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Lapatulllka [165]
4 years ago
8

Layla is working two summer jobs, babysitting and tutoring. She can work at most 8 hours altogether between both jobs in a given

week. Write an inequality that would represent the possible values for the number of hours babysitting,
b
b, and the number of hours tutoring,
t
t, that Layla can work in a given week.
Mathematics
1 answer:
ExtremeBDS [4]4 years ago
7 0

Answer:

The inequality equation is b+t\leq 8,

Step-by-step explanation:

Let the number of hours she work in Babysitting be b.

Also Number of hours she work in tutoring be t.

She can work at most 8 hours altogether between both jobs in a given week.

We need to find the Inequality expression that would represent the possible values for the number of hours babysitting, b  and the number of hours tutoring, t.

It can be framed as;

number of hours she work in Babysitting plus Number of hours she work in tutoring should be less than or equal to 8.

Expressing in mathematical form we get;

b+t\leq 8

Hence the Inequality is given as b+t\leq 8.

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<h3>Answer: Choice A) 24.0</h3>

===============================

Explanation:

Let's say we had a triangle with side lengths a,b,c.

If we know that a = 12.25 and b = 12.25, then the third side c has its length restricted in such a way that

b-a < c < b+a

This is a variation of the triangle inequality theorem.

-------------

So,

b - a < c < b + a

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0 < c < 24.5

which means the third side c is between 0 inches and 24.5 inches.

The value of c cannot be 0, and it cannot be 24.5 either.

Among the answer choices given, we see that only 24.0 is the only valid option here. The other two choices are too large.

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Side Note: If your teacher gave you two angles (instead of two sides) to be 12.25 degrees, and wanted the third missing angle of the triangle, then you would be correct in having 12.25+12.25+x = 180 as your first step.

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