A restaurant manager states the number of customers that enter the restaurant is equal to 5 times the number of people that buy a hotdog from the hotdog cart plus 8. The manager also states that the number of customers that enter their restaurant is equal to 2 times
the number of people that buy a hotdog from the hotdog cart plus 30. What number of people buying a hotdog from the hotdog cart
across the street makes the equation 52 - 8 = 2x + 30 true? Round your answer to the nearest whole number.

The hypotenuse of an isosceles right triangle is $14\sqrt 2$. what is the area of the triangle?

4. a spring scale is constructed so that each 0.10-n increment is separated by 0.50 cm. what spring constant is necessary for the scale to be accurate? -1.0n/cm -0.10n/cm -9.8 n/cm -0.20n/cm

You drop a rubber ball off the roof of a 50 meter high building onto a paved parking lot. it bounces back up with every bounce, but not quite all the way back up to you. after the first bounce it bounces back only 80 percent of the distance it was dropped from. the pattern continues, meaning after every bounce it comes up to just 80 percent of the previous maximum height. so if before the first bounce the height is 50 meters, what height does the ball reach after the fifth bounce? round your answer to one decimal place and chose the correct response from the choices below: