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vesna_86 [32]
4 years ago
12

Two pipes running together can fill a tank in 20 minutes.

Mathematics
1 answer:
Hunter-Best [27]4 years ago
3 0

Answer:

45, 36

Step-by-step explanation:

let x y minutes be the time for pipes to fill the tank, let n be the water needed to fill the tank.

x-y=9

(n/x)*20+(n/y)*20=n

n is removed by dividing the 2nd equation by n

here u get:

(1/x+1/y)*20=1

you sub x=9+y into the above equation

1/y+1/(9+y)=1/20

((9+y)+(y))*20=(9+y)(y)

180+40y=9y+y2

y2-31y-180=0

then use the quadratic formula and u will find y=36 or -5

-5 is rejected because it is negative

x=36+9=45

therefore it is 36 mins and 45 mins

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3 years ago
Find the GCF of 18xy and 32xyz
Tanzania [10]
<h3>Answer:</h3>

2xy

<h3>Step-by-step explanation:</h3>

GCF stands for the greatest common factor.

Finding All Factors

To find the GCF you need to find the factors of each term. First, find the factors of the coefficients.

  • The factors of 18 include: 1, 2, 3, 6, 9 and 18
  • The factors of 32 include: 1, 2, 4, 8, 16, and 32

Next, lay out the variables that are factors.

  • The variables of 18xy are x and y.
  • The variables of 32xyz are x, y, and z.

Remember that variables count as factors

Greatest Common Factor

Now that we have all of the factors we can find the GCF. The GCF will be the largest number and the most variables that are a factor of both terms.

In this case, the largest factor of 18 and 32 is 2. Since both x and y are factors of both terms, the GCF is 2xy.

4 0
2 years ago
Can you help me? Please explain how you got it!
julia-pushkina [17]

Answer:

B.

Step-by-step explanation:

First we must find the x and y intercepts for y = -2x - 4. The y-intercept is -4, since it is b in y = mx + b, but you can also find it by plugging in zero for x:

y = -2(0) - 4 = 0 -4=-4

The x-intercept is found by plugging in zero for y:

0=-2x-4

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4 years ago
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