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:
see explanation
Step-by-step explanation:
Given the recursive formula 
= 
and
= 2 
= 
, then
= ( multiply both sides by 4 )
a₃ = 4 × = 9
= 9 ( multiply both sides by 4 )
a₂ = 36
= 36 ( multiply both sides by 4 )
a₁ = 144
The first 4 terms are
144, 36, 9, 2
You really just need the little table they provide to figure this one out, but here we go!
<span>First, you must find what class the person falls under. For this, it would be Class 3 since it is used for business purposes, but no male under 25 has driven it. You then find the premium for 100/300 under class 3, which is $549.70 and the property damage of 25,000 (The 25 in 100/300/25 means the damage in thousands), which is $98.20 and add the two together. So the total premium would be $647.90 in total annual premium.</span>
Answer:
7.125 feet
Step-by-step explanation:
1. convert both fractions to decimals by dividing numerator by denominator
10 1/2 = 10.5
3 3/8 = 3.375
2. Subtract 10.5-3.375 = 7.125 feet left
