The time taken for the smaller pipe to fill the pool by itself is 15.71 hours
<h3>Rate of work</h3>
- Time taken for both pipes = 6 hours
- Time taken for long pipe = x
- Time taken for small pipe = x + 6
- Rate of work of both pipes = 1/6
- Rate of work of long pipe = 1/x
- Rate of work of small pipe = 1/x + 6
1/6 = 1/x + 1/(x+6)
1/6 = (x+6)+(x) / (x)(x+6)
1/6 = (x+6+x) / x²+6x
1/6 = (2x+6)(x² + 6x)
1(x² + 6x) = 6(2x+6)
x² + 6x = 12x + 36
x² + 6x - 12x - 36 = 0
x² - 6x - 36 = 0
x = 9.71 or -3.71
The value of x cannot be negative
Therefore, the
Time taken for long pipe = x
= 9.71 hours
Time taken for small pipe = x + 6
= 9.71 + 6
= 15.71 hours
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Answer:
Step-by-step explanation:
add 9 to both sides.
then divide by 1.5
so p > 8
number your number line: 2,4,6,8,10
draw a circle at 8 and the line to the right since p>8
Answer:
x = 225.16 feet
Step-by-step explanation:
Given that,
The angle between the piling and the pier is 60°.
A surveyor has set up his transit on one side of the lake 130 feet from a piling that is directly across from a pier on the other side of the lake.
We need to find the distance between the piling and the pier. Let the distance be d. Using the trigonometry to find it as follows :
So, the required distance is 225.16 feet.
Answer: 234!!!
Step-by-step explanation: Cube or box's volume = length x width x height
Answer:
The bracelet will cost 85$ and it'll have 2 charms.
Step-by-step explanation:
In order to find the total cost of the bracelet and how many charms it'd be we need to build an equation for each store. So we have:
Oak Grove:
total cost = 16*charm + 53
Sandoval:
total cost = 27*charm + 31
We then find the number of charm that'll make them equal, since the price has to be the same on both shops:
16*charm + 53 = 27*charm + 31
27*charm - 16*charm = 53 - 31
11*charm = 22
charm = 2
The cost of the bracellet is:
total cost = 27*2 + 31 = 85 $