Answer: the player answered 30 questions correctly.
Step-by-step explanation:
Let x represent the number of questions that the player answered correctly.
Let y represent the number of questions that the player answered incorrectly.
The number of questions that the player answered is 40. It means that
x + y = 40- - - - - - - - - - -1
The score on the trivia game is obtained by subtracting the number of incorrect answers from twice the number of correct answers. If the player obtained a score of 50, It means that
2x - y = 50
y = 2x - 50
Substituting y = 2x - 50 into equation 1, it becomes
x + 2x - 50 = 40
3x - 50 = 40
3x = 40 + 50 = 90
x = 90/3
x = 30
Answer:
x = -5
Step-by-step explanation:
In both questions you want to get the x alone.
1.
-3x + (-6) = 9
First you want to add 6 to both sides so you'll be left with:
-3x = 15
Next, you want to divide both sides by -3 and you'll get:
x = -5
2.
-4x + (-12) = 8
You want to do the same thing as the first one so you'll add 12 to both sides:
-4x = 20
Then, you will divide both sides by -4 and get:
x = -5
If we have two points;
A(x₁,y₁)
B(x₂,y₂)
m=slope
m=(y₂-y₁) / (x₂-x₁)
Therefore:
(6,7)
(9,2)
m=(2-7) / (9-6)=-5/3.
Solution₁= the solpe of the line that passes through the poitns (6,7) and (9,2) is m=-5/3.
(17,9)
(5,29)
m=(29-9) / (5-17)=20/-12=-5/3
Solution ₂: the slope of the line that passes through the parir of points (17,9) and (5,29) is m=-5/3
Therefore, both lines have the same slope.
A 9-kg bag of mangoes for $12
Answer:
m∠2= 180-30=150
m∠3= 30
m∠4=30
m∠5=150
m∠6=150
m∠7=30
Step-by-step explanation:
since these are angles of parallel lines cut by a transversal the theorems of vertical, corresponding, supplementary, and complementary angles apply.
