Given that z is directly proportional to x, then:
zαx
hence;
z=kx
therefore:
k=z/x
when x=3,z=54
thus;
k=54/3
=18
hence;
z=18x
therefore the value of z when x=12 will be:
z=18*12
z=216
The answer is z=216
How do we find two equivalent ratios<span> by using multiplication and division? ... To find two </span>equivalent ratios<span> of </span>4 : 5<span> we need to apply multiplication method only to ...</span>
Answer:
see the procedure
Step-by-step explanation:
Part 1) using proportion
we know that
Miguel needs 4 gallons of milk to make 12 milkshakes
so
Using proportion
Find out how much milk he needs to make 30 milkshakes
Let
x ----> gallons of milk needed

Miguel needs 10 gallons of milk to make 30 milkshakes
Part 2) we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
or
This problem represent a proportional relationship
Let
x ----> the number of gallons of milk
y ----> the number of milkshakes
we know that
Miguel needs 4 gallons of milk to make 12 milkshakes
so
For x=4, y=12
Find out the constant of proportionality k

substitute the values

The linear equation is equal to
For y=30
substitute in the equation and solve for x
Divide by 3 both sides

The factorised expression is 5(5c-1)