Answer:
Scores = 8
Step-by-step explanation:
To solve variation problems, you make mild assumptions and analogies
Let's score be represented with S
Let's Absences be represented with A.
Therefore
S varies inversely as A
S ~ 1/A
S = K/A
The K represents a contant notation so that we can easily figure the variation problem.
When Absences were 2
Scores were 12
S = K/A
12 = K / 2
Cross Multiply.
K = 24.
It means that, S = 24 / A.
For a student with 3 absences, the score would be:
S = 24 / A
S = 24 / 3
S = 8
Math is fun!
<h2>
Answer:</h2>
<h3>
<em>x=45degrees</em></h3>
<h2>
Step-by-step explanation:</h2>
Let the angle to be solved be x
Let the supplement/compliment by y
x+y=90 Complimentary angles add up to 90 degrees.
x+3y=180 Supplementary angles add up to 180 degrees, the other angle is thrice the other compliment.
Evaluating this as a system:
x+y=90 Isolate x:
x=90−y Input into the other equation:
(90−y)+3y=180 Combine like terms, isolate y and its coefficients:
2y=90 Isolate y
y=45 Input into the first equation:
x+45=90 Isolate x:
x=45degrees
Answer:
(x, y) = (8, -3)
Step-by-step explanation:
You can substitute for x in the first equation:
3(-3y -1) +3y = 15
-6y = 18 . . . . . add 3 and simplify
y = -3 . . . . . . . divide by -6
x = -3(-3) -1 = 8 . . . . find x using the second equation
The solution to this system of equations is (x, y) = (8, -3).
Answer:3x???
Step-by-step explanation:
(5x+2)(4x+4)
20x² + 20x + 8x + 8
20x² + 28x + 8
