Three aluminum cans can be recycled to make a new can. how many new cans can eventually be made from 243 aluminum cans? (remember that the first new cans that are made can then be recycled into even newer cans! ) do not include the original 243 cans in your count.

121 new cans can eventually be made from 243 aluminum cans

Step-by-step explanation:

Unit rate defined as the rates are expressed as a quantity 1 such as 2 miles per second or 5 kilometer per hour.

As per the statement:

Three aluminum cans can be recycled to make a new can.

Unit rate per aluminium can = new can

We have to find the new cans can eventually be made from 243 aluminum cans.

By definition of unit rate;

Substitute the given values we have;

Again do the same process:

Number of new can made from 81 can  is

Similarly,

Number of new cans made from 27 can =

Number of new cans made from 9 can =

Number of new cans made from 3 can =  

Now, No further new can made.

Therefore, total new can made from 243 is 81+27+9+3+ 1 =121 cans

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq