{Cost} = 7(l + 2w) \]

where \( l \) is the length and \( w \) is the width of the garden. Given that \( l = 5 \) yards and \( w = 2 \) yards, we can substitute these values into the formula:

First, calculate \( l + 2w \):

\[ l + 2w = 5 + 2(2) \]

Now calculate \( 2(2) \):

\[ 2(2) = 4 \]

So now we have:

\[ l + 2w = 5 + 4 = 9 \]

Now substitute this back into the cost formula:

\[ \text{Cost} = 7 \times 9 = 63 \]

Therefore, the cost for the materials to fence the garden is $63.