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myrzilka [38]
3 years ago
8

2

Mathematics
1 answer:
Tju [1.3M]3 years ago
8 0

Answer:

<em>x + y ≤ 40</em>

<em>10x + 12 y ≥ 400</em>

<em>x ≥ 0</em>

<em>y ≥ 0</em>

Step-by-step explanation:

<u>System of Inequalities</u>

In order to model the situation stated in the problem, we'll call the following variables:

x = number of hours Sarah spends in the office

y = number of hours Sarah spends babysitting

She works for a maximum of 40 hours per week. This condition leads us to the inequality:

x + y ≤ 40

Her office job pays $12 per hour and her babysitting job pays $10 per hour.

She needs to make at least $400 per week in order to cover her expenses, thus:

10x + 12 y ≥ 400

Two obvious conditions could be added to the set of inequalities:

x ≥ 0

y ≥ 0

The system of inequalities is:

x + y ≤ 40

10x + 12 y ≥ 400

x ≥ 0

y ≥ 0

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SashulF [63]

Answer:

the number of single room is 27 and the number of double room  is 53

Step-by-step explanation:

Let x is the number of single room

Let y is the number of double room

We know that:

x + y = 80 <=> x = 80 -y (1)

80x +90y= 6930 (2)

Substitute (1) in (2) we have:

80 (80 - y) + 90y = 6930

<=> 6400 - 80y +90y = 6930

<=> y = 53

> x = 80 - 53 = 27

the number of single room is 27 and the number of double room  is 53

4 0
2 years ago
What is 8.07 × 102 in standard form
SOVA2 [1]

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What r the equations???
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Divide each side by 0.243.
X=483
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4 0
3 years ago
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