What is the first step in solving the equation? 2(3k + 1) = 4k + 32

Answers

Answer 1

Answer:

The first step is to expand it to get rid of brackets .

Step-by-step explanation:

The first step, you have to eliminate brackets by expanding :

[tex]2(3k + 1) = 4k + 32[/tex]

[tex]2(3k) + 2(1) = 4k + 32[/tex]

[tex]6k + 2 = 4k + 32[/tex]

Next you have to collect like terms by making the same variable to one side and lastly, solve it :

[tex]6k - 4k = 32 - 2[/tex]

[tex]2k = 30[/tex]

[tex]k = 30 \div 2[/tex]

[tex]k = 15[/tex]

Answer 2

Answer:

Use the distributive Law on the left side of the equation.

Step-by-step explanation:

The first step is to distribute the 2 over the parentheses:

2(3k + 1) = 4k + 32 Distributing:

2*3k + 2*1  = 4k + 3

6k + 2 = 4k + 3

2k = 1

k = 1/2.


Related Questions

Anyone know how to do this??

Answers

Answer:

its square roots

Step-by-step explanation:

you gotta take the "answer" so in this case its 3m with something to the power and the square root of 7, which is 2.6. Then you take 3m and add it to 2.6, which is 5.6m. Then you take 5.6 and take the to the 17th power and do that which is 5.2e+12. You simplify that and thats the answer. I'm pretty sure.

Here are the other 2 !!

Answers

Answer:

number five: 37.065 number six 241

Step-by-step explanation:

FOR NUMBER FIVE:

so for the rectangles, the formula is L * W.   L for length W for width

so 5×3 = 15. and there are 2 rectangles with the same measurment so its

15 + 15 which is 30 (for both rectangles)

and for the circle formula its pi r^2 where pi is 3.14 and r is radius

so 3.14 × 3^2 = 28.26. but since its a quarter of a circle, divide it by four which is 7.065.

so 30 + 7.065 = 37.065

FOR NUMBER SIX:

the area of a triangle formula is b * h ÷ 2 where b is base and h is height

so its 22 * 8 / 2 = 88

and for the trapezoid the formula is [tex]\frac{a+b}{2} h[/tex] where a and b are the bases and h is height

so its[tex]\frac{12+22}{2} *9[/tex] = 153

88+153= 241

hope this helps!! (it took a looonnnggg time. haha!)

Haiiiiii!!!!! My job is to make people HAPPY! So thats exactly what Im gonna do! Whoever writes something nice gets REWARDED :) First comment: Gets Brainliest, a ¨Thanks¨ a Five Star Rate, a special comment and I might even add you as a friend! Second comment: A ¨Thanks¨ a Five Star Rate, and a special comment! Third comment: Five Star Rate, and a special comment! For yall that joined in late, keep up with me next time, and maybe YOU will win! (NO THIS ISNT A SCAM)

Answers

Answer:

You are Amazing and Beautiful. I hope you have the greatest day and be happy and safe always! I don't have much to say but I hope you have an amazing year ahead and be successful always :)

Answer:

I hope everyone is safe during this quarantine. It is times like these where we are better together. We (my family and I) are praying for all those who have been affected or knows someone who has beed affected. Hope everyone is safe and healthy. And thanks to you, I am able to say something nice to those who need to hear it!

Step-by-step explanation:

Andre has a summer job selling magazine subscriptions. He earns $25 each week plus $3 for every subscription he sells. Andre hopes to make at least enough money this week to buy a new pair of soccer cleats. Let n represent the number of magazine subscriptions Andre sells this week.

Answers

Answer: 25 + 3n

Step-by-step explanation:

Hi, the answer is lacking the last part:

Write an expression for the amount of money he makes this week.

So, to answer this we have to write an expression:

The fixed amount that he earns per week (25) plus the product of the amount he earns per subscription (3) and the number of subscriptions sold (n) , must be equal to his weekly earnings.

