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Jamal is dividing 7.686 by 0.18. He gets the digits 427. Where should he place the decimal for the correct quotient?(1 point) Responses A) 0.427 A) 0.427 B) 4.27 B) 4.27 C) 42.7 C) 42.7 D) 427
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Question Directions: Solve the problem using long division with a remainder. Petra had 170 stickers to make scrapbook pages. She put 12 stickers on each page. How many pages did she make? How many stickers were left over? (2 points) Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. She made Response areapages. She had Response area left over.
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Jose bought 8.4 pounds of food for $5.92 per pound. He then split it equally between himself and three friends. If they split the food cost evenly, how much will each of the four friends pay? Round your answer to the nearest penny. ( Hint: This is a multi-step word problem)(2 points) Responses A) $5.68 A) $5.68 B) $12.43 B) $12.43 C) $16.58 C) $16.58 D) $49.73
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Determine the quotient of 3.42 and 1.6. (Do not round your answer)(1 point) a÷b=
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Sydney is buying balloons for a birthday party. Which store charges the least per balloon?(2 points) Responses A) She can buy 16 balloons at Parties R Us for $4.80. A) She can buy 16 balloons at Parties R Us for $4.80. B) She can buy 12 balloons at Balloon Land for $3.84. B) She can buy 12 balloons at Balloon Land for $3.84. C) She can buy 9 balloons at Balloons O Rama for $3.69. C) She can buy 9 balloons at Balloons O Rama for $3.69. D) She can buy 15 balloons at Party World for $4.35.
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Answered by
GPT-4o mini
To determine where Jamal should place the decimal in the quotient of \( 7.686 \div 0.18 \), we first need to adjust for the decimal places in the divisor.
1. **Count the decimal places**: The divisor \( 0.18 \) has 2 decimal places.
2. **Adjusting the numbers**: To eliminate the decimal in the divisor, we can multiply both the numerator and denominator by 100 (which shifts the decimal 2 places to the right):
\[
\frac{7.686 \times 100}{0.18 \times 100} = \frac{768.6}{18}
\]
3. **Perform the division**: Now we perform \( 768.6 \div 18 \).
Calculating \( 768.6 \div 18 \) gives us \( 42.7 \).
So the decimal placement for the correct quotient is:
**C) 42.7**.
1. **Count the decimal places**: The divisor \( 0.18 \) has 2 decimal places.
2. **Adjusting the numbers**: To eliminate the decimal in the divisor, we can multiply both the numerator and denominator by 100 (which shifts the decimal 2 places to the right):
\[
\frac{7.686 \times 100}{0.18 \times 100} = \frac{768.6}{18}
\]
3. **Perform the division**: Now we perform \( 768.6 \div 18 \).
Calculating \( 768.6 \div 18 \) gives us \( 42.7 \).
So the decimal placement for the correct quotient is:
**C) 42.7**.
Answered by
GPT-4o mini
To solve the problem using long division, we divide 170 by 12.
1. **Long Division Setup**:
- 12 goes into 170.
2. **Find how many times 12 goes into 170**:
- 12 x 1 = 12
- 12 x 2 = 24
- 12 x 3 = 36
- 12 x 4 = 48
- 12 x 5 = 60
- 12 x 6 = 72
- 12 x 7 = 84
- 12 x 8 = 96
- 12 x 9 = 108
- 12 x 10 = 120
- 12 x 11 = 132
- 12 x 12 = 144
- 12 x 13 = 156
- 12 x 14 = 168
- 12 x 15 = 180 (too much)
Thus, 12 goes into 170 a total of 14 times.
3. **Multiply**:
- 12 x 14 = 168
4. **Subtract to find the remainder**:
- 170 - 168 = 2
So, after doing the long division:
- Petra made **14 pages**.
- She had **2 stickers** left over.
### Final Answers:
- She made **14 pages**.
- She had **2** left over.
1. **Long Division Setup**:
- 12 goes into 170.
2. **Find how many times 12 goes into 170**:
- 12 x 1 = 12
- 12 x 2 = 24
- 12 x 3 = 36
- 12 x 4 = 48
- 12 x 5 = 60
- 12 x 6 = 72
- 12 x 7 = 84
- 12 x 8 = 96
- 12 x 9 = 108
- 12 x 10 = 120
- 12 x 11 = 132
- 12 x 12 = 144
- 12 x 13 = 156
- 12 x 14 = 168
- 12 x 15 = 180 (too much)
Thus, 12 goes into 170 a total of 14 times.
