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Alex73 [517]
3 years ago
9

Marcus is making cookies. The recipe says 2 1/4

Mathematics
2 answers:
7nadin3 [17]3 years ago
8 0
6 3/4 is the amout of cups he'll use 

1 Batch: 2 1/4
2 Batches: 4 2/4
3 Batches: 6 3/4
Elena-2011 [213]3 years ago
7 0

we know that

The recipe says 2\frac{1}{4} cups of flour are needed for each batch

so

by proportion

Find how many cups of flour will Marcus use to make 3 batches of cookies

Convert mixed number to an improper fraction

2\frac{1}{4}=2.25

\frac{2.25}{1} \frac{cups}{batch} =\frac{x}{3} \frac{cups}{batch} \\ \\x=2.25*3\\ \\x=6.75\ cups

Convert to a mixed number

6.75\ cups=6+0.75=6+\frac{3}{4}=6\frac{3}{4}\ cups

therefore

<u>the answer is</u>

6\frac{3}{4}\ cups

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3 years ago
Navin gave his brother 1/5 of his money and her sister 5/8 of the remainder. Navin remained with $12.00 (a) Calculate how much m
MrRa [10]

Answer:

$40

Step-by-step explanation:

Fraction Navin gave his brother = 1/5

Remainder = 1 - 1/5

5/5 - 1/5 = 4/5

Fraction Navin gave his sister = 4/5 x 5/8 = 1/2

total amount Navin gave his siblings :

\frac{1}{5} + \frac{1}{2}

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5 0
3 years ago
y varies inversely with x. If y = 2.4 and k (the constant of variation) = 8.88, what is x? Round to the nearest tenth, if necess
Archy [21]

Answer:

3.7

Step-by-step explanation:

Inversely means we are taking the constant and dividing it.

So y varies inversely with x means "y=k/x".

k is a constant.  We can find the constant if they give us a point on this curve.

The constant is a number that doesn't change no matter your input and output.

y=\frac{k}{x}

So they actually give us k=8.88 and y=2.4 so let's input this:

2.4=\frac{8.88}{x}

We need to solve this equation for x.  You can do your favorite thing in cross-multiply. But how, Freckles?  Well just slap a 1 underneath that 2.4.  You can do that because 2.4/1 is still 2.4.

\frac{2.4}{1}=\frac{8.88}{x}

Cross-multiply:

2.4x=8.88(1)

2.4x=8.88

Divide both sides by 2.4:

x=\frac{8.88}{2.4}

x=3.7 when y=2.4.

8 0
4 years ago
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