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3 years ago

Given the inequality below: x + 2y ≥ 10

1 answer:

3 0

X+2y≥10
(x+2y)+(-10)≥10+(-10)
x+2y-10≥10-10
(x+2y-10)+(-x+10)≥-x+10
x+2y-10-x+10≥-x+10
2y≥-x+10
2y over 2 ≥ -x +10 over 2
y≥-1 over 2x + 10 over 2
y≥-1/2x+5

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Serena uses chalk to draw a straight line on the sidewalk. The line is 12 ft long. She wants to divide the line into sections th

ElenaW [278]

<h3><u>Question:</u></h3>

Serena uses chalk to draw a straight line on the sidewalk. The line is 1/2 ft long. She wants to divide the line into sections that are each 1/8 ft long. How many sections will the line be divided into?

<h3><u>Answer:</u></h3>

The number of sections that the line is divided is 4

<h3><u>Solution:</u></h3>

Given that, Serena uses chalk to draw a straight line on the sidewalk

The line is 1/2 ft long. She wants to divide the line into sections that are each 1/8 ft long

From given,

$Total\ length\ of\ line = \frac{1}{2} \text{ feet }\\\\Length\ of\ each\ section = \frac{1}{8} \text{ feet }$

To find: Number of sections can be made

The number of sections that can be made is found by dividing the total length of line by length of each section

$\text{Number of sections } = \frac{\text{Total length of line}}{\text{length of each section}}$

Substituting the values, we get,

$\text{Number of sections } = \frac{\frac{1}{2}}{\frac{1}{8}}\\\\\text{Number of sections } = \frac{1}{2} \times \frac{8}{1}\\\\\text{Number of sections } = 4$

Thus number of sections that the line is divided is 4

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2 years ago

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alexgriva [62]

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3 years ago

HUDSON HAS TO FILL A POT WITH 1 QUART OF WATER. ALL HE HAS IS 1/4 CUP MEASURING CUP. HOW MANY TIMES DOES HE HAVE TO FILL THE 1/4

Marta_Voda [28]

There are 4 cups in a quart.

So if Hudson has only a 1/4 measuring cup, this can be represented by the equation:

4/1/4, solving it we get: 4* 4 (dividing turns a fraction into its reciprocal)

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