Kinetic Energy
=
1
2
m
v
2
=
1
2
1120
⋅
40
2
=
896000
J
=
8.96
⋅
10
5
J
25 students
194 balloons
194/25 = 7.76
Each student gets 7 balloons, 7 x 25 = 175 balloons will be used
194 - 175 = 19 balloons remaining (Answer to part 1 of this question)
If each student needs 8 balloons
8 * 25 = 200
200 - 194 = 6 ballons needed (Answer to part 2 of this question)
We also could have found the answer to part 2 by saying that we had 19 balloons left over when the students each were given 7 balloons
Each student needs another 1 balloon = 25 balloons,
We have 19 left over
25 - 19 = 6 balloons need to be purchased (we got the same answer both ways so it is very likely we have the correct answer)
Answer:
C
Step-by-step explanation:
Under a reflection in the y- axis
a point (x, y ) → (- x, y ), thus
A(3, 4 ) → A'(- 3, 4 )
Since the point A and it's reflection lie on a horizontal line then
distance between = | 3 + 3 | = | 6 | = 6
Quotients can sometimes be irrational so it is necessary to estimate them, products on the other hand are only rational, provided they aren't multiplied by an irrational, so it is not necessary to estimate
Convert the mixed fractions into improper fractions and divide them to get them into decimals. Then see if pi is in between those numbers.
Ex: 2 3/4 = 11/4 = 2.75
