Given that the amount of time varies inversely with G.
It can be written as,

where K is the constant.
We need to determine the time it takes to put out the fire when 200 gallons of water are used.
<u>The value of constant:</u>
When
, we get;


Thus, the value of constant is 96.
<u>Time taken:</u>
Substituting
and
in the formula
, we get;

Thus, the time taken to put out the fire using 200 gallons of water is 48 minutes.
Hence, Option B is the correct answer.
Answer:
2x³+3x²-8x+3
Step-by-step explanation:
So we know x=½,x=1 and x=-3
Then (2x-1)(x-1)(x+3) are the factors
(2x-1)[(x²+3x-x-3)]
(2x-1)[(x²+2x-3)]
2x³+4x²-6x-x²-2x+3
2x³+3x²-8x+3
To complete the table it is necessary to know the possibilities that the sergeant has to change or remain in an intersection. The probabilities (depending on the box) are:
<h3>How to calculate the probability of intersection change?
</h3>
To know the probability of intersection change, it is necessary to locate the police officer at one of the intersections. Subsequently, count how many possibilities of change you have, for example: 3 possibilities and finally add the possibility of remaining in the intersection as shown below:
- Intersection 3 has 3 possibilities of changing towards intersections 2, 8 and 4. Additionally, it has the possibility of staying at intersection 3, that is, it has 4 possible decisions.
To know the probability we divide the number 1 (because it is only a decision that we have to make) and divide it by the number of possibilities (4).
According to the image we can infer that in some intersections they only have 3, 4 and 5 possibilities, so the probability of change will be different as shown below:
- 1 ÷ 3 = 0.33
- 1 ÷ 4 = 0.25
- 1 ÷ 5 = 0.2
Learn more about probabilities in: brainly.com/question/8069952
Answer:
x = 24
Step-by-step explanation:
x +
x = 36
Make the denominator the same by multiplying the first fraction by 2 to make both denominators 6.
x +
x = 36
Now we can calculate the numerators and keep the denominators the same.
x = 36
Find x.
x =
× 36
x = 24
Multiply the second fraction by three.
4/9 + 3/9 = 7/9