Mathematically speaking:

25 + 3n

Feel free to ask for more if needed or if you did not understand something.  

Will mark as brainliest if correct

Answers

Answer:

X=0

Step-by-step explanation:

Anything raised to the power of 0 is 1.

Each card in a set of cards has one of the letters from the world mathematics. The cards are shuffled. What is the probability of drawing the letter m

Answers

Answer:

2/11

Step-by-step explanation:

mathematics = 11 letters

P(m) =  number of m's / total

         =2/11

PLEASE HELP!!

Find the value of x and identify the type of polynomial.

A. X = 60; regular pentagon
B. x = 60; regular quadrilateral
C. x= 100; pentagon
D. x= 100; quadrilateral
E. X=85; regular quadrilateral​

Answers

Answer:answer is 100; quadrilateral

Step-by-step explanation:

PLEASE HELP!!


What is the area??

Answers

Answer:

63 plus 14= 77 cm

Step-by-step explanation:

Answer:

63 square cm

Step-by-step explanation:

63+14=77. hope this helps

Which of the following equations have no solutions?
Choose all answers that apply:
A 33x-33=33x+25
B 33x+33=33x+25
C 33x+25=33x+25
D 33x-25=33x+25

Answers

Answer:

Brainliest Please

A, B, D

Step-by-step explanation:

Because if you subtract one of the constants from both sides then you should only have equal variables. In other words, both sides have to be identical in this situation.

33x-33= 33x + 25

33x = 33x + 58 No matter what you make x, the right will be 58 bigger than the right so there is no solution.

33x+33=33x+25

33x+8= 33x nope no solution

33x+25=33x+25

33x = 33x both sides identical so there is a solution

33x-25 = 33x +25

33x= 33x+50

Which set of numbers can represent the side lengths, in inches, of an acute triangle? 4, 5, 7 5, 7, 8 6, 7, 10 7, 9, 12

oof

Answers

Answer:

4 5 7

Step-by-step explanation:

i know it

Answer:

Set B i.e., 5 , 7 , 8 represent the side of acute angled triangle.

Step-by-step explanation:

Given: Set of numbers.

To find: Set that represent sides of an acute angled traingle.

We use the following result:

When given 3 triangle sides then to determine if the triangle is acute angled , right angled or obtuse angled.

First find Square all 3 sides, then Sum the squares of the 2 shortest sides and then Compare the sum to the square of the last side.

if sum > Square of last side ⇒ it is Acute Triangle

if sum = Square of last side ⇒ it is Right Triangle

if sum < Square of last side ⇒ it is Obtuse Triangle  

a). 4  , 5 , 7

4² = 16 ,  5² = 25 , 7² = 49

16 + 25 = 41

∵ 41 < 49

⇒ It is an Obtuse Traingle.

b). 5 , 7 , 8

5² = 25 , 7² = 49 , 8² = 64

25 + 49 = 74

∵ 74 > 64

⇒ It is an acute Triangle.

c). 6 , 7 , 10

6² = 36 , 7² = 49 , 10² = 100

36 + 49 = 85

∵ 85 < 100

⇒ It is an Obtuse Triangle.

d). 7 , 9 , 12

7² = 49 , 9² = 81 , 12² = 144

49 + 81 = 130

∵ 130 < 144

⇒ It is an Obtuse Triangle.

Therefore, Set B i.e., 5 , 7 , 8 represent the side of acute angled triangle.

Solve for g.
9 - g = 2g

Answers

Answer:

g=3

Step-by-step explanation:

9 - g = 2g

+g       +g

9=3g

divide both sides by 3

g=9

In a class of all girls, 22 of the 28 students have brown hair. What is the
probability of randomly picking a girl without brown hair?
Enter your answer in the box below as a fraction in reduced form, using the
slash mark ( 7 ) for the fraction bar.

Answers

Answer:

3/14

Step-by-step explanation:

28-22=6 (the rest of the girls)

6/28 = 3/14 (reduced form)

What is the volume of a cylinder with base radius 333 and height 888?
Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and enter your answer as a decimal.

Answers

Answer:

V≈3.09×108

Step-by-step explanation:

Shape: Cylinder

Solved for volume

Radius: 333

Height: 888

Formula: Radius, Height

Exact answer: V≈3.09×108

Hope this helps.

The volume of the cylinder is = 98,469,432π

Calculation of volume of cylinder

The radius of the cylinder = 333

The height of the cylinder = 888

Therefore the volume is = ?

The formula for the volume of cylinder = πr²h

V = π× 333² × 888

V = π × 110,889× 888

V = 98,469,432π

Therefore, the volume of the cylinder is = 98,469,432π

Learn more about volume here:

https://brainly.com/question/25736513

#SPJ2

What’s the area of this triangle?

Answers

Area = 1/2 x base x height.

Base is 6 units long, height is 7 units long.

Area = 1/2 x 6 x 7 = 21 square units.

The answer is 21
Here’s my work:

Calculators cannot display repeating decimals. Calculators always round. Yuri's calculator displays decimals to 5 places. He uses his calculator to find the decimal equivalent for each of the fractions below. For each number, choose what his calculator will display as the decimal equivalent. Then choose whether or not this is the exact decimal equivalent.

1/9
Calculator display for 1/9:

Is this the exact decimal equivalent?

7/9
Calculator display for 7/9:

Is this the exact decimal equivalent?

9/10
Calculator display for 9/10:

Is this the exact decimal equivalent?

Answers

1/9 = 0.111111111..., No

7/9 = 0.777777...8, No

9/10 = 0.9, Yes

Dividing by a non-factor of 9 by 9 will always result in an infinite decimal, similar to dividing a non-factor of 3 by 3 or a non-factor of 7 by 7.

However, dividing a number by 10 will simply move the decimal one value to the right, so 9.0 divided by 10 is 0.90.

Ok, so i have 506k and I now have 327k. What is the rate of decrease in percent? I'll mark Brainliest!!!​

Answers

Answer:

= 35.3755% decrease

Attached below in the image. There is a 35% decrease.

Solve the given system by substitution.
n=5m
n=2/3 m-13

Answers

Answer:

n = -15         and          m = -3

Step-by-step explanation:

To solve the given system of equation, we will follow the steps below:

n = 5m ----------------------------------------------------------------------------(1)

n = [tex]\frac{2}{3} m -13[/tex] ---------------------------------------------------------------------(2)

substitute for n= 5m in equation (2)

5m =  [tex]\frac{2}{3} m -13[/tex]

subtract [tex]\frac{2}{3} m[/tex] from both-side of the equation

5m -  [tex]\frac{2}{3} m[/tex]  = [tex]\frac{2}{3} m[/tex] -  [tex]\frac{2}{3} m -13[/tex]

At the right-hand side of the equation  [tex]\frac{2}{3} m[/tex]  will cancel-out leaving us with just -13

5m -  [tex]\frac{2}{3} m[/tex]  = -13

[tex]\frac{15m - 2m }{3}[/tex] = -13

[tex]\frac{13m}{3}[/tex] = -13

multiply both-side of the equation by 3

3 ×  [tex]\frac{13m}{3}[/tex] = -13 ×  3

At the left-hand side of the equation 3 will cancel-out 3 leaving is with just 13m

13m = -39

Divide both-side of the equation by 13

13m/13  = -39/13

m = -3

substitute m = -3 in  equation (1)

n = 5m

n = 5 (-3)

n = -15

Therefore, n = -15         and          m = -3

Which of the following are equations
Choose 3 answers
A.60/5=4•3
B.74=2t
C.q-6 D.(r-3)•s=s2
E.9<(3v)(v+1)

Answers

Answer:

A, B, and C

Step-by-step explanation:

an equation has an equal sign (=).

