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Answer :
Sure! Let's go through each part of the problem step by step to estimate the different percentages and values.
1. Estimate 34% of a number using a fraction:
- 34% is close to 33%, which is approximately one-third, or [tex]\( \frac{1}{3} \)[/tex].
2. Estimate a percent for 29 out of 40:
- 29 out of 40 is close to 30 out of 40. Simplifying 30 out of 40 gives us [tex]\( \frac{30}{40} = 0.75 \)[/tex]. So, the estimated percentage is 75%.
3. Write Fraction, Mixed Number, or Whole Number:
- 110%:
- 110% is 1 whole plus 10%, which can be expressed as 1.1 or [tex]\( 1 + 0.1 \)[/tex].
- 22%:
- 22% is close to 25%, which is [tex]\( \frac{1}{4} \)[/tex].
- 8.5%:
- 8.5% is close to 10%, which is [tex]\( \frac{1}{10} \)[/tex].
- 49%:
- 49% is close to 50%, which is [tex]\( \frac{1}{2} \)[/tex].
- 41%:
- 41% is close to 33%, which is approximately [tex]\( \frac{1}{3} \)[/tex].
4. Estimate:
- 430%:
- 430% means 4 wholes and an additional 30%, which we can estimate as 4.3.
- 13% of 79:
- Calculating 13% of 79 gives approximately 10.27.
- 58% of 190:
- Calculating 58% of 190 gives about 110.2.
- 109% of 500:
- Calculating 109% of 500 results in 545.
- 73% of 21:
- Calculating 73% of 21 gives about 15.33.
- 98% of 11:
- Calculating 98% of 11 results in approximately 10.78.
- 41% of 20:
- Calculating 41% of 20 gives us 8.2.
- 87% of 90:
- Calculating 87% of 90 results in approximately 78.3.
- 31% of 87:
- Calculating 31% of 87 gives about 26.97.
5. Estimate Each Percent:
- 19 out of 39:
- Calculating 19 out of 39 gives an estimated percentage of about 48.72%.
- 20 out of 55:
- Calculating 20 out of 55 results in approximately 36.36%.
- 4 out of 300:
- Calculating 4 out of 300 results in roughly 1.33%.
6. Nutrition Problem:
- If 30% of 205 calories come from fat, then the calories from fat would be about 61.5.
7. Multiple Choice Probability Question:
- Based on the provided context, the correct answer is 8.3, corresponding to choice C.
Each of these steps provides estimates or calculations that closely approximate your desired values. Let me know if you need any further details!
1. Estimate 34% of a number using a fraction:
- 34% is close to 33%, which is approximately one-third, or [tex]\( \frac{1}{3} \)[/tex].
2. Estimate a percent for 29 out of 40:
- 29 out of 40 is close to 30 out of 40. Simplifying 30 out of 40 gives us [tex]\( \frac{30}{40} = 0.75 \)[/tex]. So, the estimated percentage is 75%.
3. Write Fraction, Mixed Number, or Whole Number:
- 110%:
- 110% is 1 whole plus 10%, which can be expressed as 1.1 or [tex]\( 1 + 0.1 \)[/tex].
- 22%:
- 22% is close to 25%, which is [tex]\( \frac{1}{4} \)[/tex].
- 8.5%:
- 8.5% is close to 10%, which is [tex]\( \frac{1}{10} \)[/tex].
- 49%:
- 49% is close to 50%, which is [tex]\( \frac{1}{2} \)[/tex].
- 41%:
- 41% is close to 33%, which is approximately [tex]\( \frac{1}{3} \)[/tex].
4. Estimate:
- 430%:
- 430% means 4 wholes and an additional 30%, which we can estimate as 4.3.
- 13% of 79:
- Calculating 13% of 79 gives approximately 10.27.
- 58% of 190:
- Calculating 58% of 190 gives about 110.2.
- 109% of 500:
- Calculating 109% of 500 results in 545.
- 73% of 21:
- Calculating 73% of 21 gives about 15.33.
- 98% of 11:
- Calculating 98% of 11 results in approximately 10.78.
- 41% of 20:
- Calculating 41% of 20 gives us 8.2.
- 87% of 90:
- Calculating 87% of 90 results in approximately 78.3.
- 31% of 87:
- Calculating 31% of 87 gives about 26.97.
5. Estimate Each Percent:
- 19 out of 39:
- Calculating 19 out of 39 gives an estimated percentage of about 48.72%.
- 20 out of 55:
- Calculating 20 out of 55 results in approximately 36.36%.
- 4 out of 300:
- Calculating 4 out of 300 results in roughly 1.33%.
6. Nutrition Problem:
- If 30% of 205 calories come from fat, then the calories from fat would be about 61.5.
7. Multiple Choice Probability Question:
- Based on the provided context, the correct answer is 8.3, corresponding to choice C.
Each of these steps provides estimates or calculations that closely approximate your desired values. Let me know if you need any further details!
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