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3 years ago

0.3(10-5x)=31.5(8x+9)

Mathematics

1 answer:

salantis [7]3 years ago

7 0

Answer:

Step-by-step explanation:

0.3(10-5x)=31.5(8x+9)

Expand the terms in the bracket

That's

3 - 1.5x = 252x + 283.5

Subtract 3 from both sides

3-3 - 1.5x = 252x + 283.5 - 3

-1.5x = 252x + 280.5

Subtract 252x from both sides

That's

- 1.5x - 252x = 252x - 252x + 280.5

- 253.5x = 280.5

Divide both sides by -253.5

We have the final answer as

x = - 1.106

Hope this helps you

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see the attached figure

Step-by-step explanation:

we know that

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where

d ----> number of dollars (dependent variable or output value)

n ---> number of ounces (independent variable or input value)

Remember that the slope of the linear equation is the same that the unit rate

Verify each case

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This is a proportional relationship between the variables d and n

The slope is

$m=16\frac{dollars}{ounce}$

therefore

The unit rate is $16\frac{dollars}{ounce}$

2) we have

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take two points from the table

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$m=\frac{d2-d1}{n2-n1}$

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simplify

$m=\frac{1}{4}\frac{dollars}{ounce}$

therefore

The unit rate is $\frac{1}{4}\frac{dollars}{ounce}$

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isolate the variable d

$d=\frac{1}{4}n$

The slope is

$m=\frac{1}{4}\frac{dollars}{ounce}$

therefore

The unit rate is $\frac{1}{4}\frac{dollars}{ounce}$

4) we have

Second table

take two points from the table

(1,4) and (2,8)

substitute in the formula of slope

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therefore

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