Answered

From tech troubles to travel tips, IDNLearn.com has answers to all your questions. Ask any question and get a detailed, reliable answer from our community of experts.

Directions: Answer the following questions. For multiple-choice questions, choose the best answer. For other questions, follow the directions provided.

1. Which answer expresses the ratio 10 feet to 12 feet as a fraction in lowest terms?
A. [tex]$\frac{10}{12}$[/tex]
B. [tex]$\frac{12}{10}$[/tex]
C. [tex]$\frac{5}{6}$[/tex]
D. [tex]$\frac{6}{5}$[/tex]

2. Write the ratio 21 students to 28 students as a fraction in lowest terms. Write your answer in the box.
[tex]$\square$[/tex]

3. Which answer expresses the rate 24 miles per 36 minutes as a fraction in lowest terms?
A. [tex]$\frac{24}{36}$[/tex]
B. [tex]$\frac{2}{3}$[/tex]
C. [tex]$\frac{3 \text { minutes }}{2 \text { miles }}$[/tex]
D. [tex]$\frac{2 \text { miles }}{3 \text { minutes }}$[/tex]

4. Which answer expresses the rate 200 miles per 4 hours as a unit rate?
A. [tex]$\frac{200 \text { miles }}{4 \text { hours }}$[/tex]
B. [tex]$50 \frac{\text { miles }}{\text { hours }}$[/tex]
C. [tex]$\frac{1 \text { hour }}{50 \text { miles }}$[/tex]
D. [tex]$\frac{4 \text { hours }}{200 \text { miles }}$[/tex]

5. Write the rate 42 ounces per 5 mugs as a unit rate. Write your answer as a decimal number. Write your answer in the box.
[tex]$\square$[/tex]

6. In the first paragraph of an essay, Carmen wrote 70 words in 6 sentences. Which answer expresses this as a unit rate?
A. [tex]$11 \frac{2}{3} \frac{\text { words }}{\text { sentence }}$[/tex]
B. [tex]$\frac{35 \text { words }}{3 \text { sentences }}$[/tex]
C. [tex]$\frac{3 \text { sentences }}{35 \text { words }}$[/tex]
D. [tex]$11 \frac{2}{3} \frac{\text { sentences }}{\text { word }}$[/tex]

Sagot :

GinnyAnsweridn
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].
Thank you for using this platform to share and learn. Don't hesitate to keep asking and answering. We value every contribution you make. IDNLearn.com is dedicated to providing accurate answers. Thank you for visiting, and see you next time for more solutions.