Solve for base in the problem. Round to the nearest hundredth, if necessary.
-41 yards is .69% of yards.

Question

Quizplus · Accepted Answer

Let's use the formula for percentage:

part/whole = percent/100

where:
part = 41 yards (the given value)
percent = 0.69% (the percentage given in decimal form)
whole = the base we are looking for (what we want to find)

Substituting the values:

41/whole = 0.0069

Multiplying both sides by the base:

whole = 41/0.0069

Simplifying:

whole ≈ 5942.03

So the base (the number of yards) is approximately 5942.03 yards. Rounded to the nearest hundredth, the answer is D: 5,942.03. Let's use algebra to solve for the base:

0.69% of yards = 41
0.69% of y = 41       (we substitute yards with y for simplicity)
0.0069y = 41         (0.69% as decimal form)
y = 41/0.0069
y ≈ 5942.03

Therefore, the base (yards) is approximately 5,942.03, which is closest to answer choice D.

Solve for Base in the Problem