dilation is when a shape changes size, from small to big or big to small.
Answer:
She went on the slide 8 times and on the roller coaster 4 times
Step-by-step explanation:
We convert each statements to a mathematical equation.
Firstly, let's represent the number of times she went on the coaster with R and the number of times on the slide with S. We know quite well she went on 12 rides. Hence the summation of both number of times yield 12.
Mathematically, R + S = 12. ........(i)
Now we also know her total wait time was 3hours. Since an hour equals 60 minutes, her total wait time would equal 180 minutes.
To get a mathematical representation for the wait time, we multiply the number of roller coaster rides by 25 and that of the slides by 10.
Mathematically, 25R + 10S = 180 .......(ii)
Here we now have two equations that we can solve simultaneously.
From equation 1 we can say R = 12 - S. We can then substitute this into equation 2 to yield the following:
25(12 - s) + 10s = 180
300 - 25s + 10s = 180
300 - 25s + 10s = 180
300 - 15s = 180
15s = 300 - 180
15s = 120
S = 120/15
S = 8
S = 8 , and R = 12 - S = 12 - 8 = 4
Since it's a one-variable equation, it has only one solution:
25 - 4x = 15 - 3x + 10 - x
25 - 4x + x = 15 - 3x + 10
25 - 3x = 15 - 3x + 10
- 3x = 15 - 3x + 10 - 25
- 3x = 15 - 3x - 15
- 3x + 3x = 15 - 15
0 = 15 - 15
0 = 0
Hope it helped,
BioTeacher101
Step-by-step explanation:
G(x) = 2/3 x - 6 switch x and y around and solve for y.
y = 2/3 x - 6
x = 2/3 y - 6
x + 6 = 2/3 y
3/2 x + 9 = y
The answer is 73.5
To make it a lot easier split the shapes into a rectangle and triangle.
The rectangle is a tad easier because the measurements are given here.
5 x 12 = 60 (rectangle area)
To find the triangle find the base then height. The base is 3cm and the height is 9cm (shown above)
9 x 3 = 27
Divide that by 2 because it's a triangle and you get 13.5.
Add those two numbers and voila you have your answer of 73.5.
