Mathematics, 07.07.2019 11:30 milkshakegrande101

Yasmine bought 6 gallons of apple juice. after filing up 4 bottles of the same juice, she had 0.3 gallons of apple juice left. what's the amount of apple juice in each bottle?

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Answer from: sanfordl

1.425 gallons/bottle

Further explanation

Given:

Yasmine bought 6 gallons of apple juice. After filling up 4 bottles of the same juice, she had 0.3 gallons of apple juice left.

Question:

What is the amount of apple juice in each bottle?

The Process:

Let the amount of apple juice in each bottle as X.

The two steps for obtaining X are as follows:

Step-1: the total amount of apple juice is the initial gallon amount subtracted by the remaining gallon amount.

$\boxed{ \ 6 \ gallons - 0.3 \ gallons = 5.7 \ gallons \ }$

Step-2: the total amount of apple juice divided by the number of bottles is the amount of apple juice in each bottle.

$\boxed{ \ X = 5.7 \ gallons \div 4 \ bottles = \boxed{ \ 1.425 \ gallons/bottle \ } \ }$

Quick steps:

$\boxed{ \ X = \frac{(6 - 0.3) \ gallons}{4 \ bottles} = \boxed{ \ 1.425 \ gallons/bottle \ } \ }$

Thus, the amount of apple juice in each bottle is 1.425 gallons.

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Keyword: Yasmine bought 6 gallons of apple juice, after filling up 4 bottles, she had 0.3 gallons, what's the amount, in each bottle?

Answer from: Uschi

The size of each bottle that is filled by apple juice is $\boxed{\bf 1.425}$ .

Further explanation:

Given:

Yasmine bought gallons of apple juice.

She filled up bottles of same size.

She had 0.3 gallon of apple juice left.

Calculation:

Consider the size of each bottle is gallons.

Total size of each bottle is gallons.

Total amount of apple juice used in these gallons can be obtained by subtracting total amount of apple juice to remaining apple juice.

$\boxed{6-0.3=5.7}$

Therefore, total size of the bottles is $5.7\text{ gallon}$ .

Write the equation for the total size of the bottles.

$\boxed{4x=5.7}$

Now find the value of which gives the size of the bottles.

$\begin{aligned}4x&=5.7\\x&=\dfrac{5.7}{4}\\x&=1.425\end{aligned}$

Therefore, the size of each bottle that is filled by apple juice is $\boxed{\bf 1.425}$ .

Simple method:

First find the total size of bottle and then divide by .

The total size of each bottle can be obtained as follows:

6-0.3=5.7

The size of each bottle can be obtained as follows:

$\dfrac{5.7}{4}=1.425$

The size of each bottle that is filled by apple juice is $\boxed{\bf 1.425}$ .

Learn more:

1. Learn more about algebraic expression

2. Learn more about average

Answer details:

Grade: Middle school

Subject: Mathematics

Chapter: Algebraic expression

Keywords: Yasmine, apple juice, juice, 6 gallons, 0.3 gallons, filled, equally, bottles, juice, poured,1.425, liters, size, amount, equation, total size.

Answer from: Quest

none cuz there are no "following statements" regarding the question

step-by-step explanation:

Answer from: Quest

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6 = 0.00000180

1.80 x 10-4 = 0.000180 (bigger, or "less small", than the former one)

1.8 x 10-2 = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.

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