Mathematics, 26.09.2019 01:30 zabattle

Tank a has a capacity of 9.5 gallons. 6 1/3 gallons of the tank's water are poured out. how many gallons of water are left in the tank?

Answers: 2

Show answers

Answers

Answer from: babyquinnz

Water left in tank is $3\frac{1}{6}$ gallons.

Step-by-step explanation:

Given :

Capacity of tank = 9.5 gallons $=\frac{95}{10}$

Water taken out of tank = $6\frac{1}{3}=\frac{19}{3}$ gallons

We have to find the water left in the tank.

Water left in the tank = Total capacity of tank - water taken out of tank

= $\frac{95}{10}-\frac{19}{3}$

Taking LCM of (3,10)= 30

$\Rightarrow \frac{95 \times 3-19 \times10}{30}$

Solving further, we get,

$\Rightarrow \frac{285-190}{30}$

$\Rightarrow \frac{95}{30}=\frac{19}{6}=3\frac{1}{6}$

Thus, Water left in tank is $3\frac{1}{6}$ gallons..

Answer from: asdf334asdf334

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

The total capacity of the tank = 9.5 gallonsThe 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 19/3)

= 95/10 – 19/3

= (95 x 3) – (19 x 10) / 30

= (285) – (190) / 30

= 285 – 190 / 30

= 95/30

= 19/6

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

The above solution to the given mathematical problem was derived as a result of following the rules of BODMAS.

The math problem has an element of fractions in it.

9.5 is the given value of the tank, and was expressed as fraction i.e 95/10 because the volume of water poured out of the tank was given as a fraction and whole number ( $6\frac{1}{3}$ ), which was then factored to get a fractional value (19/3).

To determine the remaining gallons left in the tank, the Lowest Common Multiples of the denominators (30) was factored out, and is divided by the denominators and then multiplied to by the numerators of both fractions.

The derived values were subtracted from each other, and broken down to their lowest factors to finally derive the total amount of gallons of water left in the tank.

LEARN MORE:

fraction mixed numbers Lowest common denominator

KEYWORDS:

bodmaslowest common denominatormixed numbersfractionsgallons of water

Answer from: Quest

3=log(n)=2

answer a: product property

Asap 25 pts + brainliest to right/best answer

Answer from: Quest

$18 was the price of the t-shirt

step-by-step explanation:

Other questions on the subject: Mathematics

Mathematics, 22.06.2019 00:00, Kaitneedshelps

Determine the function’s value when x = -1 a. g(-1)=-3 b. g(-1)=0 c. g(-1)=1 d. g(-1)=27

Answers: 2

continue

Mathematics, 22.06.2019 02:00, lovelyheart5337

Aculinary club earns $1360 from a dinner service. they sold 45 adult meals and 80 student meals. an adult meal costs twice as much as a student meal. what is the cost of an adult meal?

Answers: 2

continue

Mathematics, 22.06.2019 02:30, HolaConcheeDaBrycee

Six random samples were taken each year for three years. the table shows the inferred population for each type of fish for each year.

Answers: 1

continue

Mathematics, 22.06.2019 03:00, breasiasamuel7053

Your friend, taylor, missed class today and needs some identifying solutions to systems. explain to taylor how to find the solution(s) of any system using its graph.

Answers: 1

continue

You know the right answer?

Tank a has a capacity of 9.5 gallons. 6 1/3 gallons of the tank's water are poured out. how many gal...