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MAXImum [283]
3 years ago
14

Sarah would like to hire a clown for her daughter‘s birthday party. Clown A is offering his services for an initial fee of $100

in addition to $11 per hour. Clown B is offering her services for initial $150 fee in addition to $8 per hour. when will the two clowns charge the same amount of money? Use a table and graphing calculator to estimate the solution.
Mathematics
1 answer:
photoshop1234 [79]3 years ago
4 0
It will be equal in 9 hours
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alexandr402 [8]

Answer:

Part 1) The numbers are 22,24 and 26

Part 2) The value of x has no solution

Part 3) The value of x has no solution

Part 4) The value of x is x=-3.5

Step-by-step explanation:

Part 1)

Let

x ----> the first even number

x+2 ---> the second consecutive even number

x+4 ---> the third consecutive even number

we know that

2(x)=(x+2)+20

Solve for x

2x=x+22

2x-x=22

x=22

therefore

The numbers are 22,24 and 26

Part 2) we have

10x-5-2(x+7)=2(4-x)+10x

Distribute in the left and the right side to remove the parenthesis

10x-5-2x-14=8-2x+10x

Combine like terms

8x-19=8x+8

-19=8 -----> is not true

therefore

The value of x has no solution

Part 3) we have

-4x+5-1(x-4)=5x+5+4(1-3x)

Distribute in the left and the right side to remove the parenthesis

-4x+5-x+4=5x+5+4-12x

Combine like terms

-5x+9=-7x+9

-5x=-7x -----> is not true

therefore

The value of x has no solution

Part 3) we have

8-(9x+6)=5x+5+4(1-3x)

Distribute in the right side to remove the parenthesis

8-9x-6=5x+5+4-12x

Combine like terms

2-9x=-7x+9

9x-7x=2-9

2x=-7

x=-3.5

4 0
3 years ago
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