Use the equation to complete an algebraic proof that proves the answer is x = 7/6. Write your proof in your journal and upload your answer. You will be awarded 5 points for the statements and 5 points for the reasons.

2x+65=4x−3

Answers

Answer 1

Answer:

Step-by-step explanation:

Show that if 3x – 7 = 5, then x = 4.

Here, our given statement is 3x – 7 = 5, and we're asked to prove x = 4.

x=4

Statements Reasons

1. 3x – 7 = 5 Given

2. 3x – 7 + 7 = 5 + 7 Addition of 7 to equation (1)

3. 3x + 0 = 5 + 7 Substitution of –7 + 7 = 0 into (2)

4. 3x = 5 + 7 Substitution of 3x + 0 = 3x into (3)

5. 3x = 12 Substitution of 5 + 7 = 12 into (4)

6. 3x⁄3 = 12⁄3 Dividing equation (5) by 3

7. x = 12⁄3 Substitution of 3x⁄3 = x into (6)

8. x = 4 Substitution of 12⁄3 = 4 into (7)

Is there such a thing as being too descriptive? Yep, and that was it, since over half the proof was devoted to telling the reader how to do arithmetic. We'll typically take numerical computation for granted, and write proofs like this:


Related Questions

How do I solve this?​

Answers

Answer: 2l+2w=48

Subtract 2w from both sides.

2l=48−2w

Divide both sides by 2.

2

2l

=  

2

48−2w

 

Dividing by 2 undoes the multiplication by 2.

l=  

2

48−2w

Divide 48−2w by 2.

l=24−w

Answer:

14centimeters

Step-by-step explanation:

from our equation,

2l + 2w = 48

we know that the width = 10cm

so,

2l + 2( 10 ) = 48

2l + 20 = 48

2l = 48 - 20

2l = 28

divide through by 2

2l / 2 = 28 / 2

l = 14

therefore,

l = 14 centimeters

if you are told to distribute Rs 1,200 among 15 children what mathamatical operation will be used? if you answer this i will put you a brainalist

Answers

Answer:

dividing

Step-by-step explanation:

because dividing is the one and the only method to give 15 children equal money

what's the measure of <4?

Answers

Answer:

The angles of a triangle all add up to 190º, so the answer would be 63º

Step-by-step explanation:

The bottom angle is a right angle; 90º

The top left angle is 37º

So the top right angle must be 63º

Hope This Helps!

Please help quickly! Find the length of the third side. If necessary, write in simplest radical form.

Answers

Answer: [tex]\sqrt{11[/tex]

Step-by-step explanation: pythagorean theorem a^2 + b^2 =c^2

switch it to c^2 - b^2 = a^2

c=6 and b=5

(6)^2 - (5)^2 = 36-25 which is 11

11=c^2. to find c, square root 11. the simplest form for this is just [tex]\sqrt{11[/tex]

AB || DE. Calculate the value of angle x°.​

Answers

Answer:

23 maybe because there is a 90 degree angle

Answer:

sorry sorry for bad hand writing

but u are right it is 153 degree

pls make me brainiliest

Stock in boomer branding inc started the week at $26.50 per share during the week the following changes in the share price were registered

Answers

Answer:33333333333333333333333333333333333

Step-by-step explanation: This isnt the answer i need points

(1-,4) and (1,-1) find the distance between each pair of points

Answers

Answer:

(1,3)

Step-by-step explanation:

Which of the following is written correctly in scientific notation?
11.7 x 104
203 x 10-2
3x75
1.234 x 10-6

Answers

Answer:

it would have tobe the forst option but iy has to be written 11.7 × 10^4

What is the slope of the line represented by the equation y =4/3x-3

Answers

Answer:

m, is equal to (4/3)

Step-by-step explanation:

Match the given equation y =(4/3)x-3 to the standard slope-intercept form y = mx + b.  By doing so we see that the slope, m, is equal to (4/3).

plz help with 10-11 if you don’t mind

Answers

Properties used:

All angles of a triangle add up to 180 degrees

180 is a straight line; so both sides of a straight line add up to 180

10) 180 - 153 = 27

180-27-133 = ?

? = 20 degrees

11) 180-87=93

180-93-23=?

