Let x be the price for adults and y be the price for children at the restaurant. The total amount paid by the Taylor family is $40.50 and may be expressed as 2x + 3y. That of the Wong family may be expressed as 3x + y and amounts to $38. Thus, the system of linear equation is,
2x + 3y = 40.50
3x + y = 38
The answer therefore is letter C.
Step-by-step explanation:
rearrange to get
remove pi from both sides
Answer: y = -1, y = 6 (choice D)
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Work Shown:
y - (6/y) = 5
y*(y - (6/y)) = y*5 <<--- see note 1 below
y^2 - 6 = 5y
y^2 - 5y - 6 = 0
(y+1)(y-6) = 0 <<--- see note 2 below
y+1 = 0 or y-6 = 0
y = -1 or y = 6 which are the two answers
note 1: I multiplied both sides by y to clear out the fraction (the LCD is y)
note 2: I factored the left side by asking myself "what two numbers multiply to -6 and add to +5?" the answer to that question is +1 and -6 which helps lead to the factorization. An alternative route instead factoring is to use the quadratic formula
The formula for the area of a circle is r² x π.
-Since we know the diameter of the circle, we can divide by 2 to find the radius of the circle.
10/2 = 5
-From here, we can substitute our values in. Since we're using 3.14 for pi, we'll substitute that as well.
(5)² x (3.14)
-And finally, we can solve to find the area of the circle.
(25) x (3.14)
(78.5)
Therefore, the answer is 78.5 meters.
<em>Hope this helped! :)</em>
Answer:
20 eggs
Step-by-step explanation:
If Lena has 70 eggs and gives 50 to her friend we will have to subtract.
70 - 50 = 20
Lena has 20 eggs left.
Have a wonderful day! :)
