Answer:
216 miles
Step-by-step explanation:
Let's set up a proportion using the following setup.
miles/gallons=miles/gallons
We know the car can travel 156 miles on 13 gallons. We don't know how many miles the car can travel on 18 gallons, so we can say the car can travel x miles on 18 gallons.
156 miles/13 gallons=x miles/18 gallons
156/13=x/18
We want to find out what x is. Therefore, we have to get x by itself. x is being divided by 18. The inverse of division is multiplication, so we can multiply both sides by 18.
18*156/13=x/18*18
18*156/13=x
18*12=x
216=x
x=216 miles
The car can travel 216 miles on 18 gallons of gas.
Answer: √72 or 8.49 units when rounded to the nearest hundredth.
Explanation: Because we have the endpoints if a segment and want to find the length of the entire segment, we need the distance formula.
Its general equation is √(x2-x1)+(y2-y1)
Substituting gives us √(-1-5)^2+(-9-(-3)^2
Simplifying gives us √36+36 which is √72
Also this is just a simple thing that some people forget: When you have parentheses, the exponent is distributed to everything inside including the negative. This is why we did not have a negative answer like -36 after simplifying.
Answer:
A.) -5 1/6
Step-by-step explanation:
I have to assume that this is a mixed fraction meaning:
-
First I will convert this mixed fractions into improper fractions to make the math easier:
How many times does 6 go into 31? 6x5=30 which leaves remainder 1 and so our answer will be