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

Lakeside amusement park charges an entry fee plus $1.50 per ticket used to go on the rides. The entry fee is the same amount for everyone. Louisa spent a total of $30.75 on the entry fee plus 15 ride tickets. Click “show your work” below and show calculations to determine how much Louisa paid for the entry fee.

Answers

Answer:

The entry fee is $8.25

Step-by-step explanation:

Total together: $30.75

She bought 15 tickets * $1.50 cost per 1 ticket

= $22.50

$30.75 (total) - $22.50 (price of tickets)= $8.25

In a church, the ratio of adults to children is 10 to 5. If there are 135 people in the church, how many children are there?

Answers

Answer:

45

Step-by-step explanation:

That means in every group of 15, there are 5 children

135 / 15 = 9. So Nine groups of 15. 9 x 5 = 45

If the scale is 3cm to 8 km, what is 5 cm?

Answers

Answer:

Step-by-step explanation:

3 cm=8 km

1cm=8/3 km

5 cm=8/3×5=40/3 =13 1/3 km

ABE is a triangle. Can you use the SSS Postulate or the SAS Postulate to prove ABC = AED

both apply

neither apply

by SSS only

by SAS only

Answers

Answer:

by SAS only

Step-by-step explanation:

1. Line a passes through points (-2, 1) and (2, 9). Write an equation in slope intercept form that is parallel to line a. Show your work.​

Answers

Answer:

The answer is y=ax+9−2a i think

Write the following algebraic expression for this sentence:
"The product of eight and a number squared decreased by 5."

Answers

Answer:

8n² - 5

Step-by-step explanation:

n = 'a number'

The expression is  8x² - 5.

what is expression?

A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation. Let's examine the writing of expressions. The other number is x, and a number is 6 greater than half of it. In a mathematical expression, this proposition is denoted by the expression x/2 + 6.

Given:

The product of eight and a number squared decreased by 5

let the number be x.

product of eight and a number squared

= 8x²

and decreased by 5

= 8x² - 5

hence, the expression is  8x² - 5.

Learn more about expression here:

https://brainly.com/question/14083225

#SPJ2

are the linear expressions equivalent?

2x-3(1.3x-2.5)=5.9x+7.5

3-2(-2.6x+2.1)=5.2x-1.1
d​

Answers

Answer:

not equivalent expressions

Step-by-step explanation:

Expand and simplify both expressions

2x - 3(1.3x - 2.5) - 5.9x + 7.5 ← distribute parenthesis

= 2x - 3.9x + 7.5 - 5.9x + 7.5 ← collect like terms

= - 7.8x + 15

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

3 - 2(- 2.6x + 2.1) - 5.2x - 1.1 ← distribute parenthesis

= 3 + 5.2x - 4.2 - 5.2x - 1.1 ← collect like terms

=  - 2.3

Then the 2 expressions are not equivalent

Answer:

2x-3(1.3x-2.5)=5.9x+7.5

Equivalent Expression

3-2(-2.6x+2.1)=5.2x-1.1

Not Equivalent Expression

Step-by-step explanation:

Solving the first linear expression

2x-3(1.3x-2.5)=5.9x+7.52x-3.9x+7.5=5.9x+7.52x-3.9x-5.9x = 7.5-7.5-7.8x = 0x = 0/-7.8x = 0

Thus, we can say that it's an equivalent expression.

Now Solving the second linear expression

3-2(-2.6x+2.1)=5.2x-1.13+5.2x-4.2= 5.2x-1.15.2x-5.2x = -1.1-3+4.20 ≠ 0.1

Thus, we can say that it's not an equivalent expression.

Can someone help me please ?

Answers

Answer:

-4[tex]y^{5}[/tex]

Step-by-step explanation:

-8[tex]y^{10}[/tex]/2[tex]y^{5}[/tex] = -8/2 * [tex]y^{10 - 5}[/tex]

               = -4[tex]y^{5}[/tex]

it won't let me answer all the word's all i can give is: 8/2 = -8/2 *

              = -4

4.51 - 2.7 MARKING BRAINLIEST AND PLEASE EXPLAIN:)

Answers

Answer:

1.81

Step-by-step explanation:

becase 4.51 -2.7 equls 1.81 its kinda simple

Answer:

Answer is 1.81

Step-by-step explanation:

The way you get this is by subtracting normally.⤵⤵⤵

[tex] \: \: \: \: 4.51 \\ \frac{ - 2.70}{} [/tex]

1 - 0 = 1

Since you can't subtract 7 from 5 you have to carry over from the next number (4). Take from 4, that leaves 3 in its place, and now you got an extra 1, so you can subtract 7 from 15 to get 8. Now subtract 2 from that 3 to get 1. That's how you get the answer 1.81 .

