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natta225 [31]
2 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]2 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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Step-by-step explanation:

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4 0
3 years ago
Factor completely 5ax2 − 20x3 2a − 8x. (a 4x)(5x2 2) (a 4x)(5x2 − 2) (a − 4x)(5x2 2) (a − 4x)(5x2 − 2).
antiseptic1488 [7]

The complete factor of the polynomial 5ax² − 20x³ + 2a − 8x is (5x² + 2) (y − 4x). Then the correct option is C.

<h3>What is polynomial?</h3>

Polynomial is an algebraic expression that consists of variables and coefficients. Variable are called unknown. We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable.

Factor completely 5ax² − 20x³ + 2a − 8x.

Take 5x² common from the first two terms and 2 from the last two terms. we have

5ax² − 20x³ + 2a − 8x

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Take (a - 4) common, then we have

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More about the polynomial link is given below.

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8 0
2 years ago
the midpoint of AB is point P at (-16,6) if point A is at (-10,8) what are the coordinates of point B?
max2010maxim [7]

Answer:

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Hope this helps!

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3 years ago
The ratio 20:40:100 in its simplest form.
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Answer:

900

Step-by-step explanation:

10% de 9000 es 900

Trabajando el 10% de 9000

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Dado que, encontrar la fracción de un número es lo mismo que multiplicar la fracción por el número, tenemos

10100 de 9000 = 10100 × 9000

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Si está utilizando una calculadora, simplemente ingrese 10 ÷ 100 × 9000, lo que le dará 900 como respuesta.

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