Yes.
For example, the LCM of 12 and 36 is 36, because factoring these numbers gives
12 = 2^2 * 3
36 = 2^2 * 3^2
So, to match them, just multiply the twelve by 3, then they're both 36.
Answer:
Step-by-step explanation:
"When 200 gallons of oil were removed from a tank" algebraically looks like this:
V - 200.
"...the volume of oil left in the tank was 3/7 of the tank's capacity" algebraically looks like this:
3/7(V)
Therefore, the equation is
V - 200 = 3/7(V)
Begin by multiplying both sides by 7:
7(V - 200) = 3V and
7V - 1400 = 3V so
-1400 = -4V so
V = 350 gallons
That's if the volume of the oil in the tank was 3/7 of the tank's capacity.
For the other part of the problem, we set up the equation almost the same, except the 3/7 is a 1/2:
V - 200 = 1/2(V)
Multiplying both sides by 2 gives you
2(V - 200) = V and
2V - 400 = V so
-400 = -V so
V = 400
Answer:
Part A) 25
Part B) 225
Step-by-step explanation:
Part A
The slope of the graph gives us the mile per gallon of the car.
Recall that the slope of the graph is rise over run.

Therefore car gets 25 miles per gallon
Part B) Since we know the slope of the direct variation line, we substitute into y=kx to get:

To find the number of miles the car travels using 9 gallons, we substitute x=9 to get:

This gives us 225 miles
Answer:
The axis of symmetry is 
Step-by-step explanation:
we know that
In a vertical parabola, the axis of symmetry is equal to the x-coordinate of the vertex
In this problem we have a vertical parabola open upward
The x-coordinate of the vertex is equal to the midpoint between the zeros of the parabola
so

therefore
The axis of symmetry is 
Answer:
(1,4) I THINK
Step-by-step explanation: