The cost of 3 notebooks and 2 pens is $10.45. the cost of 4 notebooks and 6 pens is $17.60.
part a - what is the cost of each item?
part b - miles needs to purchase some new school supplies. for each notebook he buys he will buy 3 pens. how many notebooks can he purchase if he has $22.

Notebooks cost $2.75 and pens cost $1.10.

He can also buy 3 notebooks.

Step-by-step explanation:

In order to find this, we need to create two equations given each of the situations.

3n + 2p = 10.45

4n + 6p = 17.60

Now to solve for n, multiply the top equation by -3 and add together.

-9n - 6p = -31.35

4n + 6p = 17.60

-5n = -13.75

n = 2.75

Now that we have the value of notebooks, we can find the amount for pens using either equation.

3n + 2p = 10.45

3(2.75) + 2p = 10.45

8.25 + 2p = 10.45

2p = 2.20

p = 1.10

Finally, to find the number of notebooks that he can purchase, find the cost of a notebook with 3 pens.

n + 3p

2.75 + 3(1.10)

2.75 + 3.30

6.05

Now divide 22 by that number

22/6.05 = 3.63

Since we can't have fractional notebooks, we round down to 3.

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be

answer:   b

step-by-step explanation:

x2 = 16

x can not be a negative number because 16 is positive

the only answer would be positive 8