Joey and Nolan are each solving the equation 13x - 42 = 18 - 7x.
Joey's first step was to rewrite the equation as 20x - 42 = 18 while Nolan's first step was to rewrite the
equation as 13x = 60 - 7x.
Who is correctly applying the addition property of equality in the first step of his work?
A. Only Joey
B. Only Nolan
C. Both Joey and Nolan
D. Neither Joey nor Nolan​

Answers

Answer 1

Answer:

First step=13x+7x=18+42

Step-by-step explanation:

13x-42=18-7x

First step

It is to collect like terms of the equation

13x+7x=18+42

20x=60

x=60/20

x=3


Related Questions

x + (-13)= -5 what is the solution to the following equation

Answers

Answer:

Adding 13 to both sides we get x = 8.

Answer:

x = 8

Step-by-step explanation:

x - 13 = -5

x = 8

On a coordinate plane, a horizontal line goes through y = negative 3. Using the graph, determine the value of the slope. What is the slope? -3 0 3 no slope What is true about the graph? All x value are the same All Y values are the same Each X and Y value is different.

Answers

The slope is 0/ No slope.
All Y values are the same

Answer:

The slope is 0/ No slope.

All Y values are the same

Step-by-step explanation

just took a test on it

Q: 3
^Ignore above^

Just help me again please

Answers

Answer:

d. 192 m^2

Step-by-step explanation:

just multiply length and width

HELP PLEASE

X P

0 0.03

1 0.13

2 0.70

3 0.10

4 0.04

Use the probability distribution table to answer the question.


P ( 2 < X ≤ 4)


Enter your answer, as a decimal, in the box.

Answers

Answer:

0.14

Step-by-step explanation:

James went on holiday to America.
The summary table below shows all his expenses during this trip.
Cost in $
Cost in £
Flights
£1,400
Hotel (14 nights)| $105 per night
Wifi (13 days)
$4 per day
I
The exchange rate at the time of James' holiday
was $1.45 to £1
Work out, in £, the total cost of his holiday.

Answers

Answer:

£2,450

Step-by-step explanation:

What we want to do here is calculate the total amount spent on his birthday in £

We already have some costs in pounds, it is the costs not in pounds we are converting.

Flights already in pounds, no conversion

Hotel $105 per night at 14 days

Total here is 14 * 105 = $1470

Wifi cost at $4 per day for 13 days

Total here is 13 * 4 = $52

Total amount spent in dollars alone is $1470 + $52 = $1522

We try and covert this to pounds

$1.45 = £1

$1522 = £x

We simply cross multiply at this point

x = 1522/1.45 = 1049.65 which is approximately £1050

Total amount spent in £ is thus 1050 + 1400 = £2,450

Answer:

£2449.65

Step-by-step explanation:

105 × 14 = $1470

1470 ÷ 1.45 = £1013.79

13 × 4 = $52  

52 ÷ 1.45 = £35.86

£1013.79 +  £35.86 = £1049.65

£1049.65 + 1400.00 = £2449.65

The total cost was £2449.65

The diagram represents the factorization of a2+8a+12. A 2-column table with 2 rows. First column is labeled a with entries a squared, 2 a. Second column is question mark with entries 6 a, 12. First row is labeled a with entries a squared, 6 a. Second row is labeled 2 with entries 2 a, 12. What is the missing number that will complete the factorization? 6 8 12 24

Answers

Answer:

(A)6

Step-by-step explanation:

Given the quadratic expression: [tex]a^2+8a+12[/tex]

We factorize:

[tex]a^2+8a+12=a^2+6a+2a+12\\=a(a+6)+2(a+6)\\=(a+2)(a+6)[/tex]

Therefore, the missing number that will complete the factorization is 6.

Factorizing a² + 8a + 12 into (a + 2)(a + 6), the missing number to complete the factorization is: 6.

What is Factorization?

Factorization can be defined as a process of resolving a product into factors.

Thus:

a² + 8a + 12

a² + 6a + 2a + 12

(a² + 6a) + (2a + 12)

a(a + 6) +2(a + 6)

(a + 2)(a + 6)

Therefore, factorizing a² + 8a + 12 into (a + 2)(a + 6), the missing number to complete the factorization is: 6.

Learn more about factorization on:

https://brainly.com/question/25829061

f function g has the factors (x − 7) and (x + 6), what are the zeros of function g?

