Dimtry bought a pair of pants at the discounted price of $30. the original price of the pants was $40. what was the percent of the discount? explain to me how you got your answer

25%

Step-by-step explanation:

Say we start from the beginning with $40. If the pants are discounted but we don't know the percent discount, then we need a variable, x:

40 - x% * 40 = 30

The total is 40. When we take a discount off of 40, we are taking a percent of 40 and subtracting that from 40. From the problem, this should be 30. Thus, the equation above.

Add x%*40 to both sides and subtract 30 from both sides:

x%*40 = 10

Divide by 40:

x% = 1/4 = 0.25

Multiply each side by 100:

x = 25

The answer is 25%.

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true