Apositive number is 5 times less than another positive number. six times the lesser number plus 3 times the greater is 3. find the two positive numbers

One number is and the other number is

Step-by-step explanation:

Let x be the smaller number and y be the bigger number.

x = x

y = 5x

6x + 3y = 3

6x + (3 * 5x) = 3

6x + 15x = 3

(÷3)

2x + 5x = 1

7x = 1

x =

6x + 3y = 3

6() + 3y = 3

+ 3y = 3

3y = 3 -

3y =

Divide both sides by 3 to get 1y:

y =

So one number is and the other number is

a: 1/6, j: 1/4

step-by-step explanation: you are welcome

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).