A pencil company used 49 grams of rubber to make 7 pencils, which is a rate of grams per pencil?

7 grams per pencil

Step-by-step explanation:

49 grams/7 pencils

divided both parts of the fraction by 7 to simplify to the number of grams for just one pencil so you end up with:

7 grams/1 pencil

the first one, all those points on the line just make a strait line.

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).