Solving Equations with the Variable on Each Side
Justify each step.
a.
b.
1. 4k-3=2k + 5
4k-3-2k= 2k +5 - 2k
2k-3 = 5
2k-3+3=5+3
2k=8
2k_8
2 2
k=4
C.
d.
e.
f.

Answers

Answer 1

Answer:

See below

Step-by-step explanation:

4k - 3 = 2k + 5                      Given

4k - 3 -2k = 2k + 5 - 2k         Addition (added -2k to both sides )

4k - 2k - 3 = 2k - 2k + 5        Commutative  (changed the order of the terms)

2k - 3 =  0 + 5                         Addition/ Identity

 2k - 3 = 5                               Addition

 2k - 3 + 3 = 5 + 3                 Addition (added 3 to both sides)

  2k + 0 = 8                            Addition

  2k =  8                                 Identity


Related Questions

Determine how many centimeters are in 1 yard if there are 2.54 centimeter per inch and 3 feet in a yard.

Answers

Answer:

91.44 cm

Step-by-step explanation:

2.54 x 12 = 30.48 cm per foot

30.48 x 3 = 91.44cm

Tori, Brielle, and Abby, go shopping together. Together they spend $215. Brielle spends twice as much as Tori, and Abby spends one dollar less than three times what Tori spends. How much did each girl spend?

Answers

Step-by-step explanation:

Tori + Brielle + Abby = 215

Give Tori spends x.

Brielle ; 2x and Abby ; 3x - 1

so

x + 2x + 3x - 1 = 215

6x - 1 = 215

6x = 216

x = 36

Tori spends $36 Brielle spends $72 and Abby spends $107.

please give me a brainliest answer

a pole that is 3.3m tall casts a shadow that is 1.77 m long. at the same time , a nearby tower casts a shadow that is 38.5 m long. how tall is the tower? round your answer to the nearest meter​

Answers

Answer:

21m

Step-by-step explanation:

First, divide 38.5 by 3.3.

Then, multiply that number by 1.77.

You will get 20.65...

Rounded, you will get 21 because .65 is bigger than half of one.

-kiniwih426

BEST ANSWER WILL GET BRAINLIEST. Consider the table below. For what value of x does f(x)=-1f(x)=−1 ?

Answers

The correct answer would be 3. f(x) = -1, so you got to find the -1 in the y row of the table and just say that x =3 if y =-1.

Answer:

x = 3

Step-by-step explanation:

The question is asking for which value of x gives -1

You don't have an equation, however you do have a table of values

Y is similar to f(x) in the sense that it is the output, while x is the input.

All you must do is see where y = -1, this is the same for when f(x) = -1

So, there is only one moment where y = -1, which is when x = 3

With this, we can conclude that for the value of x = 3, f(x) = -1

Solve the problem based on the picture

Answers

Step-by-step explanation:

those are the x values in the graph above

now the slope

first, find the derivative = (-2*x)/(9+(6*x^2)+x^4)+(50*Cos(x))/(3+x^2)+((-100*x)*Sin(x))/(9+(6*x^2)+x^4)

then substitute the X values

the slope at first point=0.00214262528

the slope at secondpoint=0.29521512101

the slope at the third point=0.29521512101

Determine which is the better buy.
4 gallons of oil for 9.16$ or 11 gallons of oil for 25.30$

HELP ME PLS

Answers

Answer:

4 gallons of oil for $9.16

Step-by-step explanation:

[tex] \frac{4}{9.16} = \frac{1}{x} [/tex]

[tex]4x = 9.16[/tex]

x = $2.29

[tex] \frac{11}{25.30} = \frac{1}{x} [/tex]

11x = 25.30

x = $2.30

What is the easiest way to solve 5-x=10 whilst showing working out​

Answers

Answer is X equals to negative five x=-5

Surface of a rectangular prism15 cm depth6 cm width7.5 cm height

Answers

Answer:

675 is the surface rectangle

Step-by-step explanation:

multiple the depth width and height together

what is 3.26% of 1298

Answers

Answer:

42.3148

Step-by-step explanation:

3.26% of 1298

3.26/100*1298

42.3148

The table shows the number of miles 3 runners ran last week. Order the numbers from least to greatest. Which runner ran the farthest? How do you know

Answers

If you edit the question or repost I can answer if you provide an image! :D

Answer:

Step-by-step explanation:

The order of the decimals are 15.03, 15.2, then 15.25. Casey ran the farthest. (Casey is 15.25) I hope this helps you even though this was 2 weeks ago. :>

Which fraction is equal to
2/8
A. 1/4
B. 2/4
C. 3/4
D. 6/4
E. 4/8

Answers

Answer:

a

Step-by-step explanation:

because if you divide 8 by 2 the number 2 goes into 8 4 times so 4 divided by 1 is 4 because 1 goes into 4 4 times

Answer:

a

Step-by-step explanation:

half the fraction

8%2=4

2%2=1

1/4

Please help !!! Aspen scored no fewer than 18 points in her
last basketball game. She scored 6 points on free
throws that are worth 1 point each. The rest of
the points she scored on 3-point field goals.
Which inequality can be used to
determine, p, the number of 3-point field
goals that Aspen made?

Answers

Inequalities are used to represent unequal expressions.

The inequality is: (c) [tex]\mathbf{3p + 6 \ge 18}[/tex]

The given parameter is:

[tex]\mathbf{Free = 6}[/tex]

Represent the number of 3-point field goals with p.

So, the total number of points is:

[tex]\mathbf{Total = 3 \times p + Free}[/tex]

[tex]\mathbf{Total = 3 p + Free}[/tex]

Substitute 6 for Free

[tex]\mathbf{Total = 3 p + 6}[/tex]

He scored no fewer than 18 points, means that:

He scored 18 or more points

So, the inequality is:

[tex]\mathbf{Total = 3 p + 6 \ge 18}[/tex]

Rewrite as:

[tex]\mathbf{3p + 6 \ge 18}[/tex]

Hence, the correct option is (c)

Read more about inequalities at:

https://brainly.com/question/11612965

It is roughly 5,900 miles to fly from Denver to Rio de Janeiro. If it takes the airplane roughly 12 hours to reach its destination of Rio de Janeiro, what was the average speed of the airplane in feet per hour?

Answers

Answer:

I think I know !

Step-by-step explanation:

which expression is the additive invers of -5/8
A. 8/5
B.5/8
C. -5/8
D. -8/5

Answers

Answer:

c because it came by its formula

the inverse of negative is positive, so given that
you can see that -5/8 is negative
so the only one which is the opposite is b
5/8

it’s the same thing just in the inverse

Evaluate:
[tex] log_{\sqrt{3} }(729) \\ [/tex]
Give answer please..

Answers

[tex] \large\underline{\sf{Solution-}}[/tex]

Given Logarithmic expression is

[tex]\rm \longmapsto\: log_{ \sqrt{3} }(729) [/tex]

Let first factorize 729

[tex]\begin{gathered}\begin{gathered}\begin{gathered} \:\: \begin{array}{c|c} {\underline{\sf{3}}}&{\underline{\sf{\:\:729 \:\:}}}\\ {\underline{\sf{3}}}& \underline{\sf{\:\:243 \:\:}} \\\underline{\sf{3}}&\underline{\sf{\:\:81\:\:}} \\ {\underline{\sf{3}}}& \underline{\sf{\:\:27 \:\:}} \\ {\underline{\sf{3}}}& \underline{\sf{\:\:9\:\:}}\\\underline{\sf{}}&{\sf{\:\:3 \:\:}} \end{array}\end{gathered}\end{gathered}\end{gathered}[/tex]

So,

[tex] \purple{\rm \longmapsto\:729 = 3 \times 3 \times 3 \times 3 \times 3 \times 3}[/tex]

[tex] \purple{\rm \longmapsto\:729 = {3}^{6} }[/tex]

[tex] \purple{\rm \longmapsto\:729 = {( [{ \sqrt{3} ]}^{2}) }^{6} }[/tex]

[tex] \purple{\rm \longmapsto\:729 = {( \sqrt{3} )}^{12}}[/tex]