It's basically a normal subtraction problem, you just have to Remember to put the decimal point in the right place.

Hope this helped :)

Solve for x: 16 = x + 32

Answers

Answer:

-16

Step-by-step explanation:

Use everyone's favourite thing: ALGEBRA!!!

16=x+32

16-32=x

-16=x

Hope that helps

Step-by-step explanation:

16=x+32

16-x=32

-x=32-16

-x=16

X=-16

Liam and Andrew are working in the lab with a scalpel. Since they are working with a sharp object they should make sure to -
A. know the location of the eye wash station.
B. avoid wearing baggy clothes that can catch on fire.
C. always cut towards themselves.
D. wear proper safety gear like goggles and gloves.

Answers

The answer is

D.wear the proper safety gear like goggles and gloves.

Someone plz help me :(

Answers

Answer:

the answer is c :)

Step-by-step explanation:

The location of the vertex Q after the dilation is (-2,-2). What is the location of vertex M after the dilation?

Answers

The location of vertex M after the dilation by a factor of 1/4 is at (-4, 3)

Dilation is a way of moving an object from a point on a plane to another location.

From the diagram attached, the coordinate of the vertex Q is at (-8, -8).

If the vertex Q after the dilation is (-2,-2), this means that the original coordinate is dilated by a factor of 1/4.

The vertex of coordinate M from the diagram is (-16, 12). Dilating the coordinate using a scale factor of 1/4 will give;

M' = (-16/4, 12/4) = (-4, 3)

Hence the location of vertex M after the dilation is at (-4, 3)

Learn more here: https://brainly.com/question/22137320

help pls
what is the slope intercept of (3,5) and (2,1)

Answers

M=1-5/2-3=-4/-1=4
M=4
(3,5)
5=2(3)+b
5=6+b
b=-1

Evaluate the expression for y = 2. Simplify your answer.

4/y=

Answers

=2 all u have to do is divide 4 by 2

EMMA CHNAGED £500 INTO RAND BEFORE GOING ON HOLIDY TO SOUTH AFRICA THE RATE OF EXCHANGE AT THE TIME WAS £1=10-RAND.HOW MANY RAND DID HE GET FOR HIS £500?

Answers

Answer:

he got 5000 rands for it

Step-by-step explanation:

you multiply it

500 x 10 = 5000

please help me find " What does the rate of change indicate about the context?"

Answers

Answer:

Rate of change is used to mathematically describe the percentage change in value over a defined period of time, and it represents the momentum of a variable. ... Subtract one and multiply the resulting number by 100 to give it a percentage representation.

a) 7x^2-7=0
b)x^2-x=0
c)5x-15=0
d)x^2-4x+4=9.(x-2)
e)3(x+3)-x^2-3x=0

Answers

Answer:

[tex]a)x = 1 \\ x = - 1 \\ b)x = 1 \\ x = 0 \\ c)x = 3 \\ d)x = 11 \\ x = 2 \\ e)x = 3 \\ x = - 3[/tex]

domain of (3,4) (-1,5) (-9,0) (3, -2) and range. And is it a function?

Answers

Answer:

Domain = 3,-1,-9,3

Range = 3,5,0,-2

Not a function

the sum of the measures of the angles of all triangles is 180 degrees.if one angle of the triangle measures 45 degrees,and other two angles are equal.what is the measure of the other two angles?

Answers

Answer:

67.5 degrees.

Step-by-step explanation:

Let the measure of two equal angles of the triangles is x.

Thus, the angles of the triangles are x, x and 45 degrees.

Answer:

67.5°

Step-by-step explanation:

Given:

All triangles is 180°

One Triangle measure 45°

2 Other Angles are equal

To Find:

Two Other Angles

Solution:

180°- 45° = 135°

135° ÷ 2 = 67.5°

Therefore the other two angles are 67.5°

Someone please help me with this problem! Will mark brainliest!

