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elena-14-01-66 [18.8K]
2 years ago
13

Question60 is 40% of what number?

Mathematics
1 answer:
Natalka [10]2 years ago
7 0

let the required number be x then

\begin{gathered} \frac{60}{x}\times100=40 \\ x=\frac{60}{40}\times100 \\ x=150 \end{gathered}

So 60 is 40% of 150.

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How to solve: <img src="https://tex.z-dn.net/?f=log_%7B3%7D%20%28x%2B6%29%20%2B%20log_%7B3%7D%28x-6%29%20%3D%204" id="TexFormula
Shalnov [3]

Collapse the logarithms into one:

\log_3(x+6)+\log_3(x-6)=\log_3((x+6)(x-6))=4

Then write both sides as powers of 3:

3^{\log_3((x+6)(x-6))}=3^4

(x+6)(x-6)=81

Simplify the left side and solve for x:

x^2-36=81

x^2=117

x=\pm\sqrt{117}=\pm3\sqrt{13}

But we're not done yet. Notice that both x+6 and x-6 are negative when x=-3\sqrt{13}. We can't take the logarithm of a negative number (the result isn't real-valued, anyway), so we throw this solution out, and we're left with just

x=3\sqrt{13}

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The planet Mercury travels 180,600 miles in its orbit during the 7 hours that make
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Answer:25800 for 1 hour

Step-by-step explanation:

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3 years ago
What are 5 good questions i can ask as an 8th grader to my teacher about mathematics
zloy xaker [14]

Answer:

Ask about the usage of euler's number in real world situations.

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2 years ago
Is The ratio 5 gallons in 10 minutes a rate?
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It can't be 5gallons In 10 minutes because gallons is physical time not!
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Read 2 more answers
Express 0.8342 as a fraction
prohojiy [21]
<span>0.8342 = <span>4171/5000
</span></span><span><span>.................

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