So,

[tex]\rm \longmapsto\: log_{ \sqrt{3} }(729) [/tex]

can be rewritten as

[tex]\rm \:  =  \: log_{ \sqrt{3} }( {( \sqrt{3}) }^{12} ) [/tex]

We know,

[tex] \purple{\rm \longmapsto\:\boxed{\tt{ log_{a}( {a}^{x} ) \: = \: x \: }}}[/tex]

So, using this identity, we get

[tex]\rm \:  =  \: 12[/tex]

Hence,

[tex] \green{\rm\implies \:\boxed{\tt{ \: \: log_{ \sqrt{3} }(729) \: = \: 12 \: \: }}}[/tex]

I’m not sure but
1.66992439152



An ant moves at 14 cm a min. How many minutes will it take him to travel 10 points
364 cm? What is the time ? (Write your answer in "t=" form)

Answers

Answer:

26 minutes/ t=26

Step-by-step explanation:

F) c=14t

S) 364=14t

E) t=26

Help me with this pls!!!

Answers

I believe it would be 2.50!

can someone please explain this

Answers

Answer:

11) is a

12) all answers are incorrect just put b

Step-by-step explanation:

Answer:

あなたをあきらめるつもりはありません

リック・アストリーの歌

Step-by-step explanation:私たちは愛する見知らぬ人ではありません

あなたはルールを知っています、そして私もそうです

完全なコミットメントは私が考えていることです

あなたは他の人からこれを取得しないでしょう

気分を伝えたいだけです

お奨めはあなたに理解させる

あなたをあきらめるつもりはありません

決してあなたを失望させるつもりはありません

走り回ってあなたを捨てるつもりはない

泣かせないで

さよならを言うつもりはない

嘘をついてあなたを傷つけることは決してない

私たちは長い間お互いを知っていました

あなたの心は痛んでいますが、あなたはそれを言うには恥ずかしがり屋です

内部では、私たち二人は何が起こっているのかを知っています

私たちはゲームを知っていて、それをプレイするつもりです

そして、あなたが私にどのように感じているか尋ねれば

あなたが盲目すぎて見ることができないと私に言わないでください

あなたをあきらめるつもりはありません

決してあなたを失望させるつもりはありません

走り回ってあなたを捨てるつもりはない

泣かせないで

さよならを言うつもりはない

嘘をついてあなたを傷つけることは決してない

あなたをあきらめるつもりはありません

決してあなたを失望させるつもりはありません

走り回ってあなたを捨てるつもりはない

泣かせないで

さよならを言うつもりはない

嘘をついてあなたを傷つけることは決してない

決して与えるつもりはない、決して与えるつもりはない

(あきらめて)

私たちは長い間お互いを知っていました

あなたの心は痛んでいますが、あなたはそれを言うには恥ずかしがり屋です

内部では、私たち二人は何が起こっているのかを知っています

私たちはゲームを知っていて、それをプレイするつもりです

気分を伝えたいだけです

お奨めはあなたに理解させる

あなたをあきらめるつもりはありません

決してあなたを失望させるつもりはありません

走り回ってあなたを捨てるつもりはない

泣かせないで

さよならを言うつもりはない

嘘をついてあなたを傷つけることは決してない

あなたをあきらめるつもりはありません

決してあなたを失望させるつもりはありません

走り回ってあなたを捨てるつもりはない

泣かせないで

さよならを言うつもりはない

嘘をついてあなたを傷つけることは決してない

あなたをあきらめるつもりはありません

決してあなたを失望させるつもりはありません

走り回ってあなたを捨てるつもりはない

泣かせないで

さよならを言うつもりはない

find the value of :[5x+y+z][5x+y+z][5x+y+z]

Answers

Answer:

Step-by-step explanation:

(a + b + c)³ = a³ + b³ + c³ + 3a²b + 3a²c + 3ab² + 3cb² +3 ac² + 3bc² + 6abc

a = 5a  ;  b =y   ; c = z

(5x + y + z)(5z + y + z )(5z + y +z) = (5x + y +z)³

= (5x)³ + y³ +z³ + 3(5x)²y + 3(5x)²z + 3(5x)*y² + 3*z*y² + 3*5x*z² + 3*y*z² + 6*5x*y*z