Answers

Answer:

I need a question, then I will help

Step-by-step explanation:

Where is the question at, I can help you with it easy.!

Determinen las medidas algebraicas necesarias para calcular el área del hexágono

Answers

Answer: i cant understand that laugaue so hopefully u do well sorry

Step-by-step explanation:

A line has a slope of -2/3 and passes through the point (-3, 8). what is the equation of the line ?

Answers

Answer:

y = -2/3x + 6

Step-by-step explanation:

replace the coordinates in the equation

y= mx + c

y= 8

x= -3

8= -2/3 (-3) + c

c + 2 = 8

c = 8 - 2

c = 6

y= -2/3x + 6

HELP WITH ANGLES AGain LOL

Answers

Answer: 180
Explanation: just ask me for it

Allison is going to the post office to buy 34cent stamps and 3 cent adjustment stamps. Since the current postage rate is 49 cent she will need 5 times as many 3 cent adjusment stamps as 34 cent stamps. If she has $12.25 to spend, what is the largest number of 34 cent stamps she can buy?

Answers

Determine the largest number of 34 cent stamps she can buy

The largest number of 34 cent stamps she can buy is 30

Given:

Total money = $12.25

let

x = 34 cent stamp

y = 3 cent stamp

34 cent stamp = 5 × 3 cent stamp

x + y = 0.49

x = 5y

0.34x + 0.3y = 12.25

0.35(5y) + 0.3y = 12.25

1.75y + 0.3y = 12.25

2.05y = 12.25

y = 12.25/2.05

y = 5.9756097560975

approximately, y = 6

Recall,

x = 5y

x = 5(6)

x = 30

Therefore, the largest number of 34 cent stamps she can buy is 30

Read more:

https://brainly.com/question/7852538

In 2005 Richard earned £22,000 per year.
In 2015 Richard earned £31,900 per year.
Express this as a percentage increase.

Answers

It’s 45%

Explanation = 31900-22000/22000 • 100 = 45%

5 hundred millions, 4 millions, 6 thousands, 2 tens
>
504,060,020 ?

Answers

Answer:

5 hundred millions, 4 millions, 6 thousands, 2 tens = 504,006,020

Step-by-step explanation:

504,060,020 > 5 hundred millions, 4 millions, 6 thousands, 2 tens

                                                                                      (504,006,020)


What is the slope-intercept form of the linear equation 2x + 3y = 6?
Drag and drop the appropriate number, symbol, or variable to each box.
1. х
2. y
3. 6
4. 3
5. -1
6. 2
7. 3
8. 6
9. +
10. 1
11. 2.
12. 3
13. 4
14. 5


I need the 6 that go in the boxes

Answers

Answer:

slope is -2/3

Step-by-step explanation:

[tex]3y = - 2x + 6 \\ y = \frac{ - 2}{3} x + 2[/tex]

Find the slope of (2 , -7 ) and ( -1 , 6 )


A. 4

B. -6

C. -1/6

D. 6

Answers

Answer:

-13/3

Step-by-step explanation:

y2 - y1 / x2 - x1

6 - (-7) / -1 - 2

13 / -3

= -13/3

Hello !

Answer:

[tex] \boxed{\sf None \: of \: the \: options \text{:} \: \: m =- \dfrac{13}{3}} [/tex]

Step-by-step explanation:

The slope m of a line passing through two points can be calculated using the following formula:

[tex] \sf m = \dfrac{rise}{run} = \dfrac{\Delta y}{\Delta x} = \dfrac{y_2 - y_1}{x_2 - x_1} [/tex]

[tex] \\ [/tex]

Let (x₁ , y₁) = (2 , -7)

Let (x₂ , y₂) = (-1 , 6)

Substitute these values into our formula:

[tex] \sf m =\dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{6 - (-7) }{-1 - 2 } = \dfrac{13}{-3}\\ \\ \implies \boxed{\sf m = -\dfrac{13}{3}} [/tex]

Have a nice day ;)

answer to me this question​

Answers

Step-by-step explanation:

[tex]3 \frac{1}{2} - 4 \frac{3}{4} = \frac{7}{2} - \frac{19}{4} = \frac{14}{4} - \frac{19}{4} = - \frac{5}{4} [/tex]

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