Keith had $10. When he bought 5 colored pencils and 3 notebooks at $1.50 per notebook,
the change was $2.
What is the price of 1 colored pencil?

The price of one colored pencil was $0.70

Step-by-step explanation:

Let p be the price of 1 colored pencil:

We know he bought 5 colored pencils and 3 notebooks and had 2 dollars left over, meaning he spent 8, so we can write out:

5p + 3(1.5) = 8

That becomes:

5p + 4.5 = 8

Isolate p by moving 4.5 to the right:

5p = 3.5

Divide by 5

p = 0.7

i believe the answer is the polygon, heptagon.

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).