<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.
Answer:
y-intercept = 7
Step-by-step explanation:
The y-intercept is also the starting point
Using the formula (AB +BC) *BC = (DE +CD) *CD
fill i n what is known:
(17 + 4) *4 = (DE +6) *6
21*4 = (DE +6)*6
84 = (DE+6)*6
84/6 = DE+6
14 = DE +6
DE = 14-6
DE = 8
Answer:
50 seconds
Step-by-step explanation:
divided 150 by 3
Answer:
x = 2
Step-by-step explanation:
Step 1: Write out equation
2 - 4x = 3x - 12
Step 2: Add 4x on both sides
2 - 4x + 4x = 3x + 4x - 12
2 = 7x - 12
Step 3: Add 12 on both sides
2 + 12 = 7x - 12 + 12
14 = 7x
Step 4: Divide both sides by 7
14/7 = 7x/7
2 = x
Step 5: Rewrite
x = 2
