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grandymaker [24]
3 years ago
10

12) Cut the Pumpkin Pie into slices 1/2, 1/4, 1/8, 1/16, 1/32, I need help

Mathematics
1 answer:
soldi70 [24.7K]3 years ago
5 0

Answer:

1/64, 1/128, 1/256

Step-by-step explanation:

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Julian walked 6/10 of a mile to his friends house and another 35/100 mile to the store. He walked 1/4 of a mile back home. Julia
AveGali [126]

The statement, "Julian's sister said he walked 1/5 mile" cannot be agreed because Julian totally walked 1\frac{1}{5} \text{ or } \frac{6}{5} miles.

<u>Solution:</u>  

Given that,

  • Julian walked 6/10 of a mile to his friends house
  • Another 35/100 mile to the store
  • He walked 1/4 of a mile back home

To find total distance walked by Julian we have to add the above stated values. That is, \frac{6}{10} +\frac{35}{100} +\frac{1}{4}

Factors of 10 = 5\times2

Factors of 100 = 5\times2\times5\times2

Factors of 4 = 2\times2

Therefore, the least common factor of 10, 100 and 4 is 100. With like denominators we can operate on just the numerators,

\frac{6\times10}{10\times10} +\frac{35\times1}{100\times1} +\frac{1\times25}{4\times1}\rightarrow\frac{60+35+25}{100}\rightarrow\frac{120}{100}

\Rightarrow\frac{120}{100}\rightarrow\frac{6}{5}

Which can also be written as 1\frac{1}{5}.

So, from the above calculation it can be said that Julian walked 1\frac{1}{5} \text{ miles }.

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3 years ago
Find m∠1 if m∠2=73°, m∠3=107°, m∠4=92°. Justify your response!
a_sh-v [17]

Answer:

m∠1 = 92°

Step-by-step explanation:

∠2 corresponds to the supplement of ∠3 if (and only if) lines a and b are parallel. We find that

m∠2 + m∠3 = 73° +107° = 180°

so, the angles are supplementary and lines a and b are parallel.

Angles 4 and 1 are corresponding angles where the line d crosses the parallel lines a and b, so are congruent.

m∠1 = m∠4 = 92°

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Step-by-step explanation:

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Step-by-step explanation:

500 * 1.2 = $600 after 20% pay raise

600 * .95 = $570 after 5% pay cut

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