Swamp gas consists primarily of methane, a chemical compound consisting of a 1 : 4 ratio of carbon to hydrogen atoms. if a sample of methane contains 1564 hydrogen atoms, how many carbon atoms are present in the sample?

Number of carbon atoms present in the sample are 391.

Step-by-step explanation:

We are given that,

Ratio of carbon to hydrogen atoms = 1 : 4

It is given that a sample of methane consists of 1564 hydrogen atoms.

Let the carbon atoms in the sample = x

So, we have the relation,

i.e.

i.e.

i.e. x= 391

Hence, the number of carbon atoms present in the sample are 391.

(d)

step-by-step explanation:

given: the line in the graph passes through points (5,30) and (6,26).

then, the equation of line is:

now, put y=a(n) and x=n,

hence, option d is correct.

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.