Question

Solve 2/3÷3/5 NOTE: There is a check answer button in the bottom right corner. Click this to check your answer before moving on to the next question. It will not tell you the correct answer, but it will tell you if the answer you selected is correct. You can use this feature once per question. (1 point) Responses 10/9 1 6/15 6 over 15 9/15 9 over 15 5/8 5 eighths

Answer 1

To solve the division of two fractions, you can multiply the first fraction by the reciprocal of the second fraction.

The expression \( \frac{2}{3} \div \frac{3}{5} \) can be rewritten as:

\[ \frac{2}{3} \times \frac{5}{3} \]

Now, multiply the numerators and the denominators:

\[ \frac{2 \times 5}{3 \times 3} = \frac{10}{9} \]

So, the answer is \( \frac{10}{9} \).

You can check to see if this answer is correct using the check answer feature.

Answer 2

Naysha listens to the radio for 56 of an hour each day. Which expressions represent the time Naysha spends listening to the radio in a 7-day period? Check the THREE that apply. NOTE: There is a check answer button in the bottom right corner. Click this to check your answer before moving on to the next question. It will not tell you the correct answer, but it will tell you if the answer you selected is correct. You can use this feature once per question. (3 points) Responses 7×56 7 times 5 sixths 356 35 sixths 126 12 sixths 7+56 7 plus 5 sixths 56+56+56+56+56+56+56 5 sixths plus 5 sixths plus 5 sixths plus 5 sixths plus 5 sixths plus 5 sixths plus 5 sixths

Answer 3

To find the time Naysha spends listening to the radio over a 7-day period, you need to multiply the time she listens each day by the number of days.

Given that Naysha listens for \( \frac{5}{6} \) of an hour each day, the total time over 7 days can be calculated as:

1. \( 7 \times \frac{5}{6} \) (This represents the daily time multiplied by the number of days)
2. \( 7 \times 56 \div 60 \) (This would convert the total hours into minutes if needed, though is not typically expressed this way)
3. \( \frac{35}{6} \) (This is the same as \( 7 \times \frac{5}{6} \) simplified)
4. \( 56 + 56 + 56 + 56 + 56 + 56 + 56 \) (This adds the listening time for each day individually)

Let's evaluate the options provided:

1. 7 × 56 - This does not apply since it treats 56 as full hours instead of fractions.
2. 7 times 5 sixths - This applies, as it correctly represents the daily listening time multiplied by 7.
3. 356 - This does not apply; it doesn't represent time.
4. 35 sixths - This applies, as it's the simplified form of the total time over 7 days.
5. 126 - This does not apply; it doesn't represent time.
6. 7 + 56 - This does not apply; it's not the correct operation.
7. 56 + 56 + 56 + 56 + 56 + 56 + 56 - This applies, as it correctly sums the time for each day.
8. 5 sixths plus 5 sixths plus 5 sixths plus 5 sixths plus 5 sixths plus 5 sixths plus 5 sixths - This applies as it correctly adds the daily time across 7 days.

The three expressions that correctly represent the time Naysha spends listening to the radio in a 7-day period are:

• 7 times 5 sixths
• 35 sixths
• 56 + 56 + 56 + 56 + 56 + 56 + 56

You can check your selections with the check answer feature.

Answer 4

An art teacher buys 4 packs of oil paints. Each pack contains 18 tubes of paint. Which equations represent the total number of tubes of paint the teacher bought? Check the TWO that apply. NOTE: There is a check answer button in the bottom right corner. Click this to check your answer before moving on to the next question. It will not tell you the correct answer, but it will tell you if the answer you selected is correct. You can use this feature once per question. (2 points) Responses 18+4=22 18 plus 4 is equal to 22 18+18+18+18=72 18 plus 18 plus 18 plus 18 is equal to 72 4×18=72 4 times 18 is equal to 72 22−4=18 22 minus 4 is equal to 18

Answer 5

To find the total number of tubes of paint the teacher bought, you can use multiplication to calculate the total number of tubes in 4 packs with 18 tubes each.

The correct equations to represent this calculation are:

1. \( 4 \times 18 = 72 \) - This accurately calculates the total number of tubes.
2. \( 18 + 18 + 18 + 18 = 72 \) - This also correctly sums the number of tubes in each pack.

Now let's evaluate the given options:

1. \( 18 + 4 = 22 \) - This does not apply, as it's not related to the total number of tubes.
2. \( 18 + 18 + 18 + 18 = 72 \) - This applies, as it correctly sums the tubes.
3. \( 4 \times 18 = 72 \) - This applies, as it correctly represents the total in multiplication form.
4. \( 22 - 4 = 18 \) - This does not apply, as it's irrelevant to the total number of tubes.

The two equations that represent the total number of tubes of paint the teacher bought are:

• \( 18 + 18 + 18 + 18 = 72 \)
• \( 4 \times 18 = 72 \)

You can check your selections with the check answer feature.