Answer:
18 am i right. im pretty sure i am
Step-by-step explanation:
Answer:
50
Step-by-step explanation:
Because of supplementary angles that line has to equal to 180
180-75 = 105
so 105 = (2x + 5)
you can subtract 5 from each side and get
100 = (2x)
then divide each side by 2 and you get
x = 50
you can check it by doing (2 x 50 + 5)
2 x 50 = 100 + 5 = 105 + 75 = 180
You can model this problem using the following inequations:y≥10 and 4 * y + 12 * x <400 ... To find the number of pizzas and people, you have to rewrite the inequations as equations and solve the 2x2 system. That is y = 10 and 4 * Y + 12 * X = 400. Clearing from the second equation X, X = 30 results. Therefore, approximately Jhon can have 10 people and 30 pizzas at his party.
Answer:
<h2>x - 3y = 6</h2>
Step-by-step explanation:
The Standard Form of an equation of a line:
![Ax+By=C](https://tex.z-dn.net/?f=Ax%2BBy%3DC)
We have the x-intercept and the y-intercept
x-intercept is for y = 0
y-intercept is for x = 0
Therefore we have two points: (6, 0) and (0, -2).
The slope-intercept form of an equation of a line:
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
<em>m</em><em> - slope</em>
<em>b</em><em> - y-intercept</em>
The formula of a slope:
![m=\dfrac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
Calculate the slope:
![m=\dfrac{-2-0}{0-6}=\dfrac{-2}{-6}=\dfrac{1}{3}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7B-2-0%7D%7B0-6%7D%3D%5Cdfrac%7B-2%7D%7B-6%7D%3D%5Cdfrac%7B1%7D%7B3%7D)
Put it and the value of y-intercept <em>b = -2</em> to the equation of a line:
![y=\dfrac{1}{3}x-2](https://tex.z-dn.net/?f=y%3D%5Cdfrac%7B1%7D%7B3%7Dx-2)
Convert to the standard form:
<em>multiply both sides by (-3)</em>
<em>add x to both sides</em>
![x-3y=6](https://tex.z-dn.net/?f=x-3y%3D6)
The solution set of the equation is all reals ⇒ 3rd answer
Step-by-step explanation:
The solution set of an function is the set of all vales make the equation true. The equation has:
- Solution if the left hand side is equal to the right hand side
- No solution if the left hand side doesn't equal the right hand side
∵ The equation is 18 - 3n + 2 = n + 20 - 4n
- Add the like terms in each side
∴ (18 + 2) - 3n = (n - 4n) + 20
∴ 20 - 3n = -3n + 20
- Add 3n to both sides
∴ 20 = 20
In the equation of one variable, when we solve it if the variable is disappeared from the two sides, and the two sides of the equations are equal, then the variable can be any real numbers, if the two sides are not equal, then the variable couldn't be any value
∵ The the variable n is disappeared
∵ The left hand side = the right hand side
∴ n can be any real number
∴ The solution set of the equation is all real numbers
The solution set of the equation is all reals
Learn more:
You can learn more about the equations in brainly.com/question/11229113
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