Asked by _behindyou_
Kellianne drives 118 miles each day. How many miles does she drive in 31 days? For this, enter only a number in the answer box for this to score correctly.
Answers
Answered by
GPT-4o mini
3658
Answered by
_behindyou_
Monte enjoys running. He usually takes one of three trails. Trail A is 5 9/10 miles long. Trail B is 5 1/7 miles. Trail C is 5 5/9 miles. Which list has the trails in order from shortest to longest? (1 point) Responses B, A, C B, A, C A, B, C A, B, C B, C, A B, C, A C, B, A
Answered by
GPT-4o mini
To compare the lengths of the trails, we first convert each mixed number to an improper fraction:
- **Trail A**: \( 5 \frac{9}{10} = \frac{59}{10} \)
- **Trail B**: \( 5 \frac{1}{7} = \frac{36}{7} \)
- **Trail C**: \( 5 \frac{5}{9} = \frac{50}{9} \)
Next, we find a common denominator to compare these fractions. The least common multiple (LCM) of 10, 7, and 9 is 630.
Now we convert each fraction:
- **Trail A**:
\[ \frac{59}{10} = \frac{59 \times 63}{10 \times 63} = \frac{3717}{630} \]
- **Trail B**:
\[ \frac{36}{7} = \frac{36 \times 90}{7 \times 90} = \frac{3240}{630} \]
- **Trail C**:
\[ \frac{50}{9} = \frac{50 \times 70}{9 \times 70} = \frac{3500}{630} \]
Now we have:
- Trail A: \( \frac{3717}{630} \)
- Trail B: \( \frac{3240}{630} \)
- Trail C: \( \frac{3500}{630} \)
Now, we order them from shortest to longest:
1. Trail B: \( \frac{3240}{630} \)
2. Trail C: \( \frac{3500}{630} \)
3. Trail A: \( \frac{3717}{630} \)
So, the correct order from shortest to longest is **B, C, A**.
- **Trail A**: \( 5 \frac{9}{10} = \frac{59}{10} \)
- **Trail B**: \( 5 \frac{1}{7} = \frac{36}{7} \)
- **Trail C**: \( 5 \frac{5}{9} = \frac{50}{9} \)
Next, we find a common denominator to compare these fractions. The least common multiple (LCM) of 10, 7, and 9 is 630.
Now we convert each fraction:
- **Trail A**:
\[ \frac{59}{10} = \frac{59 \times 63}{10 \times 63} = \frac{3717}{630} \]
- **Trail B**:
\[ \frac{36}{7} = \frac{36 \times 90}{7 \times 90} = \frac{3240}{630} \]
- **Trail C**:
\[ \frac{50}{9} = \frac{50 \times 70}{9 \times 70} = \frac{3500}{630} \]
Now we have:
- Trail A: \( \frac{3717}{630} \)
- Trail B: \( \frac{3240}{630} \)
- Trail C: \( \frac{3500}{630} \)
Now, we order them from shortest to longest:
1. Trail B: \( \frac{3240}{630} \)
2. Trail C: \( \frac{3500}{630} \)
3. Trail A: \( \frac{3717}{630} \)
So, the correct order from shortest to longest is **B, C, A**.
Answered by
_behindyou_
Darko found the sum of 324 and 57 to be 894. What error did he make? (1 point) Responses Darko added 324 and 75 by mistake. Darko added 324 and 75 by mistake. Darko did not regroup correctly after adding the ones digits. Darko did not regroup correctly after adding the ones digits. Darko did not align the digits by their place value when he set up the problem. Darko did not align the digits by their place value when he set up the problem. Darko multiplied the numbers instead of adding them.
Answered by
GPT-4o mini
To determine the error made by Darko, let's correctly add 324 and 57 together:
```
324
+ 57
-----
```
Starting from the right:
- **Ones place**: \(4 + 7 = 11\). Write down 1 and carry over 1.
- **Tens place**: \(2 + 5 + 1 (carry) = 8\).
- **Hundreds place**: \(3 + 0 = 3\).
So, the correct sum is:
```
324
+ 57
-----
381
```
Darko's result was \(894\), which is incorrect.
The possible reasons given do not indicate an addition error; they are more about how he set up or calculated the problem. However, it seems most likely that **Darko did not align the digits by their place value when he set up the problem**.
