On Monday, Florencia's hair was h centimeters long. She got a haircut on Tuesday, so her hair was only 75% of the length it was on Monday.Which of the following expressions could represent how many centimeters long Florencia's hair was after the haircut?Choose 2 answers:A h(1−0.75)B (1−(10075))hC (43)hD 0.75hE (41)h
Q. On Monday, Florencia's hair was h centimeters long. She got a haircut on Tuesday, so her hair was only 75% of the length it was on Monday.Which of the following expressions could represent how many centimeters long Florencia's hair was after the haircut?Choose 2 answers:A h(1−0.75)B (1−(10075))hC (43)hD 0.75hE (41)h
Understand 75% of Length: First, we need to understand that 75% of the original length means Florencia's hair is now three-quarters of what it was on Monday. To find 75% of a number, you can multiply the number by 0.75 or by the fraction43. Let's check each option to see which ones correctly represent 75% of h.
Check Option A: Option A is h(1−0.75). This means we are taking the full length h and subtracting 75% of h from it. This would give us 25% of h, not 75%.
Check Option B: Option B is (1−(10075))h. This simplifies to (1−0.75)h, which is the same as option A and would also give us 25% of h, not 75%.
Check Option C: Option C is (43)h. This means we are taking three-quarters of the original length h, which correctly represents 75% of h.
Check Option D: Option D is 0.75h. This means we are taking 75% of the original length h, which is the same as multiplying h by 0.75, and this correctly represents 75% of h.
Check Option E: Option E is (41)h. This means we are taking one-quarter of the original length h, which would represent 25% of h, not 75%.
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