Answer:
<em><u>17: 480</u></em>
(We first arrange all of the candidates except b in a line. This can be done in 5! ways. We now add b to the line. Since we now want to count the arrangements where b is positioned next to a, there are two possibilities for the position of b. (Either left of a or right of a).
There are thus 2⋅5! ways of arranging the candidates so that a and b are next to each other, and hence 6!−2⋅5!=4⋅5!=480 ways of arranging the candidates so that a and b are not next to each other)
<u><em>18</em><em>:</em></u><em><u> </u></em>i don't know sorry
Grkaki nady stryd wi us jkah
5(x+4)=-15
Distribute
5x+20=-15
Subtract 20 from both sides
5x=-35
Divide both sides by 5
x=-7
Final answer: The number is -7
Using the pythagras theorem :
Length of rope = sqrt (6^2 - 5^2) sqrt 11 = 3.32 feet to nearest hundredth.
Answer: yes, she did made an error, a very big mistake.
Step-by-step explanation:
first, we have varieties of ways in which we can use to solve this, the most important thing is to stick to the mathematical rules of solving any equations.
using the most simpler method
-4x + 11 = 6x + 1
collect like ter
-4x -6x = 1 - 11
-10x = -10
divide bothside by -10
-10x/-10 = -10/-10
x=1
secondly, using the method she is intending to use, its more easier to subtract 6x from bothside
-4x + 11 = 6x +1
-6x -6x
_______________
-10x + 11 = 1
-10x = 1-11
-10x = -10
x = 1
or still we can doing it exactly as she did, but it will take us through a long way i.e by adding +6
-4x + 11 = 6x + 1
+6x +6x
_______________
2x +11 = 12x +1
2x-12x = 1-11
-10x=-10
x=1