Apiece of paper measures 8.5 inches by 11 inches. mrs. wickowitz wants to hang paper on a bulletin board that has a height of 24 inches and an area of 1,728 square inches. which inequality best represents the possible whole numbers of papers, p, that mrs. wickowitz could hang?

a. p ≤ 12

b. p ≤ 16

c. p ≤ 18

d. p ≤ 24

answer ! !

  D.  p ≤ 24

Step-by-step explanation:

The area of a piece of paper is 8.5·11 = 93.5 square inches, so the area of the bulletin board is that of ...

  1728/93.5 ≈ 18.48

pieces of paper.

The solution is a number greater than 18, so selection D is the only viable choice.

___

The bulletin board is 24 inches high and 1728/24 = 72 inches wide. If Mrs. Wickowitz hangs the papers "sideways", then 3 of them will cover 25.5 inches vertically, and 7 of them will cover 77 inches horizontally. That's 3·7 = 21 whole sheets of paper. That, too, matches selection D.

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!

for this case we must apply distributive property to the following expression:

the distributive property states that:

then, when applying the property we have to multiply the -2 for each term within the parenthesis: