Answer:
24
Step-by-step explanation:
there are 6 seats and 3 boys, 3 girls.
First seat can be given to either boy or a girl.
So there are two ways.
If a boy is selected say, then he has to occupy 3rd and 5th only.
There are 2 ways
Now available positions are 2nd, 4th and 6th, in this girls can be arranged in 3! ways = 6
So total number of ways =
The two numbers I will call x and y.
x + y = 31
x * y = 150
You then solve for one variable in either equation and substitute it into the other equation.
x + y = 31
x = 31 - y
Then you plug it in:
x * y = 150
(31 - y) * y = 150
-y² + 31y = 150
y² - 31y + 150 = 0 Then factor:
(y - 6)(y - 25) = 0
y - 6 = 0 y - 25 = 0
y = 6 y = 25
When you plug y into the original equations, it comes out that the two numbers are 6 and 25. You can check your work because 6+25 = 31 and 6*25 = 150. Hope this helps! :)
Answer: A = -2/5
Step-by-step explanation:
- 6/5 - 2/5 = - 8/5 aka - 1 3/5
-1 3/5 ÷ 4 = - 2/5
Answer:
It would be option 2.
Step-by-step explanation:
This is because option 1 does not have a irrational number that goes on indefinitely, option three has the square root of 25, which equals 5 meaning it is rational, and the last option also gives us rational choices. Therefore, the only possibility is that it would be option 2.
Answer:
Step-by-step explanation:
Area of the Rectangular Carpet=12*5=60m²
Area of the Square rug=2*2=4m²
Expressing the area of the rug as a fraction of the total area of the carpet, we have:
.
The fraction of the carpet that is covered by the rug is .
