Answer:
x = 4
Step-by-step explanation:
5[3(x + 4) - 2(1 - x)] - x - 25 = 14x + 65
Distribute by 3 and 2 inside the square bracket
5 [ 3x + 12 - 2 + 2x ] - x - 25 = 14x + 65
collect like terms inside the square bracket
5 (5x + 10) - x - 25 = 14x + 65 ← distribute the parenthesis by 5
25x + 50 - x - 25 = 14x + 65 ← collect like terms on left side
24x + 25 = 14x + 65 ( subtract 14x from both sides )
10x + 25 = 65 ( subtract 25 from both sides )
10x = 40 ( divide both sides by 10 )
x = 4
The answer should be 1 1/4
They are. There are 12 inches in a foot. 5x12 does equal 60 so they are equal.
To solve this problem you must apply the proccedure below:
1. You have that one canned juice drink is 20% orange juice and another is 5% orange juice.
2. You must make a system of equation, as below:
x+y=15 (i)
0.20x+0.05y=0.15x15 (ii)
3. Now, you must find the value of x (the liters of the first canned needed) and y (the liters of the other canned needed):
x+y=15 (i)
x=15-y
0.20x+0.05y=0.15x15 (ii)
0.20(15-y)+0.05y=2.25
y=5 liters
x+y=15 (i)
x=15-5
x=10 liters
4. Therefore, the asnwer is:
10 liters of the canned juice drink that is 20% orange juice and 5 liters of the other canned juice drink that is 5% orange juice.
The original price is 30$ because we know that the new price is worth 60% of the old price. We can set up an equation to model this: 0.60x = 18. Dividing both side by 0.60 gives us an original value of 30. If you take 40% off of 30 you get 18 — allowing us to check our work.
