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Jasmine asked her classmates to name all the types of birds they found on a field trip to a local aviary. 1/8 reported finding...Asked by _behindyou_
Jasmine asked her classmates to name all the types of birds they found on a field trip to a local aviary. 1/8 reported finding a blue jay. 6/7 reported finding a finch. 1/3 reported finding a blackbird. 11/24 reported finding an owl. Based on the results, determine which statements are true and which statements are false. (5 points) True or False
Over half the students found a finch. More students found a blackbird than a finch. More students found a blue jay than an owl. More students found a finch than a blackbird. More students found a blackbird than an owl.
Over half the students found a finch. More students found a blackbird than a finch. More students found a blue jay than an owl. More students found a finch than a blackbird. More students found a blackbird than an owl.
Answers
Answered by
_behindyou_
Paul has 106 collectible coins. His friend gave him 12 coins for his collection for his birthday. How many coins does Paul have after he received coins from his friend?(1 point) Responses 118 coins 118 coins 12 coins 12 coins 226 coins 226 coins 94 coins
Answered by
_behindyou_
What is the result of subtracting 175 from 300?(1 point) Responses -125 -125 205 205 225 225 125
Answered by
_behindyou_
Jake makes $12 per hour working at the local gym. In one week, he works 33 hours. How much money did Jake make that week?(1 point) Responses $342 $342 $45 $45 $396 $396 $72
Answered by
_behindyou_
What is the quotient? 4284 รท 4 (1 point) Responses 171 171 1,070 R1 1,070 R1 1,071 1,071 171 R4
Answered by
_behindyou_
Drake found the sum of 234 and 75 to be 984. What error did he make? (1 point) Responses Drake multiplied the numbers instead of adding them. Drake multiplied the numbers instead of adding them. Drake added 234 and 57 by mistake. Drake added 234 and 57 by mistake. Drake did not align the digits by their place value when he set up the problem. Drake did not align the digits by their place value when he set up the problem. Drake did not regroup correctly after adding the ones digits.
Answered by
GPT-4o mini
To determine which statements are true or false, we must analyze the fractions given for each type of bird in relation to a common denominator. The given fractions are:
- Blue jay: \( \frac{1}{8} \)
- Finch: \( \frac{6}{7} \)
- Blackbird: \( \frac{1}{3} \)
- Owl: \( \frac{11}{24} \)
To compare these fractions, it's helpful to convert them to have a common denominator. The least common multiple (LCM) of the denominators \( 8, 7, 3, \) and \( 24 \) is \( 168 \).
Now we convert each fraction:
1. **Blue Jay**:
\[
\frac{1}{8} = \frac{21}{168}
\]
2. **Finch**:
\[
\frac{6}{7} = \frac{144}{168}
\]
3. **Blackbird**:
\[
\frac{1}{3} = \frac{56}{168}
\]
4. **Owl**:
\[
\frac{11}{24} = \frac{77}{168}
\]
Now, we compare the converted fractions:
- Blue Jay: \( 21/168 \)
- Finch: \( 144/168 \)
- Blackbird: \( 56/168 \)
- Owl: \( 77/168 \)
Now let's analyze each statement:
1. **Over half the students found a finch**:
- True, since \( \frac{144}{168} \) is greater than \( \frac{84}{168} \) (which is half).
2. **More students found a blackbird than a finch**:
- False, since \( 56/168 < 144/168 \).
3. **More students found a blue jay than an owl**:
- False, since \( 21/168 < 77/168 \).
4. **More students found a finch than a blackbird**:
- True, since \( 144/168 > 56/168 \).
5. **More students found a blackbird than an owl**:
- False, since \( 56/168 < 77/168 \).
### Final Assessment:
1. **Over half the students found a finch** - True
2. **More students found a blackbird than a finch** - False
3. **More students found a blue jay than an owl** - False
4. **More students found a finch than a blackbird** - True
5. **More students found a blackbird than an owl** - False
- Blue jay: \( \frac{1}{8} \)
- Finch: \( \frac{6}{7} \)
- Blackbird: \( \frac{1}{3} \)
- Owl: \( \frac{11}{24} \)
To compare these fractions, it's helpful to convert them to have a common denominator. The least common multiple (LCM) of the denominators \( 8, 7, 3, \) and \( 24 \) is \( 168 \).
Now we convert each fraction:
1. **Blue Jay**:
\[
\frac{1}{8} = \frac{21}{168}
\]
2. **Finch**:
\[
\frac{6}{7} = \frac{144}{168}
\]
3. **Blackbird**:
\[
\frac{1}{3} = \frac{56}{168}
\]
4. **Owl**:
\[
\frac{11}{24} = \frac{77}{168}
\]
Now, we compare the converted fractions:
- Blue Jay: \( 21/168 \)
- Finch: \( 144/168 \)
- Blackbird: \( 56/168 \)
- Owl: \( 77/168 \)
Now let's analyze each statement:
1. **Over half the students found a finch**:
- True, since \( \frac{144}{168} \) is greater than \( \frac{84}{168} \) (which is half).
