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natta225 [31]
3 years ago
5

When 200 gallons of oil were removed from a tank, the volume of oil left in the tank was 3/7 of the tank's capacity. what was th

e tank's capacity? (1) before the 200 gallons were removed, the volume of oil in the tank was 1/2 of the tank's capacity?
Mathematics
1 answer:
ki77a [65]3 years ago
7 0

Answer:

Step-by-step explanation:

"When 200 gallons of oil were removed from a tank" algebraically looks like this:

V - 200.

"...the volume of oil left in the tank was 3/7 of the tank's capacity" algebraically looks like this:

3/7(V)

Therefore, the equation is

V - 200 = 3/7(V)

Begin by multiplying both sides by 7:

7(V - 200) = 3V and

7V - 1400 = 3V so

-1400 = -4V so

V = 350 gallons

That's if the volume of the oil in the tank was 3/7 of the tank's capacity.

For the other part of the problem, we set up the equation almost the same, except the 3/7 is a 1/2:

V - 200 = 1/2(V)

Multiplying both sides by 2 gives you

2(V - 200) = V and

2V - 400 = V so

-400 = -V so

V = 400

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Free_Kalibri [48]

Answer:

T(2, -7) = (4, -10)

Step-by-step explanation:

T(x, y) = (x + 2, y - 3)

T(2, -7) = (2 + 2, -7 - 3)

T(2, -7) = (4, -10)

3 0
3 years ago
2. Randy has a house that is worth $250,000 but he still owes $175,000. He has a car that is worth $50,000 but he still owes $37
faust18 [17]

Answer:

$91,200

Step-by-step explanation:

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3 years ago
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hodyreva [135]
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3 years ago
Jim has ten more dollars than Gail. Together they have at most twenty-seven dollars. A. Determine the possible amounts of money
Irina18 [472]
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3 years ago
Read 2 more answers
On the number line above, points J, K, L, and M are integers, and JK:KL:KM = 2:1:3. What is the value of KM? number line shown b
Rama09 [41]

Answer:

<h2>F. 12</h2>

Step-by-step explanation:

The distance between A and M i.e JM = M - J = 5-(-19)

JM = 5+19

JM = 24

If JK:KL:KM = 2:1:3

The total ratio = 2+1+3

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Dividing each length based on ratio

length JK = 2/6 * JM

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length KL = 1/6 * JM

KL = 1/6 * 24

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length KM = 3/6 * JM

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KM = 12

<em>Hence the value of KM is 12</em>

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3 years ago
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