Answer:
56 hours
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
or
Let
x -----> the number of hours
y ----> the amount earned in dollars
This problem represent a proportional relationship between the variable x and the variable y
Find the value of the constant of proportionality k
For (3,27) ---->
For (9,81) ---->
For (21,189) ---->
The constant of proportionality k is 9
The linear equation is
For y=$500
substitute in the equation and solve for x
Divide by 9 both sides
Answer:
The height of the giraffe is 27.432 decimeters.
Step-by-step explanation:
To convert 1 foot to decimeters you would multiply by 3.048.
We need to multiply 9 feet by 3.048 which would give you the answer of 27.432 decimeters.
This is a ratio problem; the ratio of the length to width is constant (and therefore equal):
4 /6 = 15 / x
Now, with a ratio, we may do any allowable algebra operation: cross-multiply, invert both sides, multiply or divide both sides by the same amount, etc.
Let's cross-multiply:
4x = (15)(6)
x = 90/4
x = 22.5 in.
-3 =-2x - 7
Add 7 to both sides
4=-2x
Divide by -2
-2 = x