Asmall beaker is 1/3 filled with salt water. another beaker, which has five times the capacity of the small beaker, is 1/4 filled with fresh water. after dumping all of the salt water from the small beaker into the large beaker, to what fraction of its capacity will the large beaker be filled? a. 7/12b. 7/24c. 17/24d. 17/60e. 19/60

The large beaker is 19/60 filled with mixed of salt and fresh water ⇒ E

Step-by-step explanation:

* Lets explain the information to solve the problem

- A small beaker is 1/3 filled with salt water

- A large beaker has five times the capacity of the small beaker

- The large beaker is 1/4 filled with fresh water

- All of the salt water is dumping from the small beaker into the

 large beaker

- We need to find to what fraction of its capacity the large beaker

 will be filled

* At first lets find the the small beaker is how many times the

 large beaker

∵ The capacity of large beaker is 5 times the capacity of the

   small beaker

∴ The capacity of the small beaker = 1/5 the capacity of the

   large beaker

- Now lets calculate the fraction of the quantity of salt water in

 the large beaker

∵ The small beaker is 1/3 filled with salt water

∴ The fraction of the salt water in the large beaker = 1/3 × 1/5 = 1/15

- Lets add the quantities of the salt water and the fresh water

∵ The large beaker is 1/4 filled with fresh water

∴ The the fraction of the two quantities =

∵ The lowest common factor of 4 and 15 is 60

∴

∴ =

∴ The large beaker is 19/60 filled with mixed of salt and fresh water

36 girls

step-by-step explanation:

the 48 boys is 4 parts of the ratio

divide 48 by 4 to obtain one part of the ratio

= 12 ← 1 part of the ratio

3 parts = 3 × 12 = 36 ← number of girls

step-by-step explanation: the declaration of the rights of man and of the citizen (french: déclaration des droits de l'homme et du citoyen de 1789), set by france's national constituent assembly in 1789, is a human civil rights document from the french revolution.[1]

the declaration was drafted by the abbé sieyès and the marquis de lafayette, in consultation with thomas jefferson.[2] influenced by the doctrine of "natural right", the rights of man are held to be universal: valid at all times and in every place, pertaining to human nature itself. it became the basis for a nation of free individuals protected equally by the law. it is included in the beginning of the constitutions of both the fourth french republic (1946) and fifth republic (1958) and is still current. inspired by the enlightenment philosophers, the declaration was a core statement of the values of the french revolution and had a major impact on the development of freedom and democracy in europe and worldwide.[3]

the 1789 declaration, together with the 1215 magna carta, the 1689 english bill of rights (1689), the 1776 united states declaration of independence, and the 1789 united states bill of rights, inspired in large part the 1948 united nations universal declaration of human rights