Luis wants to buy a skateboard that usually sells for 79.99. all merchandise is discounted by 12% . what is the total cost of the skateboard if luis has to play a state sales of 6.75%?

Ok so first, the skateboard costs $79.99. The skateboard costs 12% less with discount now so you have to pay 12% less.

You start by finding 12% of 79.99. This can be easily done by hand or with a calculator. Do 0.12 times 79.99. The answer is 9.5988. Since its 12% less we now subtract $9.5988 from $79.99. We get $70.3912. So this is the discounted price.

Now for the state sales tax. The sales tax is 6.75% which is equal to 0.0675. Like we did before, we multiplied .0675 by the value we wanted this percent of. But we can do a short way instead. Instead of getting 6.75% of $70.3912 and then adding it back to $70.3912, we can multiply $70.3912  by 1.0675 and this will do all the work for us.

So now, do $70.3912  times 1.0675 and you will have the answer. The answer is $75.142606, but wait, now we will round this to hundredths place as cents place ends their, and so the final answer will be $75.14.

5 cm

step-by-step explanation:

the triangles are similar. therefore the corresponding sides are in proportion:

              cross multiply

            divide both sides by 32