Answer:
The largest possible group size is 3 students.
Step-by-step explanation:
The greatest common factor (GCF) of the numbers 18, 24, and 27 is 3. That is, the largest number that can be divided into all three numbers.
Answer:
Step-by-step explanation:
Your answer is the first picture (upper left)
Circular pen means you are going to use Area = Pi(r^2).
So 78.5 = pi(r^2). Divide by pi on both sides to get r^2 = 78.5/pi. Take the square root of that to get r or radius = approximately 4.99. If you need an exact answer then use
![\sqrt{ \frac{78.5}{ \pi } }](https://tex.z-dn.net/?f=%20%5Csqrt%7B%20%5Cfrac%7B78.5%7D%7B%20%5Cpi%20%7D%20%7D%20)
for the next part because you are not done yet.
Plug whatever R you use into the circumference formula of Circumference = 2(pi)(r).
If you use 4.99, you do 2(pi)(4.99) which is approximately 31.35. If you use the exact answer, you do 2(pi)(
![\sqrt{ \frac{78.5}{ \pi} }](https://tex.z-dn.net/?f=%20%5Csqrt%7B%20%5Cfrac%7B78.5%7D%7B%20%5Cpi%7D%20%7D%20)
) which gives you approximately 31.41.
Either way you'll need about 31 meters of chicken wire but the 31.40796 or ~31.41 is closer to the exact answer.
C and D
Hope this helps !
Answer:
first number(x) = 2 second number(y)= 6
Step-by-step explanation:
This is an example of a simultaneous equation.
First write this word problem as equations, where x is the "first number" that you've mentioned and y is the "second number".
x + 2y = 14 (equation 1)
2x + y = 10 (equation 2)
This is solved using the elimination method.
We need to make one of the coefficients the same - in this case we can make y the same. In order to do this we need to multiply equation 2 by 2, so that y becomes 2y.
2x + y = 10 MULTIPLY BY 2
4x + 2y = 20 (this is now our new equation 2 with the same y coefficient)
Now subtract equation 1 from equation 2.
4x - x + 2y - 2y = 20 - 14 (2y cancels out here)
3x = 6
x = 2
Now we substitute our x value into equation 1 to find the value of y.
2 + 2y = 14
2y = 12
y = 6
Hope this has answered your question.