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.
Answer:
Option 2 (Graph B)
Step-by-step explanation:
x ≤ ⁵/4 or x ≥ ⁵/2 represents a compound inequality containing the union of two statements. Either of the statements makes the compound inequality true.
On a graph, the small "o" indicating the start of the value of x would be full, this means ⁵/4 and ⁵/2 are included in the solutions.
Therefore, the correct graph in option 2 (Graph B), where the arrow goes from between 1 and 1.5 to your left, and the other arrow goes from 2.5 to your right.
Answer:
w = 18; l = 62
Step-by-step explanation:
The formula for perimeter of a rectangle is P = 2l + 2w, where l represents length and w represents width
We know that the length can be found using the equation l = 3w + 8
Plugging this in for l in the original formula for perimeter gives us 160 = 2 * (3w + 8) + 2w
160 = 6w + 16 + 2w
160 = 8w + 16
144 = 8w
18 = w
Plugging 18 in for the second equation gives us 3 * 18 = 54 + 8 = 62 = l
Answer:
Option B. 5 hours
Step-by-step explanation:
The tennis club charges monthly fees = $50.00
and per hour charges of court time = $10.00
Lets assume you play number of hours in a month = x hr
So, per hour charges would be = $10x
Total payment = monthly charges + charges of played hours
$100.00 = $50.00 + 10x
10x = 100 - 50
10x = 50
x = 5
Option B. You used 5 hours court time.
