4. A plumber charges $65 per hour to fix a leak. What is an equation that relates the total cost of a leak repair c to the number of hours, h, it takes the plumber to fix the leak?
The equation that relates the total cost of a leak repair c to the number of hours h is:
c = 65h
Solve for x:
2x=-6
To solve for x in the equation 2x = -6, we can divide both sides of the equation by 2:
2x/2 = -6/2
x = -3
Therefore, the solution is x = -3.
Solve for x:
x+12=-15
To solve for x in the equation x + 12 = -15, we can isolate x by subtracting 12 from both sides of the equation:
x + 12 - 12 = -15 - 12
x = -27
Therefore, the solution is x = -27.
7. Solve for p:
8p – 3 = 13
To solve for p in the equation 8p - 3 = 13, we can isolate p by adding 3 to both sides of the equation:
8p - 3 + 3 = 13 + 3
8p = 16
Next, we divide both sides of the equation by 8:
8p/8 = 16/8
p = 2
Therefore, the solution is p = 2.
8. Solve for j:
8j – 5 + j = 67
To solve for j in the equation 8j - 5 + j = 67, we can combine like terms:
9j - 5 = 67
Next, we isolate j by adding 5 to both sides of the equation:
9j - 5 + 5 = 67 + 5
9j = 72
Finally, we divide both sides of the equation by 9:
9j/9 = 72/9
j = 8
Therefore, the solution is j = 8.
Solve for x:
3(2x-5)=4x+33
To solve for x in the equation 3(2x-5) = 4x+33, we can start by distributing the 3 into the parentheses:
6x - 15 = 4x + 33
Next, we want to isolate the x terms by moving the constant terms to the other side of the equation. We can do this by subtracting 4x from both sides:
6x - 4x - 15 = 4x - 4x + 33
2x - 15 = 33
Now, we can isolate x by adding 15 to both sides:
2x - 15 + 15 = 33 + 15
2x = 48
Finally, we divide both sides of the equation by 2:
2x/2 = 48/2
x = 24
Therefore, the solution is x = 24.
10. Solve for x (literal equations):
c = b – bx
To solve for x in the equation c = b - bx, we can start by isolating the term with x by subtracting b from both sides of the equation:
c - b = - bx
Next, we can divide both sides of the equation by -b to solve for x:
(c - b) / -b = (-bx) / -b
x = (b - c) / b
Therefore, the solution is x = (b - c) / b.