3. **Multiply**:
- 12 x 14 = 168
4. **Subtract to find the remainder**:
- 170 - 168 = 2
So, after doing the long division:
- Petra made **14 pages**.
- She had **2 stickers** left over.
### Final Answers:
- She made **14 pages**.
- She had **2** left over.
Answered by
GPT-4o mini
To find out how much each of the four friends will pay, we need to follow a series of steps:
1. **Calculate the Total Cost of the Food**:
- The cost per pound is $5.92, and Jose bought 8.4 pounds.
\[
\text{Total cost} = \text{Cost per pound} \times \text{Number of pounds} = 5.92 \times 8.4
\]
Let's calculate that:
\[
5.92 \times 8.4 = 49.728
\]
The total cost is approximately $49.73 (rounded to the nearest penny).
2. **Split the Total Cost Among Four Friends**:
- Since there are four friends, we need to divide the total cost by 4.
\[
\text{Cost per person} = \frac{\text{Total cost}}{4} = \frac{49.728}{4}
\]
Now let's calculate that:
\[
49.728 \div 4 = 12.432
\]
Rounding to the nearest penny gives us $12.43.
### Final Answers:
- Each of the four friends will pay **$12.43**.
So, the answer is **B) $12.43**.
1. **Calculate the Total Cost of the Food**:
- The cost per pound is $5.92, and Jose bought 8.4 pounds.
\[
\text{Total cost} = \text{Cost per pound} \times \text{Number of pounds} = 5.92 \times 8.4
\]
Let's calculate that:
\[
5.92 \times 8.4 = 49.728
\]
The total cost is approximately $49.73 (rounded to the nearest penny).
2. **Split the Total Cost Among Four Friends**:
- Since there are four friends, we need to divide the total cost by 4.
\[
\text{Cost per person} = \frac{\text{Total cost}}{4} = \frac{49.728}{4}
\]
Now let's calculate that:
\[
49.728 \div 4 = 12.432
\]
Rounding to the nearest penny gives us $12.43.
### Final Answers:
- Each of the four friends will pay **$12.43**.
So, the answer is **B) $12.43**.
Answered by
GPT-4o mini
To determine the quotient of \( 3.42 \) and \( 1.6 \), we need to perform the division:
\[
\frac{3.42}{1.6}
\]
To carry out the calculation, we can convert the division into a fraction:
\[
\frac{3.42}{1.6} = \frac{3.42 \times 10}{1.6 \times 10} = \frac{34.2}{16}
\]
Now we divide \( 34.2 \) by \( 16 \):
1. **Long Division Calculation**:
- \( 16 \) goes into \( 34 \), two times because \( 16 \times 2 = 32 \).
- Subtract \( 32 \) from \( 34 \) to get a remainder of \( 2 \).
- Bring down the \( 2 \) to get \( 22 \).
- \( 16 \) goes into \( 22 \) one time because \( 16 \times 1 = 16 \).
- Subtract \( 16 \) from \( 22 \) to get a remainder of \( 6 \).
- Bring down the \( 0 \) (to create \( 60 \)).
- \( 16 \) goes into \( 60 \) three times because \( 16 \times 3 = 48 \).
- Subtract \( 48 \) from \( 60 \) to get a remainder of \( 12 \).
- Bring down \( 0 \) again (to create \( 120 \)).
- \( 16 \) goes into \( 120 \) seven times because \( 16 \times 7 = 112 \).
- Subtract \( 112 \) from \( 120 \) to get a remainder of \( 8 \), and then bring down another \( 0 \) (to create \( 80 \)).
- \( 16 \) goes into \( 80 \) five times because \( 16 \times 5 = 80 \).
- Subtract \( 80 \) from \( 80 \) to get a remainder of \( 0 \).
Putting it all together, the quotient can be written as:
\[
2.1375
\]
Thus, the quotient of \( 3.42 \) and \( 1.6 \) is:
\[
\frac{3.42}{1.6} = 2.1375
\]
### Final Answer:
\[
3.42 \div 1.6 = 2.1375
\]
So, the answer is **2.1375**.
\[
\frac{3.42}{1.6}
\]
To carry out the calculation, we can convert the division into a fraction:
\[
\frac{3.42}{1.6} = \frac{3.42 \times 10}{1.6 \times 10} = \frac{34.2}{16}
\]
Now we divide \( 34.2 \) by \( 16 \):
1. **Long Division Calculation**:
- \( 16 \) goes into \( 34 \), two times because \( 16 \times 2 = 32 \).
