Given:
five times a number = 5x
decreased by 8 = 5x - 8
is at most 10 = maximum is 10 so less than or equal to 10
more than twice the number = greater than 2x.
2x < 5x - 8 <u><</u> 10
5x - 8 <u><</u> 10
5x - 8 > 2x
****
5x - 8 <u><</u> 10 if x = 3.60 then 2x < 5x-8 <u>< </u>10
+ 8 +8 2(3.6) < 5(3.6) - 8 <u><</u> 10
5x <u><</u> 18 7.2 < 10 <u><</u> 10
÷5 ÷5
x <u><</u> 3.60
5x - 8 > 2x x > 2.67; if x = 3
+8 + 8 2x < 5x - 8 <u>< </u>10
5x > 2x + 8 2(3) < 5(3) - 8 <u>< </u>10
-2x -2x 6 < 7 <u>< </u>10
3x > 8
÷3 ÷3
x > 2.67
about the second one... well, is a "fait accompli" that using the pythagorean theorem, if x = 8 and y = 5, the hypotenuse must be √(8² + 5²) = √(89), which is neither of those choices.
5, 8, 13 are no dice, namely 5² + 8² ≠ 13
25, 64, 17 is are no dice too, because 25² + 17² ≠ 64²
however, 5,12 and 13 are indeed a pythagorean triple
also is 39, 80, 89.
when looking for a pythagorean triple, recall that c² = a² + b².
so the longest leg is the sum of the square of the small ones.
so what you'd do is, check the small legs, square them, add them up, if they're indeed a pythagorean triple, they "must" add up to the longest leg.
You are just taking plus and minus numbers.
You start at 62.3
You go up 13.9
Then you go down - 21.5
End temperature = 62.3 + 13.9 - 21.5
Edm temperature = 54.7 <<<<< answer