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Sladkaya [172]
3 years ago
6

I thought of a number, added 3 2/7 to it, then I multiplied the result by 1 1/2 , and got

Mathematics
1 answer:
horsena [70]3 years ago
5 0

Answer:

\frac{25}{21}

Step-by-step explanation:

First let's convert the mixed numbers into improper fractions.

3\frac{2}{7}=\frac{23}{7}

1\frac{1}{2}=\frac{3}{2}

6\frac{5}{7}=\frac{47}{7}

Let the number be n, so we can write an equation from the word problem as:

(n+\frac{23}{7})*\frac{3}{2}=\frac{47}{7}

Now, we do algebra and solve for n:

(n+\frac{23}{7})*\frac{3}{2}=\frac{47}{7}\\\frac{3}{2}n+\frac{69}{14}=\frac{47}{7}\\\frac{3}{2}n=\frac{47}{7}-\frac{69}{14}\\\frac{3}{2}n=\frac{25}{14}\\n=\frac{\frac{25}{14}}{\frac{3}{2}}\\n=\frac{25}{14}*\frac{2}{3}\\n=\frac{50}{42}\\n=\frac{25}{21}

hence the number is 25/21

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What is the maximum volume in cubic inches of an open box to be made from a 12-inch by 16-inch piece of cardboard by cutting out
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2 years ago
Place is highest to lowest 3/4 84% 1/3 0.82
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ANSWER

84%,0.82,¾,⅓

EXPLANATION

Convert everything to decimals.

\frac{3}{4}  = 0.75

84\% = 0.84

\frac{1}{3}  = 0.333....

The last one is already in decimals.

0.82

We can now see clearly, that

0.84  \: > \:  0.82 \:  >  \: 0.75  \: >  \: 0.3333...

This implies that,

84\% \: > \:  0.82 \:  >  \:  \frac{3}{4}   \: >  \:  \frac{1}{3}

Hence from highest to least, we have

84%,0.82,¾,⅓

4 0
3 years ago
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