Answer:
<u>x = 58</u>
Step-by-step explanation:
180 - 148 = 32
32 + 90 + x = 180
122 + x = 180
180 - 122 = x
x = 58
Have a nice day!
Answer:
8ab(27a^3 + 64b^3)
The answer is zero
Hopes this helps :)
Answer:
x = -4
Step-by-step explanation:
2x² + 8x = x² - 16
x² + 8x + 16 = 0
x² + 4x + 4x + 16 = 0
x(x + 4) + 4(x + 4) = 0
(x + 4)² = 0
x = -4
<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.
