All categories

3 years ago

If y varies directly with x when y=1/3 and x = 12, find x if y is 4.

Mathematics

1 answer:

Nikitich [7]3 years ago

6 0

Answer:

x = 144

Step-by-step explanation:

y α x

we introduce a constant 'k' when changing from α to =.

i.e y = kx

y = ⅓ when x = 12

Meaning, ⅓ = k * 12

⅓ = 12k

k = ⅓ ÷ 12

k = 1/36

If y = 4, x = ?

using the equation y = kx

4 = (1/36)x

x = 4 ÷ (1/36)

x = 4 * 36

x = 144

You might be interested in

A teacher announce that from the 35 students in the class, 28 passed the first quiz,30 passed the second quiz, and 25 passed bot

Law Incorporation [45]

Answer:

5 students

Step-by-step explanation:

.............,

5 0

2 years ago

I'm trying to pass my performance task and finish high school and I have no idea what it really is asking me to do, rather how t

ElenaW [278]

Answer:

−

256

Rewrite

(

)

(

)

−

256

Rewrite

256

(

)

−

Since both terms are perfect squares, factor using the difference of squares formula,

−

(

)

(

−

)

where

and

(

)

(

−

)

Simplify.

Tap for more steps...

(

)

(

)

(

)

(

−

)

Step-by-step explanation:

3 0

3 years ago

I’m sure this is easy but i'm gonna ask anyway

Arada [10]

No, it's always okay to ask if you don't understand a question. Anyway, for this problem, we just have to plug in the value for <em>V </em>to solve for <em>P</em> :

$P = 4V^{ \frac{1}{3}} \\ P = 4(125)^{ \frac{1}{3}}$

A number to the power of 1/3 is the same as taking a cube root.

$P = 4(125)^{ \frac{1}{3}} \\ P = 4(5) \\ P=20$

The perimeter of one face of the cube is 20m.

5 0

3 years ago

X + 2(y-6) = 0

Karo-lina-s [1.5K]

2x - z = 4
6x - 5z = 18
3z - 2w = -18
If u want me to solve them it’s
1. X = -2y + 12
2. x = 10 - 4/3y | for y, y = 15/2 - 3/4x
3. x = 2+ 1/2z | for z , z = -4 + 2x
4. x = 3 + 5/6z | for z , z = - 18/5 + 6/5x
5. W = -3/2x + 13/2 | for x , x = -2/3w + 13/3
6. x = -5w + 13 | w = -1/5x + 13/5

5 0

2 years ago

Explain how to use proportional reasoning to find 35% of 600

Sauron [17]

$\frac{35}{100} = \frac{x}{600}$

This is the equation we would use for this problem.

Now when we cross multiply, we get:
35(600)=100x

Simplify:
21000=100x

Divide each side by 100 to get x b itself:
210=x

So, as you can see, 210 is 35% of 600

8 0

3 years ago