We have been given that Sterre charges $35 to file tax returns, but files for free if she only needs the easiest form. Also, she donates $2 to clean water projects per tax return she files.

Further we know that Sterre charged $7,245 and made a donation of $1,242 this year for the tax returns she filed.

Let x be the number of free income tax returns and y be the number of $35 income tax returns.

Therefore, we can set up:

$0\times x+35\times y=7245\Rightarrow 35y=7245\Rightarrow y=\frac{7245}{35}=207$

Since she donates $2 for each return that she files, therefore, we can set up:

$2(x+y)=1242\Rightarrow x+y=621\Rightarrow x+207=621\Rightarrow x=414$

Therefore,

Sterre filed 414 tax returns for free and filed 207 tax returns for $35.

7 0

3 years ago

An artist wants to frame a square painting with an area of 400 square inches if x is the length of the one side of the painting

tatuchka [14]

There is only one solution to the equation. A quadratic equation has 2 solutions a positive and a negative, but since we are looking for length, the answer can only be postive. Area= side^2

400= x^2

sqrt(400)=x

20 inches = x

The length of one side is 20 inches

check: 20*20 = 400, which is the area of the square painting.

8 0

3 years ago

HELP BEEN HAVING A BAD DAY Find the slope of each line (each block is one unit):

olchik [2.2K]

Answer:

m = -2/3

Step-by-step explanation:

m = slope

$m = \frac{y2 - y1}{x2 - x1}$

m = -3 -1/ 3 - (-3)

m= -4/ 6

m= -2/3

3 0

3 years ago