Samantha wanted to fill her new fish tank with goldfish and guppies. She bought 26 total fish. Each goldfish cost $3, and each g
1 answer:
Answer:
8 guppies
Step-by-step explanation:
Let:
x = number of goldfishes
y = number of guppies
We can come up with two equations:
x + y = 26
3x +4y = 86
We use the first equation to come up with a solution for one of the unknowns:
x = 26 - y
We can use this to substitute the x on the second equation:
So she bought 8 guppies.
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The answer is 1.) 6^1/6
The third root of something is the same as an exponent to the 1/3 power.
(When an exponent is a fraction, the numerator is powers and the denominator finds the root. For example: 3 to the power of 4/2 is multiplied by itself 4 times (81) then the denominator, 2, means we find the square root of it (9). 4/2=2, and 3 to the 2nd power is also 9.)
So that would be 6 to the 1/3 power, then you find the square root of that, so it's (6 to the 1/3 power) to the 1/2 power, and according to the Power Rule (a power on top of a power means you multiply the two powers), that would end up being 1/6.
![\sqrt{ \sqrt[3]{6} } = \sqrt{ {6}^{ \frac{1}{3} } } = (6 { \frac{1}{3} })^{ \frac{1}{2} } = {6}^{ \frac{1}{3} \times \frac{1}{2} } = {6}^{ \frac{1}{6} }](https://tex.z-dn.net/?f=%5Csqrt%7B%20%20%5Csqrt%5B3%5D%7B6%7D%20%20%7D%20%20%3D%20%20%5Csqrt%7B%20%7B6%7D%5E%7B%20%5Cfrac%7B1%7D%7B3%7D%20%7D%20%7D%20%20%3D%20%286%20%7B%20%5Cfrac%7B1%7D%7B3%7D%20%7D%29%5E%7B%20%5Cfrac%7B1%7D%7B2%7D%20%7D%20%20%3D%20%20%7B6%7D%5E%7B%20%5Cfrac%7B1%7D%7B3%7D%20%20%5Ctimes%20%20%5Cfrac%7B1%7D%7B2%7D%20%7D%20%20%3D%20%20%7B6%7D%5E%7B%20%5Cfrac%7B1%7D%7B6%7D%20%7D%20)
The third root of something is the same as an exponent to the 1/3 power.
(When an exponent is a fraction, the numerator is powers and the denominator finds the root. For example: 3 to the power of 4/2 is multiplied by itself 4 times (81) then the denominator, 2, means we find the square root of it (9). 4/2=2, and 3 to the 2nd power is also 9.)
So that would be 6 to the 1/3 power, then you find the square root of that, so it's (6 to the 1/3 power) to the 1/2 power, and according to the Power Rule (a power on top of a power means you multiply the two powers), that would end up being 1/6.