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Naily [24]
2 years ago
11

Ben jogged 4 and 1/2 miles in 1 and 1/4 hours at a constant rate. How far did Ben jog in one hour? *

Mathematics
1 answer:
Mrac [35]2 years ago
7 0

let's firstly convert the mixed fractions to improper fractions and then proceed.

\stackrel{mixed}{4\frac{1}{2}}\implies \cfrac{4\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{9}{2}}~\hfill \stackrel{mixed}{1\frac{1}{4}}\implies \cfrac{1\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{5}{4}} \\\\[-0.35em] ~\dotfill

\begin{array}{ccll} miles&hours\\ \cline{1-2} \frac{9}{2}&\frac{5}{4}\\[1em] x&1 \end{array}\implies \cfrac{~~ \frac{9}{2}~~}{x}=\cfrac{~~ \frac{5}{4}~~}{1}\implies \cfrac{~~ \frac{9}{2}~~}{\frac{x}{1}}=\cfrac{5}{4}\implies \cfrac{9}{2}\cdot \cfrac{1}{x}=\cfrac{5}{4} \\\\\\ \cfrac{9}{2x}=\cfrac{5}{4}\implies 36=10x\implies \cfrac{36}{10}=x\implies \cfrac{18}{5}=x\implies 3\frac{3}{5}=x

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xeze [42]

Answer:

She can only make 5/6 of her recipe with the amount of milk that she has.

Step-by-step explanation:

Some data of this problem is missing, the data missing is:

Her recipe calls for 3/4 of a pint of milk and she only has 5/8 of a pint of milk.

Now, to know what's the portion she can do with that amount we need to divide the amount of milk she has by the total amount she needs:

\frac{5}{8} ÷\frac{3}{4}

When we divide we turn the second fraction upside down (the numerator becomes the denominator and viceversa) and multiply, thus:

\frac{5}{8}÷\frac{3}{4}=\frac{5}{8}×\frac{4}{3} =\frac{20}{24}

If we simplify this last expression we have:

\frac{20}{24}=\frac{10}{12}  =\frac{5}{6}

Thus, she can only make 5/6 of her recipe with the amount of milk that she has.

<em>Note: In case the data missing is different, you can apply this same procedure with the fractions you have. </em>

6 0
3 years ago
I'm really confused, can you please help me
Anika [276]

Answer: y=8

Step-by-step explanation:

Since DF is bisected, it means but in half. This means DU and UF are equal in length. We can set them equal to each other to find y.

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4 0
3 years ago
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Answer:

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

First add 11 then -69

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