The work of a student to solve a set of equations is shown below:Equation 1: m = 8 + 2n
Equation 2: 4m = 4 + 4n

Step 1: −4(m) = −4(8 + 2n)
4m = 4 + 4n

Step 2: −4m = −32 − 8n
4m = 4 + 4n

Step 3: −4m + 4m = −32 − 8n + 4n

Step 4: 0 = −32 − 4n

Step 5: n = − 8

In which step did the student first make an error?
Step 1 Step 2 Step 3 Step 4

Answers

Answer 1

Answer: The error is found in step 3.

Here is what he did:

-4m + 4m = -32 - 8n + 4n <<<<<<<<<<<< What happened to +4???

0 = -32 - 4n

n = -8.

Answer 2

Answer: He made erron in step 3. He forgot add 4. it should be
-4m + 4m = -32 - 8n + 4n +4

Greeting

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The area of a playground is 50 square yards. The length of the playground is 2 times longer than its width. find the length and width of the playground.

Which equation finds the volume of a cube with a side length of 6n^6 units? a. (2n^6)^3 = 8n^16 cubic units
b. (2n^6)^3 = 2n^18 cubic units
c. 2(n^6)^3 = 2n^18 cubic units
d. 2(n^6)^3 = 6n^18 cubic units

Answers

Answer:

Option A is correct that is $(2n^6)^3=8n^(18)$ cubic units

Step-by-step explanation:

We are given with length of the side of the cube = $2n^6\:units$

We need to find volume of the cube.

We know that Volume of cube = ( side )³

= $(2n^6)^3$

= $2^3(n^6)^3$

we use the law of exponent, $(x^a)^b=x^(ab)$

= $8n^(6*3)$

= $8n^(18)$ cubic units

Therefore, Option A is correct that is $(2n^6)^3=8n^(18)$ cubic units

I hope this helps you

(3x + 2) (2x - 5) = ax² + kx + n .
What is the value of a - n + k ?

Answers

$(3x + 2) (2x - 5)=ax^2+kx+n \n \n =3x\cdot 2x - 3x\cdot 5 +2\cdot 2x - 2\cdot 5=\n \n=6x^2-15x+4x-10=\n \n=6x^2-11x-10\n \n a=6, \ n=-10 , \ k=-11 \n \na - n + k = 6-(-10)+(-11)=6+10-11= 5$

Each hour, the number of bacteria in Dr. Nall’s petri dish tripled. What percent is the population compared to the population the hour before?A. 3%
B. 30%
C. 130%
D. 300%

Answers

Answer:

Option D. 300%

Step-by-step explanation:

Let the number of bacteria in Dr Nall's petri dish = x

After one hour number of bacteria in the petri dish = 3x

So the percentage of the population compared to the population the hour before will be

= $\frac{\text{Population after 1 hour}}{\text{Population before 1 hour}}* 100$

= $(3x)/(x)* 100$

= 300%

Therefore, Option D. will be the answer.

THE ANSWER IS THE D!!!!!!!!!!!!

Let f(x)=x+8 and g(x)=x^2 -6x-7. find f(g(2))

Answers

$f(g(2))=2^2-6\cdot2-7+8=4-12+1=-7$

$f(x)=x+8\n\ng(x)=x^2-6x-7\n\nf(g(x))=(x^2-6x-7)+8=x^2-6x+1\n\nf(g(2))=2^2-6\cdot2+1=4-12+1=-7\n\nSolution:f(g(2))=-7$

If the tax rate is 6.5%, what is the tax on $80?

Answers

Multiply 80✖️.065 and you'll get 8.80 Then add it to the total which is 80 +8.80 Which the answer is 88.80

Answer: 5.2

Step-by-step explanation:

In a certain math class, it is known that 18 students LOVE math review, and 5 students dislike math review. The teacher randomly selects three students from the class. What is the probability that all three students love math review?

Answers

The probability that the first random choice will be a matho-file and not a -phobe is 18/23. The probability of the second one is 17/22, and for the third one it's 16/21. The probability of all 3 is 4,896/10,626 = (18x17x16)/(23x22x21). That's 46.1% (rounded).