Answer:
1.associative property of addition
2.commutative property of addition
3.additive inverse
4.additive identity
Step-by-step explanation:
Answer:
Plates are 2.80 Dollars and cups are 1.40 dollars
Step-by-step explanation:
Cups = c
Plates = p
6p + 5c = 23.80 ==> multiply by 6 ==> 36p + 30c = 142.80
7p + 6c = 28.00 ==> multiply by 5 ==> 35p + 30c = 140.00
Now use algebra to have the 30c be on one side and the rest on the other:
36p + 30c = 142.80 | -36p
30c = 142.80 - 36p
35p + 30c = 140.00 | -35p
30c = 140.00 - 35p
Now set them equal to each other about the 30c:
142.80 - 36p = 140.00 - 35p
Use algebra to solve for p:
142.80 - 36p = 140.00 - 35p | +36p
142.80 = 140.00 + p | - 140
2.80 = p
Go back to one of the "30c" equations and plug in the value for p:
30c = 140 - 35p
30c = 140 - 35(2.80)
30c = 140 - 98
30c = 42 | /30
c = 42/30
c = 1.4
Let's factor x^2−22x+121
The middle number is -22 and the last number is 121. Factoring means we want something like
(x+_)(x+_)
Which numbers go in the blanks? We need two numbers that...
Add together to get -22
Multiply together to get 121
Can you think of the two numbers?
Try -11 and -11:
-11+-11 = -22
-11*-11 = 121
Fill in the blanks in
(x+_)(x+_)
with -11 and -11 to get...
(x-11)(x-11)
Answer: (x-11)(x-11)
Hope this helps!!!
Using P.E.M.D.A.S. ( parentheses exponent multiply divide add subtract ) you would multiply the nine into the parentheses
