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.