Answer: N=15
Step-by-step explanation:
3n+32=77
subtract 32 from 77 which you give you 45
3n=45 then divide it by three
so 45/3=15 so N=15
Answer:
x = 7/12
Step-by-step explanation:
Solve the exponential problem :
1/16=64^4x-3
1 / 4^2 = 4^3(4x - 3)
4^-2 = 4^3(4x - 3)
-2 = 3(4x - 3)
-2 = 12x - 9
-2 + 9 = 12x
7 = 12x
7/12 = 12x/12
7/12 = x
Hence, x = 7/12
Answer:the third option is correct
Step-by-step explanation:
The system of equations are
y = 2x^2 - 5x - 7 - - - - - - - - - - -1
y = 2x + 2 - - - - - - - - - - - - - 2
We would equate equation 1 and equation 2. It becomes
2x^2 - 5x - 7 = 2x + 2
2x^2 - 5x - 2x - 7 - 2 = 0
2x^2 - 7x - 9 = 0
We would find two numbers such that their sum or difference is -7x and their product is - 18x^2. The two numbers are 2x and - 9x. Therefore
2x^2 + 2x - 9x - 9 = 0
2x(x + 1) - 9(x + 1) = 0
2x - 9 = 0 or x + 1 = 0
2x = 9 or x = - 1
x = 9/2 = 4.5
Substituting x = 4.5 or x = -1 into equation 2, it becomes
y = 2 × 4.5 + 2 or y = 2 × - 1 + 2
y = 11 or y = 0
Therefore, the solutions are
(4.5, 11) (- 1, 0)
Answer:
160
Step-by-step explanation:
Is means equals and of means multiply
24 = 15% * N where N is the unknown number
Change to decimal form
24 = .15 N
Divide each side by .15
24/.15 = .15N/.15
160 = N
Answer:
You have a total of $11.50
Step-by-step explanation:
We first subtract $19.75 by $8.25 and the result will be $11.50