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▹ Answer
B. -48
▹ Step-by-Step Explanation
Distribute each number to factor so you can solve
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UW=12KL because ku and wl are intersecting points so that means UW=12KL
Answer:
a)
i) we have the equation:
3*x - 2*y
We want to find a common multiple of 3 and 2.
One can be:
3*6 = 18
2*9 = 18
And both numbers 6 and 9 are on the list, then if we take:
x = 6, y = 9
we get:
3*6 - 2*9 = 18 - 18 = 0
The solution is x = 6, y = 9.
ii) The greatest possible value of:
3*x - 2*y
Will be when x is the largest value of the list (because it is on the positive term) and y is the smallest value on the list (because it is on the negative term)
then we need to have x = 10, y = 5
The value will be:
3*10 - 2*5 = 30 - 10 = 20
iii) Now we want to have the smallest value on x, and the largest one on y, then:
x = 5, y = 10
The smallest value of the equation will be:
3*5 - 2*10 = 15 - 20 = -5
B) We want to solve:
5*(a - 4*b)
when:
a = -7
b = 1/4
This is kinda easy, we just need to replace the variables in the equation to get:
5*(a - 4*b) = 5*(-7 - 4*(1/4)) = 5*(-7 - 4/4) = 5*-8 = -40
The least common multiple (LCM) to determine the least common denominator for 2/3, 5/6, and 9/4 = 12.
10) The GCF of a set of numbers is the largest number that divides into both numbers.
The GCF of 24 and 36 is 12.
15) 
can be simplified by dividing the top (numerator) and the bottom (denominator) by the GCF. The GCF of 30 and 54 is 6. The new fraction is 
. 6/9
20) The GCF of 
is 11. The new fraction is 
. 5/8
