Answer:
1)The dimensions you are solving for
length of the rectangular room
width of the rectangular room
2)Now let the length be L and the width be w then
the perimeter is 2L+2W
2L+ 2W = 24------------------------------(1)
Also, "Twice the length decreased by three times the width is 4 feet" can be written as
2L - 3W = 4-------------------------------------(2)
Solving (1) and (2) by elimination method, by subtraction
2L+ 2W = 24
2L - 3W = 4
(-) (-) (-)
----------------------------
0L +5W = 20
-----------------------------
5W = 20
W = 4--------------------------------------------(3)
Now by substitution method,substituting (3) in(1)
2L+ 2(4) = 24
2L + 8 = 24
2L = 24 -8
2L = 16
L = 8
Substituting in the original equation and rechecking the perimeter
=2(8) + 2(4)
=16 + 8
= 24
Thus the found dimensions are correct
3)The length of the room is 8 feet and the width of the room is 4 feet.
(y^2-y-12)/(y^2-2y-15) factor both the numerator and denominator...
(y^2-4y+3y-12)/(y^2-5y+3y-15)
(y(y-4)+3(y-4))/(y(y-5)+3(y-5))
((y-4)(y+3))/((y-5)(y+3)) so the (y+3) terms cancel leaving
(y-4)/(y-5)
Answer:
Jesse makes 290 points in the season
Step-by-step explanation:
I did 144+150 and that equals 290
Answer: The ratio of the total cost of the party in 2007 to the total cost of the party in 2008 = 1: 4
Step-by-step explanation:
It is given that Kyle's birthday party in 2007 cost $d$ dollars per person and $p$ people attended.
Then , the total cost of the party = Cost per person x Number of people attended.
For 2007, Total cost = d x p = dp (1)
In 2008, the cost per person doubled and the number of people attending the party also doubled.
i.e. Cost per person = 2d
Number of people attended = 2p
For 2008, Total cost = 2d x 2p = 4dp (2)
From (1) and (2) , the ratio of the total cost of the party in 2007 to the total cost of the party in 2008 will be :
Cancel pd from the numerator and the denominator , we get
Hence, the ratio of the total cost of the party in 2007 to the total cost of the party in 2008 = 1: 4