Answer:x=-3
Step-by-step explanation:
Factor and set each factor equal to zero.
Answer:
h
(
−
7
)
=
−
7
Step-by-step explanation:
Answer:
3600 gallons of water was removed from the basement.
Step-by-step explanation:
Given:
Rate of each pump = 40 gallons/min
We need to find find the number of gallons of water removed from the basement.
Solution:
Now Given:
After half an hour, the one pump burns out.
Now we know that;
1 hour = 60 mins
hour = ![\frac{60}{2}=30\ mins](https://tex.z-dn.net/?f=%5Cfrac%7B60%7D%7B2%7D%3D30%5C%20mins)
Now for 30 mins both the pumps were working and removing the water.
So we can say that;
Water remove for first 30 mins = ![40\times2\times30=2400\ gallons](https://tex.z-dn.net/?f=40%5Ctimes2%5Ctimes30%3D2400%5C%20gallons)
Also Given:
the second pump finishes removing the water half an hour later.
So we can say that;
Water removed for next 30 mins = ![40\times 30\times1 =1200\ gallons](https://tex.z-dn.net/?f=40%5Ctimes%2030%5Ctimes1%20%3D1200%5C%20gallons)
Now we can say that;
Total water removed from the basement is equal to sum of Water remove for first 30 mins and Water removed for next 30 mins .
framing in equation form we get;
Total water removed from the basement = ![2400+1200=3600\ gallons.](https://tex.z-dn.net/?f=2400%2B1200%3D3600%5C%20gallons.)
Hence 3600 gallons of water was removed from the basement.
Answer:
a) <u>7</u>b+<u>6</u>=<u>97</u>
b)b=13
Step-by-step explanation:
Total cost = $97
Cost of each book = $7
Cost of shipping =$6
Therefore ,
Cost of the total no. of books+ Cost of shipping = Total Cost
=>7b+6= 97 <------- Answer to part(a)
=>7b=97-6
=>7b=91
=>b=13
No. of books = 13 <--------- Part (b)