Answer:
Scale Factor is 2.5
Step-by-step explanation:
Using a system of equations, it is found that there were 4,000 children tickets sold.
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
For this problem, the variables are given by:
- Variable x: Number of children tickets sold.
- Variable y: Number of adult tickets sold.
The attendance at the amusement park is 5,000 attendees, hence:
x + y = 5000 -> y = 5000 - x.
Considering the cost of parking and that the total money earned by the park is $100,000, we have that:
15x + 40y = 100000
Applying the multiplication of the matrices, these equations are the same that the system gives. Replacing the second equation into the first:
15x + 40(5000 - x) = 100000
25x = 100000
x = 100000/25
x = 4000.
More can be learned about a system of equations at brainly.com/question/24342899
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Answer:
72 (d)
Step-by-step explanation:
I did the math
Assume that the dimensions of the room in the plan are a (width ) by b (length),
such that a*b=30.
Since the scale is 1:100, a represents 100a, and b represents 100b.
So the actual dimensions are 100a by 100b.
The area is 100a*100b=a*b*10,000=30*10,000=300,000 (square units)
Answer: 300,000 (square units)
To work this out, we can turn 6 into a fraction
6 = 6/1
6/1 ÷ 5/9
When we divide decimals, we do SCF
Stick it, Change it, Flip it
This means:
We keep the first fraction the same
We change the divide sign to a multiply
We turn the last fraction upside down
6/1 x 9/5
We know to multiply the numerator by the numerator and the denominator by the denominator
6 x 9 = 54
1 x 5 = 5
54/5 → 10 4/5