Answer: x = 7
Step-by-step explanation:
To solve the equation,
First step, open the bracket
3(x-5)-14=2(x-7)+2
3x -15 -14 = 2x -14 +2
Then, add the like terms
3x - 29 = 2x -16
Transpose the values at the right hand side to the left hand side
3x - 2x = -16 + 29
x = 7
Let x represent the shorter leg. Then the Pythagorean theorem tells us
x^2 +(x +17)^2 = 25^2
2x^2 +34x +289 = 625
x^2 +17x -168 = 0
(x -7)(x +24) = 0 . . . . . the zero product rule tells you x=7 is the solution
The shorter leg is 7 cm; the longer one is 24 cm.
Answer:
Well do you know the butterfly method
you multiply 2 by x+1 and 4 by x + 2
Step-by-step explanation:
2(x+1) + 4(x+2) = 3(x-3) -2(x - 1)
2x + 2 + 4x + 8 = 3x - 9 - 2x + 2
2x + 4x +8 = 3x - 2x -9 +2
6x + 8 = x -7
6x - x = -7 -8
5x = -15
x = -15/5
x = -3
You would first have to convert 5 gallons into ounces. There are 128 ounces in 1 gallon. So 128×5= 640. Now you have 640 ounces. Since Rick is trying to see how many hours it will take to be half full, you divide. So 640÷2=320. Now you have 320 ounces. Now we can find out how many hours it will take by dividing by 5. So 320÷5=64. It will take 64 hours to get Rick's bucket to be half full.
