28 girls and 32 boys volunteer to plant trees at a school. the principal divides the girls and boys into identical groups that have girls and boys in each group. what is the greatest number of groups the principal can make?

4

Step-by-step explanation:

We are given that 28 girls and 32 boys volunteer to plant at a school.

The principle divided the girls and boys into identical groups that have girls and boys in each group.

We have to find that how much the principle can make greatest number of groups.

We will find HCF of 28 and 32

Highest common factor of 28 and 32 =

Therefore, the principle can makes 4 groups with 7 girls and 8 boys.

Hence,the greatest number of groups is 4 can made by principle.

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.