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JulijaS [17]
2 years ago
6

The quantities xxx and yyy are proportional. xxx yyy 777 353535 121212 606060 202020 100100100 Find the constant of proportional

ity (r)(r)left parenthesis, r, right parenthesis in the equation y=rxy=rxy, equals, r, x. r =r=r, equals
Mathematics
1 answer:
Zielflug [23.3K]2 years ago
7 0

The constant of proportionality of our given tables is; 5.

<h3>How to find the constant of Proportionality?</h3>

We are given that x and y are proportional, and this means that:

y = r*x

where;

r is the constant of proportionality.

We are given the table;

x    y

7    35

12   60

20   100

Now, we can replace those values in our equation and get, for the first pair: 35 = r*7

r = 35/7 = 5

For the second pair:

60 = r*12

60/12 = r

r = 5

Thus, we can conclude that the constant of proportionality is 5.

Read more about Constant of Proportionality at; brainly.com/question/20290730

#SPJ1

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Select the correct answer from each drop-down menu.
olganol [36]

The system of inequalities is:

y ≤ -0.05*x^2 + 6x

y >  1.5x + 45

(30, 90) is not a solution of that system, while (60, 160) is a solution.

<h3>How to get the system of inequalities?</h3>

We know that the revenue y is given by:

y ≤ -0.05x^2 + 6x

And we know that the costs are 1.5x + 45, and the revenue must be larger than that, so we also have the inequality:

y >  1.5x + 45

So the system is:

y ≤ -0.05*x^2 + 6x

y >  1.5x + 45

Now, the point (30, 90) means that we need to replace x by 30 and y by 90, replacing that in the second inequality, we will get:

90 > 1.5*30 + 45 = 90

90 > 90

This is false, so the point is not a solution of this inequality, meaning that the point is not a solution of the system.

For the second point we do the same: x= 60, y = 160, replacing that in the second inequality we get:

160 > 1.5*60 + 45 = 135

160 > 135

This is true, now we need to check with the other inequality.

160 ≤  -0.05*60^2 + 6*60 = 180

This is also true.

So the point (60, 160) is a solution to the system.

If you want to learn more about systems of inequalities, you can read:

brainly.com/question/9774970

8 0
1 year ago
Read 2 more answers
A car moves a distance of 100m in 12 seconds. what is the average speed in km/h​
Maksim231197 [3]

Answer:

30km/h.

Step-by-step explanation:

100m/12s = 0.1km/12s

There are 3600 seconds in an hour.

0.1km/12s = 30km/h.

5 0
3 years ago
Which statements are true about points A, B, and C? Check all that apply.
Sonja [21]

Answer:

We need a graph or table or whatever came with this question

Step-by-step explanation:

4 0
3 years ago
B - a b equals 2 1/3 a equals 1 1/2
Anvisha [2.4K]

Answer:

Step-by-step explanation:

5/6

8 0
3 years ago
Please answer this math question !! thank u dears !! 20 points and brainliest !!
Romashka-Z-Leto [24]

Answer:

The student ticket is 200 and the adults is 550

Step-by-step explanation:

So the set up is :

750 = x + y

5300 = 8x + 4.5 y

x will be adults and y will be students

Assuming you don't have calculator then you want to be able to eliminate either x or y from this system. The easiest is X cause its a whole number.

So multiply all the numbers from the first equation by 8 which gives

6000 = 8x + 8 y

5300 = 8x + 4.5 y

Then subtract the numbers (6000-5300 and 8x-8x and 8y-4.5y)

which gives :

700 = 3.5y

Solve for y = 200

and plug 200 back into any equation to solve for X

750 = x + 200

x = 550

6 0
3 years ago
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