So to find the area you should draw a line to make a right triangle then take the area of the 3 figures and add them together. See the picture.
Answer:
The number of miles her car travel per gallon of gas is 38 miles per 1 gallon of gas
Step-by-step explanation:
Given
Size of Gas = 12 gallon of gas
Distance = 456 miles
Calculating the number of miles her car travel per gallon of gas.
This in calculated by distance/size of gas
By substituton, it becomes
Number of miles = 456 miles/12 gallons ------ divide
Number of miles = 38 miles / gallon.
Hence, the number of miles her car travel per gallon of gas is 38 miles per 1 gallon of gas
Answer:
-6(x-2)=-7(x-3) = False x = 9
Step-by-step explanation:
Solve for x:
-6 (x - 2) = -7 (x - 3)
Expand out terms of the left hand side:
12 - 6 x = -7 (x - 3)
Expand out terms of the right hand side:
12 - 6 x = 21 - 7 x
Add 7 x to both sides:
7 x - 6 x + 12 = (7 x - 7 x) + 21
7 x - 7 x = 0:
7 x - 6 x + 12 = 21
7 x - 6 x = x:
x + 12 = 21
Subtract 12 from both sides:
x + (12 - 12) = 21 - 12
12 - 12 = 0:
x = 21 - 12
21 - 12 = 9:
Answer: x = 9
x² + 3x - 10 = 0
x = -(3) ± √((3)² - 4(1)(-10))
2(1)
x = -3 ± √(9 + 40)
2
x = -3 ± √(49)
2
x = -3 ± 7
2
x = -3 + 7 U x = -3 - 7
2 2
x = 4 U x = -10
2 2
x = 2 U x = -5
Solution Set: {2, -5}
Since they're both already in terms of y, you can just set them equal to each other.
4x = 1/2x + 280
3.5x = 280
x = 80
So 80 would be the amount he needs to sell to make the cost and revenue equal each other.
