Jackie runs and dances for 75 minutes every day. She dances 25 minutes more than she runs.

Part C: What is the greatest amount of time she could spend dancing every day,
given she will take a run. Explain your reasoning.

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Ответ:

2019johnfranken

08.09.2020

Mathematics

Options:

(A)x = StartFraction 6 over 4 EndFraction

(B)x = Negative StartFraction 6 over 4 EndFraction

(C)x minus one-fourth = negative StartFraction 5 over 4 EndFraction

(D)x = negative three-halves

(E)x = negative three-fourths

(B)x = Negative StartFraction 6 over 4 EndFraction

$-\dfrac{6}{4}$

(D)x = negative three-halves

$-\dfrac{3}{2}$

Step-by-step explanation:

We want to determine which fraction is equivalent to

$\dfrac{1}{4}+x=-\dfrac{5}{4}\\$First, we collect like terms$\\x=-\dfrac{5}{4}-\dfrac{1}{4} \\\\=\dfrac{-5-1}{4}\\=-\dfrac{6}{4}\\x=-\dfrac{6}{4}$

This value of x is the result in Option B.

Reducing $-\dfrac{6}{4}$ to its lowest form:

$-\dfrac{6}{4}=-\dfrac{3}{2}$ which is Option D.

Therefore, the correct options are: B and D

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Jackie runs and dances for 75 minutes every day. She dances 25 minutes more than she runs. Part C: What is the greatest amount of time she could spend dancing every day, given she will take a run. Explain your reasoning.