Fred buys a binder for $4.50 and six reams of paper. latasha buys an ink cartridge for $17.50 and four reams of paper. both spend the same amount of money. what is the price of one ream of paper?

The the price of one ream of paper is $6.5.

Step-by-step explanation:

Here, Let us assume the cost of one ream of paper  = $  m

The money spent by Fred:

The money spent on a  binder  = $4.50

The money spent on 6 ream of papers  =  6 x ( cost of 1 ream )

= 6 x ($m) = 6 m

⇒The total money Fred spent  = Money spent on (binder + 6 ream of papers)  

= 4.50 + 6 m   (1)

The money spent by Latasha:

The money spent on a cartridge = $17.50

The money spent on 4 ream of papers  =  4 x ( cost of 1 ream )

= 4 x ($m) = 4 m

⇒The total money Latasha spent  = Money spent on (cartridge + 4 ream of papers)  

= 17 .50 + 4 m   (2)

Also, Both spend the same amount of money

⇒4.50 + 6 m = 17 .50 + 4 m   ( from (1) and (2))

or, 6 m - 4  m= 17. 50 - 4, 50

or, 2 m =  13

or, m = 13/ 2  = 6.5

So, the value of m = $6.5

Hence, the the price of one ream of paper is $6.5.

a.   we have two

lines:   y = 4-x   and  

y = 8-x^-1

given two simultaneous equations that are both to be

true, then the solution is the points where the lines cross. the intersection is

where the two equations are equal. therefore the solution that works for both

equations is when

4-x = 8-x^-1

this is where the two lines will cross and that is the

common point that satisfies both equations.

b.   4-x = 8-x^-1

  x           4-x       8-x^-1

-3           7        

8.33

-2           6         8.5

-1           5         9

  0           4        

-

  1           3        

7

  2           2        

7.5

  3           1         7.67

the table shows that none of the x values from -3 to 3 is

the solution because in no case does

4-x = 8-x^-1

to find the solution we need to rearrange the equation to

find for x:

4-x = 8-x^-1

multiply both sides with x:

4x-x^2 = 8x-1

x^2+4x-1=0

x= -4.236, 0.236

therefore there are two points that satisfies the

equation.

find y:  

x=-4.236

y = 4-x   = 4 – (-4.236)

= 8.236

y = 8-x^-1 =   .236)^-1

= 8.236

x=0.236

  y = 4-x   = 4 – (0.236) = 3.764

y = 8-x^-1 =   8-(0.236)^-1

= 3.764

thus the two lines cross at 2 points:

(-4.236, 8.236) & (0.236, 3.764)

c.   to solve

graphically the equation 4-x = 8-x^-1

we would graph both lines: y = 4-x   and   y

= 8-x^-1

the point on the graph where the lines cross is the

solution to the system of equations.

just graph the points on part b on a cartesian coordinate

system and extend the two lines.   the

solution is, as stated, the point where the two lines cross on the graph.

step-by-step explanation:

mark brainliest!

segment bisector

step-by-step explanation:

line segment bisector. definition: a line, ray or segment which cuts another line segment into two equal parts. try this drag one of the orange dots at a or b and note the the line ab always divides the line pq into two equal parts.

mark brainliest!