Answer:
The Magazines each costed $8.30 and the books cost $13.80 for the amount of $41.50. and the 2 magazines and 5 books for $42.25 the 2 magazines is $21.12 for each and $8.45 for each book.
Step-by-step explanation:I got the answers by taking the total cost and taking the number of books or if it was a a magazine and I would divide it by lets just say you have 42.25 dollars you would divide that by 3 and you would do it for every item with the total cost.
The equation that relates x and y is y = (1/3)x if the variables x and y vary directly and x = 18, y = 6.
<h3>What is a proportional relationship?</h3>
It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.
The question is incomplete.
The complete question is:
The variables x and y vary directly. Use the given values to write an equation that relates x and y. x = 18 y = 6
From the question:
y ∝ x
y = kx ..(1)
k is the constant of proportionality after removing the proportional sign.
Plug x = 18 and y = 6
6 = 18k
k = 1/3
Plug the value of k in the equation (1)
y = (1/3)x
Thus, the equation that relates x and y is y = (1/3)x if the variables x and y vary directly and x = 18, y = 6.
Learn more about the proportional here:
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The probability that a point is chosen randomly inside the rectangle is either in the circle or in the trapezoid is 0.23 option first is correct.
<h3>What is probability?</h3>
It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
The area of the rectangle = 30×21 = 630 square m
The total outcomes = 630 square m
The favorable outcomes = area of the circle + area of the trapezoid
= π(5)² + [(11+15)/2]×5
= 78.53 + 65
= 143.53 square m
Probability(a point chosen randomly inside the rectangle is either in the circle or in the trapezoid):
= 143.53/630
= 0.227 ≈ 0.23
Thus, the probability that a point is chosen randomly inside the rectangle is either in the circle or in the trapezoid is 0.23 option first is correct.
Learn more about the probability here:
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Your question is incomplete.
Answer:
10%
Step-by-step explanation:
According to the scenario, given data are as follows:
Students over age 21 = 30
Students under age 21 = 20
Choose student over age 21 = 3
Choose student under age 21 = 2
So, we can calculate chances by using following method,
Chances of student over age 21 = Number of choose student ÷ Total students
= 3 ÷ 30 = 0.10 = 10%
Similarly, Chances of student under age 21 = Number of choose student ÷ Total students
= 2 ÷ 20 = 0.10 = 10%
Hence, in both condition, chances are 10%.