Answer:
x + 12
Step-by-step explanation:
Therefore, the answer is x + 12.
Have a lovely rest of your day/night, and good luck with your assignments! ♡
To solve the problem w must know about the Associative property.
<h2>Associative property</h2>
The associative property states that the addition of the sum of two numbers (a,b) and a third number(c) is equal to the addition of the sun of the last two numbers(b, c) and the first number(a).
The property that will allow Carmen to do this without changing the value of the expression is the Associative property.
<h2>Explanation</h2>
Given to us
<h3>Associative property.</h3>
Now, using Associative property,
(6.21 + 0.93 ) + 0.07
= 6.21 + (0.93 + 0.07)
=6.21 + (0.93 + 0.07)
Hence, the property that will allow Carmen to do this without changing the value of the expression is the Associative property.
Learn more about Associative property:
brainly.com/question/1680548
the diagonal of the triangle representa the lenght of the ladder and is 12 foot
as the Sen alpha = CO/H, OF THIS FORMULA , CO IS THE HICK OPPOSITE AND REPRESENT THE HEIGHT
CO = Sen alpha*H = Sin (60°)* 12 = 10,39 FOOT
Answer:
The profit is maximum when x = 40.
Step-by-step explanation:
Cost function, C = 40 x + 300
Revenue function, R = 80 x - 0.5 x^2
The profit function is
![P = R - C\\\\P = 80 x - 0.5 x^2 - 40 x - 300\\\\P = - 0.5 x^2 + 40 x - 300\\\\\frac{dP}{dx} = - x + 40\\\\So, \frac{dP}{dx} = 0\\\\-x + 40 = 0 \\\\x = 40](https://tex.z-dn.net/?f=P%20%3D%20R%20-%20C%5C%5C%5C%5CP%20%3D%2080%20x%20-%200.5%20x%5E2%20-%2040%20x%20-%20300%5C%5C%5C%5CP%20%3D%20-%200.5%20x%5E2%20%2B%2040%20x%20-%20300%5C%5C%5C%5C%5Cfrac%7BdP%7D%7Bdx%7D%20%3D%20-%20x%20%2B%2040%5C%5C%5C%5CSo%2C%20%5Cfrac%7BdP%7D%7Bdx%7D%20%3D%200%5C%5C%5C%5C-x%20%2B%2040%20%3D%200%20%5C%5C%5C%5Cx%20%3D%2040)
So, the profit is maximum when x = 40 .
Part A:
The HCF is an acronym for Highest Common Factor. An unknown number and 63 have an HCF equal to 9. The factors of 63 are 9 and 7. There are lots of numbers to which the HCF with 63 is 9. These should be divisible by 9 but not by 7. That being said, the answers could be 9, 18, 27, etc.
Part B:
LCM is the acronym for least common multiple. Given that the LCM of a number and 48 is 144, the other number could be determined by dividing 144 by 48. If we let x be the number,
x = 144/48
x = 3