Answer:
y = 1/9 x z^3
Step-by-step explanation:
y is jointly proportional to x and z^3
y = k * x * z^3 where k is the constant of proportionality
y =12, x = 4 and z =3
12 = k * 4 * 3^3
12 = k * 4 * 27
12 = k * 108
12/108 = k
1/9 = k
y = 1/9 x z^3
Set up a ratio with height over shadow height:
40/30 = x/15
Cross multiply:
40 x 15 = 30x
600 = 30x
Divide both sides by 30:
X = 20
The tree is 20 feet tall.
Different
slot method
1st slot has 6 options to chose from
2nd slot has 5 since 1 is gone to slot 1
3rd slot has 4 since 2 are gone to 1st and 2nd slots
so it is
6 times 5 times 4=120
answer is 120 ways
Answer:

Step-by-step explanation:


collect and combine like terms:


Apply the distributive law
:

collect and combine like terms:

Answer:

Step-by-step explanation:
<u><em>The complete question in the attached figure</em></u>
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
or 
In this problem, we have a proportional relationship between the average speed (x) and the time (y)
Find the constant of proportionality k
Fox =32, y=5

substitute

we have

therefore
