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Natalija [7]
3 years ago
8

For the past three months Grace used her cell phone for 42 minutes,62 minutes and 57 minutes. How many minutes would she have to

use her cell phone this month for the average usage over the four months to be 55 minutes
This is A Math Problem
Mathematics
1 answer:
ahrayia [7]3 years ago
6 0

Answer:

The amount of minutes Grace has to use her cell phone this month is 59 minutes

Step-by-step explanation:

Let

x -----> amount of minutes Grace has to use her cell phone this month

we know that

The average usage during the four months is equal to the sum of the minutes used in the four months divided by four (the number of months)

so

55=\frac{42+62+57+x}{4}

Solve for x

Multiply by 4 both sides to remove the fraction

55(4)=(42+62+57+x)

220=(161+x)

x=220-161

x=59\ min

therefore

The amount of minutes Grace has to use her cell phone this month is 59 minutes

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X=13 and z=112
you know that (13x-57) + (6x-10) = 180 since they are supplementary, so you will solve that. it will give you x=13. now that you know x, you can solve for z by plugging in 13 for x on 13(x)-57 since that and angle z are congruent. when you simplify, you will get z=112.
you can check your answer by doing (6x-10) +112=180. this is because they are supplementary. you should get x=13, and that is how you know you are right.
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