Answer:
A: (2, 11).
Step-by-step explanation:
For an ordered pair to be a solution of an equation, the ordered pair must "fit".
A: (2, 11).
11 = 3(2) + 5
11 = 6 + 5
11 = 11
So, (2, 11) is a solution.
B: (3, 13).
13 = 3(3) + 5
13 = 9 + 5
13 = 14
Since 13 is not the same thing as 14, (3, 13) is not a solution.
Since A works but B doesn't, choices C and D are both eliminated. A is your answer.
Hope this helps!
Answer:
460 ft^2 of carpet will be replaced
Step-by-step explanation:
You need to find the area of the room and then take away the area of the six bookcases
<u>Area of the room</u>
20*20=400ft^2
35-20=15ft
(15*20)/2=150ft^2
400+150=550ft^2 total room area
<u>Area of bookcases</u>
2.5*6*6=90ft^2 total bookcase area
<u>room area - bookcase area = carpet area</u>
550-90=460ft^2
Ok so this all about subtracting fractions this is what you want to do:
you can change 8 3/4 and 4 2/3 to have the same value and deominator
8 3/4 = 8 9/12(multiply both sides by 3)
4 2/3 = 4 8/12(multiply both sides by 4)
you do this because 12 is divisible by 3 and 4
then, subtract 4 8/12 from 8 9/12 because John is using some of the wood his dad gave him.
then subtract once again, taking 11/2 away from your difference.
again match the deominator of 11/2 to the deominator of your difference which should be 12. another divisible of 12 is 2 and 6.
11/2 = 66/12 = 5 6/12(multiply both the top and bottom by 6)
and start subtracting.
so John should have -1 5/12(?) wood left