The variable z is directly proportional to x, and inversely proportional to y. when x is 8 and y is 18, z has the value 1.3333333333333. what is the value of z when x= 13, and y= 22

The variable z is directly proportional to x, and inversely proportional to y.

and

So,

where, k is the constant of proportionality.

When, x=8 and y=18, z is 1.33.

So, plugging x,y and z in z=k\frac{x}{y} to get the value of k we get,

To isolate, k let us multiply by 18 on both sides

1.33*18=k

23.99=k

So, 23.99=8k

To solve for k, let us divide by 8 on both sides

2.99=

k=3

Let us plug k=3, x=13 and y=22 to solve for z

z=

z=1.77

z=1.77

i can you with this sweetie!

step-by-step explanation:

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.