Answer:
Each student sold 9 balloons
Step-by-step explanation:
In this question, we are asked to calculate the number of balloons sold by each student in each group at a carnival for the students. We proceed as follows.
Firstly, to calculate the total number of balloons sold by each group, we divide the total number of balloons by the number of groups.
Mathematically, this is equal to 162 balloons/6 = 27 balloons
This means that each of the groups sold equal number of balloons and that is equal to 27 balloons
And, we are made to know that there are 3 students per group. And the question asks to know the total number of balloons sold by individual students. To get the value of this, what we do is to divide the number of balloons in each group by the number of students in each group.
Mathematically, this is equal to 27/3 = 9 balloons per student
The answer is:
100
The explanation is that if you follow PEMDAS you will get that answer.
Answer:
- 1. C, 2. B, 3. A, 4. C, 5. A, 6. - 7. C, 8. A, 9. (3, 13)
Step-by-step explanation:
<h3>Question 1</h3>
- 4p + 7 = 3 + 4 + 4p
- 4p + 7 = 4p + 7
Both sides are equal, so any value of p makes it right. It means there are infinitely many solutions
<h3>Question 2</h3>
2(3x − 4) = 8 + 2x + 4
Step 2 was wrong, it should be 6x - 8 = 12 + 2x
<h3>Question 3</h3>
- 3/(4z) - 1/(4z) + 3 = 2/(4z) + 5
- 2/(4z) + 3 = 2/(4z) + 5
- 3 = 5
It ends up with false equation, so no solution.
<h3>Question 4</h3>
- 1.6m − 4.8 = −1.6m
- 1.6m + 1.6m = 4.8
- 3.2m = 4.8
- m = 4.8/3.2
- m = 1.5
<h3>Question 5</h3>
Line C: y = x + 14
Line D: y = 3x + 2
- x+ 14 = 3x + 2
- 3x - x = 14 - 2
- 2x = 12
- x = 6
Solution is (6, 20), this is the intersection of lines
<h3>Question 6</h3>
- It should have a graph attached, so ignored
<h3>Question 7</h3>
- b - 2 - 3b = 16 ⇒ -2b = 18 ⇒ b = - 9
Solution is (a, b) = (- 11, - 9)
<h3>Question 8</h3>
Easy method is substitution: w + 2 = 7w - 16
<h3>Question 8</h3>
<u>Easy method is substitution:</u>
- 7x - 8 = 5x - 2
- 7x - 5x = 8 - 2
- 2x = 6
- x = 3
- y = 7*3 - 8 = 21 - 8 = 13
- The point (3, 13) is the solution and it is the intersection of the lines.
<h2><em><u>
Answer: 1 5/7 </u></em>
</h2>
Step-by-step explanation: