Answer: D) 1.47x + 1.61y = 229.11
Explanation: The amount of beverages and candy sold combined (addition) should be set equal to the targeted goal per game ($229.11).
59 is a tough bird to deal with; its only factors are 1 and 59.
Thus, forget about factoring. Instead, use the quadratic formula, or solve the equation by completing the square.
Please note: x2 is ambiguous. Please write x^2 to indicate "the square of 2."
Here you have 1x^2 - 12x + 59 = 0, for which a=1, b=-12 and c=59.
Use the quadratic formula: x=[-b plus or minus sqrt(b^2-4ac)] / (2a)
to find the two roots. Notice that the "discriminant" b^2 - 4ac will be negative, meaning that your two roots will be "complex."
The time that rocket will hit the ground, to the nearest 100th of second is 10.43 seconds
Given the equation representing the height reached by a rocket as:

The rocket will hit the ground when y = 0. Substituting y = 0 into the expression to get x;

On factorizing:
x = 10.43 seconds
Hence the time that rocket will hit the ground, to the nearest 100th of second is 10.43 seconds
Learn more here: brainly.com/question/14479223
Answer: 2017
Step-by-step explanation:
Given : The proportion of people that smoke : p=0.3
Margin of error : E= 0.02
Significance level :
Critical value : 
The formula to calculate sample size ( if proportion is known) :-

Hence, the required minimum sample would be 2017.
Find the lowest common denominator and add.
1/4 or 3/12 of cayenne + 1/3 or 4/12 of black pepper = 7/12 teaspoons of spices total