Each morning a gardener uses 24 3/4 gallons of water from a barrel. each afternoon, she adds 15 1/4 gallons of water to the barrel. by how much has the volume of water in the barrel changed after 5 days ?

Step-by-step explanation:

Taking into consideration that no significant leakages occur from storage and the reserve is used only for agriculture then, the amount consumed will be equivalent to

For 5 days, the quantity reduces by 9.5*5=47.5 gallons

Therefore, the barrel would have changed by

introduction, methodology, results, discussion

step-by-step explanation:

an observational study is one which consists of actual observation to record data and then analyse the data.

there are a number of factors that should be analyzed before starting an observational study.

the main four factors are:

i) introduction:   this should be analysed to check whether the purpose of the study is correctly established and the data recorded are appropriate for the study

methodology:   the method of collecting the data, such as whether randomly selected, and whether sample size matches with the population to be studied, whether questions asked are easy to answer by common men, etc.

results: then results such as summary of data with comments should be studied thoroughly

discussion:   the last is the discussion, this can be either by management people or persons who are all interested , etc.

option (b) is correct

step-by-step explanation:

to find the solution of this system, we need to convert it into reduced row-echelon form. we have,

after applying row operations r2 -> r2/2 and r3 -> r3/3, we get,