1

Select the correct answer from each drop-down menu.

Sarah downloads movies from a website that charges a $10 membership fee plus $1 for every movie downloaded. Lisa downloads movies from a different website that charges a $5 fee per month and $2 for each movie downloaded. These equations represent this situation.

y = x + 10
y = 2x + 5

In the equations, which are drawn on the graph, x represents the number of movies downloaded and y represents the money spent.

Sarah and Lisa would spend an equal amount per month if they each downloaded 5615 movies. The amount they would each spend is $51015.

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4 puzzles in 3 hours

step-by-step explanation:

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.

mathpapa

step-by-step explanation:

1,407.5 hours

step-by-step explanation:

we first convert all the time to hours and then sum them up.

there are 24 hours in 1 day, in 58 days, there are 24 x 58 = 1,392 hours.

there are 60 minutes in 1 hour, thus, 30 minutes will be equivalent to 30 / 60 = 0.5 hours.

therefore, the number of hours it will take mercury to complete a full rotation is 1,392 + 15 + 0.5 = 1,407.5 hours