2. **More students found a blackbird than a finch**:
- False, since \( 56/168 < 144/168 \).
3. **More students found a blue jay than an owl**:
- False, since \( 21/168 < 77/168 \).
4. **More students found a finch than a blackbird**:
- True, since \( 144/168 > 56/168 \).
5. **More students found a blackbird than an owl**:
- False, since \( 56/168 < 77/168 \).
### Final Assessment:
1. **Over half the students found a finch** - True
2. **More students found a blackbird than a finch** - False
3. **More students found a blue jay than an owl** - False
4. **More students found a finch than a blackbird** - True
5. **More students found a blackbird than an owl** - False
Answered by
GPT-4o mini
To find out how many coins Paul has after receiving coins from his friend, we simply add the number of coins he had originally to the number of coins given to him by his friend.
Paul originally has 106 coins, and his friend gave him 12 more coins:
\[
106 + 12 = 118
\]
So, after receiving the coins, Paul has **118 coins**.
Therefore, the correct response is **118 coins**.
Paul originally has 106 coins, and his friend gave him 12 more coins:
\[
106 + 12 = 118
\]
So, after receiving the coins, Paul has **118 coins**.
Therefore, the correct response is **118 coins**.
Answered by
GPT-4o mini
To find the result of subtracting 175 from 300, you perform the following calculation:
\[
300 - 175 = 125
\]
Therefore, the result of subtracting 175 from 300 is **125**.
The correct response is **125**.
\[
300 - 175 = 125
\]
Therefore, the result of subtracting 175 from 300 is **125**.
The correct response is **125**.
Answered by
GPT-4o mini
To calculate how much money Jake made in one week, multiply his hourly wage by the number of hours he worked:
\[
\text{Total Earnings} = \text{Hourly Wage} \times \text{Hours Worked}
\]
Given that Jake makes $12 per hour and he worked 33 hours:
\[
\text{Total Earnings} = 12 \, \text{dollars/hour} \times 33 \, \text{hours} = 396 \, \text{dollars}
\]
Therefore, Jake made **$396** that week.
The correct response is **$396**.
\[
\text{Total Earnings} = \text{Hourly Wage} \times \text{Hours Worked}
\]
Given that Jake makes $12 per hour and he worked 33 hours:
\[
\text{Total Earnings} = 12 \, \text{dollars/hour} \times 33 \, \text{hours} = 396 \, \text{dollars}
\]
Therefore, Jake made **$396** that week.
The correct response is **$396**.
Answered by
GPT-4o mini
To find the quotient of \( 4284 \div 4 \), we perform the division:
\[
4284 \div 4 = 1071
\]
Since there is no remainder in this calculation, the result is simply \( 1071 \).
Thus, the correct response is **1,071**.
\[
4284 \div 4 = 1071
\]
Since there is no remainder in this calculation, the result is simply \( 1071 \).
Thus, the correct response is **1,071**.
Answered by
GPT-4o mini
To verify the correctness of Drake's addition of 234 and 75, let's calculate the sum correctly:
\[
234 + 75
\]
Aligning the numbers by their place values:
```
234
+ 75
-----
```
Adding each column from right to left:
1. **Ones digit**: \( 4 + 5 = 9 \)
2. **Tens digit**: \( 3 + 7 = 10 \) (write down 0 and carry over 1)
3. **Hundreds digit**: \( 2 + 1 = 3 \) (including the carry from the previous addition)
Putting it all together, we get:
```
234
+ 75
-----
309
```
Thus, the correct sum of 234 and 75 is **309**, not **984**.
Considering the responses provided, the most likely error Drake made is:
**Drake added 234 and 57 by mistake.**
The correct option indicates that he likely added the wrong numbers, as the sum provided is unrelated to 234 and 75. Therefore, the statement aligns with the evidence that the numbers were not added correctly, although the phrasing about "57" could imply misunderstanding. However, since the other options do not fit the situation accurately, this remains the best assumption.
\[
234 + 75
\]
Aligning the numbers by their place values:
```
234
+ 75
-----
```
Adding each column from right to left:
1. **Ones digit**: \( 4 + 5 = 9 \)
2. **Tens digit**: \( 3 + 7 = 10 \) (write down 0 and carry over 1)
3. **Hundreds digit**: \( 2 + 1 = 3 \) (including the carry from the previous addition)
Putting it all together, we get:
```
234
+ 75
-----
309
```
Thus, the correct sum of 234 and 75 is **309**, not **984**.
Considering the responses provided, the most likely error Drake made is:
**Drake added 234 and 57 by mistake.**
The correct option indicates that he likely added the wrong numbers, as the sum provided is unrelated to 234 and 75. Therefore, the statement aligns with the evidence that the numbers were not added correctly, although the phrasing about "57" could imply misunderstanding. However, since the other options do not fit the situation accurately, this remains the best assumption.
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