Answer:
6 times
Step-by-step explanation:
The chance of spinning it once is 1/5 because 2/10 of the spaces are red and simplify it to 1/5. So it is simple from here, you just multiply how many times your are spinning it (which is 30) by 1/5 cause that's the chance of it landing on red.
Answer:
29 ft x 58 ft
Step-by-step explanation:
Let x be the length of each side perpendicular to the wall, and y be the length of the side parallel to the wall.
The amount of wire available is:
The area of the region is:
The value of 'x' for which the derivate of the area function is zero will yield the maximum area:
The value of y is:
The dimensions of the region with the largest area are 29 ft x 58 ft.
Answer:
Step-by-step explanation:
Given
Required
Determine the invested amount
First, we need to determine the Principal
This is calculated as:
Solve for Principal
Add the principal to the interest
Answer:it has one and only one solution.
Step-by-step explanation:
The given system of equations is expressed as
4x - 5y = 24 - - - - - - - - - - - - -1
2x + 3y = -10 - - - - - - - - - - - - - 2
We would eliminate x by multiplying equation 1 by 1 and equation 2 by 2. It becomes
4x - 5y = 24
4x + 6y = - 20
Subtracting, it becomes
- 11y = 44
Dividing the left hand side and the right hand side of the equation by
- 11, it becomes
- 11y/- 11 = 44/- 11
y = - 4
Substituting y = - 4 into equation 2, it becomes
2x + 3 × - 4 = -10
2x - 12 = - 10
2x = - 10 + 12
2x = 2
Dividing the left hand side and the right hand side of the equation by
2, it becomes
2x/2 = 2/2
x = 1