Write 19\15 as a mixed number

Answers

Answer:

1 4/15

Step-by-step explanation:

Answer:

1 2/6

Step-by-step explanation:

What is the product of (3a + 2)(4a2 - 2a + 9)?
12a3 - 2a + 18
12a3 + 6a +9
12a3 - 6a2 + 23a + 18
O 12a3 + 2a2 + 23a + 18

Answers

Answer:

12a^3+2a^2+23a+18

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

please help me! which ones are the right ones , pls and ty

Answers

Answer:

-5/6=-5/-6=- 5/6

- 7/2=-7/-2=-7/2

Step-by-step explanation:

The diameter of a circle is 8 units.What is the radius of the circle? 2 points Your answer Submit

Answers

Hey !!

HERE'S YOUR ANSWER:

Diameter(d)=8 units

radius(r)=8/2=4 units.

So the right answer is 4 units.

Look at the attached picture

Hope it will help you.......

You should divide the diameter by 2 to get the radius. Since the diameter is 8 units here, the radius is 8/2 which is 4 units. So the answer is 4 units.

The central angle of an arc measures 120° The radius of the circle measures 3 cm what is the area of the sector to the nearest hundredth of a square centimeter

Answers

Answer:

The area of the sector should be 9.42[tex]cm^2[/tex] .

Step-by-step explanation:

-The formula for finding the area of a sector:

[tex]A = \frac{Arc}{360} \pi r^2[/tex]

-Next use the arc measure and the radius in order to solve and get the answer:

[tex]A = \frac{120\textdegree}{360\textdegree}\pi 3^2[/tex]

-Solve:

[tex]A = \frac{120\textdegree}{360\textdegree}\pi 3^2[/tex]

[tex]A = \frac{120\textdegree}{360\textdegree}\pi \times3^2[/tex]

[tex]A = \frac{1}{3} \pi \times 3^2[/tex]

[tex]A = \frac{1}{3} \pi \times 9[/tex]

[tex]A = 3\pi \approx 9.424[/tex]

-Round to the nearest hundredth:

[tex]A \approx 9.42[/tex]

Find the surface area of the prism. 5.7 4 3 4

Answers

Answer:

A=166

Step-by-step explanation:

Length: 5

Width: 7

Height: 4

Shape: Rectangle Prism

Solved for surface area

Formula: A=2(wl+hl+hw)

Answer:A=166

Hope this helps.

Jamie took 20 pieces of colored paper and put them in a hat. Eight pieces were red, two pieces were blue, and the rest were green. She pulls a piece of paper out of the hat. What are the chances that the paper is red?

Answers

Answer:

40%

Step-by-step explanation:

8/20=0.40

0.40*100=40

Kevin started his science test at 2{:}34\text { p.M.}2:34 p.M.2, colon, 34, start text, space, p, point, m, point, end text and finished the test 757575 minutes later. Kevin has football practice at 4{:}15 \text{ p.M.}4:15 p.M.4, colon, 15, start text, space, p, point, m, point, end text How much time did Kevin have between the end of the test and the beginning of football practice?

Answers

Answer:

26 Minutes.

Step-by-step explanation:

Kevin started his science test at [tex]2{:}34\text { p.M.}[/tex]

He finished the test 75 minutes later.

Now: 75 Minutes = 1 hr 15 Minutes

2:34 + 75 Minutes

=2:34+1:15

=3:49 P.M.

Kevin finished his test by 3:49 P.M.

Kevin has football practice at 4:15 P.M.

Therefore, the time Kevin had between the end of the test and the beginning of football practice

=4:15 P.M.-3:49 P.M.

=26 Minutes.

