Answer:
p = 3
Step-by-step explanation:
22 - 7 = 15
5p = 15
p = 15 ÷ 5 = 3
Step-by-step explanation:
There are four odd number between 1 and 7:
1, 3, 5, 7
So the probability that a randomly selected ball is an odd number is 4/7.
Let x and y be the two numbers
Saying "The sum of two numbers is 27" means x+y = 27. The term "sum" is the result of adding. So the first equation is x+y = 27
The second equation is y = x+3 where we assume that y is the larger number of the pair.
So your system of equations will be
x+y = 27
y = x+3
Use substitution to solve this system.
x+y = 27
x+( y ) = 27
x + (x+3) = 27 ... notice how y has been replaced with x+3 (since y = x+3)
x+x+3 = 27
Solve for x and then use this to find y. I'll let you finish up.
If you need more help, then please let me know.
Answer: 56 square feet
Step-by-step explanation:
When a square is inscribed within a circle, the side length of the square is equal to the diameter of the circle, divided by the square root of 2, this is the same as a square being cut out of the circle.
This means that area of the square = ![(\frac{14}{\sqrt{2} }) ^{2}](https://tex.z-dn.net/?f=%28%5Cfrac%7B14%7D%7B%5Csqrt%7B2%7D%20%7D%29%20%5E%7B2%7D)
= 98 square feet
Area of the circle is ![\pi](https://tex.z-dn.net/?f=%5Cpi)
![r^{2}](https://tex.z-dn.net/?f=r%5E%7B2%7D)
= 3.142 X 7 X 7
= 153.958
Area of the remaining portion will be Area of the circle - Area of the square , that is
153 . 958 - 98
= 55. 958
≈ 56 square feet