Question

question 44 of 50
jessica received a $80 gift card for a coffee store. she used it in buying some coffee that cost $7.89 per pound. after buying the coffee, she had $56.33 left on her card. how many pounds of coffee did she buy?
pounds

question 45 of 50
solve for w.
10.24 = 4w
w =

question 46 of 50
carmen got a prepaid debit card with $20 on it. for her first purchase with the card, she bought some bulk ribbon at a craft store. the price of the ribbon was $0.11 per yard. if after that purchase there was $14.83 left on the card, how many yards of ribbon did carmen buy?
yards

question 47 of 50
solve for v.
\\(\frac{v}{6} = 9.6\\)
v =

Explanation:

Question 44

Step1: Find the amount spent on coffee

The initial amount on the gift card is $80, and the remaining amount is $56.33. So the amount spent is $80 - $56.33 = $23.67.

Step2: Calculate the pounds of coffee bought

The cost per pound of coffee is $7.89. Let the number of pounds be \( x \). Then, using the formula \( \text{Cost} = \text{Price per pound} \times \text{Number of pounds} \), we have \( 7.89x = 23.67 \). Solving for \( x \), we divide both sides by 7.89: \( x = \frac{23.67}{7.89} = 3 \).

Step1: Solve for \( w \) in the equation \( 10.24 = 4w \)

To isolate \( w \), we divide both sides of the equation by 4.

Step2: Perform the division

\( w = \frac{10.24}{4} = 2.56 \)

Step1: Find the amount spent on ribbon

The initial amount on the debit card is $20, and the remaining amount is $14.83. So the amount spent is $20 - $14.83 = $5.17.

Step2: Calculate the yards of ribbon bought

The cost per yard of ribbon is $0.11. Let the number of yards be \( y \). Then, using the formula \( \text{Cost} = \text{Price per yard} \times \text{Number of yards} \), we have \( 0.11y = 5.17 \). Solving for \( y \), we divide both sides by 0.11: \( y = \frac{5.17}{0.11} = 47 \).

Answer:

3 pounds

Question 45