1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kolezko [41]
3 years ago
11

If y is directly proportional to x and y = 5 when x =2, what is the value of y when x=6

Mathematics
2 answers:
sammy [17]3 years ago
7 0

Answer:

y=15

Step-by-step explanation:

The formula for direct variation is

y = kx

5 =k*2

Solve for k

Divide by 2

5/2 = k

y = 5/2 x

Now we substitute x=6

y = 5/2(6)

y = 15

Tasya [4]3 years ago
4 0

Answer:

y = 15

Step-by-step explanation:

If the variables are directly proportional, increasing one by a factor of 3 will mean the other one also increases by a factor of 3.

6 is 3 times 2, so the value of y will be 3 times 5, or 15.

___

You can write the relation as a proportion:

y/x = 5/2 = ?/6

Multiplying by 6 gives ...

(5/2)·6 = ? = 15

___

Or, you can bother with an equation relating x and y:

y = kx

5 = k·2 . . . plug in the given values and solve for k

5/2 = k . . . divide by 2

Then ...

y = (5/2)·6 = 15 . . . . same as the proportion, above.

If you rearrange this to y = 5·(6/2) then you see the relation described at the beginning of this solution. The new value of y is the old value multiplied by the factor by which x changes.

You might be interested in
How to simplify the ratio 30ml:45ml
svlad2 [7]
Since 30 and 45 can both be divided by 5, just divided them and is 6:9 and 6 and 9 can be both divided by 3,so the final answer should be 2ml:3ml
4 0
4 years ago
Read 2 more answers
What is 327÷36 for math class
vfiekz [6]
That's easy 327 <span>÷ 36 is  9.083</span>
4 0
3 years ago
Read 2 more answers
The quantity demanded each month of the walter serkin recording of beethoven's moonlight sonata, manufactured by phonola media,
Olenka [21]
We can get the Profit function P(x) from the Hint. 

the Profit function is: P(x) = xp(x) - C(x) = -0.00041 x2 + 4x - 600
Attention: don't get confuse by the <span>big P of the profit with the small p of the price</span> To calculate the maximum profit, we need to find the derivative of P(x) then set it to 0 then find x: dP(x)/dx = -0.00082 x + 4 = 0 ,   so x = 4/0.00082 = 4,878 copies each month.
7 0
3 years ago
Find the slope of
Anon25 [30]

Answer:

(8,-9)

Step-by-step explanation:

using the principle of vectors, you match each number to their coordinates and add them

so we have (7+1,-12+3)

which is equal to (8,-9)

8 0
3 years ago
Read 2 more answers
Scores on a final exam taken by 1200 students have a bell shaped distribution with mean=72 and standard deviation=9
SVETLANKA909090 [29]

Answer:

a. 72

b. 816

c. 570

d. 30

Step-by-step explanation:

Given the graph is a bell - shaped curve. So, we understand that this is a normal distribution and that the bell - shaped curve is a symmetric curve.

Please refer the figure for a better understanding.

a. In a normal distribution, Mean = Median = Mode

Therefore, Median = Mean = 72

b. We have to know that 68% of the values are within the first standard deviation of the mean.

i.e., 68% values are between Mean $ \pm $ Standard Deviation (SD).

Scores between 63 and 81 :

Note that 72 - 9 = 63 and

72 + 9 = 81

This implies scores between 63 and 81 constitute 68% of the values, 34% each, since the curve is symmetric.

Now, Scores between 63 and 81 = $ \frac{68}{100} \times 1200 $

= 68 X 12 = 816.

That means 816 students have scored between 63 and 81.

c. We have to know that 95% of the values lie between second Standard Deviation of the mean.

i.e., 95% values are between Mean $ \pm $ 2(SD).

Note that 90 = 72 + 2(9) = 72 + 18

Also, 54 = 63 - 18.

Scores between 54 and 90 totally constitute 95% of the values. So, Scores between 72 and 90 should amount to $ \frac{95}{2} \% $ of the values.

Therefore, Scores between 72 and 90 = $ \frac{95}{2(100)} \times 1200 = \frac{95}{200} \times 1200  $

$ \implies 95 \times 12 $ = 570.

That is a total of 570 students scored between 72 and 90.

d. We have to know that 5 % of the values lie on the thirst standard Deviation of the mean.

In this case, 5 % of the values lie between below 54 and above 90.

Since, we are asked to find scores below 54. It should be 2.5% of the values.

So, Scores below 54 = $ \frac{2.5}{100} \times 1200 $

= 2.5 X 12 = 30.

That is, 30 students have scored below 54.

8 0
3 years ago
Other questions:
  • What is 2.81 rounded to the nearest hundredth
    7·2 answers
  • Maggie colors a figure in the shape of a trapezoid.The trapezoid is 6 inches tall.The bases are 4.5 inches and 8 inches.What is
    10·1 answer
  • Ruby tosses a quarter off the main stree bridge into the St. John's River. The distance, in feet, the quarter is above the water
    5·1 answer
  • How do you find the surface area of a pyramid
    11·1 answer
  • In the 2014\,\text{-}\,20152014-20152014, start text, negative, end text, 2015 season of the English Premier League, there were
    6·1 answer
  • Solve the problem. Check answers to be sure they are reasonable.
    6·1 answer
  • A whale is at the surface of the ocean to breathe. What is the whale’s elevation?
    10·2 answers
  • What is the solution of the equation 6x-3 = -51?<br> А. -9<br> B. -8<br> с. 8<br> D. 9
    14·2 answers
  • Find the surface area of a cylinder with a base radius of 2 in and a height of 5 in
    12·1 answer
  • If there are 2 blue, 5 yellow, and 3
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!