Answer:
Let's begin by writing the mathematical equations given by the sentences.
Let X = smaller number
Let Y = larger number
The first sentence tells us
X + Y = 38
The second sentence tells us
X = Y/3 + 6
Since you weren't given a specific method to use, you can use either the substitution method or the elimination(addition) method, whichever works best for you.
Since the 2nd equation has the X isolated, I'm going to isolate the X in the first equation,
X = 38 - Y
Since both equations are equal to X, I can set them equal to one another and solve for Y.
Y/3 + 6 = 38 - Y
Y + 18 = 114 - 3Y
4Y = 96
Y = 24
Then use either of the two original equations to solve for X
X + Y = 38
X + 24 = 38
X = 14
Step-by-step explanation:
PLS MAKE ME AS BRAINLIST
Answer:
Therefore the angle that the line through the given pair of points makes with the positive direction of the x-axis is 45°.
Step-by-step explanation:
Given:
Let
A(x₁ , y₁) = (1 , 4) and
B( x₂ , y₂ ) = (-1 , 2)
To Find:
θ = ?
Solution:
Slope of a line when two points are given is given bt
Substituting the values we get
Also Slope of line when angle ' θ ' is given as
Substituting Slope = 1 we get
We Know That for angle 45°,
tan 45 = 1
Therefore
Therefore the angle that the line through the given pair of points makes with the positive direction of the x-axis is 45°.
Answer:
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Answer:
choosing 1 blue and 1 green candy or choosing 2 green candies
Answer:
5 people trust none of the candidates
Step-by-step explanation:
To know how many people surveyed trust none of the candidates we need to find:
- People that trust all three candidates: 5
- People that just trust candidate B and C: This is equal to people that trust candidate B and C less people that trust all three candidates. So it is equal to: 17 - 5 = 12
- People that just trust candidate A and C: This is equal to people that trust candidate A and C less people that trust all three candidates. So it is equal to: 12 - 5 = 7
- People that just trust candidate A and B: This is equal to people that trust candidate A and B less people that trust all three candidates. So it is equal to: 7 - 5 = 2
- People that just trus candidate C: This is equal to the people that trust candidate C less people that just trust candidate B and C less people that just trust candidate A and C less people that trust all three candidates. So, it is equal to: 48 - 12 - 7 - 5 = 24
- People that just trus candidate B: This is equal to the people that trust candidate B less people that just trust candidate B and C less people that just trust candidate A and B less people that trust all three candidates. So, it is equal to: 44 - 12 - 2 - 5 = 25
- People that just trus candidate A: This is equal to the people that trust candidate A less people that just trust candidate A and C less people that just trust candidate A and B less people that trust all three candidates. So, it is equal to: 34 - 7 - 2 - 5 = 20
Therefore, we can calculate how many people surveyed trust at least one candidate by the sum of the previous quantities as:
5 + 12 + 7 + 2 + 24 + 25 + 20 = 95
Finally, there are 100 people surveyed and 95 people trust at least one candidate, so 5 people trust none of the candidates.
