Answer:
0.75 pound
Step-by-step explanation:
Amount of chocolate put in each basket will be the pounds of chocolate divided by the number of baskets
Pounds of chocolate = 15
Number of baskets = 20
Therefore
15/20
3/5 = 0.75
0.75 pound of chocolate will be put in each basket
Answer:
The volume of the new crate is exactly 174.4% of the old crate.
Step-by-step explanation:
Volume of a rectangular prism:
The volume of a rectangular prism of dimensions x, y and z is given by:
She decided that the dimensions of the new crate needs to be increased by 40% of the original length.
Each dimension is increased by 40%, which means that each is multiplied by 1 + 0.4 = 1.4. So
Percentage:
The new volume is 2.744 the original volume. Considering the original volume is 100% = 1, it increased by 2.744 - 1 = 1.744 = 1.744*100% = 174.4%.
The volume of the new crate is exactly 174.4% of the old crate.
Answer:
The equation of the parabola is , whose real vertex is , not .
Step-by-step explanation:
A parabola is a second order polynomial. By Fundamental Theorem of Algebra we know that a second order polynomial can be formed when three distinct points are known. From statement we have the following information:
, ,
From definition of second order polynomial and the three points described above, we have the following system of linear equations:
(1)
(2)
(3)
The solution of this system is: , , . Hence, the equation of the parabola is . Lastly, we must check if belongs to the function. If we know that , then the value of is:
does not belong to the function, the real point is .