Question 1 of 5
Sam went to the store to buy 5 candy bars that each cost $0.97, and 2 pounds of deli meat that costs $1.48 per pound. He paid with a $10 bill. How much change will Sam receive?
Why: Cost of candy bars: \( 5 \times 0.97 = 4.85 \)
Cost of deli meat: \( 2 \times 1.48 = 2.96 \)
Total cost: \( 4.85 + 2.96 = 7.81 \)
Change: \( 10.00 - 7.81 = 2.19 \)
Wait, let me recalculate accurately: 5 candy bars = \( 5 \times 0.97 = 4.85 \), meat = \( 2 \times 1.48 = 2.96 \), total = 7.81, change = \( 10 - 7.81 = 2.19 \). Corrected answer: 2.19.
Question 2 of 5
Alex plays video games after school each day. She played 1.5 hours on Monday, 3 hours on Tuesday, 2.6 hours on Wednesday, and 1.4 hours each day on Thursday and Friday. She also played 5 hours each day on the weekends. How many hours total did Alex play this week?
Why: Weekdays:
Monday: 1.5
Tuesday: 3.0
Wednesday: 2.6
Thursday: 1.4
Friday: 1.4
Weekday total: \( 1.5 + 3.0 + 2.6 + 1.4 + 1.4 = 10.0 \)
Weekends: 2 days × 5 = 10
Total: \( 10.0 + 10 = 20.0 \) Wait, recalculate weekdays: 1.5+3=4.5, +2.6=7.1, +1.4=8.5, +1.4=9.9 hours weekdays + 10 weekends = 19.9 hours. But typically these round or exact. Assuming precise: total 19.9 hours.
Question 3 of 5
Convert the repeating decimal \( 0.\overline{3} \) to a fraction in simplest form.
Why: Let \( x = 0.\overline{3} \).
Multiply by 10: \( 10x = 3.\overline{3} \).
Subtract: \( 10x - x = 3.\overline{3} - 0.\overline{3} \)
\( 9x = 3 \)
\( x = \frac{3}{9} = \frac{1}{3} \).
Thus, \( 0.\overline{3} = \frac{1}{3} \).
Question 4 of 5
Which of the following shows the correct conversion of 2.4 to a mixed fraction?
A) \( 2\frac{1}{5} \)
B) \( 2\frac{2}{5} \)
C) \( 2\frac{3}{5} \)
D) \( 2\frac{4}{5} \)
A
\( 2\frac{1}{5} \)
B
\( 2\frac{2}{5} \)
C
\( 2\frac{3}{5} \)
D
\( 2\frac{4}{5} \)
Why: For decimal 2.4, consider 0.4 part: \( \frac{0.4}{1} \).
One decimal place, multiply numerator and denominator by 10: \( \frac{4}{10} = \frac{2}{5} \).
Thus, \( 2\frac{2}{5} \). Option B matches.
Question 5 of 5
If Jason's gas tank can hold 18 gallons and he's currently at \( \frac{1}{8} \) of a tank, how many gallons of gas does he have remaining?
Why: Full tank = 18 gallons.
Current: \( \frac{1}{8} \) of 18 = \( 18 \div 8 = 2.25 \) gallons remaining.
