Answer: 12 hours
Step-by-step explanation:
Let x = time it takes to fill the pool if the inlet pipe and drain pipe are both open
1/6 = portion of pool filled per hour by the inlet pipe
1/12 = portion of pool emptied per hour by the drain
1/x = portion of pool filled per hour if the inlet pipe and drain are both open
Then, 1/6 - 1/12 = 1/x
Multiply by the LCD, 12x, to obtain
2x - x = 12
x = 12 hours
The elephant lost 4 pounds each month. Because he is losing weight, and not gaining weight, you have to make the answer negative
Answer:
D
Step-by-step explanation:
The sum of two remote interior angles (a remote interior angle is the interior angle that is not supplementary to the exterior angle given -- in this case A and B are remote angles) equals the exterior angle.
In This case A + B = 140
A = x + 2
B = 2x
x +2 + 2x = 140
3x + 2 = 140 Subtract 2 from both sides
3x = 138 Divide by 3
x = 138/3
x = 46
<B = 2x
<B = 2*46
<B = 92
Answer: The first situation fit the equation and it will take Mitch 4.5 weeks to pay back
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
The expression ![\sqrt[5]{x} *\sqrt[5]{x}* \sqrt[5]{x} *\sqrt[5]{x}](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7Bx%7D%20%2A%5Csqrt%5B5%5D%7Bx%7D%2A%20%5Csqrt%5B5%5D%7Bx%7D%20%2A%5Csqrt%5B5%5D%7Bx%7D)
simplifies to ![\sqrt[5]{x*x*x*x} = \sqrt[5]{x^4}](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7Bx%2Ax%2Ax%2Ax%7D%20%3D%20%5Csqrt%5B5%5D%7Bx%5E4%7D)
A radical can be written as a fractional exponent. The index of a radical is the denominator of its fractional exponent.
