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2 years ago

Given that y varies directly as x, and y= 27 when x = 54. Find the value of x when y = 54?

Mathematics

1 answer:

Aleonysh [2.5K]2 years ago

8 0

X equals 54 and y equals 27

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Answer:

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2 years ago

Which equation represents this statement? Fourteen less than three times a number is fifty-two. A) 3x −14 = 52 B) 3x + 14 = 52 C

zalisa [80]

Answer:

Step-by-step explanation:

This sentences implies that to a number multiplied by 3 ( three times a number) 14 needs to be subtracted.

5 0

3 years ago

The pipe fitting industry had 546.5 thousand jobs in 2015 and is expected to decline at an average rate of 3 thousand jobs per y

lesya692 [45]

Answer:

The amount of jobs from fitting industry shall decline in 5.5 percent from 2015 to 2025.

Step-by-step explanation:

Due to the assumption of a yearly average rate, a linear function model shall be used. The expected amount of jobs ( $n$ ) after a certain amount of years (t) is given by the following formula:

$n = n_{o} + \frac{\Delta n}{\Delta t}\cdot t$

Where:

$n_{o}$ - Initial amount of jobs in pipe fitting industry, measured in thousands.

$\frac{\Delta n}{\Delta t}$ - Average yearly rate, measured in thousands per year. (A decline is indicated by a negative sign)

If $n_{o} = 546.5$ , $t = 2025-2015 = 10\,years$ and $\frac{\Delta n}{\Delta t} = -3\,\frac{1}{years}$ , then:

$n = 546.5+\left(-3\,\frac{1}{year}\right)\cdot (10\,years)$

$n = 516.5$

The percent change in jobs from pipe fitting industry is calculated as follows:

$\%n = \left(1-\frac{n}{n_{o}}\right)\times 100\,\%$

$\% n = \left(1-\frac{516.5}{546.5}\right)\times 100\,\%$

$\%n = 5.5\,\%$

The amount of jobs from fitting industry shall decline in 5.5 percent from 2015 to 2025.

4 0

2 years ago

Please and thank you

natali 33 [55]

Answer:

0.0734888848 hope this helps

3 0

3 years ago

5a+2a(5-b)= <br><br> Simplify the expression

Natali [406]

5a+2a(5−b)

Distribute:

=5a+(2a)(5)+(2a)(−b)

=5a+10a+−2ab

Combine Like Terms:

=5a+10a+−2ab

=(−2ab)+(5a+10a)

=−2ab+15a

6 0

2 years ago

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