What is the original price when the discount is 25% and the sale price is $40

the original price was $53.33

Step-by-step explanation:

$x ---- 100%

$40 ------- 75% (this is because 25% of it's just 75% of the actual price)

Work Shown:

x = original price

25% = 25/100 = 0.25

25% of x = 0.25x = discount, or amount saved

final price = (original price) - (discount)

final price = (x) - (0.25x)

final price = 0.75x

0.75x = 40

x = 40/0.75

x = 53.333333

x = 53.33

The original price is $53.33

The discount, or amount saved, is 0.25*x = 0.25*53.33 = 13.3325 = 13.33 dollars.

This means the sale price is 53.33 - 13.33 = 40

We can also see this through computing 0.75*x = 0.75*53.33 = 39.9975 = 40, which matches with the given sale price.

Note how I'm rounding to the nearest penny when needed.

child does not get an education so she can use the molla on junk

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!