The greatest common factor is 22
Explanation:
It is the largest number that goes into both 110 and 132.
Answer: k=21
Step-by-step explanation:
1. Distribute the 9 to the k and the -4 in the parentheses.
9 · k = 9k and 9 · -4 = -36
You now have 9k - 36 - 7k. You can combine the like terms of 9k and -7k and get 2k, giving you 2k - 36.
2. For the other side of the equation, you also distribute -2 to the k and -8 in the parantheses.
-2 · k = -2k and -2 · -8 = 16
You now have 32 - 2k + 16. Combine the like terms 32 and 16 (32 + 16) and you get 48. This gives you the equation 48 - 2k.
3. Now you should have the equation 2k - 36 = 48 - 2k.
You want the k on one side of the equation so you need to cancel out one of them. I cancelled out -2k by adding 2k to it. You also need to add this 2k to your 2k on the other side of the equation.
Ex: 2k - 36 = 48 - 2k
+2k +2k
4. Now you should have 4k - 36 = 48. You need to get 4k by itself so cancel out -36 from both sides by adding 36 to -36 and adding 36 to 48.
You should now have 4k = 84 (48 + 36 = 84).
Divide both sides by 4 to get k by itself. 4 divided by 4 makes k and 84 divided by 4 equals 21. This makes k = 21, which is your answer.
Answer:
Step-by-step explanation:
Notez que: un quintal =
une unité de poids égale à 100 kg
Un jardinier a récolté deux quintaux et trois quarts de pommes.
Le nombre total de pommes récoltées = 200 kg + 3/4 du quintal de pommes
= 200 kg + 0,381 kg
= 200,381 kg
Il vend un quintal un quart à un voisin
Le montant qu'il a vendu à un voisin = 100 + 1/4 quintal de pommes
100 + 0,127
= 100,127 kg
Il vend également 7/10 d'un quintal sur le marché du village
= 7/10 × 100 kg
= 70 kg de pommes restantes
2/5 d'un quintal à un pâtissier.
2/5 × 100 kg
= 40 kg de pommes restantes
À l'aide d'une fraction, exprimez la quantité de pomme que le jardinier a gardée pour lui.
La quantité que le jardinier lui a réservée =
200 3/4 kg - (100 1/4 kg + 70 kg + 40 kg)
200,381 kg - (210,127 kg)
Answer:
y = (1/3)x + 1
Step-by-step explanation:
You first find the slope:
(2 - (-1))/(3 - (-6)) =
3/9 =
1/3
This means the equation of the line is y = (1/3)x + b, where b is a real number.
Plug in either of the points to find the value of b:
-1 = (1/3)(-6) + b -->
-1 = -2 +b -->
1 = b
This means the equation is y = (1/3)x + 1
Answer:
Step-by-step explanation:
