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
It would be 10 because With Nancy, y=4x+30, 30 is the membership fee which is 10 less than Jessicas membership fee of 40.
Yes because they are constant throughout the table.
Answer:
Step-by-step explanation:
Since we're dividing the polynomial by 
, we'll be using -1 to start the division.
Before setting the division up, let's list the coefficients of 
from descending powers and the constant.
The coefficient of 
is 3
Since we don't see an 
, the coefficient will be 0.
The coefficient of is 5.
Lastly, the constant, which is the term without the is -1.
Refer to the attached picture before continuing.
After referring to the picture, we now have the coefficients for the quotient.
The coefficient of is 3.
The coefficient of is -3.
The constant is 8.
Lastly, since the last number is not zero, it's the remainder just like regular division. This can be tricky to remember, but -9 is not the actual remainder.
The remainder is actually 
.
Now putting all the pieces together, we get:
