X varies directly with y. If x is 24 when y is 36, find x when y is 132.

Mathematics

2 answers:

viktelen [127]3 years ago

6 0

Step-by-step explanation:

x = ky, where k is a real constant.

When y = 36, x = 24.

=> (24) = k(36), k = 2/3.

Hence x = (2/3)y.

When y = 132, x = (2/3)(132) = 88.

sukhopar [10]3 years ago

4 0

Answer:

see explanation

Step-by-step explanation:

Given x varies directly with y then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition x = 24 when y = 36, then

36 = 24k ( divide both sides by 24 )

1.5 = k

y = 1.5x ← equation of variation

When y = 132, then

132 = 1.5x ( divide both sides by 1.5 )

x = 88

You might be interested in

What is 40 multiplied by 10

andreev551 [17]

400 id your answer.

Thanks for the points

6 0

3 years ago

Read 2 more answers

A circle has a radius of 3 feet. What is the circumference of a bigger circle if the scale factor of the smaller to bigger is 4:

Vaselesa [24]

Big/small=4/7

r1/r2=4/7 where r1, r2 are radius of a big and small circles respectively

r1/3=4/7

r1=12/7

circumference of a big circle is2πr1=2π*12/7=24π/7 cm

7 0

3 years ago

Point A is at (-1,-9) and Point M is at (0.5,-2.5).

leva [86]

Midpoint Formula: $(\frac{x_2+x_1}{2},\frac{y_2+y_1}{2})$

So firstly, let's start with the x-coordinates. Since we know the midpoint's x-coordinate and point A's x-coordinate, we can solve for point B's x-coordinate as such:

$\frac{-1+x}{2}=0.5\\\\-1+x=1\\\\x=2$