Since the perimeter must not exceed 291.
Let the third side be x.
x + 87 + 64 < 291
x + 151 < 291.
x < 291 -151.
x < 140. (First)
But for a triangle there is what is called the Triangle Inequality Theorem. That given the two sides of a tringle, the third side of the triangle must greater than the positive difference between the two sides and less than the sum of the two sides.
So for this case. 87 and 64.
x > ( 87 - 64). x > 23.
x < (87 + 64) x < 151. Combine both inequalities.
23 < x < 151 (second).
Combining First and second. Both must be satisfied.
So we have a more accurate answer as:
23 < x < 140. x is greater than 23 and x is less than 140.
x could be 24, 25, 26, 27, ......, 139. cm.
I hope this helps.
Answer:
<em>Assuming person A and person B are part of the 7 people</em>, there are 10 ways the 7 people can line up if A needs to be first or last and B needs to be in the middle.
Step-by-step explanation:
There are 2 places for A (first, last) and 5 places for B (anywhere but first or last). 2 x 5 = 10.
Answer:
Aimee can save $24 by buying tickets at the lower price that is at the theater.
Step-by-step explanation:
First, you need to find the amount she would spent by buying tickets at the theater and online by using a rule of three:
Theater:
60→8
x ←24
x=(60*24)/8=180
Online:
51→6
x ←24
x=(51*24)/6=204
Now, you need to calculate the difference:
$204-$180=$24
According to this, the answer is that Aimee can save $24 by buying tickets at the lower price that is at the theater.
An additive inverse is the value you can add to a given value such that the sum is "0"..
Your answer is choice A
18xy + (-18xy) = 0 Since these are like terms.. the key here is understanding that like terms must have the same exact variables raised to the exact same powers. We can add like terms. We cannot add unlike terms.
Easy Algebra question!
Let's use "x" as a variable.
The equation would be x+x+60 = 240 with "x" being George's weight.
Subtract 60 from both sides and you get 2x = 180.
From there you divide both sides by 2, getting x=90.
"x" is George's weight, so he weighs 90 pounds.
ANSWER: 90 POUNDS
