Will someone please help me with the following problems:
1. One kilometer is equal to 1,000 meters. What fractional part of a kilometer is 750 meters? Simplify
2. Find the number that is the difference between 99 and 63.
3. Find the unit price for the item:$35.80 for 4 caps.
4. Add. 3 3/5 + 5 5/6 + 4 3/10
5.Talon reads 1,000 words in 5 minutes, and Samantha reads 525 words in 4 minutes. Who is the faster reader?
I really appreciate if you can help me out, Thanks.
1. 750/1000 = (reduce it to lowest terms)
2. 99 - 63 = ?
3. Divide 35.80 by 4
4. Convert all mixed numbers so that the fraction part has a common denominator. In this case the common denominator is 30. Then add the integers and the fractions separately.
3 18/30 + 5 25/30 + 4 10/30 = 12 53/30
= 13 23/30
5. Calculate and compare the words per minute of each. Note that Talon reads almost twice as much in only 25% more time. That should tell you the answer right away.
Thank you very much
Sure, I'd be happy to help you with these problems! Let's go through each one step by step:
1. To find the fractional part of a kilometer that is equal to 750 meters, we need to divide 750 by 1000 (since there are 1000 meters in a kilometer). So, the fraction is 750/1000. To simplify this fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 250. So the simplified fraction is 3/4.
2. To find the difference between 99 and 63, simply subtract 63 from 99. The calculation is 99 - 63 = 36. Therefore, the difference between 99 and 63 is 36.
3. To find the unit price for an item, divide the total price by the number of items. In this case, the total price is $35.80 and there are 4 caps. So, the unit price is $35.80 / 4 = $8.95 per cap.
4. To add mixed numbers, first add the whole numbers together, then add the fractions together. Let's break it down step by step:
- Add the whole numbers: 3 + 5 + 4 = 12
- Add the fractions: 3/5 + 5/6 + 4/10. To add fractions with different denominators, we need to find a common denominator. In this case, the common denominator is 30 (which is the least common multiple of 5, 6, and 10). Then, we convert each fraction to have a denominator of 30:
- 3/5 = 18/30 (by multiplying the numerator and denominator by 6)
- 5/6 = 25/30 (by multiplying the numerator and denominator by 5)
- 4/10 = 12/30 (by multiplying the numerator and denominator by 3)
- Now add the fractions together: 18/30 + 25/30 + 12/30 = 55/30
- To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 5: 55/30 = 11/6.
- So, the final answer is 12 + 11/6.
5. To determine who is the faster reader, we need to compare the rates at which they read. Talon reads 1,000 words in 5 minutes, which means his reading rate is 1000/5 = 200 words per minute. Samantha reads 525 words in 4 minutes, so her reading rate is 525/4 = 131.25 words per minute. Therefore, Talon is the faster reader as he reads at a rate of 200 words per minute compared to Samantha's rate of 131.25 words per minute.
I hope this helps! Let me know if you have any further questions.