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horsena [70]
3 years ago
5

Ida needs to hire a singer for her wedding. Singer A is offering his services for an initial $65 in addition to $13.15 per hour.

Singer B is offering her services for an initial $73 in addition to $11.35 per hour. When will the two singers charge the same amount of money? If necessary, round your answer to the nearest tenth.
Mathematics
1 answer:
Naddik [55]3 years ago
5 0

Answer:

4.4 hours

Step-by-step explanation:

Let the number of hours = x

Ida needs to hire a singer for her wedding.

For Singer A

Singer A is offering his services for an initial $65 in addition to $13.15 per hour.

65 + 13.15x

Singer B

Singer B is offering her services for an initial $73 in addition to $11.35 per hour.

73 + 11.35x

We equate both singers together

Singer A = Singer B

65 + 13.15x = 73 + 11.35x

We collect like terms

13.15x - 11.35x = 73 - 65

1.8x = 8

x = 8/1.8

x = 4.4444444444 hours

Approximately = 4.4 hours

The two singers will charge the same amount of money after 4.4 hours

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Step-by-step explanation:

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3[-x + (2 x + 1)] = x - 1<br><br><br> what is x
Nataly_w [17]

The answer you are looking for is x=-2.

Solution/Explanation:

Writing out the equation

3[-x+(2x+1)]=x-1

Simplifying inside of the brackets first

Combining like terms, since -x+2x=x

3(x+1)=x-1

*You can remove the parenthesis, if preferred.

Using the Distributive Property on the left side of the equation

3x+3=x-1

Now, subtracting the "x" variable from both sides

3x+3-x=x-x-1

"x-x" cancels out to 0.

3x+3-x=-1

Combining like terms and simplifying

3x-x+3=-1

2x+3=-1

Subtracting 3 from both sides of the equation

2x+3-3=-1-3

"3-3" cancels out to zero.

2x+0=-1-3

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Simplifying the right side of the equation

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Simplifying the final part of the problem

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So, therefore, the final answer is x=-2.

Hope that this has helped you. Good day to you.

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