10% of the movies, because 100/40 is 2.5 so you would do 4 x 2.5 which equals 10. AKA
So if you’re trying to change it to x/100, you would do cross division and get 10/100 which equals 10%
Answer:
![$\[x^2 + 22x + 121\]$](https://tex.z-dn.net/?f=%24%5C%5Bx%5E2%20%2B%2022x%20%2B%20121%5C%5D%24)
Step-by-step explanation:
Given
![$\[x^2 + 22x + \underline{~~~~}.\]$](https://tex.z-dn.net/?f=%24%5C%5Bx%5E2%20%2B%2022x%20%2B%20%5Cunderline%7B~~~~%7D.%5C%5D%24)
Required
Fill in the gap
Represent the blank with k
![$\[x^2 + 22x + k\]$](https://tex.z-dn.net/?f=%24%5C%5Bx%5E2%20%2B%2022x%20%2B%20k%5C%5D%24)
Solving for k...
To do this, we start by getting the coefficient of x
Coefficient of x = 22
<em />
Divide the coefficient by 2


Take the square of this result, to give k


Substitute 121 for k
![$\[x^2 + 22x + 121\]$](https://tex.z-dn.net/?f=%24%5C%5Bx%5E2%20%2B%2022x%20%2B%20121%5C%5D%24)
The expression can be factorized as follows;




<em>Hence, the quadratic expression is </em>
<em></em>
<h3>17 heavy equipment operators and 14 general labourers were employed</h3>
<em><u>Solution:</u></em>
Let x = number of heavy equipment operators employed
Then,
31 - x = number of laborers employed
From given,
Pay of heavy equipment operators = $ 138 per day
Pay of general labours = $ 93 per day
Payroll was $3648
Therefore,
number of heavy equipment operators x Pay of heavy equipment operators + number of laborers employed x Pay of general labours = 3648
138x + 93(31 - x) = 3648
138x + 2883 - 93x = 3648
45x = 3648 - 2883
45x = 765
x = 17
Thus,
31 - x = 31 - 17 = 14
Therefore, 17 heavy equipment operators and 14 general labourers were employed
Answer:
Slope = 1
Step-by-step explanation:
While there are multiple methods to deducing slope, the one I used for this equation is y/x. Starting at the y-intercept, draw a line up as many increments until you align horizontally with another point. Then, draw a line horizontally (towards the line) until you meet that point. Continue this pattern up the line. Each movement will fall in a patterned number, such as 3 up and 1 left or right. 'Up' becomes 'Y' as you are moving on the y-axis, and 'horizontally' or 'left/right' becomes 'X' as you are moving on the x-axis. Pull these numbers into the fraction y/x. If the fraction equals a whole number, translate the fraction into that number. If not, keep it in fraction form (such as 1/3 or 1/4). In this instance, it would become 3/1 and then 3. This number is now your slope.
Here I attached the same practice to your graph (in desmos) and showed how it becomes 1/1 and then 1.
Answer:
Correct option: First one -> Hexagonal prism
Step-by-step explanation:
In the figure we have two hexagons and six rectangles. If we fold each part correctly, we can use the two hexagons as horizontal bases of a prism, and the six rectangles would be the sides of the prism (each rectangle connected to one side of lower hexagon and one side of upper hexagon).
So the figure created would be a hexagonal prism.
Correct option: First one.