Mike and alice recycled 147 bottles altogether. mike recycled 6 times as many bottles as alice. how many bottles did alive recycle

21

Step-by-step explanation:

We have an equation in the first sentence we are given.  Mike and Alice together recycled 147 bottles, so in equation form that looks like this:

M + A = 147.

That alone doesn't do us much good because we have 2 unknowns.  The next sentence gives us Mike's number of bottles based on Alice's.  If the number Mike recycles is 6 times as many as Alice, replace the word "is" with an "=" and "6 times as many as Alice" with 6A to get:

M = 6A

Now we can go back to the first equation and replace M with 6A:

6A + A = 147

Now we only have A's.  That's a good thing.  Solve for A:

7A = 147

A = 21

answer: i think it's a

step-by-step explanation:

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