The system of equation that can be used to represent the number of meals sold is
x + y = 1000
5x + 10y = 3,500
Given:
Number of $5 meals sold = x
Number of $10 meals sold = y
Total number of meals = 1000
Total amount of meals = $3,500
The equations:
Quantity
x + y = 1000
Price
5x + 10y = 3,500
Therefore, the system of equation that can be used to represent the number of meals sold is
x + y = 1000
x + y = 10005x + 10y = 3,500
Learn more about equation:
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Answer:
r=1/π
Step-by-step explanation:
Area of the circle is defined as:
Area = πr²
Derivating both sides
=2πr
=
x
= 2πr
If area of an expanding circle is increasing twice as fast as its radius in linear units. then we have :
=2
Therefore,
2πr
= 2 
r=1/π
Well the opposite of a square is a square root so it would be s=[square root of]60
Answer:
5in x 10in
Step-by-step explanation:
Solution:
1. You have to assume that the ring will land on the board and as a result, just focus on one rectangle of the board since they are all the same size.
2. For the ring to land entirely inside the rectangle, the center of the ring needs to be 1.5 inches inside the border (radius is 1.5 inches), so the "winning rectangle" will have dimensions:
L = (x - 2(1.5)) = x - 3
w = (2x - 2(1.5)) = 2x-3.
3. Now, we will set up and solve our geometric probability equation. The winning rectangle's area of (x-3)*(2x-3) divided by the total rectangle's area of x*(2x) = 28%
(2x-3)*(x-3)/(2x^2) = .28
2x^2 - 9x + 9 = .56x^2
1.44x^2 - 9x + 9 = 0
4 . Now you can plug that in the quadratic formula and get the solutions x = 1.25 or 5. However, it cannot by 1.25 because that is too small of a dimension for the the circle with diameter of 3 to fit in, the answers has to be 5.
5. As a result, the dimensions of the rectangles are 5in x 10in.
Answer:
Step-by-step explanation:
15 + 45 = 5( _ + 9)
60 = 5 ( 3 + 9)
60 = 5(12)
60 = 60