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3 years ago

Solve -3(x+4)+15=6-4x

Mathematics

2 answers:

Illusion [34]3 years ago

5 0

The answer to 3(x+4)+15=6-4x is x=3

Free_Kalibri [48]3 years ago

5 0

Answer:

x = 3

Step-by-step explanation:

Given

- 3(x + 4) + 15 = 6 - 4x ( distribute and simplify left side )

- 3x - 12 + 15 = 6 - 4x

- 3x + 3 = 6 - 4x ( add 4x to both sides )

x + 3 = 6 ( subtract 3 from both sides )

x = 3

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Select the equivalent expression.

Free_Kalibri [48]

Answer:

$\frac{7^{15}}{3^{30}}$

Step-by-step explanation:

The given expression is:

$(\frac{3^{-6}}{7^{-3}})^{5}$

Moving the expression to the other side in the fraction changes its sign to opposite. A numerator with negative exponent, when written in denominator will have the positive exponent. Using this rule, we can write:

$(\frac{3^{-6}}{7^{-3}})^{5}\\\\ = (\frac{7^{3}}{3^{6}} )^{5}$

The exponent 5 can be distributed to both numerator and denominator as shown:

$(\frac{7^{3}}{3^{6}} )^{5}\\\\ = \frac{(7^{3})^{5}}{(3^{6})^{5}}$

The power of a power can be written as a product. i.e.

$\frac{(7^{3})^{5}}{(3^{6})^{5}}\\\\ =\frac{7^{15}}{3^{30}}$

So, the expression similar to the given expression and with positive exponents is: $\frac{7^{15}}{3^{30}}$

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3 years ago

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Hoshiko owns one-fifth of a business. She sells her share for $15,000. What is the total value of the business?

denpristay [2]

Answer:

75,000

Step-by-step explanation:

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A Web music store offers two versions of a popular song. The size of the standard version is 2.1 megabytes (MB). The size of the

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We have
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3 years ago