Answer:x=9
Step-by-step explanation:
X=9-8=37
(5x9)-8=37
45-8=37
Answer:
10 and 15
Step-by-step explanation:
Let 'x' and 'y' are the numbers we need to find.
x + y = 25 (two numbers whose sum is 25)
(1/x) + (1/y) = 1/6 (the sum of whose reciprocals is 1/6)
The solutions of the this system of equations are the numbers we need to find.
x = 25 - y
1/(25 - y) + 1/y = 1/6 multiply both sides by 6(25-y)y
6y + 6(25-y) = (25-y)y
6y + 150 - 6y = 25y - (y^2)
y^2 - 25y + 150 = 0 quadratic equation has 2 solutions
y1 = 15
y2 = 10
Thus we have
:
First solution: for y = 15, x = 25 - 15 = 10
Second solution: for y = 10, x = 25 - 10 = 15
The first and the second solution are in fact the same one solution we are looking for: the two numbers are 10 and 15 (since the combination 10 and 15 is the same as 15 and 10).
Answer: n = -2
Step-by-step explanation:
To solve this you need to take the answer from the previous iteration.
Iteration 1: The answer is given
a1 = 300
Iteration 2: Solve using the equation. a(n-1) is the answer from the previous iteration. n = the number of the current iteration. So, a(n-1) = 300 and n = 2
a2 = 300/2 = 150
Iteration 3: a(n-1) = 150 and n = 3
a3 = 150/3 = 50
Iteration 4: a(n-1) = 50 and n = 4
a4 = 50/4 = 12.5
Answer: 12.5
