So first, you need to separate the expression and numbers. For me, i would prefer putting the expressuon on the left hand side and numbers on the right hand side. this will make the solving more clearer and easier to solve.
10p+5=18p-62
10p-18p=-62-5
-8p =-67
p= 8.375
the answer should be
p= 8.375. but however it is not in the option.
Answer:
1
Step-by-step explanation:
It is certain that the number rolled will be less than 14, so the probability is 1.
Answer:
a) 4106.25 gallons
b) $46
Step-by-step explanation:
We are given the following in the question:
Leakage rate of faucet = 1 oz per minute
Cost of water = $11.20 per 1000 gallons
1 gallon = 128 oz
a) water are wasted in a year
1 hour = 60 minutes
1 day = 24 hours
1 year = 365 days
![1\text{ year} = 365\times 24\times 60\text{ minutes}\\1\text{ year} = 525600\text{ minutes}](https://tex.z-dn.net/?f=1%5Ctext%7B%20year%7D%20%3D%20365%5Ctimes%2024%5Ctimes%2060%5Ctext%7B%20minutes%7D%5C%5C1%5Ctext%7B%20year%7D%20%3D%20525600%5Ctext%7B%20minutes%7D)
Amount of water wasted =
![\text{Leakage rate}\times \text{Time}\\=1 \times 525600\\=525600\text{ oz}\\\\=\dfrac{525600}{128}\\\\=4106.25\text{ gallons}](https://tex.z-dn.net/?f=%5Ctext%7BLeakage%20rate%7D%5Ctimes%20%5Ctext%7BTime%7D%5C%5C%3D1%20%5Ctimes%20525600%5C%5C%3D525600%5Ctext%7B%20oz%7D%5C%5C%5C%5C%3D%5Cdfrac%7B525600%7D%7B128%7D%5C%5C%5C%5C%3D4106.25%5Ctext%7B%20gallons%7D)
Thus, 4106.25 gallons of water is wasted every year.
b) additional money spent
![=\time{Cost}\times \text{Amount of water wasted}\\\\= \dfrac{11.20}{1000}\times 4106.25\\\\=45.99\$ \approx 46\$](https://tex.z-dn.net/?f=%3D%5Ctime%7BCost%7D%5Ctimes%20%5Ctext%7BAmount%20of%20water%20wasted%7D%5C%5C%5C%5C%3D%20%5Cdfrac%7B11.20%7D%7B1000%7D%5Ctimes%204106.25%5C%5C%5C%5C%3D45.99%5C%24%20%5Capprox%2046%5C%24)
Thus, approximately $46 is the additional money spent on water bill.