FInd the circumference of the tire:
C = 2 x PI x r
C = 2 x 3.14 x 14
C = 87.92 inches.
For every revolution of the tire it travels 87.92 inches.
In one minutes the car travels 87.92 x 120 = 10,550.4 inches.
In 5 minutes the car travels 10550.4 x 5 = 52,752 inches.
52,752 / 12 = 4,396 feet
1 mile = 5280 feet
4396 / 5280 = 0.833 miles
I calculated 3 different measurements. Use the one needed.
Answer:
I think the answer is 5/3
Step-by-step explanation:
Answer:
M of aftershock = 4.90
Step-by-step explanation:
5.6 = log(x/1)
1/5 * 398,107.1 = 79,621.4
79,621.4
m = log (79,621.4) = 4.90
Answer:
No solutions exist because the situation describes two lines that have the same slope and different y-intercepts.
Step-by-step explanation:
Let larger number be X and smaller one be Y.
The two equations are :-
X = 2Y + 3
X = 2Y + 1
As you can tell, the slopes are the same and the y-intercepts are different. So, they will not intersect. Therefore, no solutions exist for this situation.
Answer:
The volume of the solution with 20% acid is 27 gallons and the one with 10% acid is 18 gallons
Step-by-step explanation:
Myra needs to mix "x" gallons of the solution with 20% and "y" gallons of the solution with 10%. The volume of the final solution must be 45 gallons, therefore:
x + y = 45
The concentration of acid of the final solution is:
0.2*x + 0.1*y = 45*0.16
0.2*x + 0.1*y = 7.2
Therefore we have a system of equation:
x + y = 45
0.2*x + 0.1*y = 7.2
We need to multiply the first equation by -0.1:
-0.1*x -0.1*y = -4.5
0.2*x + 0.1*y = 7.2
We now sum both equation:
0.1*x = 2.7
x = 2.7/0.1 = 27 gallons
y = 45 - 27 = 18 gallons
