Una persona sale de compras, gasta 3/7 de su dinero en el supermercado, despues 1/2 de lo que queda en regalos, y finalmente 1/2 de lo que queda en una libreria. Si le quedan 12 dolares, ¿ cuanto dinero tenia ?

112 dollars

Step-by-step explanation:

The best in this type of problem is to start from what we have, that is 12 dollars.

He had 12 dollars left after spending 1/2 in the bookstore, so before that would be 12 / (1/2) = 24 dollars.

Before that he spent 1/2 on gifts, then it would be 24 / (1/2) = 48 dollars he had before buying the gifts.

The first thing he did was spend his money in the supermarket therefore, it would be 48 / (3/7) = 112 dollars, that means that at the beginning he had 112 dollars.

We checked: at the supermarket 112 * (3/7) = 48 dollars

in gifts 48 * (1/2) = 24 dollars

and in the library 24 * (1/2) = 12 dollars

the equation cos(35) =a/25 can be used to find the length of bc what is the length of bc? round to the nearest tenth

step-by-step explanation:

a. 32 degrees

step-by-step explanation:

here we have to use the rule.

m∠e = 1/2 (major arc - minor arc)

m∠e = 1/2 (212 - 148)

m∠e = 1/2 (64)

m∠e = 32 degrees

answer: a. 32 degrees

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