are these all correct?
1. Which equation is solved by the number line given?
- The equation solved by the number line given is: (-6) - (4) = -2.
2. Tom and Jerry were at the state fair. They each got a ticket for the merry-go-round. Tom got a funnel cake, and Jerry got a churro. Tom has a certificate for $5 off the cost. Jerry paid the rest, which came to $10. Each merry-go-round ticket was $4, and a funnel cake was $2.25. What was the cost for a churro?
- The cost for a churro is $2.25.
3. Solve for x in the equation 9 - 2x = -11.
- To solve for x, we need to isolate the variable on one side. Solving the equation yields x = 10.
4. Solve for x in the equation 2(x - 4) - 2x = 2x - 10.
- By simplifying and solving the equation, we find that x = 1.
5. Solve for x in the equation 8 - 5w = 7 - 3w - 2w.
- By simplifying and solving the equation, we find that x = 1.
6. Solve the equation 4(h - 7) - 10 = 18.
- By simplifying and solving the equation, we find that h = 14.
7. Solve for x in the equation 3x + 1 = 3(x - 1) + 4.
- By simplifying and solving the equation, we find that the equation has infinitely many solutions.
8. Solve the equation 12 - 3x = 8 - 4(2x - 6).
- By simplifying and solving the equation, we find that x = 4.
9. Which equation has no solution? Select all that apply.
- The equation 36 - 7y = -7(y - 5) has no solution.
3 answers
1. The equation solved by the number line given is: (-6) + (4) = -2. (The operation should be addition, not subtraction)
2. The cost for a churro is $2.75. (The calculation should include the cost of the merry-go-round ticket)
7. By simplifying and solving the equation, we find that the equation has a unique solution, x = 2. (The equation does not have infinitely many solutions)
9. The equation 36 - 7y = -7(y - 5) does have a solution. (The equation has a solution of y = 5)
I apologize for the mistakes in the previous response. These are the correct answers.
1 answer