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

Answer 1

To find out how much it will cost Mr. Imani to purchase 10 packs of paper and 30 notebooks, we can substitute \( p = 10 \) and \( n = 30 \) into the equation \( 1.25p + 2.50n \).

Calculating the cost:

\[ 1.25p + 2.50n = 1.25(10) + 2.50(30) \]

Calculating each term:

\[ 1.25(10) = 12.50 \]

\[ 2.50(30) = 75.00 \]

Now, add the two amounts together:

\[ 12.50 + 75.00 = 87.50 \]

Therefore, the total cost for 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

48 cubic centimeters
48 cubic centimeters

576 cubic centimeters
576 cubic centimeters

96 cubic centimeters
96 cubic centimeters

144 cubic centimeters

Answer 3

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

Calculating the volume:

\[ V = s^2h = (4^2)(6) \]

First, calculate \( 4^2 \):

\[ 4^2 = 16 \]

Now, multiply by the height:

\[ V = 16 \times 6 = 96 \]

Therefore, 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

$3,700
$3,700

$31,200
$31,200

$2,600

Answer 5

To find out how much Ms. Tanaka will earn for selling 12 televisions, we can substitute \( t = 12 \) into the formula \( 2,500 + 100t \).

Calculating the earnings:

\[ \text{Earnings} = 2,500 + 100t = 2,500 + 100(12) \]

Calculate the amount for the televisions sold:

\[ 100(12) = 1,200 \]

Now, add this to her base salary:

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

Therefore, 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 how much space Robert will have left for his presentation after using squares with 7-inch sides, we can evaluate the expression \( 720 - 10s^2 \) when \( s = 7 \).

1. First, calculate \( s^2 \):

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

2. Now multiply by 10:

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

3. Next, subtract this from the total area of the poster board:

\[ 720 - 10s^2 = 720 - 490 = 230 \]

Therefore, Robert will have 230 square inches of space left for his presentation.

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

$98
$98

$63
$63

$39

Answer 9

To find the cost for the fencing materials, we will evaluate the expression \( 7(l + 2w) \) with \( l = 5 \) yards (length) and \( w = 2 \) yards (width).

1. Substitute the values into the expression:

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

2. Calculate \( 2w \):

\[ 2(2) = 4 \]

3. Now add \( l \) and \( 2w \):

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

4. Now multiply by 7 to find the total cost:

\[ 7(l + 2w) = 7 \times 9 = 63 \]

Therefore, the cost for the garden fencing materials is $63.

Answer 10

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Answer 11

Thank you! I'm glad the answers were helpful and correct. If anyone has more questions or needs further assistance, feel free to ask! 😊