Answer: To remove fractions prior to solving, each term in the equation must be multiplied by
.
Step-by-step explanation:
Consider the given expression:

It is essential to simplify this before attempting to solve it.
Since the denominators differ, identifying the Least Common Denominator (LCD) is necessary.
Break down the denominators into their prime components:

Select
, as it possesses the greatest exponent. Thus:

Ultimately, to remove the fractions before solving, multiply both sides by 4:

Option B is correct, expressed as 8(25 + x) > 500; solving for x gives x > 37.50
Answer:
A scale transformation that contracts and is subsequently followed by a reflection.
Step-by-step explanation:
A contraction with a scale factor less than 1, followed by a reflection, constitutes the combination of similarity transformations that maps polygon ABCD to polygon A'B'C'D.
Response:
Her brother catches up to her at 11 am + 4 hours = 15 p.m
Detailed explanation:
Provided information;
Ariel's speed = 45 mph
She departed at 9 a.m
Her brother's speed = 60 mph
He began at 11 a.m
Inferred from the question: Since Ariel's speed is 45 mph, after two hours she is ahead by 90 miles.
Meanwhile, her brother travels at 60 mph, hence he is traveling (60 - 45) = 15 mph faster
Therefore, with this speed, he will catch up to her in
= 4 hours.
So her brother catches up with her at 11 am + 4 hours = 15 p.m