A town has two sneaker factories, Sneakerheadz and Nukicks. While Nukicks was closed on Sunday, Sneakerheadz made 900 pairs of shoes. On Monday, both Sneakerheadz and Nukicks made shoes for the same amount of time. Sneakerheadz made sneakers at a rate of 300 sneakers per hour and Nukicks at a rate of 480 sneakers per hour. Nukicks made the same number of pairs of shoes on Monday as Sneakerheadz did on both days. Write and solve an equation in one variable to find out how many hours the Sneaker factories operated on Monday

Show work

Step-by-step explanation:

let the number of hours be x

let the total snickers made be y

for the factory Sneakerheadz

they have 900 pairs on Monday, hence the total sneakers made is

y=600+300x1

for the factory Nukicks

they only make sneakers at the rate of 480 per hour

y=480x2

since they both have made the same amount of sneakers, we are going to equate 1 and 2to find x

600+300x=480x

300x-480x=-600

-180x=-600

180x=600

x=600/180

x=3.33hours

The Sneaker factories operated on Monday for 3.33 hours

parallel and congruent

step-by-step explanation:

the movement of translation is linear.   these have the same translation because you are using the same rule for each point of the triangle so you will see the same slope being used to get from a point on the triangle to its image.

same slope!   you should think parallel when you see those 2 word together (well unless it's the same line but it can't be because we are coming from different points here)

congruent! because each point is being moved the same distance.

this shows a reflection over the x-axis and is translated one unit down and 6 units to the right (x + 6, y - 1)

hope this !

~just a girl in love with shawn mendes