Answer: she played 5 games and went on 8 rides
Step-by-step explanation:
Let x represent the number of games that Sydney played.
Let y represent the number of rides that Sydney went on.
Each game cost $1.25 and each ride cost $2.25. If Sydney spent $24.25 altogether at the carnival, then the expression is
1.25x + 2.25y = 24.25- - - - - - - - - - -1
If the number of rides that she went on is 3 more than the number of games that she played, the expression would be
y = x + 3
Substituting y = x + 3 into equation 1, it becomes
1.25x + 2.25(x + 3) = 24.25
1.25x + 2.25x + 6.75 = 24.25
3.5x = 24.25 - 6.75
3.5x = 17.5
x = 17.5/3.5
x = 5
y = x + 3 = 5 + 3
y = 8
Answer:
84.85cm
Step-by-step explanation:
Let the sides of the square be x
The perimeter of the square = 4x
Get x using the pythagoras theorem
x^2 + x^2 = 30^2
2x^2 = 900
x^2 = 450
x = 21.21cm
Perimeter of the plate = 4(21.21)
Perimeter of the plate = 84.85cm
Answer:
1/5, 1/6 and 1/15
Step-by-step explanation:
Multiples of 15 are 30, 45, 60, 75, 90. Now, when you look at the list of multiples, you can see that 30 is the smallest number that appears in each list. Therefore, the least common denominator of 1/5, 1/6, and 1/15 is 30.
