For this case, the first thing we must do is define variables.
We have then:
x: number of pens
y: number of pencils
We now write the system of inequations:
The solution to the system of inequations is given by the shaded region.
Note: see attached image.
1. 6
2. 6/60=1/10
3. 12
4. 24/2=12
5. 6/4=3/2= 1 1/2
6. 1
7. 7.5= 7 whole servings
Rotation and translation are rigid transformations, they don't change figure sizes. Dilation change figure sizes increasing or decreasing them by scale factor.
First, find AB and A'B' by the formula:
As you can see AB=2A'B'. This means that the segment AB was decreased twice to form segment A'B'. Then the scale factor is 1/2.
12 egg=2.09
then your adding 6 more eggs to get 18 eggs and 6 is half of 12
so you would be adding half the price
2.09/2=1.05
so then add 2.09+1.05=3.14
So 18 eggs would be $3.14
Hope this helps!! :D
Answer:
(2)
Step-by-step explanation:
Our logarithmic expression is: 
.
Remember the logarithmic property that ln(a/b) = lna - lnb. So, we can write this as:
Also, we can write square roots as powers of one-half, so √e = 
. There's another log property that: 
. We can apply that here for both the √e and the y³:
Finally, note that ln(e) is just 1, so we have:
The answer is thus (2).
<em>~ an aesthetics lover</em>
