-24x
thatll be the answer for gcf
Answer:
1-B
2-C
3-D
Step-by-step explanation:
In the attached file
To solve
this exercise, we must calculate the Maximum Common Divisor (M.C.D.), which is the greatest common divisor of 62,108 and 180. We apply factor decomposition, and we
obtain:
162= (3^4)(2)
108= (2^2)(3^3)
180= (2^2)(3^2)(5)
We choose
the common numbers with their lowest exponent:
M.C.D.= (2)(3^2)
M.C.D.= 2x9
M.C.D.= 18
The greatest number of baskets that can be made is: 18 baskets
To know how
many apples, oranges and bananas are in each basket, we must divide the
greatest number of them that can be made between the total amount of apples,
oranges and bananas, as shown below:
162/18= 9 apples
108/18= 6 oranges
180/18= 10 bananas
So, there are 9 apples, 6 oranges and 10 bananas in each basket.
Eliminate y by writing the bottom equation into the top one:
-1/2x - 4 - 3x = 3
-3.5x = 7
x = -2
y= -1/2 * -2 - 4 = -3
As there is no other info given .
So we can choose any two ordered pairs whose mid point will come out to be (4,-10)
So we can one subtract a number from either x or y , and correspondingly add the same number to same variable again.
for example
we can add 2 to x and subtract 2 from x
So we get two ordered pairs as
(4-2 , -10) , (4+2, -10)
So
(2,-10) and (6,-10)