Manjeet made a pizza for his family using their four favorite toppings - pepperoni, mushrooms, onions and olives. he put twice as many onions as pepperoni and half as many mushrooms as olives. if there are 39 individual toppings on the pizza how many of each topping did he use? how many different combinations can you come up with?

Let

x = the number of pepperoni added to the pizza.

y = the number of mushrooms added to the pizza.

z = the number of onions added to the pizza.

u = the number of olives added to the pizza.

Twice as many onions as pepperoni

z = 2*x

Half as many mushrooms as olives

y = u/2

There are 39 individual toppings on the pizza

x + y + z + u = 39

We are dealing with a system of equation with 4 unknowns and only three equations.

2*x - z = 0

y  - u/2 = 0

x + y + z + u = 39

This means that there are an infinite number of solutions for your problem

For example, here is one solution

x = 1

z = 2

1 + y + 2 + (2y) = 39

3y = 36

y = 12

u = 24

answer: on kudzu, being female and being green are independent events.

step-by-step explanation:

the correct answer is a) "catholic church".

the proposals that liberals in mexico made during 1855 were particularly focused on a person's individual rights, such as the freedom of speech, the freedom of conscience, freedom of assembly, and the right to possess weapons.

when the constitution was formally published 2 years later (1857). it also contained an article which permitted education free from any religious influence, the removal of the catholic church institutional privileges, and the sale of property belonging to the church. all of these provisions were clearly against the catholic church interests.