The answer would be 413,000,000 and 4,000
Answer: (7, 0)
Step-by-step explanation:
We have the system of equations:
9*x - y = 63
x = y + 7
We can see that the "x" is isolated in the second equation, then we can replace it in the first equation to get:
9*x - y = 63
9*(y + 7) - y = 63
Now we have an equation that only depends on one variable, so we can solve it:
9*y + 63 - y = 63
8*y + 63 = 63
8*y = 63 - 63 = 0
y = 0/8 = 0.
Now we know the value of y, we can replace this in one of the initial equations to find the value of x, i will replace this in the second equation:
x = y + 7 = 0 + 7 = 7
Then the point that is a solution for the system of equations is (7, 0)
Answer:
Step-by-step explanation:
The volume of a cube is 200 cm².
We need to find the edge length of the cube.
The formula for the volume of a cube is given by :
a is the side of the cube
![a=\sqrt[3]{200} \\\\=(200)^{\dfrac{1}{3}}\\\\=(25\times 8)^{\dfrac{1}{3}}\\\\=(25)^{\dfrac{1}{3}}\times (8)^{\dfrac{1}{3}}\\\\=2(25)^{\dfrac{1}{3}}](https://tex.z-dn.net/?f=a%3D%5Csqrt%5B3%5D%7B200%7D%20%5C%5C%5C%5C%3D%28200%29%5E%7B%5Cdfrac%7B1%7D%7B3%7D%7D%5C%5C%5C%5C%3D%2825%5Ctimes%208%29%5E%7B%5Cdfrac%7B1%7D%7B3%7D%7D%5C%5C%5C%5C%3D%2825%29%5E%7B%5Cdfrac%7B1%7D%7B3%7D%7D%5Ctimes%20%288%29%5E%7B%5Cdfrac%7B1%7D%7B3%7D%7D%5C%5C%5C%5C%3D2%2825%29%5E%7B%5Cdfrac%7B1%7D%7B3%7D%7D)
So, the edge length of the cube is .
Answer:
1:2
Step-by-step explanation:
since cats is 3 you put 3 and fish is 6 you put 6
it will equal to 3:6 but in the simplest form, its 1:2
law's of exponents
e^(x-5)*e^(3x+8) = 19
e^(x-5+3x+8) = 19
e^(4x+3) = 19
take the natural log, which is base "e" of both sides.
ln[e^(4x+3)] = ln[19]
4x +3 = ln[19]
4x = ln[19] - 3
x = (ln[19] - 3) / 4
x = -0.0139
