The work of a student to solve the equation 2(4x − 4) = 8 + 4x + 4 is shown below: Step 1. 2(4x − 4) = 8 + 4x + 4 Step 2. 6x − 6 = 12 + 4x Step 3. 6x − 4x = 12 + 6 Step 4. 2x = 18 Step 5. x = 9 In which step did the student first make an error and what is the correct step? Step 2, 8x − 6 = 2(6 + 2x + 2) Step 2, 8x − 8 = 12 + 4x Step 3, 6x − 4x = 12 − 6 Step 3, 6x + 4x = 12 + 6
Answers
Answer is step 2, 8x - 8= 12 + 4x
The student did not distribute the 2 into the parentheses properly which ruined their entire problem. With 2(4x-4) , you must multiply everything in parentheses by 2.
so 2 x 4x = 8x
2 x -4 = -8
making it 8x- 8 = 12 + 4x ( on the right side all you did was combine like terms)
Related Questions
4 shirts for $32.00 rate=______ Unit rate =_____
Donna earns $1,404 per week at her job. However, 19% of her income gets taken out in taxes, and 12% of her income gets taken out and put into her retirement account.Which is a reasonable estimate of the amount Donna is left with each week after the money is taken out?
Your model locomotive is 16 inches long. It is an exact model of a locomotive that is 40 feet long. A window on the locomotive is how many times wider than a window on the model?
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Answers
we are given
Area:
side=a=19
we know that
area of square = side*side
now, we can plug value
and we get
Perimeter:
perimeter=4a
Formula for perimeter of a square: P = 4a
Formula for area of a square: A = a²
a is given as:
19
Plug this value for a into the above formulas to solve for perimeter and area.
P = 4a
P = 4(19)
P = 76
-----------------------------------------------------------------------------------------------------------------
A = a²
A = 19²
A = 361
Answer:
P = 76 units; A = 361 units².
Answers
Answer:
x=25
Step-by-step explanation:
Assuming you meant 3x = 75 what you want to do is isolate x. To isolate x you want to work backward. Since it is 3 times x you want to divide each side by 3 to get x on its own.
(3x)/3 = (75)/3
When you divide 3 and 3 you get one. 1x is represented by just an x so x=25.
Answers
Answer:
per hour
Step-by-step explanation:
step 1
Find the total hours
(37 hours/week)*(52 week)=1,924 hours
step 2
Divide the annual salary by the total hours
Answer:
? per hour - sorry if this shOws up wEird my bRainlY is haveing a GLItcH! good luck! :)
Step-by-step explanation:
Answers
So r's absolute value is -2 meaning r is two units from zero
r= 2
Final answer:
The equation |r| = -2 has no solution, and the graph does not exist.
Explanation:
To solve the equation |r| = -2, we need to consider the absolute value. The absolute value of any number is always positive or zero, so it can never be negative. Since there is no number whose absolute value is -2, the equation |r| = -2 has no solution.
Graphically, the equation represents the absolute value function, which is always positive or zero. Therefore, the graph of |r| = -2 does not exist on the coordinate plane.
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Answers
Multiply 25 by 5 and then multiply that product by 2.
Multiply 1/25 by 2/5.
Multiply 25 and 5/2.
Answers
The correct option will be Divide 25 by 5 and then multiply the quotient by 2.
What is multiplication?
Multiplication is an operation that represents the basic idea of repeated addition of the same number.
Given that, There are 25 students in a class. 2/5 of them walk to school.
It is given that, 2/5 of the students walks to the school,
That mean, 2/5 part of the total student walks to the school,
Therefore,
25 x 2/5
= 10
Hence, The correct option will be Divide 25 by 5 and then multiply the quotient by 2.
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2/5 = ?/25
2 x 25 =50
50 divided by 5 = 10
So it would be: Divide 25 by 5 and then multiply the quotient by 2.