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Molodets [167]
2 years ago
8

Simplify the following algebraic expression 5x– 4у + 3y+8y – 7х​

Mathematics
1 answer:
Margarita [4]2 years ago
4 0

Answer:

<h2><em><u>-2x</u></em><em><u> </u></em><em><u>+</u></em><em><u> </u></em><em><u>7y</u></em></h2>

Step-by-step explanation:

<em><u>Given</u></em><em><u>, </u></em>

5x– 4у + 3y+8y – 7х

<em>[Bringing like terms together]</em>

= 5x - 7x - 4y + 3y + 8y

<em>[</em><em>Adding</em><em> </em><em>and</em><em> </em><em>subtracting</em><em> </em><em>the</em><em> </em><em>like</em><em> </em><em>terms</em><em>]</em>

= <em><u>- 2x + 7y (Ans)</u></em>

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At age 25, you decide to start your retirement account, and put $700 at the end of each quarter into an account paying 7.25% com
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Answer:

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Step-by-step explanation:

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An ice cream factory makes 100 quarts of ice cream in 5 hours. How many quarts could be made in 36 hours? What was that rate per
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3 years ago
If 1/4 gallons of water are enough to fill 7/10 of the pool how much water is nessacary to fill in the entire pool
anyanavicka [17]
<h3>Answer:  5/14 gallons</h3>

============================================================

Work Shown:

1/4 = 0.25

7/10 = 0.70 = 70%

We are told that 0.25 gallons of water fills 70% of the pool

We want to find how many gallons of water (call it x) are needed to fill 100% of the pool.

Set up the proportion below and solve for x

(0.25 gallons)/(70% filled) = (x gallons)/(100% filled)

0.25/70 = x/100

0.25*100 = 70x ....... cross multiply

25 = 70x

70x = 25

x = 25/70

x = (5*5)/(5*14)

x = 5/14 gallons

----------------------------------------

An alternate method:

1/4 gallons = 7/10 pools filled

(10/7)*(1/4 gallons) = (10/7)*(7/10 pools filled)

(10*1)/(7*4) gallons = (10*7)/(7*10) pools filled

10/28 gallons = 1 pool filled

(5*2)/(14*2) gallons = 1 pool filled

5/14 gallons = 1 pool filled

In the second step, I multiplied both sides by 10/7 so that the "7/10" turns into "1".

----------------------------------------

Yet another alternate method:

1/4 = 10/40

7/10 = 28/40

We need 10/40 gallons of water to fill 28/40 of one pool. We can multiply both fractions by 40 to indicate that 10 gallons of water will fill up 28 pools.

So we have this ratio

10 gallons : 28 pools

Dividing both parts by 28 tells us how many gallons are needed for one pool

10 gallons : 28 pools

10/28 gallons : 28/28 pools

10/28 gallons : 1 pool

5/14 gallons : 1 pool

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