in a survey, 27% of people chose salads over a meat dish. In all, 81 people chose salads. How many people were in the survey?
Answers
Percentage of people that chose salad over meat dish = 27%
Let us assume the number of people on the survey = x
Then
27% * x = 81
(27/100) * x = 81
27x = 81 * 100
27x = 8100
x = 8100/27
= 300
So a total of 300 people participated in the survey.I hope the procedure is clear enough for you to understand. Based on this method you can always solve similar types of problems without requiring any kind of help from outside.
Answer:
300
Step-by-step explanation:
27 is to 100 as 81 is to 300
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Answer choice A is a ray, not a plane.
Answer choice C is not even a plane.
M is the name of the plane. Also, plane SRX is a plane because it contains points that are not all in a straight line and are on the same plane.
SRX are all points on a plane and define the plane by existence.
g is a line but not a plane.
Plane M is a plane as it is a two-dimensional flat surface consisting of lines and points.
I would choose B and D. However, the answer choices define line g as a plane so you might want to look further into it.
Answers
Answer:
Solution: x = 1, y = 5 or (1, 5).
Step-by-step explanation:
Given the systems of linear equations, y = 3x + 2 and y = -2x + 7:
I will demonstrate both solving for the solutions algebraically and graphically.
Algebraic Method:
Equation 1:y = 3x + 2
Equation 2: y = -2x + 7
Substitute the value of y = 3x + 2 from Equation 1 into Equation 2:
Equation 2: y = -2x + 7
⇒ 3x + 2 = -2x + 7
Add 2x to both sides:
3x + 2x + 2 = -2x + 2x + 7
5x + 2 = 7
Subtract 2 from both sides:
5x + 2 - 2 = 7 - 2
5x = 5
Divide both sides by 5 to isolate x:
x = 1
Substitute the value of x into Equation 1 to solve for y:
Equation 1: y = 3x + 2
y = 3(1) + 2
y = 3 + 2
y = 5
Therefore, the solution to the given system is x = 1, y = 5 or (1, 5).
Verify:
Substitute the value of x = 1, and y = 5 into both equations:
Equation 1:y = 3x + 2
y = 3x + 2
5 = 3(1) + 2
5 = 5 (True statement)
Equation 2: y = -2x + 7
y = -2x + 7
5 = -2(1) + 7
5 = -2 + 7
5 = 5 (True statement).
Hence, we have the correct solution to both equations.
Graphing Method:
In order to solve for the solution graphically, start by plotting the y-intercepts of both equations.
Equation 1:y = 3x + 2
Slope = 3, y-intercept: (0, 2)
Equation 2: y = -2x + 7
Slope = -2, y-intercept: (0, 7)
After plotting the y-intercepts, use the slope (rise over run technique) of each equation to plot other points into the graph. In other words:
In Equation 1, the slope = 3 (rise 3 units, run 1 unit to the right).
For Equation 2, the slope = -2 (down 2 units, run 1 unit to the right).
Continue this process until you have at least 3 points to connect your line with.
The solution will be the point where the two lines intersect, which occurs at point (1, 5).
Attached is a screenshot of the graphed equations.
Answer:
(1, 5) I think this supposed to be the answer you are looking for! I rlly hope this helps!
Step-by-step explanation:
y = 3x + 2 y = -2x + 7
= take the first equation and use the 3x + 2 and replace the y in the second equation with that!
3x + 2 = -2x + 7
= 3x + 2x = 7 - 2
= 5x = 5
= x = 1
Now substitute x for one!
y= 3 x 1 + 2
y= 5
Now try the other equation, to be sure!( If you wanna, I mean, you should...)
y= -2 x 1 + 7
y= -2 + 7
y= 5