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miss Akunina [59]
3 years ago
8

At the county fair 4 employees were paid $8.75 an hour to work at a funnel cake stand. They worked for 8 hours at regular pay an

d then for 5 hours at overtime pay for an extra $2.50 an hour. How much money did each employee earn?
Mathematics
2 answers:
Gennadij [26K]3 years ago
7 0

Answer:

$82.50

Step-by-step explanation:

8.75 * 8 = 70

5 * 2.50 = 12.5

70 + 12.5 = 82.5

So, one employee would earn a total of $82.50 which also means that each employee earned $82.50

victus00 [196]3 years ago
3 0

At a county fair four(4) employees were paid for 8 hours = $8.75 per hour

8 hours they were paid $2.50 extra for an hour

Their overtime earning = 8.75 + 2.50 = $11.25

Each employee worked for 8 hours and 5 hours overtime.

Each employee earned = (8.75 × 8) + (11.25 × 5)

= $70 + $56.25

= $126.25

Each employee earned $126.25 only.

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1/4x + 3 = 2x - 5/8

Find least common multiplier of 4x,8 is  8x

Multiply by LCM = 8x

1/4 x * 8 x + 3 * 8 x = 2 x * 8 x - 5/8 * 8 x

Refine:

2 + 24 = 16 x² - 5 x

Subtract 16 x² - 5 x from both sides:

2 + 24 x - ( 16 x² -5 x) = 16 x² - 5 x - (16 x²-5 x)

Refine: - 16 x² - 29 x + 2 = 0

Solving with the quadratic formula :

for a = - 16 , b = 29 and c = 2

x1 = - 29 √ 29² - 4(-16)*2
        -----------------------------
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x1 = - √ 969  - 29
      ---------------------
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x2 = - 29 - √ 29² -4(-16)*2
        -----------------------------
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x2 = √ 969  + 29
      ---------------------
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The final solutions to the quadratic equation are:


x1 = - √ 969 - 29
      -------------------
              32

x2 = √ 969 + 29
      -------------------
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hope this helps!

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