A.
-7 and 6
B.
-6 and 7
C.
6 and 7
D.
-7 and -6

Answers

Answer:

B

Step-by-step explanation:

Which statement describes the relationship between x and y? A. As x increases y decreases B. As x increases y increases C. As x increases y increases and then decreases D. As x increases y decreases and then increases

Answers

Its c, as x increases y increases and then decreases

Two statements are given-one labeled Assertion (A) and the other labeled Reason(R). Select the correct answer to these questions from the codes (i), (ii), (iii) and (iv) as given below i) Both A and R are true and R is the correct explanation of the assertion ii) Both A and R are true and R is not the correct explanation of the assertion iii) A is true but R is false iv) A is false but R is true Assertion: Calcium oxide reacts vigorously with water to produce calcium hydroxide, releasing a large amount of heat. Reason: The above reaction is a combination reaction as it gives only a single product.

Answers

Answer:  i) Both A and R are true and R is the correct explanation of the assertion

Step-by-step explanation:

When Calcium Oxide (Quick lime) reacts with water, it is a very rigorous reaction that produces a lot of heat and may even boil the water or burn the skin if it comes into contact with it. The resulting compound is Calcium Hydroxide. The Assertion is therefore true.

A Combination reaction does indeed result in only a single product being created or formed after a reaction. The above reaction is indeed a Combination reaction due to the production of only one Compound being Calcium Hydroxide.

What effect will replacing x with (x+7) have on the graph of the equation y=x2 y = x 2 ? A. slides the graph 7 units right B. slides the graph 7 units down C. slides the graph 7 units left D. shrinks the graph by a factor of 7

Answers

Answer:

C

Step-by-step explanation:

Given f(x) then the graph of f(x + a) is a horizontal translation of f(x)

• If a > 0 then a shift to the left of a units

• If a < 0 then a shift to the right of a units

Thus y = (x + 7)²

represents a shift to the left of 7 units → C

The graph y = x² will slide the graph 7 units left by replacing x with (x+7) thus, the correct option is (C).

How to plot a graph?

In order to plot a graph, we have to substitute all the x's values into a function.

Find out the y's value corresponding to the x's and plot the graph in the coordinate geometry.

By the replacing x by (x + a) in the function y = f(x), the function is going to shift either left or right horizontaly.

1. If a is positive then the graph will slide left of the units.

2. If a is negative then the graph will slide right of the units.

Given that, y = x² is need to replace with y = (x+7)²

Since 7 is positive so the graph will slide 7 units left.

For more information about the graph

https://brainly.com/question/16608196

#SPJ2

Reescreva os números que aparecem na forma de notação cientifica.
1- 12.756.000 m
2- 510.072.000km²
3- 5.973.600.000.000.000.000.000.000kg
4- 7.722.522.000
5- 1.350.000.000.000.000.000
6- 361.800.000km²

Answers

Answer:

1) [tex]1.276 \times 10^{7}\,m[/tex], 2) [tex]5.101 \times 10^{8}\,km^{2}[/tex], 3) [tex]5.974 \times 10^{24}\,kg[/tex], 4) [tex]7.723\times 10^{9}[/tex], 5) [tex]1.350 \times 10^{18}[/tex], 6) [tex]3.618\times 10^{8}\,km^{2}[/tex]

Step-by-step explanation:

(This exercise is written in Portuguese and for that reason explanation will be held in Spanish, which has strong similarities with that language)

La notación científica presenta el siguiente formato:

[tex]x.y \times 10^{n}[/tex]

Donde:

[tex]x[/tex] - Un dígito entero.

[tex]y[/tex] - Dígitos decimales consecutivos.

[tex]n[/tex] - Grado de potencia.

Para cálculos cotidianos se recomienda el uso de tres decimales consecutivos. A continuación, se presentan los números convertidos a la forma de notación científica:

1) [tex]12.756.000\,m[/tex]

El grado de la potencia es siete (7).

[tex]1.276 \times 10^{7}\,m[/tex]

2) [tex]510.072.000\,km^{2}[/tex]

El grado de la potencia es ocho (8).

[tex]5.101 \times 10^{8}\,km^{2}[/tex]

3) [tex]5.973.600.000.000.000.000.000.000\,kg[/tex]

El grado de la potencia es veinticuatro (24).

[tex]5.974 \times 10^{24}\,kg[/tex]

4) [tex]7.722.522.000[/tex]

El grado de la potencia es nueve (9).

[tex]7.723\times 10^{9}[/tex]

5) [tex]1.350.000.000.000.000.000[/tex]

El grado de la potencia es dieciocho (18).

[tex]1.350 \times 10^{18}[/tex]

6) [tex]361.800.000\,km^{2}[/tex]

El grado de la potencia es ocho (8).

[tex]3.618\times 10^{8}\,km^{2}[/tex]

Would the midpoint (2,2) be correct?

