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Amanda [17]
3 years ago
14

hey, i have this question for algebra nation and i have no clue how to work this problem out... can you please help me?

Mathematics
1 answer:
irina1246 [14]3 years ago
8 0
In algebra the notation is basically just a number, for example, 10, and we take it to the 10th power, you just take the decimal at the end of the 10 and move it 10 spaces to the right, if the number is negative you will move the decimal to the left 10 spaces, the 10th power is a variable and is different with every question
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If Mark got 6 questions out of 40 incorrect, what percent of the questions did he get correct?
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Read 2 more answers
N f(x) = 2x , x=5. What is the value of the function?
wel
Plug the 5 into the x in the equation 2x. it should be 2(5) which equals 10.
6 0
3 years ago
Pumps A, B, and C operate at their respective constant rates. Pumps A and B, operating simultaneously, can fill a certain tank i
jeka94

Let a,b,c be the time it takes for pumps A, B, and C (respectively) to fill 1 tank. Then

\begin{cases}\dfrac1a+\dfrac1b=\dfrac1{\frac65}=\dfrac56\\\\\dfrac1a+\dfrac1c=\dfrac1{\frac32}=\dfrac23\\\\\dfrac1b+\dfrac1c=\dfrac12\end{cases}

Now,

\left(\dfrac1a+\dfrac1b\right)-\left(\dfrac1a+\dfrac1c\right)=\dfrac56-\dfrac23\implies\dfrac1b-\dfrac1c=\dfrac16

Then

\left(\dfrac1b+\dfrac1c\right)+\left(\dfrac1b-\dfrac1c\right)=\dfrac12+\dfrac16\implies\dfrac2b=\dfrac23\implies b=3

This means

\dfrac1a+\dfrac13=\dfrac56\implies\dfrac1a=\dfrac12\implies a=2

and

\dfrac13+\dfrac1c=\dfrac12\implies\dfrac1c=\dfrac16\implies c=6

Working together, all 3 pumps would operate at a rate of

\dfrac1a+\dfrac1b+\dfrac1c=1

or 1 tank in 1 hour, so the answer is D.

8 0
3 years ago
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