Three friends went to the fair. Each paid $5.00 to enter and went on r rides, paying $0.90 per person for each ride. Which expression shows how many dollars they paid in all? A. 3(0.9) +5r
B. 3(5 + 0.9r)
C. (5) + 0.9r
D.3(5) + 3(0.9)

2.Susan and Tom want to know the combined amount of money they earned last week. They both earned $9 per hour, but Susan also earned a $45 bonus. Susan added her earnings to Tom's earnings to write the expression (9S + 45) + 9T, where S is the number of hours she worked, and Tis the number of hours Tom worked. Tom added their combined hourly wages to Susan's bonus to write the expression 9(S + T) + 45. Which of the following statements is true?
A.They are both correct, and their expressions are equivalent.
B.They are both correct, and their expressions are not equivalent.
C.Only one of them is correct, and their expressions are equivalent.
D Only one of them is correct, and their expressions are not equivalent.

3. Amanda and Trinity each wrote an expression, but only Amanda's expression is equivalent to 2x + 5. What could be Trinity's expression?
A.2(x+3)-1
B.3x-(x-5)
C.5(x+1)-3x
D.5x-3(x-1)

Respuesta :

Answer:

  • 1. B, 2. A, 3. D

Step-by-step explanation:

Question 1

  • One off fee: $5
  • Each ride: $0.90
  • Number of rides: r

Total payment:

  • 3(5 + 0.9r)

Correct choice is B

Question 2

Since

  • 9S + 45 + 9T = 9S + 9T + 45 = 9(S + T) + 45, the expressions are equivalent and therefore both Susan and Tom are correct

The true statement is A

Question 3

Let's compare the expressions with Amanda's expression

  • A. 2(x + 3) - 1 = 2x + 6 - 1 = 2x + 5, equivalent
  • B. 3x - (x - 5) = 3x - x + 5 = 2x + 5, equivalent
  • C. 5(x + 1) - 3x = 5x + 5 - 3x = 2x + 5, equivalent
  • D. 5x - 3(x - 1) = 5x - 3x + 3 = 2x + 3, not equivalent so this is Trinity's expression