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storchak [24]
3 years ago
5

72÷((6-10)× 3 to the second power)+14-9

Mathematics
1 answer:
atroni [7]3 years ago
5 0
72/((6-10)*3^2)+14-9
72/(-4*9)+14-9
72/(-36)+14-9
-2+14-9
12-9
3

Final answer: 3
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A linear pair of<br> angles have<br> measures of 3m - 6<br> and 3m + 18. What<br> is the value of m?
timama [110]

Answer:

the value of m = 28°

Step-by-step explanation:

the sum of adjacent angles which form linear pair is 180°

so,

=》3m - 6° + 3m + 18° = 180°

=》6m + 12° = 180°

=》6m = 180° - 12°

=》m = 168° ÷ 6

=》m = 28°

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Jamie recently drove to visit her parents who live 510 miles away. On her way there her average speed was 25 miles per hour fast
tino4ka555 [31]

Answer:

       Average speed in mph with which he goes to parent's place = 75 mph

       Average speed with he comes back = 50 mph

Explanation:

  Distance between Jamie's house and parent's house = 510 miles.

  Let u be the average speed in mph with which he goes to their place.

  We have the average speed of coming back = (u -25) mph

  Total time of journey considering both ways = 17 hours.

  Time taken to go their home = 510/u hours

  Time taken for coming back = 510/(u-25) hours

  So total time = \frac{510}{u} +\frac{510}{u-25}

 Equating both times we have

       \frac{510}{u} +\frac{510}{u-25}=17\\ \\ 510u-12750+510u=17u^2-425u\\ \\ 17u^2-1445u+12750=0\\ \\ u^2-85u+750=0\\ \\ (u-75)(u-10)=0

  u = 75 mph or u =10 mph

If the average speed in mph with which he goes to their place = 75 mph, average speed with he comes back = 75-25 = 50 mph

If the average speed in mph with which he goes to their place = 75 mph, average speed with he comes back = 10-25 = -15 mph(Not possible)

So,  Average speed in mph with which he goes to parent's place = 75 mph

       Average speed with he comes back = 50 mph

5 0
2 years ago
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