27 students are learning to make balloon animals. There are 172 balloons to be shared equally among the students
2 answers:
10 balloons are left over after sharing them equally and 17 more balloons are needed
- Numbers of students learning to make balloon animal = 27
- Total balloon to be shared equally among the students = 172
<u>First step: </u>
To determine how many balloons each student gets = the total balloons to be shared equally among the students divided by the number of students learning to make balloon animal.
Therefore, we have:
=
= 6.37
= 6 balloons (each student get 6 balloons)
<u>Second step: </u>
To get how many balloons will be used by the entire student, then we should multiply the number of balloon each student gets (6) and the numbers of students learning to make balloon animal (27)
Therefore, we have:
= 6 x 27
= 162 (162 balloon will be used by the student)
To calculate the remaining balloons, then we have to subtract the total balloons to be shared equally by the students and the numbers of balloon to be used by the entire students
Therefore, we have:
= 172 – 162
= 10 balloons.
Thus, 10 balloons are left over after sharing them equally.
<u>Part B: </u>
If each student needs 7 balloons, then 17 more balloons are needed.
Since we have 10 balloons left after sharing them equally, to determine how many more balloons are needed = total number of students learning to make balloon animal – the numbers of balloon left over after sharing them equally.
Therefore, we have:
= 27 – 10
= 17 balloons
Therefore, if each student needs 7 balloons, 17 more balloons are needed.
<h3><u>Another step:</u></h3>Another way you could determine how many balloons are needed is to multiply the numbers of balloon each student needs and the total number of student learning to make balloons animals, and subtract the value you derived from the total balloon to be shared equally among the students.
Therefore, we have:
= 7 x 27
= 189 balloons
= 189 - 172
= 17 balloons.
LEARN MORE:
- Numbers: brainly.com/question/2906770
- If each student needs 8 balloons how many balloons are needed brainly.com/question/7019709
KEYWORDS:
- balloon animals
- 7 balloons
- numbers
- dividing
- multiplying
- students
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Answer:
3.189 seconds
Step-by-step explanation:
You want f(t) = 0, so ...
0 = -16t^2 +13.4t +120
0 = t^2 -0.8375t -7.5 . . . . divide by -16
0 = (t^2 -0.8375t +0.41875^2) -7.5 -0.41875^2 . . . . complete the square*
0 = (t -0.41875)^2 -7.6753515625 . . . . write as a square
√7.6753515625 = t -0.41875 . . . . . . . . add 7.67... and take positive root
t = 0.41875 +√7.6753515625 ≈ 3.189192 . . . . add 0.41875
It will take the rock about 3.189 seconds to hit the ground.
_____
* We complete the square by adding the square of half the coefficient of the linear term (= (-0.8375/2)^2) inside parentheses and subtracting the same amount outside parentheses. This gives a form inside parentheses that is ...
(t^2 -2at +a^2) = (t -a)^2
Completing the square is complicated a little bit by a leading coefficient that is not 1. That is why we divided by -16 first.
_____
<em>Comment on the question</em>
We note that the rock "falls" from the 120 foot high balcony by first traveling upward at a rate of 13.4 feet per second. We also note that the height function is written f(x), but uses t as the variable. That is, it should be f(t) = ...
