To get the common denominator, we need to get the multiples of each denominator.
multiples of 6 : 6, 12, 18
multiples of 3 : 3, 6, 9, 12
multiples of 4 : 4, 8, 12
The common multiple 12. So, we need to multiply each fraction by the corresponding number that will result to a product of 12 in the denominator. Whatever number is multiplied to the denominator must also be the number multiplied to the numerator.
1/6 * 2/2 = 2/12
1/3 * 4/4 = 4/12
3/4 * 3/3 = 9/12
Since the denominator is already common, we use the numerator to arrange it in order from least to greatest. 2 is lesser than 4 and 4 is less than 9.
So, order from least to greatest ⇒ 1/6 , 1/3, and 3/4
Note: in the 2nd eqn we are given a formula for x: x = 2y-15. Sub this result into the first eqn; doing so will eliminate x:
-5(2y-15)+4y =3
-10y + 75 + 4y = 3, so -6y = -72. Then y = 12. Solution is (9,12).
Check this by subst.:
Is -5(9)+4(12) = 3?
Is -45 + 48 = 3? YES.
Answer:
One half base times height
Step-by-step explanation:
The area of the triangle is always (1/2)bh with b being base and h being height. Any of the sides can be the base.
Answer:
d
Step-by-step explanation:
13 red, 1 king of spade, 1 ace of club
The answer is going to be H because if you plug in x from the table it will give you y.