Four rulers and three pencils cost £2.15 Three rulers and four pencils cost £2.05 Work out the cost lf a ruler and the cost of a pencil

The cost of 1 ruler and 1 pencil are $0.35 and $0.25 respectively,

Step-by-step explanation:

Let the cost of 1 ruler be x

Let the cost of 1 pencil be y

Cost of 4 rulers = 4x

Cost of 3 rulers = 3x

Cost of 3 pencils = 3y

Cost of 4 pencils = 4y

We are given that Four rulers and three pencils cost £2.15

4x+3y=2.15 ---- Black line

We are also given that Three rulers and four pencils cost £2.05

3x+4y=2.05 --- Red line

Plot the lines on the graph

Point of Intersection of lines is (0.35,0.25)

Cost of a ruler = $0.35

Cost of a pencil = $0.25

Hence The cost of 1 ruler and 1 pencil are $0.35 and $0.25 respectively,

step-by-step explanation:

this woman was an important writer and propagandist during the american revolution. she was a member of the committee of correspondence (in fact the committee was formed in her home) and was an advisor to many of the revolutionary leaders, including george washington and john adams. who was this revolutionary woman?

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.