Neil measures the lengths of some objects in both yards and feet.There is a proportional relationship between the number of yards, x, and the number of feet, y.
x (yards) y (feet)
1 3
2 6
3 9
6 18
What is the constant of proportionality? Write your answer as a whole number or decimal.

Answers

Answer 1
Answer:

The constant of proportionality(k) between a yard and a foot is 0.33.

What are ratio and proportion?

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

The variable feet and yards are in direct proportion.

Let,

yard = k(feet).

1 = 3k

k = 1/3 = 0.33.

learn more about proportion here :

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Answer 2
Answer: the constant of proportionality is 3 (multiplied by 3 to be exact)

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Subtract. Reduce to lowest terms.
10 1/4 - 9 5/6

Answers

Answer:

5/12

Step-by-step explanation:

10 1/4 - 9 5/6

41/4 - 59/6

246/24 - 236/24 = 10/24 = 5/12

Answer:

-5, to simplify the expression

What is the answer to -3(2x-3)=33

Answers

Answer:

The answer is -4.

Step-by-step explanation:

Start with distribution: -6x+9=33

Additive Inverse of 9: -6x+9=33

                                          -9   -9

                                      ----------------

  Divide both sides by -6: -6x  = 24

                                            x=-4                                      

The answer plzzzzzzzzzz

Answers

Add 7 and 2 you will get 9, therefore the length of the post is 9.
The answer is 9 feet. It is 2 feet below ground level and 7 above, and if you add them together (7+2) you get a total of 9.

Copy and complete the table below to represent the amount of time it would take Meredith to get her friends house if she traveled at different rates

Answers

Answer with explanation:

Formula used here ,

\text{Time}=\frac{\text{Distance}}{\text{Speed}}

It is given that the distance between Meredith and her friends house =2 4 blocks

Then At Speed = 1 block per minute.

\text{Time}=(24)/(1)= 24 minutes.

At Speed = 2 block per minute.

\text{Time}=(24)/(2)= 12 minutes.

At Speed = 3 block per minute.

\text{Time}=(24)/(3)= 8 minutes.

At Speed = 4 block per minute.

\text{Time}=(24)/(4)= 6 minutes.

At Speed = 6 block per minute.

\text{Time}=(24)/(6)= 4 minutes.

At Speed = 8 block per minute.

\text{Time}=(24)/(8)= 3 minutes.

At Speed = 10 block per minute.

\text{Time}=(24)/(10)= 2.4 minutes.

At Speed = 12 block per minute.

\text{Time}=(24)/(12)= 2 minutes.

At Speed = 24 block per minute.

\text{Time}=(24)/(24)= 1 minute.

This problem can be solved by using the formula for

linear motions. The formula relating velocity, distance and time is:

t = d / v

where t is time, d is distance and v is velocity

 

We are given that d = 24 blocks

 

When v = 1 block / minute

t = 24 blocks / (1 block / minute)

t = 24 minutes

 

When v = 2 block / minute

t = 24 blocks / (2 block / minute)

t = 12 minutes

 

Hence we can see that it takes half the time when she is

travelling at 2 blocks per minute.

Find all the factors of 28 the first 6

Answers

  The first 6 factors of 28 are....1, 2, 4, 7, 14, 28 
1,28 
2,14
4,7
These are all I have so far

Imagine that this graph represents the distance Brianna travels to get to her babysitting job with respect to time. Describe a relation that the graph may represent.

Answers

Answer:Brianna left home and drove 3 miles in 6 minutes. She then stopped for 4 minutes to pick up coffee. Finally, she traveled the last 4 miles in 6 minutes to arrive at her babysitting job.