2 years ago

A store has 13 boxes of candles. There are 44

Mathematics

1 answer:

schepotkina [342]2 years ago

6 0

Answer:

145 candles

Step-by-step explanation:

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Step-by-step explanation:

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Solve the equation (linear equation)<br><br> <img src="https://tex.z-dn.net/?f=%28%5Cfrac%7B16%7D%7B9%7D%29%20%5E%7B2x%20%2B5%7D

nignag [31]

Answer: $x=-\frac{3}{5}$

Step-by-step explanation:

By the negative exponent rule, you have that:

$(\frac{1}{a})^n=a^{-n}$

By the exponents properties, you know that:

$(m^n)^l=m^{(nl)}$

You can rewrite 16 and 9 as following:

16=4²

9=3²

Therefore, you can rewrite the left side of the equation has following:

$(\frac{4^2}{3^2})^{(2x+5)}=(\frac{3}{4})^{(x-7)}\\\\(\frac{3^2}{4^2})^{-(2x+5)}=(\frac{3}{4})^{(x-7)}\\\\(\frac{3}{4})^{-2(2x+5)}=(\frac{3}{4})^{(x-7)}$

As the base are equal, then:

$-2(2x+5)=x-7$

Solve for x:

$-2(2x+5)=x-7\\-4x-10=x-7\\-4x-x=-7+10\\-5x=3\\x=-\frac{3}{5}$

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3 years ago

If you substitute 3 for x what is the matching value for y? -3x-y=-7

Mnenie [13.5K]

-3(3) - y = -7

-9- y = -7

add 9 to each side -y = 2

y=-2

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