PLEASE HELP!! This is due today!! - The polynomial function shown has x-intercepts at x= -2, x=0 and x=1. Identify a possible equation of this function. Giving 15-20 points!!! Pls show work and have a reasonable answer! Thank you :))

Answers

Answer:

f(x)=-x(x+2)(x-1)

Step-by-step explanation:

Becca sells bracelets for $9 each. She has to pay $4.35 for the materials for each bracelet. How much money does she make from each bracelet after she pays herself back for the materials? How much money does becca make from the sale of 15 bracelets?

i am marking brainiest

Answers

Answer:

$4.65$69.75

Step-by-step explanation:

How much money she makes from each bracelet:

9-4.35=$4.65

How much money she makes from the 15 bracelets:

4.65 x 15= $69.75

Answer:

Part 1: 4.65

Part 2: 69.75

Step-by-step explanation:

The first question is "How much money does she make from each bracelet after she pays herself back for the materials?"

To answer that, we must find how much she is selling them for ($9) and subtract the cost of the materials from it ($4.35), which equals 4.65

The second question is How much money does becca make from the sale of 15 bracelets?

In other words, they are only asking for the profit made which means they don't want the materials used cost included. So we can use the answer from before and multiply by 15, so 4.65*15=69.75.

Hope that makes it clear, and good luck with studies :)

What is the median?
–8,977–8,975–8,973–8,972–8,977–8,974–8,973–8,975–8,977–8,972–8,978–8,977–8,979–8,976–8,978–8,976–8,975–8,972

Answers

8,972 is the correct answer to your question

(08.02)
The scores of several classmates on a math test are shown below:
91
points
77
points
90
points
79
points
81
points
85
points
86
points
76
points
75
points
80
points
What is the median score for these students? (4 points)

Answers

Answer:

the median is 80.5

Step-by-step explanation:

first we put them in order

75,76,77,79,80,81,85,86,90,91

the median is the middle number...however, in cases where there are an even number of numbers, ur gonna have 2 middle numbers....so u take the average of those 2 numbers...basically, u add them and divide by 2.

So we have 2 numbers in the middle.....we add them and divide by 2 to get the median.

(80 + 81) / 2 = 161/2 = 80.5 <== the median

Answer:

80.5

Step-by-step explanation:

