from the numerator and denominator of fraction 17/21, the same number is subtracted and the resulting fraction is 1/3 .What is the number?

15

Step-by-step explanation:

Let the number that is subtracted = x.

Setting up the equation, we get:

(17-x)/(21-x) = 1/3

We can cross multiply:

3(17-x) = 21-x

Distribute the 3:

51 - 3x = 21 - x

2x = 30

x = 15

The answer = 15. 17 - 15 = 2. 21 - 15 = 6. 2/6 = 1/3

the equation cos(35) =a/25 can be used to find the length of bc what is the length of bc? round to the nearest tenth

step-by-step explanation:

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is