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A middle school band as 29

as many band members as the high school band. The high school band has 502 members. About how many members are in the middle school band?(1 point)
Responses

390
390

45
45

112
112

645

11 answers

To find the number of members in the middle school band, we need to determine what "29 as many band members" means. It seems like there's a typo or misunderstanding in the phrasing. Assuming "29 as many" means the middle school band has 29 members, we might also interpret it differently based on the context if clear.

However, if we interpret it to mean the middle school band has 1/29th the number of high school band members, we can calculate it as follows:

  1. The high school band has 502 members.
  2. If the middle school band has 1/29th as many members, then: \[ \text{Middle School Band Members} = \frac{502}{29} \approx 17.31 \] Since the number of members must be an integer, we would round appropriately. However, none of the provided options fit this calculation.

If we assume the middle school band has 29 members, that contradicts the provided question.

To stay within the provided options, and considering a likely misunderstanding in phrasing, the next logical assumption based on the options (especially the significant lower and higher member count) might be as described:

If there's a different rule intended (like if "as many" somewhat implies a multiple), but none of those calculations yield exact matches, given your options:

  1. 390 could suggest a substantial band size but isn’t calculated based strictly on 502.
  2. If it’s actually regarding a fraction of high school, then reassessment would ideally be needed, yet strictly speaking with middle school's 29 not clear from the question.
  3. The option 112 appears plausible if some measures apply, but the terminology doesn't clarify it.

So depending on clarity, none exact your base questions within the bounds here. Please review wording for accuracy or exact multiplication intended.

Confirming your phrasing intention, is it more about ratio multiplication (i.e. what fraction), or just direct count? Please clarify to serve the most direct answer where your options apply.

A middle school band as 2/9
as many band members as the high school band. The high school band has 502 members. About how many members are in the middle school band?(1 point)
Responses

390
390

45
45

112
112

645

To find out how many members are in the middle school band, we can use the information given.

We know that the middle school band has \( \frac{2}{9} \) as many members as the high school band, which has 502 members.

To calculate the number of middle school band members, we multiply the high school band members by \( \frac{2}{9} \):

\[ \text{Middle School Band Members} = \frac{2}{9} \times 502 \]

Now we perform the calculation:

\[ \text{Middle School Band Members} = \frac{2 \times 502}{9} = \frac{1004}{9} \approx 111.56 \]

Since the number of band members must be a whole number, we round 111.56 to about 112.

Thus, the middle school band has approximately 112 members.

Among the options provided, the correct answer is:

112

Yesterday, Sarah spent 35 1/2
minutes studying for a test. Emma spent 1 1/2
times that amount studying for a different test. How many minutes did Emma spend studying?(1 point)
Responses

53 1/4
minutes
53 and 1 fourthminutes

49 1/2
minutes
49 and 1 halfminutes

71 minutes
71 minutes

93 1/2
minutes
93 and 1 halfminutes

73 1/4
minutes

To find out how many minutes Emma spent studying, we first need to determine how much time Sarah spent studying and then calculate 1.5 times that amount.

  1. Sarah spent \( 35 \frac{1}{2} \) minutes studying. This can be converted to an improper fraction: \[ 35 \frac{1}{2} = \frac{71}{2} \text{ minutes} \]

  2. To find out how much time Emma spent, we calculate \( 1 \frac{1}{2} \) times Sarah's studying time: \[ 1 \frac{1}{2} = \frac{3}{2} \]

  3. Now we multiply Sarah's study time by \( \frac{3}{2} \): \[ \text{Emma's Study Time} = \frac{3}{2} \times \frac{71}{2} = \frac{213}{4} \]

  4. Now, convert \( \frac{213}{4} \) into a mixed number: \[ \frac{213}{4} = 53 \frac{1}{4} \]

Thus, Emma spent 53 and 1/4 minutes studying.

The correct answer is:

53 1/4 minutes.

How many 4/3
pint servings are in 28/3
pints of milk?(1 point)
Responses

9 servings
9 servings

6 servings
6 servings

5 servings
5 servings

7 servings

To find out how many \( \frac{4}{3} \) pint servings are in \( \frac{28}{3} \) pints of milk, you can divide the total amount of milk by the size of each serving.

The calculation is as follows:

\[ \text{Number of servings} = \frac{\frac{28}{3}}{\frac{4}{3}} \]

When dividing fractions, you can multiply by the reciprocal:

\[ \text{Number of servings} = \frac{28}{3} \times \frac{3}{4} \]

Now, simplify the expression:

\[ \text{Number of servings} = \frac{28 \times 3}{3 \times 4} = \frac{28}{4} = 7 \]

Therefore, there are 7 servings of \( \frac{4}{3} \) pint servings in \( \frac{28}{3} \) pints of milk.

The correct answer is:

7 servings.

Twenty-four packets of sheet music are in a folder. If the chorus students decide to share 3/8
of the packets, how many did they share?(1 point)
Responses

12 packets
12 packets

9 packets
9 packets

8 packets
8 packets

18 packets

To find out how many packets of sheet music the chorus students shared, we can calculate \( \frac{3}{8} \) of the total 24 packets.

The calculation is as follows:

\[ \text{Packets shared} = \frac{3}{8} \times 24 \]

Now, we can perform the calculation:

\[ \text{Packets shared} = \frac{3 \times 24}{8} = \frac{72}{8} = 9 \]

Therefore, the chorus students shared 9 packets.

The correct answer is:

9 packets.

Celeste completed 5/6
of her science problems. Her mom checked 2/3
of the assignment. What fraction of the assignment did her mom check?(1 point)
Responses

1/6
1 sixth

5/9
5 ninths

5/4
5 fourths

1/3

To determine what fraction of the entire assignment Celeste's mom checked, we need to find \( \frac{2}{3} \) of the \( \frac{5}{6} \) of the assignment that Celeste completed.

We can calculate this by multiplying the two fractions:

\[ \text{Fraction checked} = \frac{2}{3} \times \frac{5}{6} \]

Now, perform the multiplication:

\[ \text{Fraction checked} = \frac{2 \times 5}{3 \times 6} = \frac{10}{18} \]

Next, we can simplify \( \frac{10}{18} \):

\[ \frac{10}{18} = \frac{5}{9} \]

Thus, the fraction of the assignment that Celeste's mom checked is \( \frac{5}{9} \).

The correct answer is:

5/9.