Answer:
X = 4
Step-by-step explanation:
5x + 3 = 23
Subtract 3 from both sides: 5x = 20
Divide both sides by 5: x = 4
Answer:
-11
Step-by-step explanation:
Our function is 2x-13x+5
- 2x-13x+5= -11x+5
- F(0)= 5 and F(6)= -11*6+5 = -61
- let m be the average change : m= (-61-5)/6= -11
Answer:
The number of liters of 25% acid solution = x = 160 liters
The number of liters of 40% acid solution = y = 80 liters
Step-by-step explanation:
Let us represent:
The number of liters of 25% acid solution = x
The number of liters of 40% acid solution = y
Our system of Equations =
x + y = 240 liters....... Equation 1
x = 240 - y
A 25% acid solution must be added to a 40% solution to get 240 liters of 30% acid solution.
25% × x + 40% × y = 240 liters × 30%
0.25x+ 0.4y = 72...... Equation 2
We substitute 240 - y for x in Equation 2
0.25(240 - y)+ 0.4y = 72
60 - 0.25y + 0.4y = 72
Collect like terms
- 0.25y + 0.4y = 72 - 60
0.15y = 12
y = 12/0.15
y = 80 Liters
Solving for x
x = 240 - y
x = 240 liters - 80 Liters
x = 160 liters
Therefore,
The number of liters of 25% acid solution = x = 160 liters
The number of liters of 40% acid solution = y = 80 liters
Answer:
x=1
Step-by-step explanation:
multiply both sides by 28 (it is the Least Common Multiple) which would bring your equation to be
7x-2= 4x+1
3x=3
x=1
You need to find two factors of 20 that are consecutive: 4,5.
Answer: 5inx4in
