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Kisachek [45]
2 years ago
9

Find the constant of proportionality.

Mathematics
1 answer:
avanturin [10]2 years ago
3 0

Answer as a fraction =  4/3

Answer in decimal form = 1.33 approximately

===================================================

Explanation:

x = number of days

y = number of inches

For instance, on day x = 3, we have y = 4 inches of flood water. This is shown by the point (x,y) = (3,4) on the diagonal line.

Divide y over x to get the value of k, which is the constant of proportionality.

k = y/x

k = 4/3

k = 1.33 which is approximate

You could also pick a point like (x,y)  = (6,8) to find that

k = y/x

k = 8/6

k = 4/3

k = 1.33

Which is the same as earlier.

We can pick any point on the diagonal line as long as it's not the origin point (0,0).

The equation of this direct variation line is y = (4/3)x. It has a slope of 4/3 and a y intercept of 0. The slope of 4/3 means that each time we move up 4 on the y axis, we move to the right 3 units on the x axis.

In short, slope = rise/run = 4/3. So rise = 4 and run = 3.

For any direct variation linear equation, the slope and constant of proportionality are the same thing.

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the cost of fencing a rectangular field at rupees 30 per metre is rupees 2400 if the length of the its field is 24m than its bre
prohojiy [21]

Answer:

breadth = 8, length = 32

Step-by-step explanation:

perimeter = 2 x (length x breadth)

                = 2 x ((24 + b) + b))

                = 2 x (24 + 2b)

                = 48 + 4 b

48 + 4b meters costs rupees 2400

each meter costs rupees 30

so,

30 x (48 + 4b) = 2400

1440 + 120b    = 2400

           120b    = 960

                 b    = 8

the breadth is 8m, the length is 8 + 24 = 32m

3 0
3 years ago
PLEASE HELP For what value of the variable will the value of 2x+1 be 20 greater than 8x+5?
wlad13 [49]

It will be a negative.

for an example: -20 for x would mqke 2x + 1 into -39 and 8x + 5 into -155. that's 116 apart, so maybe -2(8) + 5 = -11

-2(2) + 1 = -3

but that's only 8 apart, so it'd be higher.

-4(2) + 1 = -7

-4(8) + 5 = -27

BOOM

Tadaaaa,

You probably thought positive, but sometimes it's negative, you know what I mean?

6 0
3 years ago
NEED THE ANSWER ASAP FOR MY TEST PLZ
Andreyy89

Answer:

The slope intercept form of a line is: y=mx+b.

Step-by-step explanation:

your answer is (a)

gimme brainliest

8 0
2 years ago
Read 2 more answers
Please answer ASAP!!!
drek231 [11]
Hi there!
------------------------
question - A 36-foot flagpole casts a 10 3/4 foot shadow, while the hospital nearby casts a 37 5/8 foot shadow. Find the height of the hospital
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if you correctly work this out the answer is:
The height of the hospital is 35 3/4 feet
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Have a nice day!
6 0
3 years ago
13. Michael deposits $800 into an account that
insens350 [35]

Answer:

800(1+.08)^1

Step-by-step explanation:

7 0
3 years ago
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