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Snezhnost [94]
3 years ago
15

Detective pi has 5 1/5 quarts of orange juice.She likes to have 2/5 of a quart every morning for breakfast.How many mornings can

Detective pi have orange juice before she runs out
Mathematics
2 answers:
vivado [14]3 years ago
7 0
Detective PI can have 13 days of Orange juice before she runs out
11111nata11111 [884]3 years ago
6 0
Total amount juice = 5 1/5 quarts.
Juice needed every morning = 2/5 quarts.

Find number of mornings:
5 \dfrac{1}{5}  \div  \dfrac{2}{5}

Change to improper fraction:
= \dfrac{26}{5}  \div  \dfrac{2}{5}

Change the divide fraction to multiplication fraction:
= \dfrac{26}{5}  \times  \dfrac{5}{2}

Combine and simplify
= 13

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Answer: She can have the orange juice for 13 days before it runs out.
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The area of a rectangular patio is 5 5/8 square yards, and it's length is 1 1/2 yards. What is the patio's width in yards?
MAXImum [283]
Hello there! Thank you for asking your question here at Brainly. I will be assisting you today with answering this problem, and will be teaching you how to deal with it on your own in the future.

First, let's take a look at our question, and evaluate it.

"The area of a rectangular patio is 5 5/8 square yards, and it's length is 1 1/2 yards. What is the patio's width in yards?"

To clarify this problem, we are looking for the patio's width.

Let's first understand what the area of a rectangular shape is.
The formula for the area of a rectangle is "Length times Width", or "L • W".

So this is how the equation should look like:
A = L • W
We have our area, 5 5/8, and we have our length, 1 1/2.

To make things more simple, let's convert our fractions to decimals. Now, to convert our fractions to decimals, let's set our denominators (the numbers on the bottom of a fraction) equal to another fraction, with x as the numerator (the numbers on the top of a fraction) and 100 as the denominator.

So we have 1/2 and x/100. Divide 100 by 2 to find x (as 1/2 of anything is dividing by 2).
100 / 2 = 50, so 1 1/2 = 1.50 as a decimal.

Now, let's try 5/8.
1/8 = 0.125, so multiply 0.125 by 5.
0.125 • 5 = 0.625.
5 5/8 = 5.625 as a decimal.

So, now we have our equation:
A = L • W
Plug in our numbers.
5.625 = 1.50x

To isolate and solve for x, we need to divide both sides by 1.50, so let's do that.
5.625 / 1.50 = 3.75
1.50x / 1.50 = x

We are now left with:
x = 3.75

Your answer is:
The patio's width is 3.75 yards.

I hope this helps!
8 0
3 years ago
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