Answer:
x<168
Step-by-step explanation:
Answer:
The answer to your question is below
Step-by-step explanation:
Data
4 red marbles
3 blue marbles
3 yellow marbles
a) Total number of marbles = 4 + 3 + 3 = 10 marbles
b) Number of red marbles = 4 marbles
c) Number of blue marbles = 3 marbles
d) P(blue) = number of blue marbles/ total number = 3/10
e) P(red) = number of red marbles/total number = 4/10 = 2/5
Answer:
An actual distance of 360 miles correspond to 9 inches on the map
Step-by-step explanation:
From the question, we have a scale of 0.5 inches representing 20 miles
Now, we want to relate an actual distance of 360 miles to a measurement on the map using the scale
From here, we have that;
0.5 inches = 20 miles
x inches = 360 miles
x * 20 = 0.5 * 360
20x = 180
x = 180/20
x = 9 inches
30:18,
31:23
32:28
33:33
It will be three months before they have the same amount of CDs
Basically, you have two circles. You are asked to take circle 1 and "move it" so that it is on top of circle 2. This process of moving is called a translation and can be thought of as sliding. You do this by ensuring that the two have the same center. So, starting at (-4,5) how do you have to move to end up at (2,1)?
To do this we need to move right 6 as the x-coordinate goes from -4 to 2. We also need to move down 4 as the y-coordinate goes from 5 to 1. So we add 6 to the x-coordinate and subtract 4 from the y-coordinate. The transformation rule is (x+6, y-4).
Once you do this the circles have the same center. Next you wish to dilate circle 1 so it ends up being the same size at circle 2. That means you stretch it out in such a way that it keeps its shape. Circle 1 has a radius of 2 centimeters and circle 2 has a radius of 6 centimeters. That is 3x bigger. So we dilate by a factor of 3.
Translations and dilations (along with reflections and rotations) belong to a group known as transformations.
