Answer:
Step-by-step explanation:
<u>1- digit numbers: </u>
- 1 to 9, number of digits = 9
<u>2- digit numbers:</u>
- 10 to 99, number of digits = 2(99 - 9) = 180
<u>3- digit numbers:</u>
- 100 to 999, number of digits = 3(999 - 99) = 2700
This is more than we have, but we know the number of pages is 3-digit.
<u>Let it be x, then we have:</u>
- 9 + 180 + 3(x - 99) = 1074
- 3(x - 99) = 1074 - 189
- 3(x - 99) = 885
- x - 99 = 885/3
- x - 99 = 295
- x = 295 + 99
- x = 394
Answer:
2^4
Step-by-step explanation:
there are four 2's being multiplied to each other.
You can combine them and say 2 x 2 x 2 x 2 = 2 ^4
Should be 18x^4-12x.
Let me know if you want more of an explanation.
9514 1404 393
Answer:
9 ft, 22 ft, 23 ft
Step-by-step explanation:
Let s represent the length of the shortest side. Then the middle length side is (2s+4) and the longest side is (3s-4). The perimeter is the sum of the side lengths:
54 = s +(2s +4) +(3s -4)
54 = 6s . . . . . . . . . . . . . . collect terms
9 = s . . . . . . . . . . divide by 6
2s+4 = 2·9 +4 = 22
3s -4 = 3·9 -4 = 23
The lengths of the three sides are 9 feet, 22 feet, and 23 feet.