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frez [133]
3 years ago
15

The health club is raising money through a babysitting fundraiser. On Thursday, they charged $3 per hour plus an initial fee $40

. On Friday, they charged $4 per hour plus an initial fee of $30. How many hours do they need to babysit to have the same money each day?
Mathematics
1 answer:
xeze [42]3 years ago
5 0

They need to babysit for 10 hours to have same money each day.

Step-by-step explanation:

On Thursday;

Charges = $3 per hour

Initial fee = $40

let x be the number of hours.

T(x) = 3x+40

On Friday;

Charges = $4 per hour

Initial fee = $30

F(x)= 4x+30

The cost will be same when;

T(x) = F(x)

3x+40=4x+30\\40-30=4x-3x\\10=x\\x=10

They need to babysit for 10 hours to have same money each day.

Keywords: functions, addition

Learn more about functions at:

  • brainly.com/question/3071107
  • brainly.com/question/3126500

#LearnwithBrainly

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Step-by-step explanation:

ya=yz

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After a hike, a group of s students equally share 5 boxes of granola bars. Each box has 8 granola bars. Which algebraic expressi
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Answer:

40/s

Step-by-step explanation:

Number of granola boxes = 5

Number of granola per box = 8

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3 years ago
What is the area of the composite figure?
lana [24]

Hello! :)

\large\boxed{A = 32.5cm^{2}}

We can use the following area to solve for the area of the trapezoid pictured:

A = \frac{1}{2}(b_{1} + b_{2})h

Where:

h = height

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b2 = top base

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A = \frac{1}{2}(9 + 4)(5)

Simplify:

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8 0
2 years ago
Hey, can someone solve this for me? <br><br> 5(x+1)= 4(x-1)+x
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3 0
3 years ago
Madelyn is working two summer jobs, making $20 per hour lifeguarding and making $12 per hour clearing tables. In a given week, s
Kamila [148]

Answer:

The possible values of the number of hours clearing tables are 2 , 3 , 4 , 5 hours

Step-by-step explanation:

* <em>Lets explain how to solve the problem</em>

- Madelyn is making $20 per hour life guarding

- She is making $12 per hour clearing tables

- She can work no more than 13 total hours

∴ The greatest time she can work is 13 hours (≤)

- She must earn no less than $180

∴ The least money she wants to earn is $180 (≥)

- If Madelyn worked 8 hours life guarding and assume that she

 worked x hours clearing tables

∵ She can work no more than 13 hours

∴ 8 + x ≤ 13

- Subtract 8 from both sides

∴ x ≤ 5 ⇒ (1)

∵ She must earn no less than $180

∴ 8 × 20 + x × 12 ≥ 180

∴ 160 + 12x ≥ 180

- Subtract 60 from both sides

∴ 12x ≥ 20 ⇒ (2)

- From equation (1) ⇒ x = 1 , 2 , 3 , 4 , 5

- Substitute x in equation (2) by these values to find the right values

 of x

# If x = 1

∴ 12(1) ≥ 20

- But 12 is less than 20

∴ x can not be 1

# x = 2

∴ 12(2) ≥ 20

∴ 24 ≥ 20

- 24 is greater than 20 then x can be 2

∵ 3 , 4 , 5 greater than 2

∴ All of them give answers greater than 20

∴ x can be 3 , 4, 5

∵ x represents the number of hours for clearing tables

∴ The possible values of the number of hours clearing tables are

   2 , 3 , 4 , 5 hours

5 0
3 years ago
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