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Lorico [155]
3 years ago
10

suppose that y varies directly as x . if y is 24 when x is 6, find the constant of variation and the direct variation equation

Mathematics
1 answer:
Reika [66]3 years ago
3 0

Answer:

Step-by-step explanation:

Direct variation can be modeled by y = kx where k is the constant of variation!

So to solve for k all we need to do is substitute in the value for y and x that are given.

So according to the problem y = 24 when x = 6

24 = 6k

Divide both sides by 6

k = 4

So the constant of variation is 4

The direct variation equation would then be

y = 4x

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I need help finding y
denpristay [2]

Answer:

y = 9.8995

Step-by-step explanation:

This question requires the use of basic trigonometry.

In this problem, we know one of the sides and two of the angles.

Since one of the angles is 45 degrees and the sum of all internal angles of a triangle is 180 degrees, the other angle can only be 45 degrees, making this an isosceles triangle - that is, the length of the other leg, x, is also 7.

You could use the soh cah toa mnemonic to figure it out, but here just using the a^2 + b^2 = c^2 should be sufficient since we know both legs of the triangle.

7^2 + 7^2 = 98, and the square root of 98 gives you about 9.8995, which sounds about right for this situation.

Hope this helped!

4 0
3 years ago
Samuel has a collection of toy cars. His favorites are the 27
BlackZzzverrR [31]
Hey! If 27 cars make up 60%, divide that by 6 to get 10% of the answer which is 4.5. Multiply 4.5 by 10 to get 100% which is 45 cars for 100%.


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4 0
3 years ago
On Monday, a localamburger shop said a combined total of 225 hamburgers and cheeseburgers. The number of cheeseburgers sold was
zheka24 [161]

Answer:

h = hamburgers sold

2h - 72 = 578

2h = 650

2       2

h = 325

There were 72 fewer cheeseburgers sold than hamburgers. That means cheeseburgers = 325 - 72

325 - 72 =  253

253 = cheeseburgers

325 = hamburgers

253 + 325 = 578

Hamburgers = 325

Hope this helps :)

4 0
3 years ago
PLEASE ANSWER THIS QUESTION AND EXPLAIN IF YOU CAN
jekas [21]
Factor out -1
-1(x^2+x-6)

Factor the inner trinomial
-1(x+3)(x-2)

Final answer: B
6 0
3 years ago
Read 2 more answers
Parker marks sixths on number line. He writes 5/6 just before 1. What fraction does he write on the first mark to the right of 1
VashaNatasha [74]

Answer: 7/6

Step-by-step explanation:

If he is writing sixths, then we have multiples of 1/6.

this is:

0*(1/6) = 0

1*(1/6) = 1/6

.

.

.

5*(1/6) = 5/6 (the numer he wrote at the left of 1)

6*(1/6) =  6/6 = 1

7*(1/6) = 7/6

So the number next to 1, (at the right of 1) must be 7/6.

You also can find it by adding 1/6 to 1.

1/6 + 1 = 1/6 + 6/6 = 7/6.

4 0
3 years ago
Read 2 more answers
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