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tatuchka [14]
2 years ago
11

This graph shows a proportional relationship. What is the constant of proportionality?

Mathematics
1 answer:
Vlad1618 [11]2 years ago
4 0

Answer:

3/4

Step-by-step explanation:

there is no y intercept but it is 3/4 when you simplify

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Patricia purchased x meters of fencing. She originally intended to use all of the fencing to enclose a square region, but later
sergejj [24]

Answer:

  (y^2)/4 square meters

Step-by-step explanation:

For a perimeter length of x, the side of a square will be x/4 and its area will be (x/4)^2.

If one side of the square is shortened by y/2 and the adjacent side is lengthened by y/2, then the difference in side lengths will be y. The area of the resulting rectangle will be ...

  (x/4 -y/2)(x/4 +y/2) = (x/4)^2 -(y/2)^2

That is, the difference in area between the square and the rectangle is ...

  (x/4)^2 - ((x/4)^2 -(y/2)^2) = (y/2)^2 = y^2/4

The positive difference between the area of the square region and the area of the rectangular region is y^2/4 square meters.

5 0
3 years ago
The mean of four consecutive even numbers is 15. The greatest of these numbers is a1. The least of these numbers is a2.
skad [1K]
X + (x + 2) + ( x + 4) + (x + 6)
-----------------------------------     = 15
                   4

4x + 12
---------    = 15
    4

Multiply by 4 on both sides

4x + 12 = 60
subtract 12 from both sides
4x = 48
divide by 4 on each side
x = 12
x + 2 = 14
x + 4 = 16
x + 6 = 18
6 0
3 years ago
Find the unit rate.<br> 6,460 liters in 323 minutes<br> liters per minute
Sloan [31]

Answer:

20

Step-by-step explanation:

6,460 divided by 323 = 20

8 0
3 years ago
Read 2 more answers
Kara earned $136.75 last week working 16 hours. She earned $10.50 per hour at the fast food restaurant and $4.25 per hour helpin
Evgesh-ka [11]

Answer:

ANSWER: she worked 11 hours at the fast food restaurant and 5 hours helping her aunt

Step-by-step explanation:

First we are going to try to find how many hours she worked on the fast food restaurant so you multiply 4.25 time 16 and x

10.50x + 4.25(16-x) =136.75

10.50x + 68 - 4.25x= 136.75

Then, you subtract 68 from both sides and subtract 4.25x from 10.50x

6.25x=68.75

Divide

X=11 that is how many hours she worked at the FAST FOOD RESTAURANT

Then 16-11 and that gives us how many hours she helped her aunt.

3 0
3 years ago
Katie earns $8 per hour at her paint job. Her boss gives her a raise of 15%. What is Katie’s hourly wage after her raise? How mu
kodGreya [7K]

Answer: $9.20 hourly 230 dollars for 25 hour work week

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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