Answer:
She added 83 instead of subtracting
Step-by-step explanation:
83 + n = 110
We want to do the opposite to n
We are adding 83 to n. The opposite is subtract 83
83+n-83 = 110-83
n =27
Mia
83 + n = 110
83 + 83 + n = 110 + 83
163+n=193
1 divided by 5 equals 0.2
Answer:
38,999
Step-by-step explanation:
In your sample you have 26 out of 30. I like to get that number into a percentage, so you do 26 divided by 30
26/30 = .8666
Then you take your total amount of fans, 45,000 and multiply it by your percentage wearing team colors.
45,000 x .8666 = 38,999.97
Since you can't have .97 of a person, your round it down to 38,999.
Solve for x
2x+3y=9
2x=9-3y
2x/2 = 9-3y/2
X=9-3y/2
Solve for Y
2x+3y=9
3y=9-2x
3y/3 = 9-2x/3
Y=9-2x/3
Y=-2x/3 + 3
Answer:
Step-by-step explanation:
Given that,
|P| = 2x / 5 + 1
|Q| = x + 1
|P+Q| = 3x + 2
We know that, from Cauchy inequalities
|P| + |Q| > |P+Q|
(2x / 5) + 1 + x + 1 > 3x + 2
(2x / 5) + 2 + x > 3x + 2
Multiply through by 5
2x + 10 + 5x > 15x + 10
Collect like terms
2x + 5x - 15x > 10 -10
-8x > 0
Then,
Divide both side by -8, since we are dividing with a negative number the inequality sign will change
Then,
x < 0 first condition
Note that,
|P| > 0
Then,
2x / 5 + 1 > 0
2x / 5 > -1
2x > -5
x > -5/2
Also,
|Q| > 0
x + 1 > 0
x > -1
Also
|P+Q| > 0
3x + 2 > 0
3x > -2
x > -2 / 3
So, comparing the four conditions
We see that x ranges from -5/2 to 0, this range covers all the other ranges
(-5/2, 0)
The first answer is correct
