Camryn practices the trumpet every 11th day and the flute every 3rd day. camryn practies both the trumpet and the flute today. how many days until camryn practices the trumpet and flute again in the same day?

We have been given that Camryn practices the trumpet every 11th day and the flute every 3rd day. Camryn practices both the trumpet and the flute today.

To find when Camryn will practice both trumpet and flute again, we will find LCM of both numbers.

Multiples of 11 are: 11, 22, 33, 44,..              

Multiples of 3 are: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39,...

We can see that LCM of 11 and 3 is 33, therefore, Camryn will practice the trumpet and flute again on 33rd day.            

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

answer: the distance

step-by-step explanation:

to calculate the distance d of a line segment with endpoints (x1, y1) and (x2, y2) use the formula d (x2 x1)2 (y2 y1)2. to calculate the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) use the formula