<span>12a^3b + 8a^2b^2 − 20ab^3
</span>12a^3b = 4ab(3a^2)
8a^2b^2 = 4ab(2ab)
20ab^3 = 4ab(5b^2)
GCF = 4ab
12a3b + 8a2b2 − 20ab3 = 4ab(3a^2 + 2ab - 5b^2)
Answer:
The answer is 1/2
Step-by-step explanation:
First you must the least common denominator so that you can add the two fractions. The least common denominator between 3/4 and 3/8, would be 8.
To get 3/4 to the least common denominator, you have to multiply top and bottom by 2. The product of this will be 6/8.
Next you add the two fractions: 6/8 + 3/8 = 9/8
Simplify your improper fraction to get on and 1 eighths or in number form 1 1/8
After this you must subtract how much she gave away so you can use your improper fraction to make it easier and subtract five eighths from nine eighths: 9/8 - 5/8 = 4/8
So, Luna has four eighths of a glass left but first you must simplify your answer. both 4 and 8 divide by 4 to get 1/2.
So Luna's glass only has 1/2 in the cup.
Make sure you be optimistic and see it as half full, instead of the pessimistic view of half empty. Remember to stay positive and share good vibes. Hope this answer helps you.
Answer:
9:3 or 9 to 3
Step-by-step explanation:
Answer: 242 = 190 + 4t
Step-by-step explanation:
You know that the maximum capacity of the restaurant is 242 people, meaning that at most there can only be that many customers seated at that time. Normally, the equation would be 242 = 10b + 4t, but since you already know the number of booths, your work is cut in half, giving you 242 = 10(19) + 4t. The equation would be this because you have the capacity being equal to the number of tables x the number of people at each table and the number of booths x the number of people seated at each of them.
Answer:
-24
Step-by-step explanation:
-4-8= -12
8-2=6
12+6=18
-12b+6c+18
Greatest common factor = 6
-12/6=-2
6/6=1
18/6=3
D 6(-2b+1c+3)
-12(2)+6(-3)+18
-24+(-18)+18
-42+18= -24
-24
