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Nikolay [14]
3 years ago
12

A tube filled with 50 quarts of water empties at a rate of 2.5 quarts per min

Mathematics
2 answers:
CaHeK987 [17]3 years ago
8 0

it will be emte in 20 hours

Debora [2.8K]3 years ago
6 0

Remark

If it does not have more water flowing in to take the place of the water flowing out, then the question can be solved by the formula below.

Formula

Total amount of water = the rate flowing out * the time to empty the container.

Givens

Amount of water = 50 quarts

Rate = 2.5 quarts / min

Solve

50 = 2.5 * t

t = 50 / 2.5

t = 20 quarts per minute. But there is a lot of possible variation to this question.

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Help please will be marked as brainliest if correct and first person to respond
nydimaria [60]

Answer: Unlock code = 76

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

Explanation:

Use a factor tree to find the prime factorization of each value

22 = 2*11

30 = 2*3*5

Both values have '2' in common and this is the largest such value. Therefore, the GCF of 22 and 30 is 2.

So E = 2

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

Since 3 and 8 have no factors in common (other than 1), this means the LCM is 3*8 = 24

We can say that F = 24.

If the numbers had some larger number in common, then we'd have to do a bit more work to find the LCM.

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

As the hint suggests, we'll use the distributive property to show that

3*(7+10) = G + 30

3*7 + 3*10 = G + 30

21 + 30 = G + 30

21 = G .... subtract 30 from both sides; they cancel and go away

G = 21

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

Use the same idea for the other equation as well

5*(3 + H) = 15 + 45

5*3 + 5*H = 15 + 45

15 + 5H = 45

5H = 45 ............ subtract 15 from both sides; they go away

H = 45/5 ......... divide both sides by 5

H = 9

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

The unlock code is

E+F+G+H = 2+24+21+29 = 76

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