<h3>
Answer:</h3>
6 hours
<h3>
Step-by-step explanation:</h3>
The two hoses together take 1/3 the time (4/12 = 1/3), so the two hoses together are equivalent to 3 of the first hose.
That is, the second hose is equivalent to 2 of the first hose. Two of the first hose could fill the vat in half the time one of them can, so 6 hours.
The second hose alone can fill the vat in 6 hours.
_____
The first hose's rate of doing work is ...
... (1 vat)/(12 hours) = (1/12) vat/hour
If h is the second hose's rate of doing work, then working together their rate is ...
... (1/12 vat/hour) + h = (1/4 vat/hour)
... h = (1/4 - 1/12) vat/hour = (3/12 -1/12) vat/hour = 2/12 vat/hour
... h = 1/6 vat/hour
so will take 6 hours to fill 1 vat.
If the probability of even is 1/4 that is a quarter. A quarter of 120 is 120/4= 30 times
Answer:
d, 125
Step-by-step explanation:
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Answer:
x = 6
Step-by-step explanation:
Based on the two secants intersecting theorem, thus:
(x + 4)*4 = (3 + 5)*5
x*4 + 4*4 = (8)*5
4x + 16 = 40
4x + 16 - 16 = 40 - 16 (subtraction property of equality)
4x = 24
4x/4 = 24/4 (Division property of equality)
x = 6
