The work of a student to solve a set of equations is shown: Equation A: y = 4 − 2z Equation B: 4y = 2 − 4z Step 1: −4(y) = −4(4 − 2z) [Equation A is multiplied by −4.] 4y = 2 − 4z [Equation B] Step 2: −4y = 4 − 2z [Equation A in Step 1 is simplified.] 4y = 2 − 4z [Equation B] Step 3: 0 = 6 − 6z [Equations in Step 2 are added.] Step 4: 6z = 6 Step 5: z = 1 In which step did the student first make an error? (5 points)​

Answers

Answer 1

Answer:

The student made the first mistake in step 2.

Step-by-step explanation:

Answer 2

The work of a student to solve a set of equations first make an error in step 2 .

What is elimination method?

The elimination method is the process of eliminating one of the variables in the system of linear equations using the addition or subtraction methods in conjunction with multiplication or division of coefficients of the variables.

According to the question

Equation A: y = 4 − 2z

Equation B: 4y = 2 − 4z

Solving equation by elimination method

Step 1:

[Equation A is multiplied by −4.]

−4(y) = −4(4 − 2z)  

Equation B: 4y = 2 − 4z  

Step2:

[Equation A in Step 1 is simplified.]

-4y = -16 + 8z

Equation B: 4y = 2 − 4z

Step 3:

Both equation A and B is added

-4y = -16 + 8z

 4y = 2 − 4z  

=> 0 = -14 + 4z  

Step 4:

4z = 14

z = 3.5  

Hence, the work of a student to solve a set of equations first make an error in step 2 .

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Related Questions

A car travels 6 mile in 2 hours what is the unit rate
A 3 miles/ hour
B 1 mile/3 hour
C 3 /1 mile
D6 miles/ 1 hour

Answers

Answer:

A

Step-by-step explanation:

This is a fraction equal to

6 miles ÷ 2 hours

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 2

6 miles ÷ 2 2 hours ÷ 2= 3 miles1 hour= 3 miles hour = 3 miles per hour

Find the area of the figure.
A) 96cm
B) 110cm
C) 120cm
D) 150cm​

Answers

Answer:

A

Step-by-step explanation:

Answer:

209952=Area

56=Perimeter

Step-by-step explanation:

3*3*2*2*9*9*6*12=Area

3+3+2+2+9+9+6+12=Perimeter

Pls hurry I need an instant answer ASAP! Thank you

Answers

Answer:

A= -2

Step-by-step explanation:

Hope I helped!! Negitive 2

This Question: 1 pt
Determine whether the variation between the indicated quantities is direct or inverse.
The time required to defrost a frozen hamburger in a room and the temperature of the room.
Choose the correct answer below.
Inverse
Direct

Answers

Answer:

Inverse variation

Step-by-step explanation:

Required

What type of variation is described in the question

From the question, we understand that: the relationship is between time and temperature

The higher the time, the lower the temperature of the hamburger (to get freeze).

Hence, the relationship is an inverse variation.

Solve the proportion.
10
15
a
24
a = [?]

help please I will give you brainliest!!

Answers

Let's solve your equation step-by-step.

10/a=15/24

Step 1: Cross-multiply.


10/a=15/24


(10)*(24)=15*a


240=15a


Step 2: Flip the equation.


15a=240


Step 3: Divide both sides by 15.

15a / 15 = 240/15

a=16

Damian took out a car loan for $10,500 that has a 0% APR for the first 12
months and will be paid off with monthly payments over 3 years. For how
many months will Damian be charged interest?

A. 24 months
B. 48 months
C. 36 months
D. 12 months

Answers

Answer: 24 Months

Step-by-step explanation:

Pls help if not that’s fine just pls stop with the links

Answers

Answer:

C. 73 and 73

Step-by-step explanation:

An isosceles triangle has two angles that are the same, that narrows it down to C and D. The question states that there is only one 34° angle so it has to be C.

Answer:

C. 73° and 73°

Step-by-step explanation:

We know that the sum of interior angles in a triangle is equal to 180° and

Isosceles triangles has two angles with same measurement

it stated in the question that exactly one angle has measure of 34°

So the other two angles must be equal for the triangle to be isosceles

180 - 34 = 146 and this divided by 2

73° and 73° is the answer.

Each pattern below is made of six congruent
squares. Which pattern can be folded into a cube
that has a surface area of 96cm??

Answers

Step-by-step explanation:

im not sure have a good day stay safe and get a good grade

help me pleeeeeeeeeeeeease

Answers

Answer:

1:9

Step-by-step explanation:

9/9 = 1 and 81/9 = 9

Thus, 9:81 ratio simplified is 1:9



What is the sixth term in the geometric sequence shown above?
A. 32
B. 24
C. -24
D. -32

Answers

So looking at the pattern you can tell that it is going by (-2)^(n-1)

if n=6 then we have (-2)^5 which is -32

The answers is D. -32

Your constant ratio=-2 and a =1 therefore if you substitute these values into the general term formula for a geometric sequence the answer will be -32

Finding the area of each

Answers

Answer:

C.

