Total gasoline = 10 gallons
Gasoline left after 100 miles = 5 gallons
Gasoline used in 100 miles
= Total gasoline - Gasoline left after 100 miles
= 10 gallons - 5 gallons
= 5 gallons
Gasoline used in 1 mile
= Gasoline used in 100 miles/100
= 5 gallons/100
= 0.05 gallons
Scale factors of negative numbers are contractions
scale factors of numbers greater then 1 are expansions
scale factors of numbers greater then 0 but less then 1 are contractions
Answer:
y = - 
x + 11
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - , then
y = - x + c ← is the partial equation
To find c substitute (8, - 9) into the partial equation
- 9 = - 20 + c ⇒ c = - 9 + 20 = 11
y = - x + 11 ← equation of line
Given two points: A(x₁,y₁) and B(x₂,y₂), the slope of the line that passes through these points will be:
m=(y₂-y₁)/(x₂-x₁)
If we take two points of this line (3,0) and (3,1) and calculate the slope, we have:
m=(1-0)(0/0)=1/0 (any number divided by zero gives an indetermined value).
Therfore the slope is undefined.
Answer: D The slope is undefined.
In the x quarts of 2% fat milk, there is 0.02x quarts of fat.
in the y quarts of 4% fat milk there is 0.04y quarts of fat.
together, there is (x+y) quarts of milk, and 0.24 quarts of fat.
the equations are:
x+y=9
0.02x+0.04y=0.24
multiply the first equation with 0.02: 0.02x+0.02y=0.18
subtract this new equation from equaition 2 to eliminate x:
0.04y-0.02y=0.24-0.18
0.02y=0.06
y=3
x=9-3=6
x is twice as much as y.
He used twice as much as the 2% fat milk than the 4% fat milk.
so the first choice is the correct answer.
