Answer:
x=88
y=420
Step-by-step explanation:
Multiply the first equation by 3 and the second by 5 to cancel out.

Now plug y into one of the original equations.

Hope this helps! <3
Answer:
$49.5
Step-by-step explanation:
y = -x^2 + 99x - 932
The maximum point is :
dy/dx = 0
Take the first derivative of y
dy/dx = - 2x + 99
Put - 2x + 99 = 0
-2x = - 99
x = 99 / 2
x = 49.5
Hence, To make maximum profit, widget should be sold at $49.5 per widget.
first off, let's put 8y - 5x = 11, in a slope-intercept form, so we can see what's its slope

so the slope of this line is 5/8, well then

Answer:
Probability that the person preferred milk as his or her primary drink = 0.3
Step-by-step explanation:
Given -
In a recent survey, 18 people preferred milk, 29 people preferred coffee, and 13 people preferred juice as their primary drink for breakfast .
Total no of people is = 18 + 29 + 13 = 60
If a person is selected at random ,
The probability of person preferred milk = 
The probability of person preferred coffee = 
The probability of person preferred juice = 
Probability that the person preferred milk as his or her primary drink =
P ( milk ) = 
=
= 0.3