Gwendolyn is asked to solve the equation –4(x – 3) = 20. She shows the work below and states that the solution is x = –8. –4(x – 3) = 20 –4x + 12 = 20 –4x = 32 x = –8 Unfortunately, Gwendolyn's work is flawed. Explain the flaw in Gwendolyn's work. Determine the correct solution to the equation.

Answers

Answer 1

Answer:

\(x=-2\)

Step-by-step explanation:

Given: Equation is \(-4(x-3)=20\)

To find: flaw in Gwendolyn's work and the correct solution to the equation.

Solution:

In the given question,

the first step is \(-4(x-3)=20\)

The second step is \(-4x+12=20\)

(This step is obtained on multiplying \(-4\) by \(x-3\))

The third step is \(-4x=32\)

This step is wrong as on transposing 12 from left side of the equation in the second step to the right side, the following equation is obtained:

\(-4x=20-12\\-4x=8\\x=-2\)

So, the correct solution is \(x=-2\)

Answer 2

Answer:

f  bfgdbffb

Step-by-step explanation:

vbfDBVDFBDzdfzdf


Related Questions

Pls help i cant think rn
One angles of a linear pair is 10 more than two thirds the other angle. Find the measure of both angles.
20 points and brainliest who ever gets it right!

Answers

Answer:

just write it into a number problem instead of word problem, then I can solve it!! :)

Step-by-step explanation:

I can only solve it when there is a pic of it or if you write it in NUMBERS NOT WORDS. :)

How to find value of 2^1.7

Answers

Answer: You can use a calculator or a mathematical software program to find the value of 2^1.7. Here are the steps:

Enter "2" on your calculator or in the program.

Press the "^" key or find the "power" function in your program.

Enter "1.7" as the exponent.

Press the "=" key or find the "equals" function in your program.

The result should be approximately 3.22173. Therefore, 2^1.7 is approximately equal to 3.22173.

9.
The equation a = 640s gives the relationship between s square miles and a acres. Pam owns 7.5 square miles of farmland. How many acres does she own?


4,800 acres

11.72 acres

1.17 acres

480 acres

Answers

\(a = 640s\)

\(a = 640(7.5)\)

\(a = 4800 \: \)

She owns 4800 acres.

Answer:

4,800 acres

Step-by-step explanation:

Hotah and his 3 friends are each running 1/4 of a 2-mile relay race. How far is each person running?

Answers

Answer:

Each friend is running a half mile.

They are running 1/2 mile.

What are arithmetic operations?

The operations of addition, subtraction, multiplication, division, exponentiation, and modulus are carried out by the arithmetic operators.

They cover the study of numbers, including the order of operations, which are useful in algebra, data handling, and geometry, among other areas of mathematics.

Given Hotah and his 3 friends are each running 1/4 of a 2-mile relay race

total distance covered by them out of 2 miles is

2 x 1/4 = 1/2 miles

Therefore each person runs at 1/2 a mile.

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I insist its B, however D is the teachers answer. What is the answer.

I insist its B, however D is the teachers answer. What is the answer.

Answers

Considering the roots of function f(x), the correct statement is given by:

D. f has exactly two zeros of [0,4].

What are the roots of a function?

The roots of a function are the values of x for which f(x) = 0.

In this problem, we have that:

f(2) = 0, hence x = 2 is a root.f(3) < 0 and f(4) > 0, meaning that between x = 3 and x = 4, there is a root of a function, as to go from negative to positive, it has to pass through f(x) = 0.

For values of x less than 2 on the interval, the function is never negative nor zero, hence there are no roots in that interval and option D is correct.

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Change the decimal to a fraction.
Find the common denominator.
Rename the fraction.
Then, add.

0.25+ 1/8

Answers

Answer:

18.0.25 is the common decimal

but i dont noo the correcy answer

0.25 = 1/4

1/4 + 1/8 = 2/8 + 1/8 = 3/8

37.5 %

what is the gcf for 18x^3 y^2, 9xyz

Answers

Given,

\(18x^3y^2,9xyz\)

To find GCF we will factor constant and variable terms individually,

First factorize 18:

\(18=1,2,3,6,9,18\)

Factors of 9:

\(9=1\times3\times9\)

Now,

\(\begin{gathered} 18=1,2,3,6,9,18 \\ 9=1,3,9 \end{gathered}\)

Now GCF of 18,9 is 9.

