It depends. For example the GCF of 4 &2 is 4, so in a sense yes. With other numbers (such as odds) that is not always the case :D
Answer:
1. 5x +43
2. -1.5x - 7
3. 6.2 - 2x
Step-by-step explanation:
<u />
<u>Equation 1:</u>
5 (x+8) +3
First, we can distribute the 5 to the (x+8) and get 5x + 40. Distributing is when we multiply the 5 by the first number (x) and then by the second number (8) Because they aren't like terms (don't both have x's) we cannot combine then and must keep them separated by a subtraction sign
Now we have: 5x + 40 + 3
Next, we can combine the like terms. This means that any that have the same variable can be combined. So, the 5x has no other x's so he has to stay how he is. The 40 and the 3, however, can be added together to get 43.
Our finished equation is: 5x + 43
<u />
<u>Equation 2:</u>
3.6x - 7 - 5.1x
First, we can combine like terms as we learned in the last problem. This would be our x's since we have multiple.
We can add 3.6x and -5.1x and get -1.5x
Now we have: -1.5x - 7
<u />
<u>Equation 3:</u>
4 + 8x + 2.2 - 10x
We can start with either the numbers with x's or without but I'll just do the x's. So we have 8x and -10x. Adding these together would get us -2x.
Next, we can combine 4 and 2.2 and get 6.2.
Now, putting these back into our equation would look like this:
6.2 - 2x
I'm not sure how much my explanations helped, but I hope you understand!!
Answer:
D
Step-by-step explanation:
Option A:
(3)¹ × (3)⁻¹⁰ = (3)⁽¹⁻¹⁰⁾ = 3⁹
=
=
Option B :
(3)⁻¹ × (3) ¹⁰ = 3⁽¹⁰⁻¹⁾
= 3⁹
= 19683
Option C :
(3⁻⁴) × (3)⁷ = 3⁽⁷⁻⁴⁾
= 3³
Option D :
3⁴ × 3⁻⁷ = 3⁴⁻⁷
= 3⁻³
=
=
Therefore, option D is the answer.
Answer:
160
Step-by-step explanation:
800 gallons in 5 days. The days is the denominator and the gallons are the numerator, whatever you do the the bottom you do to the top, so you divide the denominator by 5 and the numerator by 5 and you get 160 gallons per day. If you want to know how your answer is right, multiply 160 by 5