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mamaluj [8]
3 years ago
7

What two numbers multiply to equal -27 but adds up to equal -6

Mathematics
1 answer:
kkurt [141]3 years ago
4 0

Answer:

-9 and 3

Step-by-step explanation:

as -9×3= -27

and

-9+3= -6

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I think it would be 20
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AlladinOne [14]
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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

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8 0
3 years ago
Farmer Jack needs 1,800 square feet of garden space to have enough corn for a year. His garden space is currently 10 5?6 feet by
sergey [27]

Answer:

1,605\ ft^{2}

Step-by-step explanation:

step 1

Find the area of the garden space

First convert mixed number to an improper fraction

10\frac{5}{6}\ ft=\frac{10*6+5}{6}=\frac{65}{6}\ ft

A=\frac{65}{6}*18=195\ ft^{2}

step 2

Find how much more land Farmer Jack needs to plant the rest of his corn

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Answer:

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(9x + 25) x (13x - 19) x (17y + 5)

(117x squared - 171x + 325x - 475) x (17y + 5)

(117x squared + 154x - 475) x (17y + 5)

3 0
3 years ago
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