Step-by-step explanation:
The answer: -1/2
2-3/4-2= -1/2
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:
The first option is correct, 12/30 and 25/30
Step-by-step explanation:
To get common denominators, you need to find the GFC (greatest common factor) of 5 and 6, which is 30. Then you would need to make the fractions equal the same as the original fractions, by multiplying.
2/5 = ?/30 <- you can see that 30 is 6 times more than 5. so this means you multiply 2 by 6 to get 12. 12/30
5/6 = ?/30 <- you can see that 30 is 5 times more than 6. so this means you multiply 5 by 5 to get 25. 25/30
Step-by-step explanation:
There are infinitely many such integers.
x - y = -6 <em>add y to both sides</em>
x = -6 + y → x = y - 6
1. Choose any y value.
2. Substitute for the equation.
3. Calculate the value of x.
Examples:
for y = 0 → x = 0 - 6 = -6
check: -6 - 0 = -6
for y = 10 → x = 10 - 6 = 4
check: 4 - 10 = -6
for y = -9 → x = -9 - 6 = -15
check: -15 - (-9) = -15 + 9 = -6