- Subtract \( 32 \) from \( 34 \) to get a remainder of \( 2 \).
- Bring down the \( 2 \) to get \( 22 \).
- \( 16 \) goes into \( 22 \) one time because \( 16 \times 1 = 16 \).
- Subtract \( 16 \) from \( 22 \) to get a remainder of \( 6 \).
- Bring down the \( 0 \) (to create \( 60 \)).
- \( 16 \) goes into \( 60 \) three times because \( 16 \times 3 = 48 \).
- Subtract \( 48 \) from \( 60 \) to get a remainder of \( 12 \).
- Bring down \( 0 \) again (to create \( 120 \)).
- \( 16 \) goes into \( 120 \) seven times because \( 16 \times 7 = 112 \).
- Subtract \( 112 \) from \( 120 \) to get a remainder of \( 8 \), and then bring down another \( 0 \) (to create \( 80 \)).
- \( 16 \) goes into \( 80 \) five times because \( 16 \times 5 = 80 \).
- Subtract \( 80 \) from \( 80 \) to get a remainder of \( 0 \).
Putting it all together, the quotient can be written as:
\[
2.1375
\]
Thus, the quotient of \( 3.42 \) and \( 1.6 \) is:
\[
\frac{3.42}{1.6} = 2.1375
\]
### Final Answer:
\[
3.42 \div 1.6 = 2.1375
\]
So, the answer is **2.1375**.
Answered by
GPT-4o mini
To determine which store charges the least per balloon, we need to calculate the price per balloon for each store. We'll do this by dividing the total cost by the number of balloons.
1. **Parties R Us**:
- Cost: $4.80
- Number of balloons: 16
\[
\text{Price per balloon} = \frac{4.80}{16} = 0.30 \text{ (or 30 cents)}
\]
2. **Balloon Land**:
- Cost: $3.84
- Number of balloons: 12
\[
\text{Price per balloon} = \frac{3.84}{12} = 0.32 \text{ (or 32 cents)}
\]
3. **Balloons O Rama**:
- Cost: $3.69
- Number of balloons: 9
\[
\text{Price per balloon} = \frac{3.69}{9} \approx 0.41 \text{ (or 41 cents)}
\]
4. **Party World**:
- Cost: $4.35
- Number of balloons: 15
\[
\text{Price per balloon} = \frac{4.35}{15} = 0.29 \text{ (or 29 cents)}
\]
Now we summarize the price per balloon for all stores:
- **Parties R Us:** $0.30 per balloon
- **Balloon Land:** $0.32 per balloon
- **Balloons O Rama:** $0.41 per balloon
- **Party World:** $0.29 per balloon
### Conclusion:
The store that charges the least per balloon is **Party World**, at **$0.29** per balloon.
1. **Parties R Us**:
- Cost: $4.80
- Number of balloons: 16
\[
\text{Price per balloon} = \frac{4.80}{16} = 0.30 \text{ (or 30 cents)}
\]
2. **Balloon Land**:
- Cost: $3.84
- Number of balloons: 12
\[
\text{Price per balloon} = \frac{3.84}{12} = 0.32 \text{ (or 32 cents)}
\]
3. **Balloons O Rama**:
- Cost: $3.69
- Number of balloons: 9
\[
\text{Price per balloon} = \frac{3.69}{9} \approx 0.41 \text{ (or 41 cents)}
\]
4. **Party World**:
- Cost: $4.35
- Number of balloons: 15
\[
\text{Price per balloon} = \frac{4.35}{15} = 0.29 \text{ (or 29 cents)}
\]
Now we summarize the price per balloon for all stores:
- **Parties R Us:** $0.30 per balloon
- **Balloon Land:** $0.32 per balloon
- **Balloons O Rama:** $0.41 per balloon
- **Party World:** $0.29 per balloon
### Conclusion:
The store that charges the least per balloon is **Party World**, at **$0.29** per balloon.
Answered by
GPT-4o mini
**D) Party World for $4.35 (15 balloons)**.
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