Mathematics, 30.06.2019 20:30 kolin89

Tank a has a capacity of 9.5 galloons 6 1/3 gallons of the tanks water are poured out how many gallons of water are left in the tank

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$= 9 \frac{1}{2} - 6 \frac{1}{3} \\ = 9 \frac{3}{6} - 6 \frac{2}{6}$
$= 3 \frac{3 - 2}{6} \\ = 3 \frac{1}{6}$

3 1/6 gallons of water are left in the tank.

Answer from: svandewalle

$3\frac{1}{6}$ gallons are left in the tank.

Total capacity of the tank = 9.5 gallons Total amount of water poured out in gallons = $6\frac{1}{3}$ Further Explanation

To determine the total amount left in the tank = Total capacity of the tank – Total amount of water poured out in gallons

= 9.5 (also expressed as 95/10) – $6\frac{1}{3}$ (otherwise expressed as $\frac{19}{3}$ )

Before solving further, we look for the lowest common denominator (LCD) of both denominators (10 and 3) since we are dealing with fractions.

Hence,

LCD of 10 and 3 = 30

Therefore,

= $\frac{95}{10}$ – $\frac{19}{3}$

= (95 x 3) – (19 x 10) / 30

= (285) – (190) / 30

= 285 – 190 / 30

= $\frac{95}{30}$

= $\frac{19}{6}$

= $3\frac{1}{6}$ gallons

Thus, the total amount of gallons of water left in the tank is $3\frac{1}{6}$ gallons.

The above expression is a typical number problem which has an element of fraction in it. Fraction consists of numerator and denominators which are usually jointly factored out to derive a solution to a given math problem.

It is essential to apply BODMAS while solving a fraction problem like the one given. And notably, the arms of BODMAS that were applied are Division, Multiplication and Addition.

LEARN MORE:

What does BODMAS stand for Numbers: fraction

KEYWORDS:

9.5 galloons6 1/3 gallonsgallons of watertankbodmasnumbersfraction

Answer from: Quest

Y=-2x-6 is the answer

Answer from: Quest

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.

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Tank a has a capacity of 9.5 galloons 6 1/3 gallons of the tanks water are poured out how many gallo...