Step-by-step explanation:
Repeated Addition:
3/4 +3/4 +3/4 +3/4 = 12/4 = 3
The denomenator will stay the same (4). So all you need to do is add the numerator (top. number in the fracton, 3)
It is the same logic as a basic multiplication problem using reapeted additon
(see example below:)
10 * 5 = 50
10 +10 +10 +10 +10 = 50
Multiplication:
4 * 3/4 = 12/4 = 3
You should not multiply the denomerator. You should only multiply the numerator. So you multiply 4 times 3 and get 12. So, you should get 12/4.
I apologize for my bad spelling.
She removed 12 marbles because 3×12=36 and you can do commutative property and do 12×3= what? 36!
Your answer is
- Slope = -1.000/2.000 = -0.500
- x-intercept = 7/1 = 7.00000
- y-intercept = 7/2 = 3.50000
Step-by-step explanation:
Domain is the x and range is y so your domain is 2,3,4,5 and your range is 0 and 4
Expanding brackets is just your book's way of saying to use the distributive property and then simplify to solve each equation.
I'll show the work for a and b and then the answers for the rest.
a.
4(g + 5) - 4g
Multiply each part inside the parentheses by 4
4g + 4(5) - 4g
4g + 20 - 4g
Now combine like terms to simplify the equation. In this case, the 4g and - 4g cancel each other out.
4g - 4g + 20
0 + 20
20
20 is your answer.
b.
6(p + 4) + 2(p - 12)
Multiply each part of the first set of parentheses by 6 and the second set by 2
6p + 6(4) + 2p + 2(- 12)
6p + 24 + 2p - 24
Combine like terms
6p + 2p + 24 - 24
8p + 0
8p
8p is your answer
c. 6z
d. 3a + 8
e. 8a + 16 which simplifies 8(a + 2)
f. 32w + 16 which simplifies 16(2w + 1)
