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hjlf
3 years ago
12

I. The cost of hiring a mover is based on the distance traveled and the total weight of the objects moved. II. The amount of tim

e needed to paint a house decreases as the number of painters increases. III. The income of a worker who gets paid an hourly wage depends on the number of hours worked. What type of variation describes each relationship?
Mathematics
1 answer:
oee [108]3 years ago
4 0

Step-by-step explanation:

let us attend to each cases one after the other. each relationship is in bold in parenthesis

1. The cost of hiring a mover is based on the distance traveled and the total weight of the objects moved. (positive or direct proportional relationship)

2. The amount of time needed to paint a house decreases as the number of painters increases.(Negative or inverse relationships)

3. The income of a worker who gets paid an hourly wage depends on the number of hours worked positive or direct proportional relationship)

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A color called “shocking pink” is made by mixing red paint with white paint. The ratio of red to white is 2 to 7. How much red p
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What shape is in the interior of these four<br> lines? Classify it.
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parallelogram

Step-by-step explanation:

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Direction: Solve the given problems.
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<h2>○=> <u>Solution (6)</u> :</h2>

Ratio of two numbers = 2:3

The larger number = 6

Let the smaller number be x.

Which means :

=\tt 2 : 3 \:  =  \:  x  : 6

= \tt \frac{2}{3}  =  \frac{x}{6}

=\tt 2 \times 6 = 3 \times x

=\tt 12 = 3x

=\tt x =  \frac{12}{3}

\hookrightarrow\color{plum}\tt \: x = 4

▪︎<u>Therefore, the smaller number = 4</u>

<h2>○=> <u>Solution (7)</u> :</h2>

36 compared to 6 = \tt \frac{36}{6}

Let the number be x.

Which means :

= \tt \frac{36}{6}  =  \frac{x}{3}

=\tt  \frac{36 \div 2}{6 \div 2}  =  \frac{x}{3}

=\tt  \frac{36}{6}  =  \frac{18}{3}

▪︎Therefore, the fractional number \tt \frac{18}{3} is equal to \tt \frac{36}{6}.

<h2>○=> <u>Solution (8)</u> :</h2>

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This can be written in a ratio as 24:6

Number of roses = 8

Let the number of red roses for these roses be x.

Which means :

=\tt  \frac{24}{6}  =  \frac{x}{8}

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=\tt 192 = 6x

=\tt x =  \frac{192}{6}

\hookrightarrow \color{plum}\tt x = 32

▪︎Therefore, 32 red roses are there if there are 8 roses.

<h2>○=> <u>Solution (9)</u> :</h2>

Number of children for 2 adults = 7

This can be written in a ratio as 7:2

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Let the number of adults be x.

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<h2>○=> <u>Solution (10)</u> :</h2>

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Cost of 1 pencil :

= \tt \frac{60}{12}

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Thus, the cost of one pencil = P5

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3 years ago
U=10y/3x<br><br>Solve for x​
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Answer:

x=(3u)/(10y)

Step-by-step explanation:

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