Which statement about the stamps is correct? Karl has stamps in his desk drawer. The possible

combinations of stamps are shown below.

Karl's Stamp Collection

The total number of stamps is 25.

The total value of the stamps is $18.75.

The total number of stamps is 35.

The total value of the stamps is $19.15.

Number of

Number of

45-cent stamps 65-cent stamps

18

17

2015

22

13

10

25

C.) The total number of stamps is 35.

Step-by-step explanation:

Given the table :

No of 45-cent stamp - - - No of 65-cent stamp

- - - - - - - 18 - - - - - - - - - - - - - - 17

- - - - - - - 20 - - - - - - - - - - - - - - - 15

- - - - - - 22 - - - - - - - - - - - - - - 13

- - - - - - 10 - - - - - - - - - - - - - - - - 25

Verifying each option stated :

Total value of stamp:

Each row add up to 35. Example (18 + 17) = 35

(20 + 15) = 35

(22 + 13) =35

(10 + 25) = 35

Total value of stamp:

Using the first row:

45 cent = $0.45 ; 65 cent = $0.65

(10 * 0.45) + (25 * 0.65)

= $4.5 + $16.25 = $20.75

Not all rows add up to $19.15

it is x=-4

step-by-step explanation:

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!