An art teacher had 2/3 gallon of paint to pour into containers .If he poured 1/8 gallon of paint into each container until he ran out of paint how many containers can he fill

An art teacher had 2/3 gallon of paint to pour into containers .If he poured 1/8 gallon of paint into each container until he ran out of paint how many containers can he fill.

5/8 is less than 2/3, and 6/8 (3/4) is more than 2/3. So, it would take 5 cans at 1/8 gal per can. Therefore, 6 cans.

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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).