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nataly862011 [7]
2 years ago
13

Please answer quick to!

Mathematics
1 answer:
mrs_skeptik [129]2 years ago
5 0

Answer: C.)

Step-by-step explanation:

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Write the fraction in lowest terms.<br><br> 13/17
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Determine whether quantities vary directly or inversely and find the constant of variation. 16 factory workers made 40 pieces in
Andrei [34K]

Answer:

Part A) 8\ workers

Part B) 10\ workers

Part C) 40\ workers

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form k=\frac{y}{x} or y=kx

Let

x -----> the number of workers

y ----> the number of pieces made

In this problem

The relation between the variables x and y represent a direct variation (proportional variation)

so

For x=16, y=40

Find the value of the constant of proportionality k

k=\frac{y}{x}

substitute the values

k=\frac{y}{x}

k=\frac{40}{16}\\k=2.5\ \frac{pieces}{worker}

The linear equation is equal to

y=2.5x

Part A) How many workers are needed to make 20 pieces

For y=20 pieces

substitute in the linear equation

20=2.5x

x=8\ workers

Part B) How many workers are needed to make 25 pieces

For y=25 pieces

substitute in the linear equation

25=2.5x

x=10\ workers

Part C) How many workers are needed to make 100 pieces

For y=100 pieces

substitute in the linear equation

100=2.5x

x=40\ workers

3 0
3 years ago
ANSWERED**
den301095 [7]
Yeah if it’s already answered then ima take those points, sorry not sorry g
8 0
3 years ago
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