Westonci.ca is the premier destination for reliable answers to your questions, brought to you by a community of experts. Get immediate answers to your questions from a wide network of experienced professionals on our Q&A platform. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.
Sagot :
Sure, let's go through each of the questions one by one and solve them step by step.
Question 1:
Which answer expresses the ratio 10 feet to 12 feet as a fraction in lowest terms?
- The fraction is [tex]\(\frac{10}{12}\)[/tex]. To reduce it to lowest terms, we divide both the numerator and the denominator by their greatest common divisor (GCD).
- The GCD of 10 and 12 is 2.
- [tex]\(\frac{10 \div 2}{12 \div 2} = \frac{5}{6}\)[/tex].
The correct answer is:
C. [tex]\(\frac{5}{6}\)[/tex].
Question 2:
Write the ratio 21 students to 28 students as a fraction in lowest terms.
- The fraction is [tex]\(\frac{21}{28}\)[/tex]. To reduce it to lowest terms, we divide both the numerator and the denominator by their GCD.
- The GCD of 21 and 28 is 7.
- [tex]\(\frac{21 \div 7}{28 \div 7} = \frac{3}{4}\)[/tex].
The answer is:
[tex]\(\frac{3}{4}\)[/tex].
Question 3:
Which answer expresses the rate 24 miles per 36 minutes as a fraction in lowest terms?
- The fraction is [tex]\(\frac{24}{36}\)[/tex]. To reduce it to lowest terms, we divide both the numerator and the denominator by their GCD.
- The GCD of 24 and 36 is 12.
- [tex]\(\frac{24 \div 12}{36 \div 12} = \frac{2}{3}\)[/tex].
The correct answer is:
B. [tex]\(\frac{2}{3}\)[/tex].
Question 5:
Which answer expresses the rate 200 miles per 4 hours as a unit rate?
- The unit rate is calculated by dividing 200 miles by 4 hours.
- [tex]\(\frac{200 \text{ miles}}{4 \text{ hours}} = 50 \frac{\text{miles}}{\text{hour}}\)[/tex].
The correct answer is:
B. [tex]\(50 \frac{\text{miles}}{\text{hour}}\)[/tex].
Question 6:
Write the rate 42 ounces per 5 mugs as a unit rate. Write your answer as a decimal number.
- The unit rate is calculated by dividing 42 ounces by 5 mugs.
- [tex]\( \frac{42 \text{ ounces}}{5 \text{ mugs}} = 8.4 \frac{\text{ounces}}{\text{mug}}\)[/tex].
The answer is:
8.4.
Question 7:
In the first paragraph of an essay, Carmen wrote 70 words in 6 sentences. Which answer expresses this as a unit rate?
- The unit rate is calculated by dividing 70 words by 6 sentences.
- [tex]\(\frac{70 \text{ words}}{6 \text{ sentences}} \approx 11.6667 \frac{\text{words}}{\text{sentence}}\)[/tex].
- As a mixed number, this is [tex]\(11 \frac{2}{3} \frac{\text{words}}{\text{sentence}}\)[/tex].
The correct answer is:
A. [tex]\(11 \frac{2}{3} \frac{\text{words}}{\text{sentence}}\)[/tex].
Question 1:
Which answer expresses the ratio 10 feet to 12 feet as a fraction in lowest terms?
- The fraction is [tex]\(\frac{10}{12}\)[/tex]. To reduce it to lowest terms, we divide both the numerator and the denominator by their greatest common divisor (GCD).
- The GCD of 10 and 12 is 2.
- [tex]\(\frac{10 \div 2}{12 \div 2} = \frac{5}{6}\)[/tex].
The correct answer is:
C. [tex]\(\frac{5}{6}\)[/tex].
Question 2:
Write the ratio 21 students to 28 students as a fraction in lowest terms.
- The fraction is [tex]\(\frac{21}{28}\)[/tex]. To reduce it to lowest terms, we divide both the numerator and the denominator by their GCD.
- The GCD of 21 and 28 is 7.
- [tex]\(\frac{21 \div 7}{28 \div 7} = \frac{3}{4}\)[/tex].
The answer is:
[tex]\(\frac{3}{4}\)[/tex].
Question 3:
Which answer expresses the rate 24 miles per 36 minutes as a fraction in lowest terms?
- The fraction is [tex]\(\frac{24}{36}\)[/tex]. To reduce it to lowest terms, we divide both the numerator and the denominator by their GCD.
- The GCD of 24 and 36 is 12.
- [tex]\(\frac{24 \div 12}{36 \div 12} = \frac{2}{3}\)[/tex].
The correct answer is:
B. [tex]\(\frac{2}{3}\)[/tex].
Question 5:
Which answer expresses the rate 200 miles per 4 hours as a unit rate?
- The unit rate is calculated by dividing 200 miles by 4 hours.
- [tex]\(\frac{200 \text{ miles}}{4 \text{ hours}} = 50 \frac{\text{miles}}{\text{hour}}\)[/tex].
The correct answer is:
B. [tex]\(50 \frac{\text{miles}}{\text{hour}}\)[/tex].
Question 6:
Write the rate 42 ounces per 5 mugs as a unit rate. Write your answer as a decimal number.
- The unit rate is calculated by dividing 42 ounces by 5 mugs.
- [tex]\( \frac{42 \text{ ounces}}{5 \text{ mugs}} = 8.4 \frac{\text{ounces}}{\text{mug}}\)[/tex].
The answer is:
8.4.
Question 7:
In the first paragraph of an essay, Carmen wrote 70 words in 6 sentences. Which answer expresses this as a unit rate?
- The unit rate is calculated by dividing 70 words by 6 sentences.
- [tex]\(\frac{70 \text{ words}}{6 \text{ sentences}} \approx 11.6667 \frac{\text{words}}{\text{sentence}}\)[/tex].
- As a mixed number, this is [tex]\(11 \frac{2}{3} \frac{\text{words}}{\text{sentence}}\)[/tex].
The correct answer is:
A. [tex]\(11 \frac{2}{3} \frac{\text{words}}{\text{sentence}}\)[/tex].
We appreciate your time. Please come back anytime for the latest information and answers to your questions. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.
