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True [87]
3 years ago
12

1. Grace was given the equation 2x + 20 = 15. She decides to add 10 to both sides of the equation. a.) Is that an acceptable mov

e? b.) What would her new equation be?​
Mathematics
1 answer:
vlada-n [284]3 years ago
6 0

9514 1404 393

Answer:

  • yes
  • 2x +30 = 25

Step-by-step explanation:

Adding the same number to both sides of the equation is an acceptable move. The addition property of equality tells Grace that the value of the variable will remain unchanged by such a move.

Her new equation would be ...

  2x +20 +10 = 15 +10

  2x +30 = 25 . . . . the result of Grace's move

_____

<em>Additional comment</em>

There may be very good reasons why Grace would want to do that. If solving the equation is Grace's intent, that move would be counterproductive. For the purpose of solving the equation, it would be more productive to either subtract 20 from both sides, or divide both sides by 2. These steps would give, respectively, ...

  2x = -5

  x +10 = 7.5

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1. Susan decides to take a job as a transcriptionist so that she can work part-time from
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Answer:

a)  About 46.3 hours

b) About $1036.80

Step-by-step explanation:

a)

Break even means to make enough to cover her costs.

Given her cost is 1000, we need to find how many hours she will need to cover this up.

In 1 minute, she can type 90 words, that would pay her:

0.004 per word for 90 words = 0.004 * 90 = $0.36 per minute

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1000/0.36 = 2777.78 minutes

Converting that to hours, we divide by 60,

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b)

4 hours per day for 3 days = 4 * 3 = 12 hours (per week)

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In 48 hours, she can type:

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