Answer:
The correct answer is 5, $10 pens; 1, $3 pen; 94, 50 cents pens.
Step-by-step explanation:
A student has to buy 100 ball point pens and she has $100 to get the job done.
Price of three different pens are $10, $3 and 50 cents or $0.5.
Let the student buy x number of $10 pens and y number of $3 pens. Number of 50 cents pens bought by the student is 100 - x - y. ( x,y
1)
Total amount spent is 10x + 3y + 0.5(100 - x - y) = 100
⇒ 9.5x + 2.5y + 50 = 100
⇒ 1.9x + 0.5y = 10
⇒ 19x + 5y =100
Value of x (in order to hold the equality where both x and y are positive and greater than 1) is 5 and y is 1.
Total number of 50 cents pen bought is 94.
Thus the student buys 5, $10 pens; 1, $3 pen and 94, 50 cents pens.
Answer: 
Step-by-step explanation:
<h3>
Since the figure is not attached, below you can see a general explanation of the procedure to solve the exercise: </h3>
For this exercise you can apply the following formula, which is used to calculate the area of a trapezoid:

Where "B" and "b" are the bases of the trapezoid and "h" is the height.
So, substituting values into the formula and evaluating, you can find the area of trapezoid-shaped region.
Since the population in the trapezoid-shaped region is about 3,000 people, you can find the number of people per square mile dividing the population by the area of the region.
Then, the following expression represents the number of people per square mile in that region:

Answer:
B = (6, 4)
Step-by-step explanation:
You know that the midpoint is calculated as ...
M = (A +B)/2
Solving this for B, we find ...
2M = A + B
B = 2M - A
Filling in the coordinate values, we get ...
B = 2(5, -2) -(4, -8) = (2·5-4, 2(-2)+8)
B = (6, 4)
The solution to the problem is as follows:
sin(10 deg) = 300/DF
<span>
DF = 300/sin(10 deg) = 1727.63 meters
</span>
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
Well percents are probability, and probability is similar to theory. So i think its theoritical probability.
Hope this helps.