When the smaller of two consecutive integers is added to two times the larger, the result is 17. Find the results.

Mathematics

1 answer:

GrogVix [38]3 years ago

4 0

Is it the answer 7 and 2

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Which expression is equivalent to -2 1/4÷ (-2/3)

Talja [164]

Answer:

$-2\dfrac{1}{4}\div\left(-\dfrac{2}{3}\right)=\dfrac{27}{8}=3\dfrac{3}{8}}$

Step-by-step explanation:

$-2\dfrac{1}{4}\div\left(-\dfrac{2}{3}\right)\qquad\text{the quotient of two negative numbers is positive}\\\\=2\dfrac{1}{4}\div\dfrac{2}{3}\qquad\text{convert the mixed number to the improper fraction}\\\\=\dfrac{2\cdot4+1}{4}\div\dfrac{2}{3}=\dfrac{9}{4}\div\dfrac{2}{3}\\\\\text{dividing by a fraction is the same as multiplying by its reciprocal.}\\\\=\dfrac{9}{4}\cdot\dfrac{3}{2}=\dfrac{9\cdot3}{4\cdot2}=\dfrac{27}{8}\qquad\text{convert to the mixed number}\\\\=3\dfrac{3}{8}$

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3 years ago

Natasha spent 1\dfrac121 2 1 1, start fraction, 1, divided by, 2, end fraction hours on the beach. She fell asleep for \dfrac3

Oksana_A [137]

Answer:

1 and 1/8 hours or

Step-by-step explanation:

Natasha spent one and a half hours on the beach, which can be rewritten as 3/2 hours. Out of that time, she spent 3/4 sleeping. The total time she spent sleeping on the beach is determined by the product of the amount of time she spent on the beach by the fraction of that time she spent asleep:

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Natasha was asleep on the beach for 1 and 1/8 hours or 1 hour 7 minutes and 30 seconds.

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3 years ago