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2 years ago

13

A painter can paint 350 square feet in 1.25. What is the painting rate in square feet per hour?

1 answer:

stira [4]2 years ago

7 0

350/1.25 = 280

As you need square feet per hour, you would calculate Square feet/hour. Hence 350 square feet/1.25 hours

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Solve for x in the following equation.

WARRIOR [948]

$\huge\text{Hey there!}$

$\mathsf{5^{x - 2} = 5^8}$

$\mathsf{5^{x - 2} = 5\times5\times5\times5\times5\times5\times5\times5}$

$\mathsf{5^{x - 2} = 25\times25\times25\times25}$

$\mathsf{5^{x - 2} = 625\times625}$

$\mathsf{5^{x - 2} =390,625}$

$\large\textsf{Solving for the exponent:}$

$\mathsf{5^{x - 2} =390,625}$

$\large\textsf{Take the log (logarithm) to both of the sides:}$

$\mathsf{log(5^{x - 2} \rightarrow log(390,625)}$

$\large\textsf{Simplify it:}$

$\mathsf{(x - 2) \times(log (5)) \rightarrow log(390,625)}$

$\large\textsf{Simplify that as well:}$

$\mathsf{x - 2 = \dfrac{log(390,625)}{log(5)}}$

$\large\textsf{You get it: }\mathsf{x - 2 = 8}$

$\large\textsf{ADD by 2 to BOTH of the SIDES:}$

$\mathsf{x - 2 + 2 = 8 + 2}$

$\large\textsf{Simplify it:}$

$\mathsf{x = 8 + 2}$

$\mathsf{x = 10}$

$\huge\textsf{Therefore, your answer should be:}$

$\huge\boxed{\mathsf{x =} \frak{10}}\huge\checkmark$

$\huge\text{Good luck on your assignment \& enjoy your day!}$

~ $\frak{Amphitrite1040:)}$

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