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slamgirl [31]
3 years ago
11

To make lemonade, i use a ratio of $7$ parts water to $1$ part lemon juice. if i want to make a gallon of lemonade, and there ar

e four quarts in a gallon, how many quarts of water do i need? write your answer as a proper or improper fraction.
Mathematics
2 answers:
In-s [12.5K]3 years ago
7 0

Answer:

<h2>3.5 gallons of water.</h2>

Step-by-step explanation:

According to the problem, water and lemon have the ratio 7:1, 7 parts of water per 1 part of lemon.

Also, we know that one gallon have four quarts, and we want to make 1 gallon of lemonade. So, the amount of water would be x, because the question is about water, and the amount of lemonade would be 4 \ quarts - x, because it would be the difference between the total 4 quarts (1 gallon) and the amount of water.

Now, using the ratios, we have:

\frac{7 \ water}{1 \ lemon}=\frac{x \ water}{4 - x \ lemon} \\28-7x=x\\7x+x=28\\8x=28\\x=\frac{28}{8}=3.5

Therefore, the amount of water needed is 3.5 gallons, and 0.5 gallons of lemon.

Fed [463]3 years ago
6 0
In order to solve this problem, we need our knowledge on ratio and proportion for us to set up an equation. <span>A </span>proportion<span> is an equation with a </span>ratio<span> on each side. It is a statement that two </span>ratios<span> are equal. </span>We do as follows:

7 parts water / 1 part lemon = 4 quarts - x / x

where x is the quarts lemon needed

Solving for x,

x = 0.5
water needed = 4-x = 3.5 quarts water is needed


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kirill115 [55]

Answer:

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Step-by-step explanation:

You are looking for a unit rate of cents per mile.

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8 0
3 years ago
Put these numbers in order from greatest to least.<br> 1 6/8,-10/25,-18/25,1
goldenfox [79]

\textsf{Hey there!}

\textsf{Put these numbers in order from GREATEST to LEAST}

\bullet{\mathsf{ \ 1\dfrac{6}{8}}}

\bullet\mathsf{\ -\dfrac{10}{25}}

\bullet{\mathsf{\ -\dfrac{18}{25}}}

\bullet{\textsf{ 1}}

\star\textsf{ We know that fractions, decimals, negatives are BELOW 0 (on the left} \textsf{of 0)}

\star\textsf{ \& we also know that positives and real numbers is/are ABOVE 0 (to the right} \textsf{of 0)}

\textsf{Now we can answer your question}

\blacksquare \ \mathsf{1\dfrac{6}{8} = \dfrac{14}{8} = 1.75}

\blacksquare\ \mathsf{-\dfrac{10}{25} = -0.40}

\blacksquare\ \mathsf{- \dfrac{18}{25} = -0.72}

\blacksquare \ \mathsf{1 = 1}

\textsf{Look carefully at the stuff converted to the decimal or regular number \& } \textsf{you will  have your answer from \underline{greatest} to \underline{least}}

\boxed{\textsf{If you solved correctly you  SHOULD have: \boxed{\mathsf{\dfrac{14}{8}, \ 1, \ - \dfrac{10}{25}\ ,\  -\dfrac{18}{25}}}}}\checkmark

\textsf{Good luck on your assignment and enjoy your day!}

~\frak{LoveYourselfFirst:)}

5 0
3 years ago
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Murrr4er [49]
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3 years ago
Use the information to answer the following question.
Zanzabum

Answer:

C

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Since the difference between 0 and -10 is 10, this means that the difference between the diving board and the pool also has to be 10. Therefore, the diving board is 10 feet above the water since 0+10 is 10.

6 0
3 years ago
Read 2 more answers
I am not sure if this is right can someone check it ASAP please
NikAS [45]

Answer:

x=10

Step-by-step explanation:

3(4x-12) = 84

Divide each side by 3

3/3(4x-12) = 84/3

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Add 12 to each side

4x-12+12 = 28+12

4x= 40

Divide each side by 4

4x/4 = 40/4

x = 10

6 0
3 years ago
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