GCF of

\(x^3=x,x,x\)

GCF of

Yeahhh i just wanna get this over with so i can go to sleep ​

Yeahhh i just wanna get this over with so i can go to sleep

Answers

Answer:

the answer to this question is 11

How many like terms are in the expression? 14x-14y+7-x+z+2x EEEEEEEEEEEEe

Answers

Answer:

6 Terms

Step-by-step explanation:

Terms- Each of the quantities in a ratio, series, or mathematical expression.

14x

-14y

7

-x

z

2x

There are 6 terms in this expression.

Answer:

3 like terms

Step-by-step explanation:

X, Y, and Z

Suppose a person offers to play a game with you. In this game, when you draw a card from a standard 52-card deck, if the card is a face card you win $2, and if the card is anything else you lose $1. If you agree to play the game, what is your expected gain or loss (in dollars) per game

Answers

The expected loss per game is approximately -$0.31.

The terms we need to consider in this problem are: standard 52-card deck, face cards, and expected gain or loss.
To find the expected gain or loss per game, follow these steps:

1. Determine the probability of drawing a face card.
There are 12 face cards (Kings, Queens, and Jacks) in a standard 52-card deck. So the probability of drawing a face card is \(\frac{12}{52}\), which simplifies to \(\frac{3}{13}\).

2. Determine the probability of drawing a non-face card.
There are 40 non-face cards in the deck (52 cards - 12 face cards). So the probability of drawing a non-face card is \(\frac{40}{52}\), which simplifies to \(\frac{10}{13}\).

3. Calculate the expected gain or loss per game.
Expected gain or loss = (Probability of drawing a face card x gain from drawing a face card) + (Probability of drawing a non-face card x loss from drawing a non-face card)

4. Simplify the equation.
Expected gain or loss = \((\frac{3}{13} (2))  +  (\frac{10}{13} (-1))\)
Expected gain or loss = \(\frac{-4}{13}\)

Your expected loss per game is approximately -$0.31 (rounded to two decimal places).

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Express the triple integral f(x, y, z)dV as an iterated integral in cylindrical coordinates for the given function f and solid region E
Evaluate the iterated integral.
f(x, y, z) = xy ZA 256-x-y? -y E == x + y ? 0

Answers

The triple integral f(x, y, z)dV for the following function f is 256π(256 - x - y)² as an iterated integral in cylindrical coordinates.

In two-dimensional space R2, a point with rectangular coordinates (x, y) can be identified with (r, θ) in polar coordinates and vice versa, where x=rcosθ, y=rsinθ, r2=x2+y2 and tanθ=(y.x) are the relationships between the variables.

In three-dimensional space R3, a point with rectangular coordinates (x, y, z) can be identified with cylindrical coordinates (r,θ,z) and vice versa. We can use these same conversion relationships, adding z as the vertical distance to the point from the x y-plane

According to the question:

The integrated integral in cylindrical coordinates is given by:

∫∫∫f(ρ, θ, z)dV = ∫∫∫xρcos(θ)ρsin(θ)zdρdθdz

Evaluating the integral yields:

∫∫∫f(ρ, θ, z)dV = 256π∫zdz

= 256πz²

= 256π(256 - x - y)²

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Is this unbiased or biased?

The Bernal leadership class is going to sell spirit t-shirts for students and needs to order a color that most students would like to wear, so they ask every fourth student entering the school about their favorite t-shirt color to make a decision about all Bernal students.

Answers

Biased, because some students may not like that color, and thus going off of the most popular opinion is only supporting the most popular color. Adding onto that, not every student even gets to vote since it is only every 4th student.

biased im jus typing random things now because it says i need 20 characters lol

CAN ANYONE PLEASE HELP ME ON THIS!!

