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.
Five less than twice what negative number squared is 157 <- put into an expression
-5 + 2(-x^2) = 157
Now simplify:
-5 + -2x^2 = 157
-2x^2 = 162
-2x^2 - 162 = 0
2x^2 + 162 = 0
x^2 + 81 = 0
The equations has the form:
c=mt, where m is the constant of proportionality
If we isolate m in the equation above:
c=mt
c/t=mt/t
c/t=m
m=c/t
m is c divided by t
If we take the values of the table, and divide c by its correspondent t, we get:
m=c/t=25.50/3=34.00/4=42.50/5=51.00/6=59.50/7→m=8.5
Then: c=8.5t
Answer: The equation that represents the proportional relationship in the table is: Second option
8 because 20 divided by 5 (for the ratio) is 4 and then you solve the second part of the ratio so you do 4 times 2
Answer:
3(x-1)
Step-by-step explanation:
Let the number be 'x'
When I take away 1 , the number is x - 1.
When I multiply 3, the number is 3(x-1).
The number is 3(x-1).
