What is the rate of discount if a pair of shoes is regularly $145.00 and the sales price is $108.75?

25%

Step-by-step explanation:

You set up the proportion 108.75/145 is x/100 to find out what percentage of 145 108.75 is. You can then use this proportion to find that percentage with cross multiplying, by doing this you get the equation 108.75 times 100 is equal to 145x. Then you simplify to get 10,875=145x. Then you solve like regular by dividing both sides by 145 to get x=75. Now we know that 108.75 is 75% of 145, but we aren't done yet. Now in order to find the discount price you subtract 75 from 100 to get 25, so you're finding the difference between 100 and the x-value we just found. The final answer is 25%

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)

it's equivalent, so we can say that its equal.

let's call the denominator x and the numerador is 18 less then denominator, x - 18.

multiply

2.x = 5.(x - 18)

2x = 5x - 90

90 = 5x - 2x

90 = 3x

x = 90/3

x = 30

so: