Hector spent $41.75 for 2 DVDs that cost the same amount. The sales tax on his purchase was $3.15. Hector also used a coupon for $1.00 off his purchase. How much did each DVD cost?

Answers

Answer 1

Given:

Amount spent on 2 DVDs = $41.75

Sales tax = $3.15

Coupon = $1.00 off

To find:

The cost of each DVD.

Solution:

Let x be the cost of each DVD.

Then, cost of two DVDs = 2x

Amount spent of 2 DVDs = Cost of 2 DVDs + Sales tax - Coupon discount

[tex]41.75=2x+3.15-1.00[/tex]

[tex]41.75=2x+2.15[/tex]

[tex]41.75-2.15=2x[/tex]

[tex]39.6=2x[/tex]

Divide both sides by 2.

[tex]\dfrac{39.6}{2}=x[/tex]

[tex]19.8=x[/tex]

Therefore, the cost of each DVD is $19.8.


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Marcus wants to move triangle PQR in such a way that vertex P moved from the point (-2,5)
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D. (x, y) —> (x+5, y - 8)

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I believe that it is 1/3 because there are 3 balls with each different colors.  Which means you have 1/3 chance of a yellow ball being picked.

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Step-by-step explanation:

Substitute the value for x.

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Step-by-step explanation:

4x-7y= -8

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4

3x+ 2y =-6

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Answers

Answer:

After 7 weeks, Mia's office will have recycled 21 pounds.

Step-by-step explanation:

With the information provided, you can use a rule of three to find the pounds of paper that Mia's office will have recycled after 7 weeks given that they recycled 9 pounds over 3 weeks.

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7 weeks  →         x

x=(7*9)/3

x=21

According this, the answer is that after 7 weeks, Mia's office will have recycled 21 pounds.

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Answers

Answer:

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