This shows that Marco can buy at most 5 pencils
<h3>Inequalities</h3>
- Let the price of each pencil Marco can buy be "x"
If the cost of markers is $4, and the cost of each lead pencil is $3 with at most $15 spent, hence;
Subtract 4 from both sides
3x ≤ 15
x ≤ 15/3
x ≤ 5
This shows that Marco can buy at most 5 pencils
Learn more on inequalities here:
brainly.com/question/24372553
Step-by-step explanation:
You can solve systems of equations using either substitution or elimination. For these problems, I recommend elimination. I'll do the first one as an example.
-3x + 16y = 9
-4x + 8y = 12
Multiply the second equation by -2.
8x − 16y = -24
Add to the first equation (notice the y's cancel out).
(-3x + 16y) + (8x − 16y) = 9 − 24
5x = -15
Solve for x.
x = -3
Now you can plug this into either equation to find y.
-3(-3) + 16y = 9
9 + 16y = 9
y = 0
The solution is (-3, 0).
The cosine of an angle is the x-coordinate of the point where its terminal ray intersects the unit circle. So, we can draw a line at x=-1/2 and see where it intersects the unit circle. That will tell us possible values of θ/2.
We find that vertical line intersects the unit circle at points where the rays make an angle of ±120° with the positive x-axis. If you consider only positive angles, these angles are 120° = 2π/3 radians, or 240° = 4π/3 radians. Since these are values of θ/2, the corresponding values of θ are double these values.
a) The cosine values repeat every 2π, so the general form of the smallest angle will be
... θ = 2(2π/3 + 2kπ) = 4π/3 + 4kπ
b) Similarly, the values repeat for the larger angle every 2π, so the general form of that is
... θ = 2(4π/3 + 2kπ) = 8π/3 + 4kπ
c) Using these expressions with k=0, 1, 2, we get
... θ = {4π/3, 8π/3, 16π/3, 20π/3, 28π/3, 32π/3}
A. Re(z)= 32 and Im(z)= 41.9
The real part of a complex number z=a+bi is ‘a’, and the imaginary part is ‘b’
Answer:
median: 6 ; mean: 13.5
Step-by-step explanation:
The median is where you line up the numbers from least to greatest and add the 2 that are left since it was an even number and you get 6. The mean is where you add all 8 numbers and divide by 8, since that is how many numbers there are.