HOPE THIS HELPS

-Todo <3

Step-by-step explanation:

2*2=4

Will give Brainliest .
a.188.5 cubic units
b. 204.2 cubic units
c. 1,021.0 cubic units
d. 942.5 cubic units

Answers

Answer:

d. 942.5 cubic units

Step-by-step explanation:

Volume of the oblique cylinder = πr²h

h = 12

r = 5

Plug in the values

Volume = π × 5² × 12

Volume = 942.477796

Volume = 942.5 cubic units (nearest tenth)

find the greatest 5 digit number which exactly divide by 16, 56 and 120​

Answers

five-digitsinceStep-by-step explanation:

Ummm.....I have never done this before but I THINK what your supposed to do is find the lcm of all the pairs you can get from those 3 numbers.

so lcm(16,56)=112

lcm(56,120)=840

lcm(16,120)=240

Now take any number from this and take the lcm of that

lcm(112,840)=1680

that is the number if you take the lcm of any of them so it is the lcm of them all but it is not a  number. so  16,56, and 120 are divisible by 2 I just multiplied 1680 by 2 until I got the highest possible 5 digit number which was 53760

Hope that helps :)

9514 1404 393

Answer:

  99120

Step-by-step explanation:

The LCM of 16, 56, 120 can be found from their factors:

  16 = 2^4

  56 = 2^3 · 7

  120 = 2^3 · 3 · 5

So, the least common multiple is 2^4×3×5×7 = 1680.

10^5/1680 = 59 r 880

The largest 5-digit number divisible by 16, 56, and 120 is 59×1680 = 99120.

a fair cube has 2 red sides, 2 blue sides, and 2 green sides what is the probability of rolling red or blue

Answers

The probability of rolling red or blue would be 4 out of 6 4/6

If an object with a volume of 400 is dilated by 1/2, what is the new volume?

Answers

^ pls don’t click the link y’all it’s a hacker

Determine which lines, if any, are parallel? Explain.

PLEASE PLEASE HELP ME ASAP

Answers

Answer:

The 2 on the right because they don't cross and they are straight

Step-by-step explanation:

I’d say the two on the right side, but I’m not sure so don’t take my word for it

please help me, its urgent ❗❗❗❗❗❗❗❗❗❗❗❗

Answers

Answer:

the answer to this one is A.

Step-by-step explanation:

Over 4 days, Krista deposited $45 into
her bank account, transferred $30 to a
friend, deposited $59, and withdrew
$18. What was the mean change per day
to Krista's account during that week?

Answers

Answer:

50

Step-by-step explanation:

45 - 30 = 15

15 + 59 = 74

74 - 18 = 56

The mean change per day to Krista's account during the week is $ 14

What is Average?

The average value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values.

Given data ,

The total sum of money in Krista's account = $45 - $30 + $59 - $18

                                                                             = $56

Total number of days = 4 days

Now ,

Mean change per day = Sum of money in Krista's account / Total number of days

Mean change per day  = 56 / 4

                                      = $ 14

Hence , The mean change per day to Krista's account during the week is $ 14

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A furniture company currently produces 6800 chairs per month. If production decreases 7​%, find the amount of the decrease and the new number of chairs produced each month.

Answers

Answer:

7% production decreases of 6800 means you lost 476 chair a month and you would only produce 6324 chair per montg

PLEASE HELPP I REALLY NEED IT​

Answers

Answer: Vertical angle proof

Step-by-step explanation: First off, this is really easy if you know how to do it. I think you should be able to figure it out. If you really are in collage. So Vertical angle proof, QPR is essentially (2x-30) but we need to find x. We know a triangle is 180 degrees and if it's a right angle then two angles add to 90.

So x+(2x+30)=90, 3x+30=90, 90-30=60, 3x=60, x=20. So there you have it. Now put x into the equation, 2(20)+30=70

70

Please answer the questions attached below

Answers

Answer:

Step-by-step explanation:

The parallelogram is two congruent triangles. Area of blue triangle is ½·2·2 = 2 units²

Area of parallelogram = 4 units²

:::::

area of blue parallelogram = 4×9 = 36 units²

:::::

area of green parallelogram = 3×5 = 15 units²

please help me. this is my last problem and i’m clueless.

Answers

Answer:

-3

Step-by-step explanation:

so you SUBSTITUTE -2 in for z

ok i think they are trying to be tricky here

so

-1 - (-(-2))

inside parentheses, the two negatives are going to cancel eachother out.

now you have

-1 - (2)

which is

-1 - 2

-1 minus 2 is -3

Help please I give brainliest and be serious

Answers

Answer:

you add all sides then you can calculate

HURRY ASAP
Solve the following equation for x

a. x=0.5
b. x=3
C. X=2
d. x=1

Answers

X is equal to 2 is the answer

A- (x+4) (4x-1)
B- (x-4)(4x-1)
C-(x+4)(4x+1)
D-(x-4)(4x+1)

Answers

D-(x-4)(4x+1) is your answer

Answer:

4x²-15x-4

doing middle term factorization

4x²-16x+x-4

4x(x-4)+1(x-4)

(x-4)(4x+1)

Which expression is equivalent to (3x^2y)^2 (2x^4y^2)^2?


A. 10x^10y^6
B. 12x^24y^8
C. 24x^10y^7
D. 36x^12y^6

Answers

D. 36x^12y^6 is the correct answer

Expand the following up to the term x⁴.

(2 + x)^-1​

Answers

Answer:

Rewrite the expression using the negative exponent rule

rule b^-1 = 1/bn

1/2+x

Step-by-step explanation:

this is the correct answer you want.

What is missing in the percent what is number 45 of 80

Answers

Answer:

35

Step-by-step explanation:

Please answer as soon as possible
Will give brainly

Which set of numbers shows the lower extreme, the lower quartile, the median, the upper quartile, and the upper
extreme for the box-and-whisker plot shown?

(14, 13, 28, 45, 54)

(6,12, 28, 44, 54)

(12, 20, 28, 44, 54)

(6,19,27, 44,54)

Will give brainly
Please help me

Answers

Answer:
B(6,12,28,44,54)

A rectangle has length of (5x+2) and a width of (3x-1) with an area of 308 units squared. Find the perimeter

Answers

Answer:

haach f,f msfmavfb

Step-by-step explanation:

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