MATHEMATICS MIDDLE SCHOOL

Donald is planting two types of saplings in his garden.sapling 1 is4 feet tall and grows at the rate of 16 inches per year. Sapling 2 is 5 feet tall and grows at the rate of 12 inches per year.after how many yeas will these saplings be of the same height?

Answers

Answer 1
Answer:

After 3 years these saplings will be of the same height

Step-by-step explanation:

Donald is planting two types of saplings in his garden

  • Sapling 1 is 4 feet tall and grows at the rate of 16 inches per year
  • Sapling 2 is 5 feet tall and grows at the rate of 12 inches per year

We need to find after how many years these saplings will be of the

same height

Assume that they will be of the same height after n years

∵ The height of the sapling 1 is 4 feet now

∵ It grows at the rate of 16 inches per year

- Change the feet to inches

∵ 1 foot = 12 inches

∴ 4 feet = 4 × 12 = 48 inches

∴ The height of the sapling 1 after n years = 48 + 16 n

∵ The height of the sapling 2 is 5 feet now

∵ It grows at the rate of 12 inches per year

- Change the feet to inches

∴ 5 feet = 5 × 12 = 60 inches

∴ The height of the sapling 2 after n years = 60 + 12 n

Equate the two heights

∴ 48 + 16 n = 60 + 12 n

- Subtract 12 n from both sides

∴ 48 + 4 n = 60

- Subtract 48 from both sides

∴ 4 n = 12

- Divide both sides by 4

∴ n = 3 years

After 3 years these saplings will be of the same height

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Answer 2
Answer:

Answer:

yes-The rate of change of a linear function is always the same.

no-The rate of change of a linear function increases as the input increases.

yes-The rate of change from 2 years to 4 years on the graph is 1.5 inches per year.

yes-The rate of change from 0 years to 6 years on the graph is 1.5 inches per year.

Step-by-step explanation:

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Describe how to simplify the expression (3^-6)/(3^-4). Answers: Divide the bases and then add the exponents. Keep the base the same and then add the exponents. Multiply the bases and then subtract the exponents. Keep the base the same and then subtract the exponents.

Answers

Answer:

Last option: Keep the base the same and then subtract the exponents.

Step-by-step explanation:

There is a property called "Quotient of power property".

This property states that if you need to divide two powers with the same base, you must keep the same base and subtract the exponents:

(a^m)/(a^n)=a^((m-n))

Then, you need to apply this property to the expression ((3^(-6)))/((3^(-4))) to simplify it.

Therefore, you get that the expression simplified is:

3^((-6-(-4)))=3^((-6+4))=3^(-2)

Answer:b

Step-by-step explanation:

Is 66 yd larger than 180 ft? Why or why not?

Answers

66 yards is greater, because in the metric system 1 yard= 3 feet. 66 yards is equal to 198 feet. Therefore, making 66 feet greater than 180 feet.
Greater because if 1 yard equals 3 feet then 66 feet equals 198 feet and 198>180

each of the 28 students in romis class raised at least $25 during the jump a thon. what is the least amount of money the class raised?

Answers

If each of the 28 students made at least $25, you would multiply 28 and 25 together to obtain the least amount of money the class raised. That gets, 28x25 = 700. The class made at least $700.
At least $700 was raised, 28 x $25

Stephen had 24 miniature cars. He gave 4 cars to his brother. Then passed the rest of the cars out equally among 4 of his friends. Which operation would you use to represent the first part of this situation?

Answers

The first operation, in order to solve the following situation, is 24 - 4 it gives the rest cars which need to divide equally.

How to form an equation?

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

Number of cars Stephen had = 24

He gave 4 cars so left will be 24 - 4 = 20

So 20 needs to divide among his 4 friends so the first thing we do is the subtraction of 24 minus 4.

So the first operation will be 24 - 4 = 20

Hence "The first operation, in order to solve the following situation, is 24 - 4 it gives the rest cars which need to divide equally".

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i think minus cause 24-4=20

Mr.Roberts see a rare 1937 penny.the cost of the penny is $210.if he saves $a week,Mr Roberts have enough money to buy the penny in one year

Answers

no because thier is only about 52.1 weeks in a year so he would only have about  52 dollors.
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Titus works at a hotel. Part of his job is to keep the complimentary pitcher of water at least half full and always with ice. When he starts his shift, the water level shows 4 gallons, or 128 cups of water. As the shift progresses, he records the level of the water every 10 minutes. After 2 hours, he uses a regression calculator to compute an equation for the decrease in water. His equation is W –0.414t + 129.549, where t is the number of minutes and W is the level of water. According to the equation, after about how many minutes would the water level be less than or equal to 64 cups? 150 minutes
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Answers

Answer:

B: 160 minutes

Step-by-step explanation:

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