Answer :
Sure! Let's solve each part of the question step by step.
### 3. Which statement describes the value of the expression [tex]\( 67 \times \frac{1}{6} \)[/tex]?
To solve this, we calculate the expression:
- Multiply 67 by [tex]\(\frac{1}{6}\)[/tex].
- This gives [tex]\( 67 \times \frac{1}{6} = \frac{67}{6} \)[/tex].
Now we know [tex]\(\frac{67}{6}\)[/tex] is a division operation, which will result in a value less than 67 because you are dividing 67 into 6 parts.
So, the statement that accurately describes this value is:
- A. The value is less than 67.
### 4. Which expression is equivalent to [tex]\( 5 \times \frac{3}{4} \)[/tex]?
To solve this, we consider the meaning of multiplication here:
- [tex]\(5 \times \frac{3}{4}\)[/tex] means we add [tex]\(\frac{3}{4}\)[/tex] five times.
This is equivalent to:
- [tex]\(\frac{3}{4} + \frac{3}{4} + \frac{3}{4} + \frac{3}{4} + \frac{3}{4}\)[/tex].
The equivalent expression is:
- C. [tex]\(\frac{3}{4} + \frac{3}{4} + \frac{3}{4} + \frac{3}{4} + \frac{3}{4}\)[/tex]
### 7. What is the weight, in ounces, of the winning pumpkin weighing 2,050 pounds?
To convert pounds to ounces:
- We use the conversion factor that 1 pound equals 16 ounces.
- Therefore, 2,050 pounds converted to ounces is [tex]\( 2,050 \times 16 \)[/tex].
This calculates to:
- D. 32,800 ounces.
### 8. How many bags of grapes had a weight of [tex]\(\frac{3}{8}\)[/tex] pound or less, and what was their total weight?
Assuming weights of bags in a dataset are provided, to find bags weighing [tex]\(\frac{3}{8}\)[/tex] pound or less:
- We list the weights and count those that are equal to or less than [tex]\(\frac{3}{8}\)[/tex].
For example, if the weights are [tex]\(\frac{1}{8}, \frac{1}{8}, \frac{1}{8}, \frac{2}{8}, \frac{2}{8}, \frac{3}{8}, \frac{3}{8}, \frac{3}{8}\)[/tex]:
- The bags that weigh [tex]\(\frac{3}{8}\)[/tex] pound or less are all of them in the list above.
The number of such bags:
- 8 bags.
Their total weight is the sum of these individual weights:
- 2.0 pounds.
These step-by-step results give us a clear understanding of each part of the question.
### 3. Which statement describes the value of the expression [tex]\( 67 \times \frac{1}{6} \)[/tex]?
To solve this, we calculate the expression:
- Multiply 67 by [tex]\(\frac{1}{6}\)[/tex].
- This gives [tex]\( 67 \times \frac{1}{6} = \frac{67}{6} \)[/tex].
Now we know [tex]\(\frac{67}{6}\)[/tex] is a division operation, which will result in a value less than 67 because you are dividing 67 into 6 parts.
So, the statement that accurately describes this value is:
- A. The value is less than 67.
### 4. Which expression is equivalent to [tex]\( 5 \times \frac{3}{4} \)[/tex]?
To solve this, we consider the meaning of multiplication here:
- [tex]\(5 \times \frac{3}{4}\)[/tex] means we add [tex]\(\frac{3}{4}\)[/tex] five times.
This is equivalent to:
- [tex]\(\frac{3}{4} + \frac{3}{4} + \frac{3}{4} + \frac{3}{4} + \frac{3}{4}\)[/tex].
The equivalent expression is:
- C. [tex]\(\frac{3}{4} + \frac{3}{4} + \frac{3}{4} + \frac{3}{4} + \frac{3}{4}\)[/tex]
### 7. What is the weight, in ounces, of the winning pumpkin weighing 2,050 pounds?
To convert pounds to ounces:
- We use the conversion factor that 1 pound equals 16 ounces.
- Therefore, 2,050 pounds converted to ounces is [tex]\( 2,050 \times 16 \)[/tex].
This calculates to:
- D. 32,800 ounces.
### 8. How many bags of grapes had a weight of [tex]\(\frac{3}{8}\)[/tex] pound or less, and what was their total weight?
Assuming weights of bags in a dataset are provided, to find bags weighing [tex]\(\frac{3}{8}\)[/tex] pound or less:
- We list the weights and count those that are equal to or less than [tex]\(\frac{3}{8}\)[/tex].
For example, if the weights are [tex]\(\frac{1}{8}, \frac{1}{8}, \frac{1}{8}, \frac{2}{8}, \frac{2}{8}, \frac{3}{8}, \frac{3}{8}, \frac{3}{8}\)[/tex]:
- The bags that weigh [tex]\(\frac{3}{8}\)[/tex] pound or less are all of them in the list above.
The number of such bags:
- 8 bags.
Their total weight is the sum of these individual weights:
- 2.0 pounds.
These step-by-step results give us a clear understanding of each part of the question.
