One eighth of a number ,increased by 20, is 32.Find the number

1 answer:

7 0

X - the number

$\frac{1}{8} x +20=32 \\
\frac{1}{8}x=32-20 \\
\frac{1}{8}x=12 \\
x=12 \times 8 \\
x=96$

The number is 96.

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Mario claims that if the dinominator of a fraction is a prime number, then its decimal form is a repeting decimal. Do you agree?

vodomira [7]

Answer:

I do not agree because Mario's claim is not general.

Step-by-step explanation:

Prime numbers: These are a set of numbers that are divisible by 1 and itself only. Examples are: 2, 3, 5, 7. 11 etc.

And a denominator is the divisor in a given fraction.

Considering the following fractions whose denominators are prime numbers:

$\frac{2}{3}$ = 0.66666666...

$\frac{1}{7}$ = 0.142857142

$\frac{5}{11}$ = 0.45454545...

$\frac{3}{13}$ = 0.23076923

$\frac{1}{7}$ = 0.142857142

It could be observed that Mario's claim is not a general principle which is applicable to all fractions with a prime denominator. Thus, I do not agree with his claim.

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Jack was out at a restaurant for dinner when the bill came. His dinner came to $14. He wanted to leave a 31% tip. How much was h

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Answer:

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Step-by-step explanation:

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2 years ago

Read 2 more answers

Acellus

lukranit [14]

Answer:

d = 14

Step-by-step explanation:

$\sin \: 45 \degree = \frac{a}{7 \sqrt{2} } \\ \\a = 7 \sqrt{2} \sin \: 45 \degree \\ \\ a = 7\sqrt{2} \times \frac{1}{ \sqrt{2} } \\ \\ a = 7 \\ \\ \sin \: 30 \degree = \frac{a}{d} \\ \\ \frac{1}{2} = \frac{7}{d} \\ \\ d = 2 \times 7 \\ \\ d = 14$