<h2>
Answer with explanation:</h2>
The number of letters in word "ALGORITHM" = 9
The number of combinations to select r things from n things is given by :-

Now, the number of combinations to select 6 letters from 9 letters will be :-

Thus , the number of ways can six of the letters of the word ALGORITHM=84
The number of ways to arrange n things in a row :
So, the number of ways can the letters of the word ALGORITHM be arranged in a be seated together in the row :-

If GOR comes together, then we consider it as one letter, then the total number of letters will be = 1+6=7
Number of ways to arrange 9 letters if "GOR" comes together :-

Thus, the number of ways to arrange 9 letters if "GOR" comes together=5040
Answer:
15°
Step-by-step explanation:
Since P is on the median of ΔABC, it is equidistant from points B and C as well as from C and Q. Thus, points B, C, and Q all lie on a circle centered at P. (See the attached diagram.)
The base angles (B and C) of triangle ABC are (180° -30°)/2 = 75°. This means arc QC of the circle centered at P has measure 150°. The diameter of circle P that includes point Q is defined to intersect circle P at R.
Central angle RPC is the difference between arcs QR and QC, so is 180° -150° = 30°. Inscribed angle RQC has half that measure, so is 15°. Angle PQC has the same measure as angle RQC, so is 15°.
Angle PQC is 15°.
Answer:
Look at the place after the thousandths, it is less than 5.
0.8344
So don't add +1 to the thousandths place.
Rounded to the nearest thousandths would be:
<h2>0.834</h2>
Answer:
37
Step-by-step explanation:
59 percent times 63 in total marbles is 37
Answer:
$2.18
Step-by-step explanation:
since there are 4 quarts in a gallon then there are 2 in a half gallon and therefore if you divide by 2 that would be your price per quart.