Answer:
13 buttons
Step-by-step explanation:
The first step is to add the buttons received by the 6 students.
= 10 + 14 + 15 + 12 + 13 + 14
= 78 buttons
Therefore the number of buttons received by each students can be calculated as follows
= 78/6
= 13 buttons
Hence each student will receive 13 buttons
Equation of an ellipse:
(x-h)²/a² + (y-k)²/b² = 1
Since it passes through the origin (0,0) , then h = k = 0 hence the equation:
(x-0)²/a² + (y-0)²/b² = 1
x²/a² + y²/b² = 1
2a = major axis = 2.|5| + |-5| = 10. then a = 5 and a² = 25
2b = minor axis = 2.|3| + |-3| = 6. then b = 3 and b² = 9
Then the final equation is:
x²/25 + y²/9 = 1
There are 4 students who have piercings both on their ear and their noses.
Answer:
1 solution (x = 1.5)
Step-by-step explanation:
2x + 2 - 3x = 3x - 4
First, combine like terms
2 - x = 3x - 4
Add 4 to both sides
6 - x = 3x
Add x to both sides
6 = 4x
Divide both sides by 4
1.5 = x