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Fed [463]
3 years ago
6

An electrician sent Bonnie an invoice in the amount of 'a' dollars for 6 hours of work that was done on Saturday. The electricia

n charges a weekend fee 'f' in addition to an hourly rate 'r'. Bonnie knows what the weekend fee is. Write a formula Bonnie can use to find 'r', the rate the electrician charges per hour.
Mathematics
1 answer:
Mazyrski [523]3 years ago
4 0

Answer:

(a-f)/6 = r

Step-by-step explanation:

The total Bonnie must pay is the weekend fee plus the hourly rate times the hours worked

Cost = weekend fee * hourly rate* hours

hours = 6

weekend fee =f

hourly rate = r

Cost = a dollars

Substituting in what we know

a = f+ 6r

We want to solve for r

Subtract f from each side

a-f =f-f +6r

a-f = 6r

Divide each side by 6

(a-f)/6 = 6r/6

(a-f)/6 = r

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7 0
3 years ago
The sum of 2 numbers is 50. the second number is 5 times the first. what is the number.
sp2606 [1]

Let the first and smaller number be x. Since the second number is 5 times the first, the second number is 5x. We also know both of these numbers must add to 50; thus, we can create the following equation.

x+5x=50

Combine like terms

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Divide both sides by 6

x = 50/6 = 25/3 \approx 8.333

This is the value of the first number. The number you're looking for isn't specified in the question description, so I'll just provide the value of the second number. The second number has to be 5 times the first.

Thus, we just multiply 5 to x.

5x = 5(25/3) = 125/3 \approx 41.667

That's the value of the second number.

3 0
3 years ago
Read 2 more answers
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oksian1 [2.3K]
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