Answers

Answer: YES, Its correct.

[tex]M_x=\frac{-6+2}{2}=2\\\\M_y=\frac{-3+7}{2}=2\\\\M=(2,2)[/tex]

Answer:

(-2,2)

Step-by-step explanation:

The midpoint is the middle of the line. So, you can take it step-by-step and look at the individual numbers.

Between -6 and 2, that is 8 spaces. So, the middle would be four spaces from one of those numbers. Therefore, X-COORDINATE = -2

Between -3 and 7, that is 10 spaces. So the middle would be 5 spaces from one of those numbers, Therefore, Y-COORDINATE = 2

So, the midpoint would be (-2,2)

What is the probability of rolling 2 sixes in a row with a single die?

Answers

Answer:

i think it might be 0.5 over 6

Step-by-step explanation:

Answer:

1/36

Step-by-step explanation:

Because there are a total of 36 possibilities when rolling a dice twice (6x6) and out of that there is only one chance to get two sixes

Will anyone be kind enough to answer this

Answers

Answer:

Step-by-step explanation: it should be on quizlet here the points go out fast

Answer:

137

Step-by-step explanation:

for the two triangles

formula=1/2×b×h

=1/2×6×4=12

since there are 2 triangles=12×2=24

for the side rectangles

area=l×b

=7×5=35

since there are 2 rectangles=35×2=70

the rectangle in the middle=7×6=42

now add all of them = 25+70+42=137

Please answer fast its for khan academy

Answers

The first situation is for equation 2
The second situation is for equation 1
The third situation is for equation 3

Please help will mark brainliest

Answers

Answer:

-1/5

Step-by-step explanation:

Dymin had a lot of boxes ready for moving. She went out and
bought seven more boxes. A week later her little brother
destroyed half of them. There are now only 22 boxes left.
How many did she start with?​

Answers

Answer:

37 boxes

Step-by-step explanation:

At first, Dymin had some boxes. Let x be the starting number of boxes.

Then, she bought 7 more boxes. Let y be the new number of boxes that she had.

y = x + 7

Next, her little brother destroyed half of them. It means half of y. So, the number of boxes left is

Number of boxes = y/2

The number of the boxes left is 22 boxes. Then, we can use the equation above.

Number of boxes = 22

y/2 = 22

Substitute y = x + 7 into the equation.

(x + 7)/2 = 22

x + 7 = 44

x = 44 - 7

x = 37

Thus, Dymin has 37 boxes at first.

What is the slope of the line shown below?

A. - 1/2

B. 1

C. -1

D. 1/2

Answers

Answer:

C. -1

Step-by-step explanation:

Slope is: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

We are given the points (1,7) and (3,5).

[tex]m=\frac{5-7}{3-1} =\frac{-2}{2} =-1[/tex]

The slope is -1, and therefore, Option C should be the correct answer.

what does the symbol mean on the image?

Answers

Answer:

Step-by-step explanation:

a) U -----> union

Union  of two sets is the set of all distinct elements that are in A or B

A U B = {8 , 14 , 17 , 16, 9 , 15}

∩ ----------> intersection

Intersection of two sets is the set of all distinct elements  that are in both A and B

A ∩ B = {14,17}

b) A' = {9 , 15 , 16 , 10 , 11 , 12 , 13}

P(A') = 7/10

divide 405 in to the ratio 3:12
give answer in the form ... and ...

Answers

Answer:

81:324

Step-by-step explanation:

3+12=15

405 div 15 =27

3 times 27 = 81

12 times 27 = 324

81:324

Pleease helpthis is my final exam
I want the answer of second question

Answers

Answer:

7

Step-by-step explanation:

as it does that F thing where its equal to it....

Answer:

I wont answer for you, but ill guide you in the right direction

Step-by-step explanation:

Pls help meeeeeeeeeeeeee

Answers

Answer:

5^18 in index form is the answer :)

Step-by-step explanation:

(5^3)^6

In a polynomial like this the rule is that,

(a^m)^n

= a^m*n (multiply the exponents)

So let a be 5

m be 3 and n be 6

5^3^6

= 5^3*6

= 5^18

What is the solution to the division problem below? (You can use long division
or synthetic division.)
2x - 3x2 -5x - 12
X-3
A. 2x2 + x + 4
B. 2x2 + 3x + 4
C. 2x2 + 7x + 4
O D. 2x2 + 5x + 4
SUBMIT

Answers

Answer:

I would say B.

Step-by-step explanation:

I used synthetic division for this, so I'm unsure if this is right. I have yet to learn exponents with it. Here's how I wrote it : 3] 2 -3 -5 -12. I bring down the 2 and multiply it by three to get six. After that, I multiply the sum of it (3) and got 9. I do the same, get -4 and multiply it another time, getting positive 12. I add the twelves together, get zero, and put it together as 2x^2+3x+4.

Hope this helps!

Which equation is rewritten in vertex form

Answers

Answer:

Option (2)

Step-by-step explanation:

Given expression is, y = (x + 3)² + (x + 4)²

By solving this expression,

y = x² + 6x + 9 + x² + 8x + 16

y = 2x² + 14x + 25

y = (2x² + 14x) + 25

y = 2(x² + 7x) + 25

y = 2[x² + 2(3.5x) + (3.5)² - (3.5)²] + 25

y = 2[x² + 2(3.5x) + (3.5)²] - 2(3.5)² + 25

y = 2(x + 3.5)² - 24.5 + 25

y = 2(x + 3.5)² + 0.5

[tex]y=(x+\frac{7}{2})^2+\frac{1}{2}[/tex]

Therefore, Option (2) will be the vertex form.

The top of the circular table has a radius of 16 inches.What is the circumfrence of the tabletop? Use 3.14 for pie

Answers

Answer:

100.48

Step-by-step explanation:

Using the formula : 2pi times the radius, I can plug the radius in and find the circumference. 2 times pi is 6.28, and the radius is 16. 6.28 times 16 =  100.48.

The development of technology _____________.
a. has no effect on the environment
b. depends on people’s needs
c. depends only on our imagination
d. depends on what is learned in school

Answers

Answer:

B

Step-by-step explanation:

depends on peoples needs

The radius of the circle is 4 inches. Which of the following units represents the diameter of the circle?

A. Inches
B. Square inches
C. Cubic Inches
D. None of the choices

Answers

Answer:

Inches

Step-by-step explanation:

Answer: The correct answer is inches because radius and Diameter are always given in a single form unit of measure.

Inches units represents the diameter of the circle.

Please mark brainliest

Hope this helps.

Please help, URGENTTTT
A circle is the collection of points in a plane that are the same distance from a given point in the plane. A. True B. False

Answers

The answer to this question is true
The answer is A. True

Help which expression is equivalent to this one? cuhhhhh.....!!

Answers

Answer:

3^ 6

Step-by-step explanation:

3^-2 * 3^8

We know that a^b * a^c = a^(b+c)

3^(-2+8)

3^ 6

Answer: [tex]3^{6}[/tex]

Step-by-step explanation: Since these two powers have the same base of 3, we can multiply them together by adding their exponents.

So [tex]3^{-2}[/tex] [tex]x[/tex] [tex]3^{8}[/tex] is [tex]3^{6}[/tex].

This idea is called the product rule.

Stanley has drawn a right angle triangle. One side is 14cm and another is 18cm. There are two possible lengths for the third side. What are they?

Answers

It could either be 22.80 or 11.31.

Answer:

2V130 , 8V2

Step-by-step explanation:

If these are cahetus

x^2=14^2+18^2=196+324=520

x=V520=2V130

if 18 is not a cathetus  then

18^2=x^2+14^2

x^2=18^2-14^2

x^2=324-196=128

x=V128

x=8V2

Other Questions
Hot and Cold has annual sales of $847,000, annual depreciation of $47,000, and net working capital of $43,000. The tax rate is 21 percent and the profit margin is 7.3 percent. The firm has no interest expense. What is the amount of the operating cash flow If f(x)=7+4c and g(x) = 1/2x what is the value of (f/g)(5) What document provides the structure for the U.S government por todos lados generally, fortunately, on all sides or word for word point A (-3,-5) and point M is at (-1,-7) what are the coordinates point of be point M is the midpoint off point A and point B how does development occur short answer The budgeted income statement presented below is for Burkett Corporation for the coming fiscal year. If Burkett Corporation achieves the budgeted level of sales, what will be its margin of safety in dollars? Wrong Meds, Again! It was horrible, said the distraught client. No matter how many times I provided the information, no one listened to me. And they obviously didnt listen to each other either, because they used the wrong meds . . . again. Okay, calm down. Now tell me what happened from the beginning, urged Melanie Torrent, the Quality Assurance Manager for Hope Memorial Hospital. I got a call at work saying my father was being taken to the hospital from the nursing home. The nursing home always sends a list of medications with the ambulance, but when I got to the emergency room, they were asking my dad what medications he was taking. Of course my dad told them he wasnt taking any medications and they believed him! Hes sent to the emergency room from a nursing home and they decide its reasonable for him not to be on any medications . . . so of course I corrected him and told them to find the medication list. I dont know whether the ambulance driver forgot to bring in the list, or gave it to the wrong person, or what, but they couldnt find it. My dad must be on 12 different medications so I wasnt sure I could remember them correctly. I called the nursing home and we went over the list with them, and then I gave the handwritten list to the nursing station. In the meantime, my dad was admitted to the hospital and moved to a hospital room. Again, a nurse came in with a computer and asked me to tell them what meds he was talking. I tried to tell them that the emergency room had the list, but she said it would be the next morning before the list got updated online. Nevertheless, the nurse called down to the emergency room and was faxed up the list of medications. Only the fax was unreadable, so they came back to me. It was a few hours before his next meds were due, so I drove over to the nursing home, had them make several legible copies of the meds list and drove back to the hospital. I gave the nurse the list, kept one for myself and posted the other on the bulletin board in my dads room. The nurse thanked me and said shed take care of it at the end of her shift. After a long night at the hospital, I woke up the next morning to see my dad hallucinating. I knew immediately what had happenedtheres a certain drug that he has this reaction to. I ran down to the nurses station and had her look up the medications he had been given. Sure enough, it was there, along with several other medications he should no longer be taking. Turns out, the list was from two years ago when he had last been admitted to the hospital! How could they have made that kind of mistakeusing data from two years ago? That is something well look into. More importantly, has your father been taken off the drug? Yes. And has the medication list been corrected? Yes. And how is he doing today? Fine today, but it could have been more serious and I think you should look into changing your procedures so this doesnt happen again . . . I appreciate you bringing this to my attention. I will speak to the persons involved and I assure you this will not happen again. Hope Memorial prides itself on being a caring and responsible health care provider. Now if youll excuse me, I have another client to see . . . 1. Trace the path of the medication list and denote possible failure points. Construct a process flowchart of the existing process and create a new chart of an improved process. 2. Was the medication error a failure of individuals or a failure of the process? Explain. 3. Think about the different settings, the ambulance, the emergency room, the hospital room, and the nurses station. How is data handled in each scenario? Can the process of recording information be changed so that every one is using the same data? How can the accuracy of the data be assured? 4. Given Melanies reaction, do you think this error will happen again? Why or why not? PLEASE HELP! ITS DUE TODAY! PLEASEEEE Jessica Ulta works as an employee for City Service Credit Union and is responsible for consulting on loans, talking clients through the loan process, and providing loans to members. What type of processes does Jessica primarily work with? A. Business-facing processes B. Industry-specific customer-facing processes C. Customer-facing processes D. Industry-specific business-facing processes What is the significance of a person in having a low resting heart rate? Solve all these math questions and brainliest is yours! First come first valid answer will be brainliest. Include the measurements like cm, ft, m, etc What types of details does fairley use to provide clues about daily life in post war east Berlin A compound contains 34.5% calcium, 24.1% silicon and 41.4% oxygen by mass. What is its empirical formula? What does Juliet speak to her father about before taking the potion? Which explains how the actions of Bernardo de Glvez affected British troops in Florida? In the lab, metabolic poisons can be used to study ATP synthesis and oxygen consumption. Many of these poisons have or have had other uses, from diet aids to animal poisons to antibiotics. Poison Action oligomycin binds to F0F0 and blocks the proton channel cyanide inhibits cytochrome oxidase by reacting with heme a3 trifluorocarbonylcyanide phenylhydrazone (FCCP)(FCCP) increases membrane proton permeability rotenone blocks electron transfer at NADHNADH dehydrogenase (NADQ(NADQ oxidoreductase) bongkrekic acid binds to inwardfacing site of ATPADP translocase Classify the metabolic poisons as electron transport inhibitors, uncoupling agents, ATP synthase inhibitors, or transport inhibitors. Playbill magazine reported that the mean annual household income of its readers is $119,155 (Playbill, January 2006). Assume this estimate of the mean annual household in- come is based on a sample of 80 households, and based on past studies, the population standard deviation is known to be a = $30,000. a. Develop a 90% confidence interval estimate of the population mean. b. Develop a 95% confidence interval estimate of the population mean. c. Develop a 99% confidence interval estimate of the population mean. d. Discuss what happens to the width of the confidence interval as the confidence level is increased. Does this result seem reasonable? Explain. What are the domain and the range of this function?D : _ _ x: _ _ R: _ _ Y: _ _ for a test Please help 3. What were the key differences between the Greek city-states Athens and Sparta? Which is regarded as one of the founding civilizations to use democratic values in government? 4. What led to the transition of Rome from a Republic to an Empire?lm