A plant grows 3/4 of an inch every week.

Write the ratio in the fractional form to determine how many inches the plant grows in a month. (Assume 4 weeks in 1 month.)

A newborn kitten weighs about 1/4 pound.

Write a proportion to convert the mass from pounds to kilograms. (1 pound = 0.45 kg). Then, find the mass of the kitten in kilograms. Enter your answer as a fraction in the simplest form.

A person who weighs 100 pounds on Earth would weigh
37 7/10 pounds on Mars. If m represents a person’s weight in pounds, on Mars, which proportion could you solve to determine the weight on Mars of a person who weighs 160 2/5 on Earth?

The New Mexico Division of Fish and Wildlife keeps track of the silvery minnow population in the Rio Grande River. They tagged 54 silvery minnows and released them. A week later, they captured 62 silvery minnows, including 12 tagged silvery minnows. What is a good estimate of the silvery minnow population in the Rio Grande River?

Which ratio can you get by scaling up the ratio 5/6 chapters 1/3 hours? Select all that apply.

Help appreciated please and thank you.

1. (3/4)in/(1/4)mo. = 3/4 * 4/1 = 12/4 = 3 in/mo.

2. 0.45/1 =M/0.25.
M = 0.1125 kg.

i dont know find it yourself du

To solve these questions, we will apply the following steps:

1. Convert ratios to fractional form
2. Set up proportions
3. Solve proportions
4. Use proportions to estimate

Let's begin:

1. Conversion of ratio to fractional form:
- The plant grows at a rate of 3/4 inch every week.
- To find how many inches the plant grows in a month (assuming 4 weeks), we scale up the ratio:

3/4 inch per week * 4 weeks = (3/4) * 4 = 12/4 = 3 inches per month.

Therefore, the plant grows 3 inches in a month.

- The newborn kitten weighs about 1/4 pound.
- To convert the mass from pounds to kilograms, we set up a proportion:

1 pound / 0.45 kg = 1/4 pound / x kg.

Cross-multiply:

1 * x = (1/4) * 0.45

x = 0.1125 kg.

Therefore, the mass of the kitten is 0.1125 kg.

- The person on Earth who weighs 100 pounds would weigh 37 7/10 pounds on Mars.
- We need to find the weight on Mars of a person who weighs 160 2/5 on Earth.
- We can set up a proportion:

100 pounds / 37 7/10 pounds = 160 2/5 pounds / x pounds.

Cross-multiply:

(100 * x) = (37 7/10) * (160 2/5)

x = (37.7 * 160.4) / 100

x = 60.488 pounds.

Therefore, a person who weighs 160 2/5 pounds on Earth would weigh approximately 60.488 pounds on Mars.

2. The New Mexico Division of Fish and Wildlife tagged 54 silvery minnows and released them. A week later, they captured 62 silvery minnows, including 12 tagged minnows.
- To estimate the silvery minnow population in the Rio Grande River, we can set up a proportion:

54 tagged minnows / Total population = 12 tagged minnows / 62 captured minnows.

Cross-multiply:

(54 * 62) = 12 * Total population

Total population = (54 * 62) / 12

Total population = 1674 / 12

Total population ≈ 139.5

Therefore, a good estimate for the silvery minnow population in the Rio Grande River is approximately 139 minnows.

3. Scaling up ratios:
- To scale up the ratio 5/6 chapters to 1/3 hours, we multiply both numerator and denominator by the same value.
- Possible ratios obtained:

- Scale up by 2:

(5/6) * 2 chapters / (1/3) * 2 hours = 10/6 chapters / 2/3 hours.

- Scale up by 3:

(5/6) * 3 chapters / (1/3) * 3 hours = 15/6 chapters / 3/3 hours.

Simplifying these ratios, we have:

- Scale up by 2: 10/6 chapters / 2/3 hours = 5/3 chapters / 2/3 hours.
- Scale up by 3: 15/6 chapters / 3/3 hours = 5/2 chapters / 1 hour.

Therefore, the ratios that can be obtained by scaling up the ratio 5/6 chapters to 1/3 hours are 5/3 chapters / 2/3 hours and 5/2 chapters / 1 hour.

I hope this explanation helps! Let me know if you have any further questions.

x/4 = (3/4)/1

(1/4 lb) * (0.45kg)/lb = _____ kg

m/(160 2/5) = (37 7/10)/100

see what you can do with the others.