Answer:
The answer to your question is There were 59/168 muffins left.
Step-by-step explanation:
Data
Initial amount of muffins = 1
Amount of muffins given to his neighbors = 11/21
Amount of muffins eaten = 1/8
Amount of muffins left = ?
Process
1.- Subtract the amount of muffins given to the neighbors and the amount of muffins eaten to the initial amount of muffins.
1 - 11/21 - 1/8 =
-Look for the greatest common factor
21 8 2
21 4 2
21 2 2
21 1 3
7 7
1
GCF = 2 x 2 x 2 x 3 x 7
= 168
-Solve the arithmetical operation
1 - 11/21 - 1/8 = (168 - 88 - 21) / 168
= 59/168
-Conclusion
There were 59/168 muffins left.
The quadratic function that passes through the point (0,6), (3,15.8), and (9.5,0) is y = -0.6x² + 5.07x + 6
<h3>How to determine the quadratic function?</h3>
The points are given as:
(0,6), (3,15.8), and (9.5,0)
A quadratic function is represented as:
y = ax² + bx + c
Next, we substitute the points in the equation.
a(0)² + b(0) + c = 6
a(3)² + b(3) + c = 15.8
a(9.5)² + b(9.5) + c = 0
Simplify the expressions
c = 6
9a + 3b + c = 15.8
90.25a + 9.5b + c = 0
Solve for a, b and c using a graphing calculator
a = -0.6
b = 5.07
c = 6
Hence, the quadratic function is
y = -0.6x² + 5.07x + 6
Read more about quadratic functions at:
brainly.com/question/1214333
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Answer:
it's impossible because theres only 4 queens
Let selling price = SP and cost price = CP
He makes 20 % on selling price means = >
(sp-cp) / sp = 20 % = 20/100 = 0.2
(sp - cp) / sp = 0.2
1 - cp/sp = 0.2
1 - 0.2 = cp/sp
0.8 = cp/sp
Reversing 1 / 0.8 = sp/cp = 1.25
We need to find profit on cost price means =
=(sp-cp)/ cp
= sp/cp - 1 = 1.25 - 1 = 0.25
Means 25 % profit on cost price : Answer
Hope that will help :)