Carlos pays for dinner with a friend. he uses a coupon for $5 off the price of dinner, before taxes are applied. the tax rate is 8%. the total cost for dinner after the coupon and taxes is $30.78. what is the original price of dinner before the coupon and taxes.

Now after the coupon of $5.00 and after paying the taxes at the rate of 8%. He paid $30.78 for the dinner.

So, lets say the actual price of the dinner was 'x' dollars.

Now, 8% of x dollars can be written as,

, this is the amount he needs to pay in addition to the original price (since it is taxation on the actual price).

And he got off of $5.00 from the coupon.

So after all the deductions and payment of tax, he paid $30.78, which can also be written as:

Solving for 'x' we get:

Therefore, the actual cost of the dinner is $33.13.

answer:   segregation violated the equal protection clause of the 14th amendment, which holds that no state can “deny to any person within its jurisdiction the equal protection of the laws.”

details/explanation:

brown v. board of education of topeka, decided by the us supreme court in 1954, ruled that all americans are entitled to the same civil liberties and protections in regard to access to education. until that decision, it was legal to segregate schools according to race, so that black students could not attend the same schools as white students.   an older supreme court decision, plessy v. ferguson (1896), had said that separate, segregated public facilities were acceptable as long as the facilities offered were equal in quality.   in the case of brown v. board of education, that standard was challenged and defeated.   segregation was shown to create inequality, and the supreme court unanimously ruled segregation to be unconstitutional.

the ruling was important in advancing civil rights because it affirmed that the 14th amendment applies to all rights and privileges of citizens, including access to   education.   this was being violated by states whose laws supported the segregation of schools.   section 1 of the 14th amendment reads as follows: