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Natalija [7]
1 year ago
9

What value of x makes the followingequation true?21*(x - 16) = (2x - 32)Please help

Mathematics
1 answer:
Charra [1.4K]1 year ago
6 0

Let's solve for x the following question:

3/4 (x - 16) = 5/4 (2x - 32)

As I told you on the previous exercise:

Step 1: Solve the parenthesis

3/4 x - 48/4 = 10/4 x - 160/4

Step 2: Like terms

3/4x - 10/4x = -160/4 + 48/4

-7/4x = -112/4

Step 3: Simplifying

-7/4x = -28

Step 4: Multiplying by 4 at both sides:

-7/4x * 4 = -28 * 4

-7x = -112

-7x/-7 = -112/-7

x = 16

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Answer:

It will take 6 hours for the new pump to drain the pool.

Step-by-step explanation:

As the complete question is not given, the complete question is found online and is attached herewith

Let the rate of new pump is given as x=W/t_1

Let the rate of the old pump is given as y=W/t_2

it is given that the time t_2=2t_1

So by substituting the values of t_2 in the rate equation of y

y=W/2t_1

y=(W/t_1*2)=x/2

Also the total rate of both the pumps is given as W/t3 where t3 is given as 4 hours so the equation becomes

x+y=W/4

x+x/2=W/4

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As x=W/t_1

3W/2t_1=W/4

Now as W is same on both sides so

3/2t_1=1/4

12=2t_1

t_1=6 hours

So it will take 6 hours for the new pump to drain the pool.

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Step-by-step explanation:

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