CAN ANYONE PLEASE HELP ME ON THIS!!

Answers

Answer:

8. b

9.C

10.a

11.a

12. c

13. b

brainliest pls <3

2(9 + 5k) pls help me

Answers

Answer:

10k + 18

Step-by-step explanation:

Help plz I appreciate it ✌️

Help plz I appreciate it

Answers

Answer:

7/9 * 27/5 = 189/45= (reduced) 4 1/5

7/4 *25/6 = 175/24 (reduced) = 7 7/24

Step-by-step explanation:

for the first turn 5 2/5 into improper fraction  5*5=25 + 2 = 27/5

multiply numerator 7*27= 189

9*5=45 189/45 can be reduced

divide both by 9 = 21/5 then make imxed number 4 and 1/5

Answer:

a) 21/5

b) 175/24

Step-by-step explanation:

a) 7/9 x 5 2/5 = 7/9 x 27/5

7/9 x 27/5 = 189/45 = 21/5 (if you wanted it shortened)

b) 1 3/4 x 4 1/6 = 7/4 x 25/6

7/4 x 25/6 = 175/24

Each row in a classroom has 3 girls and 2 boys. There people 4 rows in that
class. What is the number of students in that class.
I got 20 as my answer is that right?

Answers

Answer:

yep that's right

Step-by-step explanation:

go see

8 is to 1/2 as 3/4 is to x

Does anybody know what x is? I’m

Answers

Answer:

Step-by-step explanation:

the x is 40

If karri takes a 7 question true false test and guess on every question, what is the probability that she gets all 7 questions correct? Answer in decimal form to 4 decimal places.

Answers

I think the answer is 28.5714%

Roger is replacing the liner of a chimney. The length of the liner required is 33 ft. Roger has 400 inches of stainless steel pipe for the liner. Is this enough? Justify your answer.

Answers

Roger has enough stainless steel pipe to replace the chimney liner, with a slight surplus remaining.

To determine if Roger has enough stainless steel pipe for the chimney liner, we need to convert the given measurements to a consistent unit of measurement. Since the length of the liner required is given in feet, we need to convert the 400 inches of stainless steel pipe to feet.

There are 12 inches in a foot, so 400 inches is equal to 400/12 = 33.33 feet (approximately).

Comparing this converted length of the stainless steel pipe (33.33 feet) with the length of the liner required (33 feet), we can see that Roger does indeed have enough pipe. In fact, he has slightly more than required.

Since the length of the liner required is 33 feet and Roger has 33.33 feet of stainless steel pipe available, there is a surplus of approximately 0.33 feet (about 4 inches) of pipe. This additional length is more than enough to cover any potential measurement errors or adjustments needed during the installation process.

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what does this quote mean to you
Challenge and adversity are meant to help you know who you are. Storms hit your weakness, but unlock your true strength.” ― Roy T. Bennett

Answers

Answer:

To me it means that challenges are meant to show your strengths and weaknesses, and that things will challenge your weakness but it ends up making them into strengths.

Step-by-step explanation:

Please help with this bc i need to finish fast thx

Please help with this bc i need to finish fast thx

Answers

the answer is 87.75                  

Find the value of T

Find the value of T

Answers

I think 2.4? I really don’t know and sorry if I got it wrong !! :((

Devon opened a savings account with an initial deposit of $2,750 The balance will eam 6. 5% interest compounded annually He does not deposit any

additional money or make any withdrawals from this account What will his account balance be after 8 years?

Answers

Answer:

22,000

Step-by-step explanation:

What is the scale factor that takes the large triangle to the small triangle?

What is the scale factor that takes the large triangle to the small triangle?

Answers

Step-by-step explanation:

such a scale factor applies to all sides and lines.

we see that DE is 12 units, and AB is 4 units.

so,

12×f = 4

f = 4/12 = 1/3 is the scale factor

control : check the other side

FE = 6 units

6 × 1/3 = 2

so, the corresponding side in the small triangle must be 2 units long.

and indeed, CB is 2 units long. all correct.

