Answer:
$313.78
Step-by-step explanation:
Gallons of water are leaked in one year is 94.253 gallons
<h3><u><em>
Solution:</em></u></h3>
Given that leaky faucet drips 356,755 mL of water over the course of the year
There are approximately 3,785 mL in 1 gallon.
To find: gallons of water are leaked in one year
From given information,
Amount of water leaked in one year in ml = 356,755 mL
Also given in question that,
<h3>
1 gallon = 3785 ml</h3>
![1 \text{ ml} = \frac{1}{3785} \text{ gallons}](https://tex.z-dn.net/?f=1%20%5Ctext%7B%20ml%7D%20%3D%20%5Cfrac%7B1%7D%7B3785%7D%20%5Ctext%7B%20gallons%7D)
<em><u>Now we can convert 356,755 mL to gallons</u></em>
![356,755 \text{ ml} = \frac{1}{3785} \times 356755 \text{ gallons}\\\\356,755 \text{ ml} = 94.253 \text{ gallons}](https://tex.z-dn.net/?f=356%2C755%20%5Ctext%7B%20ml%7D%20%3D%20%5Cfrac%7B1%7D%7B3785%7D%20%5Ctimes%20356755%20%5Ctext%7B%20gallons%7D%5C%5C%5C%5C356%2C755%20%5Ctext%7B%20ml%7D%20%3D%2094.253%20%5Ctext%7B%20gallons%7D)
Thus gallons of water are leaked in one year is 94.253 gallons
Answer:
132
Step-by-step explanation:
48 first hit and rises 24
24 second and rises 12
12 third hit and rises 6
6 forth hit
48+24+24+12+12+6+6= 132
Answer:
The committee of 8 members can be selected in 990,675 different ways.
Step-by-step explanation:
The order in which the teachers and the students are chosen is not important, which means that the combinations formula is used to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
![C_{n,x} = \frac{n!}{x!(n-x)!}](https://tex.z-dn.net/?f=C_%7Bn%2Cx%7D%20%3D%20%5Cfrac%7Bn%21%7D%7Bx%21%28n-x%29%21%7D)
In this question:
4 teachers from a set of 6.
4 students from a set of 37.
Then
![T = C_{6,4}C_{37,4} = \frac{6!}{4!2!} \times \frac{37!}{4!33!} = 990675](https://tex.z-dn.net/?f=T%20%3D%20C_%7B6%2C4%7DC_%7B37%2C4%7D%20%3D%20%5Cfrac%7B6%21%7D%7B4%212%21%7D%20%5Ctimes%20%5Cfrac%7B37%21%7D%7B4%2133%21%7D%20%3D%20990675)
The committee of 8 members can be selected in 990,675 different ways.