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
Hi there! :)
Find the central angle using a ratio in regards to angle and circumference.
The radius is 27 units, so use the following equation to calculate circumference:
C = 2rπ
Therefore:
C = 2(27)π = 54π
Since we have the total circumference, we can write the following proportion:
Cross multiply:
54πx = 6480π
Divide both sides by 54π to isolate for x:
x = 120°
Answer:
1
0.8
0.4
Step-by-step explanation:
y = 5x
Substituting '5':
5 = 5x
x = 5/5
x = 1
Substituting 4:
4 = 5x
x = 4/5
x = 0.8
Substituting 2:
2 = 5x
x = 2/5
x = 0.4
Answer:
D
Step-by-step explanation:
A is not, because 2-5x = -5x+2
(nothing has changed but the order)
B is not, because 3-5+2x = 2x-2
because 3-5 = -2. so -2+2x can be rewritten as 2x-2.
C is not, because 5x-2x = 3x
because you combine like terms, and 5-2 is 3
D <em>i</em><em>s</em><em>,</em> because 2x-2+3x = 5x-2
because you combine like terms (2x+3x=5x) and -2 is left.
Answer:
<u>y-intercept</u><u> </u><u>is</u><u> </u><u>(</u><u>0</u><u>,</u><u> </u><u>-</u><u>2</u><u>1</u><u>)</u>
Step-by-step explanation:
For y-intercept, x = 0:
