The incorrect work of a student to solve an equation 2(y + 6) = 4y is shown below.
Step 1: 2(y + 6) - 4y
Step 2: 2y + 8; 4y
Step 3: 2y : 8
Step 4: y = 4
Which of the following explains how to correct Step 2 and shows the correct value of y?
02 should be distributed as 2y + 12, y = 6
should be distributed as 2y + 12; y = 3
The equation should be y + 6 4y after division by 2
D The equation should De
6 = 4y after division by 2; y = 1

Answer:

The best estimate of the proportion of adults who say that the law goes easy on celebrities is 0.7435.

Step-by-step explanation:

Confidence interval concepts:

A confidence interval has two bounds, a lower bound and an upper bound.

A confidence interval is symmetric, which means that the point estimate used is the mid point between these two bounds, that is, the mean of the two bounds.

In this question:

CI is between 0.645 and 0.842. So the best estimate of the proportion is:

(0.645+0.842)/2 = 0.7435

The best estimate of the proportion of adults who say that the law goes easy on celebrities is 0.7435.

Answer:

35 and 7

Step-by-step explanation:

5x + 1x =42

6x=42

x=7

Answer:

Greater number: 35

Smaller number: 7

Step-by-step explanation:

1) Set up system of equations.

Let x = greater number

Let y = smaller number

----------------------------------------------

x + y = 42

x = 5y

2) Solve them using elimination or substitution.

x + y = 42

x - 5y = 0

----------------

6y = 42

y = 42/6

y = 7

3) Substitute the found answer into one of the two equations to find the value of x.

x = 5(7)

x = 35

Therefore, the greater number is 35, and the smaller number is 7.

The group of people who participated in the study's sample survey was chosen at random to participate in it by the national grocery store chain. In this instance, the sample comprises the 1,000 customers from throughout the nation that participated in the survey. They are a segment of the total consumer base that frequents the chain's retail outlets.

The chain randomly surveyed 1,000 customers from around the country. It concluded from the study that 80% of all customers who hopped into the chain's stores were interested in the service. The nationwide grocery store chain randomly selected the participants in the study's sample survey from the general public.

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The domain of the relation of the graph representing a relation where x represents the independent variable and y represents the dependent variable is {−4, −2, 0, 3, 5}.

The domain of a relation is the set of all possible input values (independent variable) for which the relation is defined.

Looking at the given points, the x-coordinates are -4, -2, 0, 3, and 5. So, the possible input values are -4, -2, 0, 3, and 5.

Therefore, the domain of the relation is {−4, −2, 0, 3, 5}.

Hence, the correct option is {−4, −2, 0, 3, 5}.

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Answer:

apr is 500

Step-by-step explanation:

im an idiot sorry for waisting your time

The annual percentage rate is 6.5%.

Given that,

Based on the above information, the calculation is as follows:

\(= (162.50 \times 2 \times 100\%) \div \$5,000\)

= 6.5%

Therefore we can conclude that the annual percentage rate is 6.5%.

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Step-by-step explanation:

3x × 8x- 3x×16

24x -48x

-24x

The compound inequality that represents the range of the actual weight of the object is 125.4 ≤ w ≤ 126.2.

Part A: The absolute value inequality that describes the range of the actual weight of the object is:

|w - 125.8| ≤ 0.4

Part B: To solve the absolute value inequality, we can break it down into two separate inequalities:

w - 125.8 ≤ 0.4 and - (w - 125.8) ≤ 0.4

Solving the first inequality:

w - 125.8 ≤ 0.4

Add 125.8 to both sides:

w ≤ 126.2

Solving the second inequality:

-(w - 125.8) ≤ 0.4

Multiply by -1 and distribute the negative sign:

-w + 125.8 ≤ 0.4

Subtract 125.8 from both sides:

-w ≤ -125.4

Divide by -1 (note that the inequality direction flips):

w ≥ 125.4

Combining the solutions, we have:

125.4 ≤ w ≤ 126.2

The object is 125.4 ≤ w ≤ 126.2.

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Answer:

C.    y = |x + 2| – 3

Step-by-step explanation:

I got this answer correct on Gradpoint

The solution to the system is x = -6 and y = 4.

To solve the system by the addition method, we want to add the equations together in a way that will eliminate one of the variables.

Let's start by multiplying the first equation by -3 to get -3x - 9y = -18, and then add the second equation to it:

-3x - 9y = -18

+ 3x + 4y = -2

-------------

    -5y = -20

Now we can solve for y by dividing both sides by -5:

y = 4

We can substitute y=4 into one of the original equations, say x+3y=6, to solve for x:

x + 3(4) = 6

x + 12 = 6

x = -6

So the solution to the system is x = -6 and y = 4.

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Answer:

Oslo is colder.

Step-by-step explanation:

Which ever one is furthest away from 0.

Think money. Which would you rather be - - 5 dollars in debt or - - 12 dollars in debt? That is the same question you are trying to solve.

You should say that you want to be 5 dollars in debt. That means that Copenhagen is the "warmer" place since it only - 5oC

- 12 degrees is a lot colder. It is much deeper below zero.

Answer:

The coordinates after a dilating the triangle by a factor of 1/2 would be (-1.5, 1.5), (-1.5, 1) and (0.5, -1), respectively.

Step-by-step explanation:

Since we are dilating from the origin of the graph, (0, 0), all we need to do is multiply each vertex by the given scale factor.

Answer:

Step-by-step explanation:

We can use the compound interest formula to find how much money he will have after 4 years:

\(A = P(1 + \frac{r}{n})^{nt}\) ;

where

A= final amount

P= initial amount

r= interest rate

n= number of times interest applied per time period

t= number of time periods elapsed,

so from the given information, we know that 1500 is our initial amount, so P= 1500.

Annual interest means once a year, so n= 1, and the interest rate is 4%, so r= 4% or 0.04

and we are asked to find the amount in his account after 4 years, so t= 4

Now, all we need to do is plug in these values for each of the variables and solve.

\(A= 1500(1+\frac{0.04}{1} )^{(1)(4)}\)

and we get

A= $1,754.79

Answer:

$2.69

Step-by-step explanation:

We can divide the cost in dollars to the gallons of gasoline to find the rate of change.

16.14 / 6 = $2.69

21.52 / 8 = $2.69

24.21 / 9 = $2.69

32.28 / 12 = $2.69

53.80 / 20 = $2.69

This means that each gallon costs $2.69, in other words this is the rate o change.

Best of Luck!

Answer:

Kay bought 18 more cookies than Carmen

Step-by-step explanation:

bc 5 times 18 is 90 and 3 times 36 is 108

Answer:

So the diameter of the pipe with the insulation around it is approximately 18.84 inches / 2 = 9.42 inches.

Step-by-step explanation:

To find the diameter of the pipe with the insulation around it, we can use the formula for the circumference of a circle:

C = 2 * π * r

Where:

· C = circumference of the pipe

· π = the mathematical constant approximately equal to 3.14

· r = the radius of the pipe

Using the given information, we know that the pipe’s diameter is 2.5 inches and that the insulation around the pipe is 0.5 inch thick. Therefore, the radius of the pipe with the insulation around it is:

r = 2.5 inches + 0.5 inch = 3 inches

Plugging in the values:

C = 2 * π * 3

C = 6.28 * 3

C = 18.84 inches

Note that this is only an approximation, as the thickness of the insulation is slightly larger than the diameter of the pipe. To obtain a more accurate result, we would need to use a geometric area formula or a numerical integration technique.

9514 1404 393

Answer:

  y = 2

Step-by-step explanation:

The figure must be flipped top-to-bottom, so the line of reflection must be a horizontal line. Point B must be reflected to itself, so it is on the line of reflection. That means the line of reflection is y = 2.

__

You can draw the line of reflection using any two points that have y-coordinates of 2, for example, (0, 2) and (2, 2).

Buddy it's actually Isosceles Triangle because of the symbols used in the diagram

The total outcomes for the event C: selecting a club card from a standard deck of 52 playing cards = 13

In this question, we have been given an event of a random experiment.

You randomly select one card from a standard deck of 52 playing cards. Event C is selecting a club.

We need to find the total number of outcomes for event C.

Number of cards in a deck = 52

We know that, the number of club cards in the standard deck of cards = 13

Therefore, the total outcomes for the event C: selecting a club card from a standard deck of 52 playing cards = 13

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Answer:

Step-by-step explanation:

Let B be the Boat speed in still water

Let C be the current speed.

7(B - C) = 217

7B - 7C = 217

7B = 7C + 217

         7(B + C) = 413

         7B + 7C = 413

7C + 217 + 7C = 413

                14C = 196

                    C = 14 mi/hr   WOW that a fast stream

7B = 7(14) + 217

7B = 315

 B = 45 mi/hr

Answer:

He can run 8 miles in one hour.

Step-by-step explanation:

We have,

Jose can run 1 1/3 miles in 1/6 of  an hour.

We need to find how far he can run in one hour.

\(1\dfrac{1}{3}\ \text{miles}=\dfrac{1}{6}\ \text{hour}\)

Now using unitary method,

\(1\ \text{hour}=\dfrac{4}{3}\times 6\ \text{miles}\)

or

\(1\ \text{hour}=8\ \text{miles}\)

So, he can run 8 miles in one hour.

Answer:

y = -1/2x - 2

Step-by-step explanation:

If it's parallel, that means that the slope is the opposite of the one in the given equation, meaning that 2 would be flipped and turned negative into -1/2.

Then, fill in the x and y values to get the y-intercept.

1 = -1/2(-6) + b

1 = 3 + b

-2 = b

So your answer is y = -1/2x - 2

Answer:

okay so step by step explanation,

first multiply  7\(x^{2}\) with 5\(x^{2}\) and -\(y^{2}\)

35\(x^{4}\)-7\(x^{2}\)\(y^{2}\)

then do the second one

20\(x^{2}\)\(y^{2}\)-4\(y^{4}\)

take the sum of those,

35\(x^{4}\)+13\(x^{2}\)\(y^{2}\)-4\(y^{4}\)

good luck<3!

2/3 of 35 is 23. Kofi is 23.

The value of e based on the information and the diagram given will be C. 61 degrees.

In Euclidean geometry, an angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.

Angles formed by two rays lie in the plane that contains the rays. Angles are also formed by the intersection of two planes. These are called dihedral angles

It should be noted that since e is on a straight line with 119 degrees, (we know that straight lines are 180 degrees in total), so it’ll be 180 - 119 = 61.

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According to the given graph the correct option that justify it to follow horizontal asymptote concept is option A, C and D.

Define graph property:

In mathematics, a graph is a set of points, called vertices or nodes, that are connected by lines or curves, called edges or arcs. Graphs are used to represent mathematical relationships between objects, data, or concepts. They are a fundamental tool in many fields, including computer science, economics, engineering, social sciences, and more.

Graphs can be represented in a variety of ways, such as a drawing on a piece of paper or a computer screen, or as a mathematical abstraction. Graphs can be directed or undirected, weighted or unweighted, simple or multigraphs, and can have various structures, such as trees, cycles, or complete graphs. They are often used to model networks, such as transportation systems, social networks, or the internet.

What about asymptote?

In mathematics, an asymptote is a straight or curved line that a curve approaches but never touches. In other words, as the curve moves along the x and/or y axis, it gets closer and closer to the asymptote, but never intersects it. Asymptotes are often found in functions that have horizontal or vertical limits that approach infinity or negative infinity.

There are several types of asymptotes, including horizontal, vertical, and slant asymptotes. A horizontal asymptote is a line that the curve approaches as x tends to infinity or negative infinity. A vertical asymptote is a vertical line that the curve approaches as x approaches a certain value, but does not cross. A slant asymptote is a diagonal line that the curve approaches as x tends to infinity or negative infinity, and the degree of the polynomial in the numerator is one more than the degree of the polynomial in the denominator.

According to the given information:

According to the graph f(x) and g(x) both have a horizontal asymptote so, both graphs are exponential functions and they do not through(0,1)

so, both graphs have been shifted and flipped

Hence, option A, B and D are correct.

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While one runner demonstrated dedication and improvement through a personal best time, the other runner's lack of training and absence of a personal best time suggest a more casual or unprepared approach to the race.

In a race between two runners, one of them had a personal best time, while the other runner neither trained nor had a personal best time.

The runner who had a personal best time implies that they had trained and put in effort to improve their performance. A personal best time suggests that they have achieved their highest level of performance in a race. This indicates that the runner has dedicated time and effort to their training regimen, focusing on improving their speed and endurance.

On the other hand, the runner who neither trained nor had a personal best time implies that they did not invest effort in training or actively seek to improve their performance. They may have participated in the race casually or without specific training goals in mind. As a result, they did not achieve a personal best time, indicating that they did not put in the necessary effort to reach their full potential.

In summary, while one runner demonstrated dedication and improvement through a personal best time, the other runner's lack of training and absence of a personal best time suggest a more casual or unprepared approach to the race.

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Equation A1 is:

5x - 8y = 4

Multiplying this equation by 2, we get:

2(5x - 8y) = 2(4)

2(5x) - 2(8y) = 2(4)

10x - 16y = 8

This equation is the same as equation B1, then

2 x Equation A1 → Equation B1

When a line shares a common point with another line, they are callled intersection lines. In some cases, the lines may be on top of each other, thus describing as collinear or on the same line. Lines can also be parallel, coplane (located in the same plane), congruent, etc. Howerer, the best answer for your question is the intersection of the lines.

The answer is intersection lines