Sarah wants to buy a snowboard that has a total cost of $600, including tax. She has already saved $100 for it. At the end of each week, she is paid $160 for babysitting and is going to save half of that for the snowboard. A) Write an inequality that can be used to determine the minimum number of weeks Sarah needs to babysit to have enough money to purchase the snowboard. B) Determine and state the minimum number of full weeks Sarah needs to babysit to have enough money to purchase this snowboard.

I think that she would need to get paid 160 weeks in order to purchase the snowboard.

900 degrees

step-by-step explanation:

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4