One positive number is 5 less than twice a second number, and their product is 140. find the two numbers.

x, y - two positive numbers

one positive number is 5 less than twice a second number

(1)        x = 2y - 5

their product is 140

(2)    xy = 140

substitute from (1) to (2)

(2y - 5)y = 140      use distributive property

(2y)(y) - (5)(y) = 140

2y² - 5y = 140       subtract 140 from both sides

2y² - 5y - 140 = 0

use quadratic formula

a = 2, b = -5, c = -140

b² - 4ac = (-5)² - 4(2)(-140) = 25 + 1120 = 1145

substitute the value of y₁ to (1)

costs the what? what is the cost of the pants?

step-by-step explanation:

if it is $10, then the price is 14.

take 40% of the cost, and then add the cost.

40% of 10 = 4

4+10 = 14.

explanation:

previous steps have made pa≅ pb ≅ st ≅ su. setting the compass width to ab allows you to make tu the same length. then δstu ≅ δpab by the sss congruence postulate, and ∠p ≅ ∠s by the reason cpctc.