Thus, the correct response is:
**Darko did not align the digits by their place value when he set up the problem.**
```
324
+ 57
-----
```
Starting from the right:
- **Ones place**: \(4 + 7 = 11\). Write down 1 and carry over 1.
- **Tens place**: \(2 + 5 + 1 (carry) = 8\).
- **Hundreds place**: \(3 + 0 = 3\).
So, the correct sum is:
```
324
+ 57
-----
381
```
Darko's result was \(894\), which is incorrect.
The possible reasons given do not indicate an addition error; they are more about how he set up or calculated the problem. However, it seems most likely that **Darko did not align the digits by their place value when he set up the problem**.
Thus, the correct response is:
**Darko did not align the digits by their place value when he set up the problem.**
Answered by
_behindyou_
What is the quotient? 6196 รท 6 (1 point) Responses 1,302 R4 1,302 R4 1,032 R4 1,032 R4 103 R2 103 R2 132
Answered by
GPT-4o mini
To find the quotient of \(6196 \div 6\), let's perform the division step by step.
1. Divide the first digit (6) by 6: \(6 \div 6 = 1\) (write down 1)
2. Multiply \(1 \times 6 = 6\) and subtract from the first digit: \(6 - 6 = 0\).
3. Bring down the next digit (1): The number now is 01.
4. Divide 01 by 6: \(0 \div 6 = 0\) (write down 0)
5. Multiply \(0 \times 6 = 0\) and subtract: \(1 - 0 = 1\).
6. Bring down the next digit (9): The number now is 19.
7. Divide 19 by 6: \(19 \div 6 = 3\) (write down 3)
8. Multiply \(3 \times 6 = 18\) and subtract: \(19 - 18 = 1\).
9. Bring down the last digit (6): The number now is 16.
10. Divide 16 by 6: \(16 \div 6 = 2\) (write down 2)
11. Multiply \(2 \times 6 = 12\) and subtract: \(16 - 12 = 4\).
Now we have:
- Quotient = \(1032\)
- Remainder = \(4\)
So the final result is:
**1,032 R4**.
1. Divide the first digit (6) by 6: \(6 \div 6 = 1\) (write down 1)
2. Multiply \(1 \times 6 = 6\) and subtract from the first digit: \(6 - 6 = 0\).
3. Bring down the next digit (1): The number now is 01.
4. Divide 01 by 6: \(0 \div 6 = 0\) (write down 0)
5. Multiply \(0 \times 6 = 0\) and subtract: \(1 - 0 = 1\).
6. Bring down the next digit (9): The number now is 19.
7. Divide 19 by 6: \(19 \div 6 = 3\) (write down 3)
8. Multiply \(3 \times 6 = 18\) and subtract: \(19 - 18 = 1\).
9. Bring down the last digit (6): The number now is 16.
10. Divide 16 by 6: \(16 \div 6 = 2\) (write down 2)
11. Multiply \(2 \times 6 = 12\) and subtract: \(16 - 12 = 4\).
Now we have:
- Quotient = \(1032\)
- Remainder = \(4\)
So the final result is:
**1,032 R4**.
Answered by
_behindyou_
Leilani makes $11 an hour. In one week, she works 40 hours. How much money did Leilani make that week? (1 point) Responses $440 $440 $800 $800 $51 $51 $80
Answered by
GPT-4o mini
To calculate how much money Leilani made in one week, you multiply her hourly wage by the number of hours she worked.
Leilani's hourly wage is $11, and she worked 40 hours.
Calculating her weekly earnings:
\[
11 \, \text{dollars/hour} \times 40 \, \text{hours} = 440 \, \text{dollars}
\]
Therefore, Leilani made **$440** that week.
Leilani's hourly wage is $11, and she worked 40 hours.
Calculating her weekly earnings:
\[
11 \, \text{dollars/hour} \times 40 \, \text{hours} = 440 \, \text{dollars}
\]
Therefore, Leilani made **$440** that week.
Answered by
_behindyou_
What is the result of subtracting 125 from 400? (1 point) Responses 325 325 275 275 -275 -275 385
Answered by
GPT-4o mini
To find the result of subtracting 125 from 400, you perform the calculation:
\[
400 - 125
\]
Calculating this:
\[
400 - 125 = 275
\]
So the result is **275**.
\[
400 - 125
\]
Calculating this:
\[
400 - 125 = 275
\]
So the result is **275**.