Emily baked 3 batches of 13 sugar cookies each. She ate 2 of the cookies and gave 10 of them to her neighbor. In return, her neighbor gave her half of a batch of a dozen chocolate chip cookies. How many cookies does Emily have? cookies

Emily have 33 cookies.

Step-by-step explanation:

Given that:

Batches of cookies baked = 3

Number of cookies in each batch = 13

Total number of cookies = 3 * 13 = 39 cookies

She ate 2 cookies.

Remaining = 39 - 2 = 37 cookies

She gave 10 to her neighbor

Remaining = 37 - 10 = 27 cookies

1 batch = dozen cookies

half batch = 6 cookies

Total cookies = 27 + 6 = 33 cookies

Hence,

Emily have 33 cookies.

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

the answer is 13

step-by-step explanation:

5*5=25

12*12=144

25+144=169

169^2=13