Bella spent 4/7 of her money on a dictionary and 3 identical books. She spent 1/6 of the remainder on a journal that cost $7. a) How much did she spend on the dictionary and 3 books? b) If 3/8 of the cost of the dictionary was the same as 1/2 of the total cost of 3 books, how much did each book cost?

a) 9.33$

b) 1.33$

Step-by-step explanation:

a)

To solve the problem, let's call

= the money that Bella has at the beginning

the price of a dictionary

the price of one book

the price of the journal

Here, Bella spent 4/7 of her money to buy a dictionary and 3 books, so

(1)

Then she spent 1/6 of the remainder (which is ) to buy the journal so

(2)

So from this second equation we can find m, the money that she has at the beginning:

So the amount that she spent for the dictionary + the 3 books is

b)

Here, we are told that

3/8 of the cost of the dictionary was the same as 1/2 of the total cost of 3 books

Which can be rewritten as an equation as follows:

This means that we can rewrite the cost of the dictionary by re-arranging this equation as:

Substituting into eq.(1) of part a),

And from this, we can find b, the cost of each book:

answer: bea's uncle is 25 years old.

step-by-step explanation:

given the equation , we can say that the variable "x" represents the age of bea's uncle. then to find his age, we need to solve for "x":

we must add 15 to both sides of the equation:

now we need to divide both sides of the equation by 3:

therefore, we can conclude that bea's uncle is 25 years old.

first, you divide the triangle in two, tô form a retangle triangle. after, using pythagoream theorem:

18^2 = 14^2 + (x/2)^2

(x^2/4) + 196 = 324

x^2/4 = 324 - 196

x^2/4 = 128

x^2 = 512

x = √512

x = √2^9

x = 16√2 cm

i hope i you.