All my pointshurry mr. flanders’ class sold doughnuts for $1.35 each and mr. rodriquez’s class sold cartons of milk for $1.08 each together the classes sold 85 items and earned $104.49 for their school. how many of each item did the classes sell? a define the variables in this situation b write a system of equations that model the problem c use the linear combination method to find the solution to the solution to the system you wrote in part b show all your work d using a complete sentence explain what the solution found in part c represents

A. 'x' be the number of doughnuts sold and 'y' be the number of cartoons of milk sold.

B.

C. x=47 and y=38

D. The number of doughnuts sold x= 47 and the number of cartoons of milk sold= 38.

Step-by-step explanation:

A. Since there are only two quantities i.e. doughnuts and cartons of milk.

So let 'x' be the number of doughnuts sold and 'y' be the number of cartoons of milk sold.

B. The total number of items sold =

The total amount they earned=

∴ The system of equations that model the problem will be

.........(1)

.............(2)

C. To apply linear combination method multiply eqn(1) by 1.5 we get

....(3)

Now subtract eq(2) from eqn(3), we get

From (1), we get x=85-38=47

D. From C part the number of doughnuts sold x= 47 and the number of cartoons of milk sold= 38.

let's add {f(x)=x+1}f(x)=x+1 and {g(x)=2x}g(x)=2x together to make a new function.

f(x)+g(x) =(x+1)+(2x)=x+1+2x=3x+1

let's call this new function hh. so we have:

{h(x)}={f(x)}+{g(x)}{=3x+1}h(x)=f(x)+g(x)=3x+1

we can also evaluate combined functions for particular inputs. let's evaluate function hh above for x=2x=2. below are two ways of doing this.

method 1: substitute x=2x=2 into the combined function hh.

h(x)

h(2)

​    

=3x+1

=3(2)+1

=7

​ since h(x)=f(x)+g(x)h(x)=f(x)+g(x), we can also find h(2)h(2) by finding f(2) +g(2)f(2)+g(2).

first, let's find f(2)f(2):

f(x)

f(2)

​    

=x+1

=2+1

=3

​  

now, let's find g(2)g(2):

g(x)

g(2)

​    

=2x

=2⋅2

=4

​  

so f(2)+g(2)=3+4=\greend7f(2)+g(2)=3+4=7.

notice that substituting x =2x=2 directly into function hh and finding f(2) + g(2)f(2)+g(2) gave us the same answer!

none.

step-by-step explanation:

m

1

=

5

m1=5

b

=

−

1

b=-1

find the slope and y-intercept of the second equation.

tap for more

m

2

=

0

m2=0

b

=

−

6

b=-6

compare the slopes

m

m of the two equations.

m

1

=

5

,

m

2

=

0

m1=5,m2=0

compare the two slopes in the decimal form. if the slopes are equal, then the lines are parallel. if the slopes are not equal, then the lines are not parallel.

m

1

=

5

,

m

2

=

0

m1=5,m2=0