Answer:
Y
=
−
3
x
+
5 5
x
−
5
y
=
-
3
Step-by-step explanation:
the question is already substituted
Answer:
The sales tax is determined by computing a percent of the purchase price. To find the sales tax multiply the purchase price by the sales tax rate. Remember to convert the sales tax rate from a percent to a decimal number. Once the sales tax is calculated, it is added to the purchase price.
Wording is everything. Here, there are some issues. "... at the rate of 1/2 per month" can be interpreted to mean that at the end of the first month, there are 649 1/2 items in Marie's closet (decreased by 1/2 from 650).
"The number of items Dustin adds" could mean 5 items, the number he adds each month. The wording should specify the time period or whether we're talking about the total number Dustin has added.
We assume your description means that the number of items in Marie's closet at the end of each month is 1/2 what it was at the beginning. (As opposed to decreasing by 1/2 item each month.) We assume we're interested in the total number of items of Dustin's that are in the closet.
Marie's quantity can be modeled by ...
... m = 650·(1/2)^t . . . . . t = time in months
Dustin's quantity can be modeled by ...
... d = 5t
There will be one solution for d=m, at about t = 4.8. At that point, Dustin will have added about 24 items, which will be the number Marie is down to.
There is a viable solution for d=m at about t = 4.8.
Let the number be represented by x
2x=60+ 5x -20*2=60+5*-20
2x-5x=5x-5x+60 -40=60+-100
-3x=60 -40=-40
-3x/-3=60/-3
x=-20
Therefore the number is -20
We know that the won 3/4. So that means that the remaining 1/4 is the games lost, which is 21.
To find the total games played, we simply multiply 21 by 4 to get 4/4, or the total games.