Answer:
11
Step-by-step explanation:
The distance that a is to b is b-a=17-2=15.
The line segment from a=2 to b=17 has length 15.
We need to know what is 3/5 of 15.
3/5 of 15 means what is 3/5 times 15?
(3/5)(15)=3(3)=9
So this means we are looking to make a line segment that is 9 units from 2 which is 2 to 11.
So 11 is 3/5 the way from a=2 to b=17.
Let's check from 2 to 11 that is a length of 9 and from 2 to 17 that is a length of 15.
Is 9/15 equal to 3/5?
Yes, 9/15 can be reduced to 3/5.
if she buys 10 of the small juice box packages and six of the yogurt treat packages then she should have an even number of both. That would be 60 of each.
Answer:
About 36%.
Step-by-step explanation:
The formula for the rate of return on investment is the total value minus the initial cost divided by the initial cost.
The total value is $1,500. The initial cost is $1,100.
(1,500 - 1,100) / 1,100 = 400 / 1,100 = 4 / 11 = 0.363636363636
So, Dean's rate of return on investment is about 36%.
Hope this helps!
First of all, let's consider the line, since it's simpler to graph: we draw the endpoints and connect them:

So, you just need to draw the points

As for the trigonometric function, we have to start from the parent function
and derive the graph of its child function via transformations:
- When we multiply the whole function by 2, we stretch the graph vertically. So, the function has still period
, but now it ranges from -2 to 2 instead of from -1 to 1 (amplitude 2) - When we multiply the argument by 2, we compress the function horizontally. So, the new period becomes
, and the function makes two complete oscillations from 0 to 
You can see the two functions in the image below. You can also see that the two graphs cross 4 times, meaning that the equation
has four solutions.
-0.15 = -15/100 = -3/20
-7.75 = -7 3/4
-12.54 = -12 54/100 = -12 27/50