Answer:
Step-by-step explanation:
Given
--- (1)
---- (2)
Required
Find x and y
Make x the subject in (1)
Substitute 5- y for x in (2)
Open bracket
Collect like terms
Divide both sides by 2
Substitute this for y in
L.C.M
Slope of line ab = 6-2 / 8-4 = 4/4 = 1
So the slope of the perpendicular line is -1/1 = -1
This line passes through the midpoint of ab
The midpoint of ab = ( 8+4 / 2 , 2+6 / 2) = (6, 4)
Finding the equation of the perpendicular line:-
y - y1 = -1(x - x1) where x1 = 6 and y1 = 4:-
y - 6 = -1(x - 4)
y = -x + 10 is the answer
Answer:
The opportunity cost of playing an hour of video games is not reading 3 chapters of a book.
Step-by-step explanation:
Given that Anthony can either play 4 hours of video games or read 12 chapters of a book, to determine what is Anthony's opportunity cost of playing one hour of video games, the following calculation must be performed:
4 = 12
1 = X
1 x 12/4 = X
12/4 = X
3 = X
Therefore, the opportunity cost of playing an hour of video games is not reading 3 chapters of a book.
Let us assume that cost of each granola bar be $x and that of a cup of yogurt be $y
From person A's purchase, we get
12x + 7y = 15.5; equation A
And from person B's purchase,
6x + 11y = 11.5; equation B
Let us multiply equation B by 2 and subtracting equation A from it, we will get
12x + 22y - 12x - 7y = 23 - 15.5,
=> 15y = 7.5
or, y = 0.5
Substituting value of y in equation A, we can find x
12x + 7*0.5 = 15.5
=> x = (15.5 - 3.5)/12
or, x = 1
Therefore, cost of granola bar is $1, and that of yogurt is $0.5
Answer:
0.00005
Step-by-step explanation:
The probability of the stock going up and that of winning in the lottery are independent.
Hence, the probability of both = P(stock going up) × P(winning in the lottery) = 0.5 × 0.0001 = 0.00005
