Answer:
It will take 6 hours for the new pump to drain the pool.
Step-by-step explanation:
As the complete question is not given, the complete question is found online and is attached herewith
Let the rate of new pump is given as x=W/t_1
Let the rate of the old pump is given as y=W/t_2
it is given that the time t_2=2t_1
So by substituting the values of t_2 in the rate equation of y
y=W/2t_1
y=(W/t_1*2)=x/2
Also the total rate of both the pumps is given as W/t3 where t3 is given as 4 hours so the equation becomes
x+y=W/4
x+x/2=W/4
3x/2=W/4
As x=W/t_1
3W/2t_1=W/4
Now as W is same on both sides so
3/2t_1=1/4
12=2t_1
t_1=6 hours
So it will take 6 hours for the new pump to drain the pool.
There should be 1,400 pages in an order that costs the same for both companies.
Let x be the unknown number of pages.
1st Company = 42 + 0.05x
2nd Company = 0.08x
0.08x = 42 + 0.05x
0.08x - 0.05x = 42
0.03x = 42
0.03x / 0.03 = 42 / 0.03
x = 1400 pages
To check
0.08x = 42 + 0.05x
0.08 (1400) = 42 + (0.05 * 1400)
112 = 42 + 70
112 = 112
Answer:
14/9 or 1.555556
Step-by-step explanation:
1) Simplify 1 + 1/3 to 4/3.
(4/3)^2 - 2/9
2) Use Division Distributive Property: (x/y)^a = x^a/y^a.
4^2/3^2 - 2/9
3) Simplify 4^2 to 16.
16/3^2 - 2/9
4) Simplify 3^2 to 9.
16/9 - 2/9
5) Simplify.
14/9
(Decimal form: 1.555556)
Thanks, Eddie
She did not multiply both sides of the equation by 2.
2x-6y =-2
<u>+ 2x+6y=3
</u><u /> 4x =1
x=1/4
y=5/12