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3 years ago

Which of the following equations represent a proportional relationship

Mathematics

1 answer:

MAXImum [283]3 years ago

8 0

A would be fine as your answer.

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If john is going 36kms per hour, how long will it take john to drive 95kms?

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Approximately 2 hours and 30 minutes

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3 years ago

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Tim's phone service charges $24.93 plus an additional $0.21 for each text message sent per month. If

Nastasia [14]

Answer:

x = 24

Step-by-step explanation:

T = 24.93 + 0.21x Substitute 30.18 for T

30.18 = 24.94 + 0.21x

-24.94 - 24.94 Subtract 24.94 from both sides

5.24 = 0.21x Divide both sides by 0.21

x = 24.95 ≈ 24 because you can't have a partial text message.

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3 years ago

Solve the exponential equation for x<br> 3^7x+4=(1/27)^x-3

velikii [3]

Answer:

The solution is $x = \frac{1}{2}$

Step-by-step explanation:

To solve this exponential equation, we must write both sides as powers of 3.

The equation given is:

$3^{7x + 4} = (\frac{1}{27})^{x-3}$

Since $3^3 = 27$ , we have that $3^{-3} = \frac{1}{3^3} = \frac{1}{27}$ , so $\frac{1}{27} = 3^{-3}$

Then

$3^{7x + 4} = (\frac{1}{27})^{x-3}$

$3^{7x + 4} = (3^{-3})^{x-3}$

$3^{7x + 4} = 3^{-3(x-3)}$

$3^{7x + 4} = 3^{-3x + 9}$

Since both sides are now powers of 3, we can equal them:

$7x + 4 = -3x + 9$

$10x = 5$

$x = \frac{5}{10}$

$x = \frac{1}{2}$

The solution is $x = \frac{1}{2}$

6 0

3 years ago