-4(-3x-2)=32 please hurry
1 answer:
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Answer:
c) (40+60+25)/200 or 63%
Step-by-step explanation:
n= 200 students
Did Well on the Midterm and Studied for the Midterm = 75
Did Well on the Midterm and Went Partying = 40
Did Poorly on the Midterm and Studied for the Midterm = 25
Did Poorly on the Midterm and Went Partying = 60
The number of students that did poorly on the midterm or went partying the weekend before the midterm is given by the sum of all students who did poorly to all students who went partying minus the number of students who did Poorly on the Midterm and Went Partying:
The probability that a randomly selected student did poorly on the midterm or went partying the weekend before the midterm is given by:
Answer:
A. Solutions are: x = 2, y = 1.
B. Solutions are: x = 3, y = 2.
C.
1. Inconsistent
2. Inconsistent
3. Consistent
Step-by-step explanation:
A. Solutions of each system of linear equations by substitution method:
Equation 1: 3x - 2y = 4
Equation 2: x = 2y
<u>Step 1:</u> Substitute x = 2y into the Equation 1:
3(2y) - 2y = 4
6y - 2y = 4
4y = 4
Step 2: Divide both sides of the equation by 4 to isolate y:
y = 1.
<u>Step 3:</u> For Equation 2, x = 2y, substitute y = 1 into the equation to solve for x:
x = 2y
x = 2(1)
x = 2
Therefore, the solutions are: x = 2, y = 1.
B. Find the solutions of each system of linear equations by elimination method:
Equation 1: 2x + y = 8
Equation 2: x + y = 5
<u>Step 1:</u> Multiply Equation 2 by 2:
2(x + y) = 5(2)
2x + 2y = 10
<u>Step 2:</u> Subtract Equation 1 from the equation derived from Step 1, 2x + 2y = 10:
2x + 2y = 10
- <u>2x + y = 8</u>
y = 2
Step 3: Plug in y = 2 into Equation 1, 2x + y = 8 to solve for x:
2x + y = 8
2x + (2) = 8
<u>Step 4:</u> subtract both sides of the equation by 2 to isolate x:
2x + 2 - 2 = 8 - 2
2x = 6
<u>Step 5:</u> Divide both sides of the equation by 2 to solve for x:
x = 3.
The solutions are: x = 3, y = 2.
C:
1. Inconsistent
2. Inconsistent
3. Consistent (infinitely many solutions)