The sides are 2x, 3x-5 and 4x+2
perimiter is the sum of the sides
a.
2x+3x-5+4x+2=63 is an equation
b.
solve
group like terms
2x+3x+4x-5+2=65
add like terms
9x-3=65
add 3 to both sides
9x=68
divide both sides by 9
x=68/9
2x=2(68/9)=136/9 in
3x-5=3(68/9)-5=(68/3)-5=(68/3)-(15/3)=53/3
4x+2=4(68/9)+2=272/9+2=272/9+18/2=290/9
the side lengths are 136/9in, 53/3in, and 290/9in
Answer: 8648640 ways
Step-by-step explanation:
Number of positions = 7
Number of eligible candidates = 13
This can be done by solving the question using the combination Formula for selection in which we use the combination formula to choose 7 candidates amomg the possible 13.
The combination Formula is denoted as:
nCr = n! / (n-r)! * r!
Where n = total number of possible options.
r = number of options to be selected.
Hence, selecting 7 candidates from 13 becomes:
13C7 = 13! / (13-7)! * 7!
13C7 = 1716.
Considering the order they can come in, they can come in 7! Orders. We multiply this order by the earlier answer we calculated. This give: 1716 * 7! = 8648640
From the solution to the inequality, the correct interpretation is that:
Amanda's family can drive 244 miles before they need to refill the gas tank.
The amount of miles they can still travel is modeled by the following <em>inequality</em>:

It is solved similarly to an equality, hence:


Then:
Amanda's family can drive 244 miles before they need to refill the gas tank.
You can learn more about inequalities at brainly.com/question/25629776
You gave me numbers but forgot the question. Without a question there is no answer.