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jarptica [38.1K]
3 years ago
8

Please show work for both problems

Mathematics
1 answer:
kirill [66]3 years ago
6 0

Answer:

3)  x = 15; 95 and 85      4)  x = 12; 98 for both angles

Step-by-step explanation:

2x + 65 + 3x + 40 = 180       Set the equations equal to 180

5x + 105 = 180                      Combine like terms

     - 105  - 105                      Subtract 105 from both sides

5x = 75                                  Divide both sides by 5

x = 15

Plug 15 into both equations

2(15) + 65 = 95

3(15) + 40 = 85

4)  5x + 38 = 9x - 10             Set the equations equal to each other

  - 5x          - 5x                    Subtract 5x from both sides

 38 = 4x - 10

+ 10       + 10                         Add 10 to both sides

48 = 4x                                  Divide both sides by 4

12 = x

Plug 12 into both equations

5(12) + 38 = 98

9(12) - 10 = 98

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Which ordered pairs to the equation 5x+12y=15 (5,-5/6) (-3,5/2) ( -6,15/4) (-5,10/3)
Ksju [112]

Answer:

All of them

Step-by-step explanation:

All we have to do is replace the x and y with their following coordinates

A.(5, -5/6) - - > 5(5) + 12(-5/6) = 25 + (-10) = 15

15 = 15

Yes

B. ( -3, 5/2) - - > 5(-3) + 12(5/2) = -15 + 30 = 15

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C. (-6, 15/4) - - > 5(-6) + 12(15/4) = -30 + 45 = 15

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D. (-5, 10/3) - - > 5(-5) + 12(10/3) = -25 + 40 = 15

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7 0
3 years ago
Zoe goes out to lunch. The bill
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Answer:

$60

Step-by-step explanation:

To find how much Zoe paid before the sales tax and tip, we first need to consider the amount she paid in sales tax and tips.

Sales tax  + Tips = $18.60

Let x = original price

Sales tax = 11% * original price

Sales tax = 0.11 * x

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Tips = 20% * original price

Tips = 0.20 * x

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Now that we have a value for both the sales tax and tips, we can then proceed to find the original price by:

0.11x + 0.2x = 18.60

0.31x = 18.60

Now we need to divide both sides by 0.31 to find x.

x = 60

Zoe's dinner before the sales tax and tips was $60.

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