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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-(75)/(100))h
(C)(3)/(4)h
(D) 0.75 h
(E) (1)/(4)h

On Monday, Florencia's hair was hh centimeters long. She got a haircut on Tuesday, so her hair was only 75%75\% of the length it was on Monday.\newlineWhich of the following expressions could represent how many centimeters long Florencia's hair was after the haircut?\newlineChoose 22 answers:\newline(A) h(10.75)h(1-0.75)\newline(B) (175100)h(1-\frac{75}{100})h \newline (C) 34h\frac{3}{4}h\newline(D) 0.75h0.75 h\newline(E) 14h\frac{1}{4}h

Full solution

Q. On Monday, Florencia's hair was hh centimeters long. She got a haircut on Tuesday, so her hair was only 75%75\% of the length it was on Monday.\newlineWhich of the following expressions could represent how many centimeters long Florencia's hair was after the haircut?\newlineChoose 22 answers:\newline(A) h(10.75)h(1-0.75)\newline(B) (175100)h(1-\frac{75}{100})h \newline (C) 34h\frac{3}{4}h\newline(D) 0.75h0.75 h\newline(E) 14h\frac{1}{4}h
  1. Understand 7575% Calculation: First, we need to understand that 75%75\% of the original length means we are looking for an expression that multiplies the original length hh by 0.750.75 or by the fraction equivalent of 75%75\%, which is 75100\frac{75}{100} or 34\frac{3}{4}.
  2. Evaluate Option A: Now let's evaluate each option:\newlineA. h(10.75)h(1-0.75) simplifies to h(0.25)h(0.25) or h4\frac{h}{4}, which represents 25%25\% of the original length, not 75%75\%.
  3. Evaluate Option B: B. (1(75100))h(1-(\frac{75}{100}))h simplifies to (10.75)h(1-0.75)h which is the same as h(0.25)h(0.25) or h4\frac{h}{4}, again representing 25%25\% of the original length, not 75%75\%.
  4. Evaluate Option C: C. 34h\frac{3}{4}h is the same as 0.75h0.75h, which correctly represents 75%75\% of the original length.
  5. Evaluate Option D: D. 0.75h0.75h directly represents 75%75\% of the original length, which is correct.
  6. Evaluate Option E: E. (1)/(4)h(1)/(4)h is the same as h/4h/4 or h(0.25)h(0.25), which represents 25%25\% of the original length, not 75%75\%.

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