Answer: 92
Step-by-step explanation:
So 12 +80 = 4(3 + 20) = 92
A minor league plays 101 games,
They win 14 more than twice as many as they lost.
How many wins and loses?
Okay, simple.
First, write a simple addition equation. In this case wins = w and losses = l.
l + w = 101.
Now, we have to figure out a way to make one of the terms the same term as the other, in this case we can change the terms of w to l.
l = l
w = 2l +14 (14 more than twice the amount)
Okay. So plug in the new amount for w.
l + 2l + 14 = 101. Great! we now have a simple equation. lets solve.
put similar terms together.
3l + 14 = 101
3l = 87
l = 29
So, we have 29 loses, and
w = 2(29) + 14
72 wins!
To check,
72 + 29 = 101, correct!
Hope this helps!
The volume of the rectangular prism can be express in standard polynomial as follows:
x³ + 12x² + 35x
<h3>How to find the volume of a rectangular prism?</h3>
volume of a rectangular prism = lwh
where
- l = length
- w = width
- h = height
Therefore,
let
height = x
width = x + 5
length = x + 5 + 2 = x + 7
Therefore,
volume = x(x + 5)(x + 7)
volume = x(x² + 7x + 5x + 35)
volume = x(x² + 12x + 35)
volume = x³ + 12x² + 35x
learn more on volume here: brainly.com/question/2005063
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Let's translate the words into expressions:
11 less than 7 times a number is ![7x-11](https://tex.z-dn.net/?f=%207x-11%20)
5 more than 6 times the number is ![6x+5](https://tex.z-dn.net/?f=%206x%2B5%20)
So we have the equation
![7x-11 = 6x+5](https://tex.z-dn.net/?f=%207x-11%20%3D%206x%2B5%20)
Subtract 6x from both sides:
![x - 11 = 5](https://tex.z-dn.net/?f=%20x%20-%2011%20%3D%205%20)
Add 11 to both sides:
![x=16](https://tex.z-dn.net/?f=%20x%3D16%20)