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grigory [225]
2 years ago
15

A store is having a sale in which all bookbags are discounted by `30\%`. Mai has a coupon for `\$5` off the regular price of one

bookbag. The store first applies this coupon, and then takes `30\%` off the reduced price. Mai pays `\$23.10` for the bookbag.
You said the equation represents this scenario, and the solution to your equation was `\$35.56`.



Explain what the solution to the equation means within the context of the problem.
Mathematics
1 answer:
shutvik [7]2 years ago
7 0

The regular price of the book bag was $38.

<h3>Equation</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the regular price of the bag. After applying the coupon:

Price = x - 5

After the discount:

23.10 = (x - 5) -  30% of (x - 5)

23.10 = (x - 5) - (0.3x  - 1.5)

0.7x - 3.5 = 23.10

x = 38

The regular price of the book bag was $38.

Find out more on Equation at: brainly.com/question/2972832

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Ace Cars says they will pay Jim a 10% commission on the sale price of each car. Budget Cars says they will pay him $500 per week
Arisa [49]

Answer:

  $20,000

Step-by-step explanation:

You can quickly figure this by recognizing that the difference in commission must be the same as the base salary:

  2.5%(car price) = $500

  car price = $500/0.025 = $20,000

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If you prefer, you can get there with equations.

At Job 1, the pay is ...

  y = 10%×(car price)

At Job 2, the pay is ...

  y = 7.5%×(car price)

Setting the equal (the two opportunities pay the same), we have ...

  0.10(car price) = 500 +0.075(car price)

  0.025(car price) = 500 . . . . . . . . subtract 0.075(car price)

  car price = 500/0.025 = 20,000 . . . . divide by 0.025

Jim would have to sell a $20,000 car each week for the jobs to pay the same.

8 0
3 years ago
Solve the following equation: x÷3-5=-7
Elodia [21]

Answer:

- 6

Step-by-step explanation:

Step 1:

x ÷ 3 - 5 = - 7   Equation

Step 2:

x ÷ 3 = - 2   Add 5 on both sides

Answer:

x = - 6   Multiply 3 on both sides

Hope This Helps :)

3 0
3 years ago
7(2p+3)-8=6p+29<br> Please some help me solve this equation with steps.
stepan [7]
So,

First, I'd like to note that it is required to show work.  You shouldn't need to ask for steps.

7(2p + 3) - 8 = 6p + 29

Distribute
14p + 21 - 8 = 6p + 29

Collect Like Terms
14p + 13 = 6p + 29

Subtract 6p from both sides
8p + 13 = 29

Subtract 13 from both sides
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Divide both sides by 8
p = 2

Check
7(2(2) + 3) - 8 = 6(2) + 29

Simplify inside the parentheses first.
7(4 + 3) - 8 = 6(2) +  29
7(7) - 8 = 6(2) + 29

Now, distribute.
49 - 8 = 12 + 29

Collect Like Terms
41 = 41 This checks.

S = { 2 }
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