Other Questions
Suppose 1000 people enter a chess tournament. The champion is determined in such a way that a player is eliminated after one loss and games are played until only one entrant has not lost. (Assume there are no ties.) Required information: The given tournament can be modeled as a full binary tree with the winner of the entire tournament as the root. Which of the following is true for the binary tree?A. Each internal vertex represents the winner of the game played by its two siblings, and there are 1000 leaves, one for each contestant. B. Each internal vertex represents the winner of the game played by its parents, and there are 2000 leaves, two for each contestant. C. Each internal vertex represents the winner of the game played by its parents, and there are 1000 leaves, one for each contestant. D. Each internal vertex represents the winner of the game played by its two children, and there are 1000 leaves, one for each contestant. E. Each internal vertex represents the winner of the game played by its two children, and there are 2000 leaves, two for each contestant. HELP, TELL ME THE DIFFERENCE BETWEEN CONSONACE AND ASSONANCEThese green beans keep me lean. a. onomatopoeiab. assonancec. consonanced. alliteration How did barbarian groups affect the western Roman Empire?Various barbarian groups weakened the empire with a series of invasionsvarious barbarian groups were conquered and became Roman slavesVarious barbarian groups volunteered to become mercenary solo dietsVarious barbarian groups were contracted to protect Roman boarders How do ice and water on the ground affect incoming solar radiation? They filter 22 percent of solar radiation that reaches the surface. They reflect 4 percent of solar radiation that reaches the surface. They absorb 100 percent of solar radiation that reaches the surface. They scatter 5 percent of solar radiation that reaches the surface. What is the term for familiarity with many aspects of a certain culture, including its language, customs, traditions, and beliefs? Which of the following represents the sum of the series below 4+7 The best way to locate a suffix is to look for a word part that...A.) shows the word can be a new word.B.) shows the words central meaning.C.) is added to the end of the word root.D.) is added to the beginning of a word root. (81+18(7)+7)(not decimal form) Which series of transformations results in a figure that is SIMILAR to the original figure. Select all that apply. Translation, Reflection, Rotation Translation, Dilation, Reflection Dilation, Reflection, Rotation Rotation, Rotation, Translation Rotation, Translation, Reflectio You learned about the aptly named enzyme Citrate Synthase. There are more enzymes that count citrate as substrate or product. Compare and contrast two reactions below that each split two carbons from citrate to make oxaloacetate. One catalyzed by the enzyme ATP Citrate Lyase and the second catalyzed by Citrate Lyase. Acetyl-CoA Citrate Oxaloacetate lyase CoA-SH ATP ADP + Pi ATP Citrate Acetate Citrate Oxaloacetate Citrate lyaseWhich of the following is an accurate statement about why ATP is required by ATP Citrate Lyase?a) The hydrolysis of the thioester involving CoA-SH helps split ATP into ADP and Pi. b) The hydrolysis of ATP helps "pay for the formation of a thioester involving CoA-SH. c) The Acetyl-CoA is pulled rapidly away to make lipids so the reaction needs extra energy to make it fast enough to keep up with demand. d) The two carbons of acetate are more energetic than those on Acetyl-CoA and therefore don't need ATP to split them from citrate.e) ATP is required to spit the two carbons from citrate. Please answer correctly !!!! Will mark brainliest !!!!!!!! What is the definition of density O Captain! my Captain! our fearful trip is done;The ship has weather'd every rack, the prize we sought is won;The port is near, the bells I hear, the people all exulting,While follow eyes the steady keel, the vessel grim and daring:But O heart! heart! heart!O the bleeding drops of red,Where on the deck my Captain lies,Fallen cold and dead.O Captain! my Captain! rise up and hear the bells;Rise up-for you the flag is flung-for you the bugle trills;For you bouquets and ribbon'd wreaths-for you the shores a-crowding;For you they call, the swaying mass, their eager faces turning;Here Captain! dear father!This arm beneath your head;It is some dream that on the deck,You've fallen cold and dead.My Captain does not answer, his lips are pale and still;My father does not feel my arm, he has no pulse nor will;The ship is anchor'd safe and sound, its voyage closed and done;From fearful trip, the victor ship, comes in with object won;Exult, O shores, and ring, O bells!But I, with mournful tread,Walk the deck my Captain lies,Fallen cold and dead.In one paragraph of at least three to five sentences, analyze the imagery in the stanza in bold. Identify the mood the author intended to create with this imagery, as well as the connotations used in the diction. Match the terms of this geometric sequence with their term numbers. 5, 10, 20, 40, 80, 160, ...Boxes: [12th term] [nth term] [2nd term] [4th term] [(n-1)th term] [6th term]Terms to be put in boxes: 5*2^4-1, 5*2^2-1, 5*2^12-1, 5*2^n-2, 5*2^6-1 Determine the equation of the line perpendicular to the line y = 8 through the point (4, 2).The line y = 8 is .The line perpendicular to the line y = 8 is .The equation of the line perpendicular to the line y = 8 through the point (4, 2) is . Whats the area of the semi circle Which of the following does NOT present any challenges for a nurse's family? A. Being on call a lot B. Working long hours, weekends, nights, and holidays C. The nurse's vast medical knowledge D. Being offered additional shifts o) x 18x - 19 + 20y - y2, 3)SNG's stock is selling for $15 per share. The firm's income, assets, and stock price have been growing at an annual 15% rate and are expected to continue to grow at this rate for 3 more years. No dividends have been declared as yet, but the firm intends to declare a $2.00 dividend at the end of the last year of its supernormal growth. After that, dividends are expected to grow at the firm's normal growth rate of 6%. The firm's required rate of return is 18%. You should: The planet mercury is shrinking bit by bit, why?