Answer:
2
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
Let the two perfect cubes be x and y where x > y.
According to the given conditions:
![{x}^{3} - {y}^{3} = 386...(1) \\ y = 7...(2) \\ plug \: y = 7 \: in \: equation \: (1) \\ {x}^{3} - {7}^{3} = 386 \\ {x}^{3} - 343 = 386 \\ {x}^{3} = 343 + 386 \\ {x}^{3} = 343 + 386 \\ {x}^{3} = 729 \\ x = \sqrt[3]{729} \\ x = 9](https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B3%7D%20%20-%20%20%7By%7D%5E%7B3%7D%20%20%3D%20386...%281%29%20%5C%5C%20y%20%3D%207...%282%29%20%5C%5C%20plug%20%5C%3A%20y%20%3D%207%20%5C%3A%20in%20%5C%3A%20equation%20%5C%3A%20%281%29%20%5C%5C%20%20%7Bx%7D%5E%7B3%7D%20%20-%20%20%7B7%7D%5E%7B3%7D%20%20%3D%20386%20%5C%5C%20%7Bx%7D%5E%7B3%7D%20%20-%20%20343%20%3D%20386%20%5C%5C%20%7Bx%7D%5E%7B3%7D%20%20%20%20%20%3D%20343%20%20%2B%20%20386%20%5C%5C%20%7Bx%7D%5E%7B3%7D%20%20%20%20%20%3D%20343%20%20%2B%20%20386%20%5C%5C%20%7Bx%7D%5E%7B3%7D%20%20%20%3D%20729%20%5C%5C%20x%20%3D%20%20%5Csqrt%5B3%5D%7B729%7D%20%20%5C%5C%20x%20%3D%209)
Thus the cube root of the larger number is 9.
Answer:
The number of children's tickets sold was 31 and the number of adult tickets sold was 2
Step-by-step explanation:
Let
x ---> the number of children's tickets sold
y ---> the number of adult tickets sold
we know that
the theater sold 33 tickets
so
-----> equation A
the theater made a total of $158.50
so
----> equation B
Solve the system by graphing
Remember that the solution of the system is the intersection point both graphs
using a graphing tool
The solution is the point (31,2)
see the attached figure
therefore
The number of children's tickets sold was 31 and the number of adult tickets sold was 2
Answer:
It would be B (15x + 20x)
Answer: Amount = $143776
Step-by-step explanation:
Given that London was offered a job that paid a salary of $93,000 in its first year. The salary was set to increase by 2% per year every year.
Let P = 93000
Rate R = 2%
The amount of salary he will receive after 22 years can be calculated by using exponential equation
A = P(1 + 2%)^t
Where t = 22 years
A = 93000(1.02)^22
A = 93000 × 1.545979
A = 143776.11 dollars