= 125x³ + y³ +z³ + 3*25x²y + 3*25x²*z + 15xy² + 3zy² + 15xz² + 3yz² + 35xyz

= 125x³ + y³ + z³ + 75x²y + 75x²z + 15xy² + 3zy² + 15xz² + 3yz² + 35xyz

Solve the equation by factoring.
x2 – 64 = 0

Answers

Answer:

x=32

Step-by-step explanation:

x2 -64 = 0

    +64 = +64

x2=64

x2/2 = 64/2

x = 32

hope this helps.

Help me!
A 180
B 115
C 65

Answers

Answer:

ik this

Step-by-step explanation:

i believe its 180

Answer: B) 115

Step-by-step explanation: i hop this help if not sorry :(

Find the slope of the line that passes through each pair of points. Expressed as a fraction in simplest form. (8,2),(8,-1)

Answers

Answer:

x = 8

Step-by-step explanation:

The explanation are the pictures. I hope I gave you the correct answer.

My slope is 15/3. How do I use the y=mx+b formula if the slope is a fraction?

I’m very new to this so I’m struggling quite a bit

Answers

That's fine , fraction is a number . Just use it as any number .

you want simplify the slope first

15/3=5

and insert

y=5x+b

if its lets say 1/3

y=1/3x+b

Hope this helped

Problem:
Report Error
On Tuesday, a radio store reduces all of its prices by 20% from what they were on Monday.
On Wednesday, the store again reduces all of its prices by some percentage from what they were on Tuesday. If the resulting price of a radio is half of the original Monday price,
then by what percentage did the store reduce its prices from Tuesday to Wednesday?

Answers

Answer/Step-by-step explanation:

Call Monday's price, P

Tuesday's price must just be .80P   [ 20% reduction]

Call Wednesday's price reduction ( 1 - R)

So...we have that

Tuesday's price  *  Wednesday's reduction  = (1/2)P

(.80)P  *( 1 - R)  = (1/2)P    divide through by  P  and note that 1/2  = .50

.80 (1 - R)  = .50        divide both sides by .80

1 - R  =  .50/.80

1 - R  = 5/8

1 - 5/8 = R

3/8   = R = .375  = 37.5%  = the reduction from Tues. to Wed.

Proof of this...let Monday's price  = 100

Tuesdays price  = .80 * 100   = 80

Wed price  = 80 (1 - R)  = 80 (1 - .375)  = 50 =  half of  Mon. price

A stray dog ate 4 of your muffins. That was 2/9 of all of them! How many are left?

Answers

Answer:

14muffins are left. please give brainliest

Step-by-step explanation:

so first we need to figure out how many there are in total so if 4 muffins is 2/9 so every 2 muffins is 1/9 so we need 9x2 wich is 18 so there are 18 muffins in total but the stray dog ate 4 of them so 18-4 is 14 so the answer is 14muffins are left.

PLEASE HELP
What is the y-intercept for line c?

Enter your answer in the box.

Answers

Answer:

-5

Step-by-step explanation:

Patulong naman po need kona po ngayun to

Just zoom if you don't clearly see it
THANK YOU ​​

Answers

1.d

2.d

hope it helps

...............

Bryan went to the hardware store and bought 5 identical copper pipes. When Bryan lined up the pipes end-to-end, the line was 1 meter long. How long was each pipe?

Answers

Answer:

hhehehehehheehehe

Step-by-step explanation:

hehehehehhee

guys pls help me!!!!!!

Answers

Answer:

56 degrees

Step-by-step explanation:

Answer:

X 56 Y 56

Step-by-step explanation:

because 180-124=56

determine the values of a,b and cfor the quadratic equation 3x2-5x+6=0

Answers

Answer:  a = 3; b = - 5; c = 6

Step-by-step explanation:

ax² + bx + c ≡ 3x² - 5x + 6

∴  a = 3

   b = -5

   c = 6

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