Answer: the fuel efficiency of the first car is 20 miles per gallon.
the fuel efficiency of the second car is 15 miles per gallon.
Step-by-step explanation:
Let x represent the number of miles per gallon of the first car.
Let y represent the number of miles per gallon of the second car.
During one particular week, the first car consumed 20 gallons of gas and the second consumed 15 gallons of gas. The two cars drove a combined total of 625 miles. It means that
20x + 15y = 625- - - - - - - - - - 1
The sum of their fuel efficiencies was 35 miles per gallon. It means that
x + y = 35
Substituting x = 35 - y into equation 1, it becomes
20(35 - y) + 15y = 625
700 - 20y + 15y = 625
- 20y + 15y = 625 - 700
- 5y = - 75
y = - 75/ - 5
y = 15
x = 35 - y = 35 - 15
x = 20
Answer:
Let C represent the total cost of each deal
Let T be the number of trips down the water slide
C = 32 for the 1st deal since the cost is the same regardless of how much she rides
C = 18 + T for the 2nd deal
To find when the two costs are equal set them equal to each other and solve for T
32 = 18 + T
T = 14 trips
The cost must be $32 since that is the only cost possible for the 1st deal
Step-by-step explanation:
Answer:
|−∣=7
Explanation:
∣−∣
= |(-2-5)|
= |-2-5|
= | -7|=7
Answer:
20
Step-by-step explanation:
60+x+100=180 is the equation we are asked to solve.
Using commutative property of addition you can rewrite as:
x+60+100=180
Using associative property of addition you can rewrite as:
x+(60+100)=180
Combine like terms/simplify:
x+(160)=180
x+160=180
Use subtraction property of equality to rewrite as:
x+160-160=180-160
Simplify both sides:
x+0=20
Apply the additive identity property:
x=20
So x=20.
Check.
60+x+100=180 with x=20:
60+20+100=180
80+100=180
180=180
The last line I have here is true so x=20 has been verified as the solution.
