Answer: x = 3
Step-by-step explanation:Simplifying
12 + 5x = 18 + 3x
Solving
12 + 5x = 18 + 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
12 + 5x + -3x = 18 + 3x + -3x
Combine like terms: 5x + -3x = 2x
12 + 2x = 18 + 3x + -3x
Combine like terms: 3x + -3x = 0
12 + 2x = 18 + 0
12 + 2x = 18
Add '-12' to each side of the equation.
12 + -12 + 2x = 18 + -12
Combine like terms: 12 + -12 = 0
0 + 2x = 18 + -12
2x = 18 + -12
Combine like terms: 18 + -12 = 6
2x = 6
Divide each side by '2'.
x = 3
Simplifying
x = 3
Answer:
Her new position is 37 feet below the cave entrance
Step-by-step explanation:
Let us solve the question
∵ The cave entrance is the zero position
∵ Anna is in 42 feet below the cave entrance
→ Below zero means negative
∴ Anna is in -42 feet
∵ She descends 10 feet
→ Descend means negative
∴ She is in -42 + -10 = -52 feet
∵ She ascends 15 feet
→ Ascend means positive
∴ She is in -52 + 15 = -37 feet
→ -37 means she is in below the cave entrance by 37 feet
∴ Her new position is 37 feet below the cave entrance
Your final answer for this question is -3(y-2)/2. Hope this helps.
increase = 25* .24 = 6 dollars
new price = old price + increase
new price = 25+6
new price = $31