Answer:
a rotation about point H
Step-by-step explanation:
i just took the test
This is the same as averaging. You add them and divide by 2.
((m/n) + (p/q))/2 would be a number in between m/n and p/q.
Do note that n and q must be nonzero, but luckily that is a given.
Let the school hire x buses and y vans.
A bus can hold 40 students and 3 teachers.
A van can hold 8 students and 1 teacher.
The number of students riding in buses and vans is at least 400, therefore
40x + 8y ≥ 400 (1)
The number of teachers riding in buses and vans is at most 36, therefore
3x + y ≤ 36 (2)
Write (1) and (2) as
y ≥ 50 - 5x (3)
y ≤ 36 - 3x (4)
The equality portion of the solution of (3) and (4) is
36 - 3x = 50 - 5x
2x = 14
x = 7 => y = 36 - 3*7 = 15
A graph of the inequalities indicates the acceptable solution in shaded color, as shown below.
The minimum cost of renting buses and vans is
7*$1200 + 15*$100 = $9900
Answer: The minimum cost is $9,900
we know that
A <u>geometric sequence</u> is a sequence of numbers in which the ratio between consecutive terms is constant
so
Let







therefore
The common ratio is equal to 
<u>the answer is</u>
The common ratio is 1.02
Answer: There are 20 girls who preferred insta.
Step-by-step explanation:
Since we have given that
Total number of students who were surveyed = 100
Number of boys who preferred insta among 50 boys = 40
Number of girls who preferred snpchat among 50 girls = 30
We need to find the number of girls who preferred insta.
So, Number of girls who preferred insta = Total number of girls - Number of girls who preferred snpchat.

Hence, there are 20 girls who preferred insta.