The graph of a quadratic function, y=x2, is reflected over the x-axis. Which of the following is the equation of the transformed graph? O y=-x² y=(-x)? V = VFX y=-​

The graph of a quadratic function, y=x2, is reflected over the x-axis. Which of the following is the

Answers

Answer:

Sorry for the late answer but hopefully it helps others. The answer is A

Step-by-step explanation:

y = -x^2

The graph of a quadratic function, y=x² reflected over the x-axis will be y = -x²

Reflection of coordinates over the x-axis

Images that are reflected over each other are mirror images of each other.

Given the coordinates (x, y) reflected over the x-axis, the resulting equation will be (x, -y)

This shows that reflecting the function y = x²over the x-axis will negate the output function.

Hence the graph of a quadratic function, y=x² reflected over the x-axis will be y = -x²

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A binary (categorical) predictor should not be used along with nonbinary (numerical) predictors O True False

Answers

That’s FALSE
Binary predictors behave like any other except they look weird on a scatter plot.

False, a binary (categorical) predictor should not be used along with nonbinary (numerical) predictors

What is a binary operator?

It is important to note that binary and non-binary predictors can both be utilized.

Categorical variables with two possible outcomes, such as yes/no or true/false, are represented by binary predictors. On the other hand, nonbinary predictors indicate numerical variables that can have a variety of values.

It is feasible to capture the links between several sorts of variables and enhance the predictive ability of a model by using both types of predictors. Utilizing methods like logistic regression and

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In a simple regression model, unexplained variation in the response variable is calculatedby summing the squares of errors.

Answers

In a simple regression model, the unexplained variation in the response variable is determined by summing the squares of errors. This method, known as residual sum of squares (RSS), quantifies the discrepancy between the observed values and the predicted values by the regression model.

In a simple regression model, the goal is to find a line that best fits the relationship between a single predictor variable (X) and a response variable (Y). However, due to various factors and sources of variability, the observed values of the response variable may not perfectly align with the predicted values based on the regression line.

The errors, or residuals, are the differences between the observed values and the predicted values. To quantify the unexplained variation, the errors are squared to eliminate negative values and emphasize larger deviations. These squared errors are then summed up, resulting in the residual sum of squares (RSS).

By calculating the RSS, one can assess the amount of unexplained variation or "error" in the regression model. A smaller RSS indicates that the model provides a better fit to the data, as it suggests less unexplained variation. On the other hand, a larger RSS implies a less accurate fit, with more unexplained variation in the model.

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What is the measure of the missing angel?

What is the measure of the missing angel?

Answers

Answer:

28

Step-by-step explanation:

90 - 62 = 28

Answer:

28

Step-by-step explanation:

hence it forms 90degree 90-62=28

For fixed population standard deviation and level of significance, the minimum sample size needed to guarantee a given margin of error ___________- as the margin of error increases.

Answers

For fixed population standard deviation and level of significance, the minimum sample size needed to guarantee a given margin of error decreases as the margin of error increases.

The square root of the variance for the given set of numbers is what the standard deviation examines. It is employed to compute a confidence interval for making judgments (such as accepting or rejecting a hypothesis).

Here, the population standard deviation, and level of significance are the same.

As the margin of error increased.

So, with the increase in the value of the margin of error, there will surely decrease in the value of the sample size

\($$\begin{aligned}&\mathrm{MOE}_\gamma=z_\gamma \times \sqrt{\frac{\sigma^2}{n}}\\&\begin{aligned}\mathrm{MOE} & =\text { margin of error } \\\gamma & =\text { confidence level } \\z_\gamma & =\text { quantile } \\\sigma & =\text { standard deviation } \\n & =\text { sample size }\end{aligned}\end{aligned}$$\)

As the margin of error is in the denominator position in the sample size formula

Hence with an increase in the margin of error sample size decreases.

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Help 15 points!!!!!!!!!!!!!!!!!!!!!

Help 15 points!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:56.63

Step-by-step explanation: Cosx = 11/20

x = invcos(11/20) = 56.63

(make sure calculator is in degrees when solving angles)

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