? = 64 degrees

Answer:

11.) Angle FED = 20 Degrees | 12.) Angle FHG=74

Step-by-step explanation:

11.) Angle FED= 20 degrees

one side of a straight line = 180 degrees

all the angles of the insides of a triangle added together = 180 degrees

If angle EDF is 153 degrees, we do 180 - 153 = 27 degrees. Now we know that angle FDE = 27 degrees. Now we add all the angles we have together. 133+?+27=180. (133+27=160) If 160+?=180, we solve it by doing: 180-160, and we get 20.

12.) Angle FHG=74

For this problem, we use the same formulas as before. So let's solve!

180-87=93. So angle GFH=83 degrees.

Now we need to add the angles together:

83+23+?=180. 83+23=106

180-106=74.

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If you like this answer, please click 5 stars and give me brainliest!! Tysm!! (I'm trying to level up)

Original price: $12
Mark-up: 45%
What is the selling price?

Answers

Answer:

The selling price is $17.40

Step-by-step explanation:

x = selling price

x = 12 + 0.45(12)

x = 12 + 5.4

x = 17.4

The final selling price is $17.40.

Percentages are percents of a whole. This means that 45% = 0.45. You can use this to your advangage when solving these types of equations.

Answer:

$17.40

Step-by-step explanation

Find what 45% of 12 is.

You can do this by multiplying 0.45 by 12 which is 5.4

Then you just add 5.4 to 12 which gives you 17.4  

Helps plsss asap!!

Calculate the value of the angles we dealing with corresponding

Answers

Answer:

[tex]2x = 126 \\ x = 126 \div 2 = 63 \\ \\ z = y = x = 63[/tex]

Step 1: Subtract 3 from both sides of the inequality.
Step 2: __________
Step 3: Divide both sides of the inequality by the coefficient of x.

What is the missing step in solving the inequality 5 – 8x < 2x + 3?

Add 2x to both sides of the inequality.
Subtract 8x from both sides of the inequality.
Subtract 2x from both sides of the inequality.
Add 8x to both sides of the inequality.

(anyone want to rp... )

Answers

Answer:

add 8x to both sides

Step-by-step explanation:

BRAINLIEST PLEASE !!

Answer:

Step 1: Subtract 3 from both sides of the inequality.

Step 2: Add 8x to both sides

Step 3: Divide both sides of the inequality by the coefficient of x.

Step-by-step explanation:

Step 1: 2 - 8x < 2x

Step 2: 2 < 10x

Step 3: 1/5 < x

Please help me figure this out, and i need to show my work

Answers

Check the attachment!!

The sum of three numbers is 66. The second number is twice the first and six less than the third. find the numbers

Answers

Step-by-step explanation:

let the 1st number be x

and,

2nd number = 2x

3rd number = 2x + 6

their sum = 66

so, after inserting the values we got

x + 2x + 2x + 6 = 66

5x + 6 = 66

5x = 66 - 6 = 60

x = 60/5 = 12

x = 12

therefore,

1st number = x = 12

2nd number = 2x = 12 × 2 = 24

3rd number = 2x + 6 = 24 + 6 = 30

hope this answer helps you dear...take care and may u have a great day ahead!

I need help. I please ASAP

Answers

-232.5 is the correct answer

please mark brainliest :)

Answer:

-232.5

Step by Step Explanation:

Question 7 = 2 Points
Oct 06, 8:37:22 PM
Samantha has $600 to spend at a bicycle store for some new gear and biking outfits.
Assume all prices listed include tax,
• She buys a new bicycle for $399,95
• She buys 3 bicycle reflectors for $7.01 each and a pair of bike gloves for $34.06.
• She plans to spend some or all of the money she has left to buy new bilding outfits
for $75,88 each
Write and solve an inequality which can be used to determine w, the number of
outfits Samantha can purchase while staying within her budget

Answers

Answer:

See below

Step-by-step explanation:

The budget is $600.

Samantha spends the following amount:

399.95 + 3*7.01 + 34.06 = 455.04

Now, she plans to buy w outfits which cost $75.88 each.

The inequality for this is:

455.04 + 75.88w ≤ 600

Solving this we get:

75.88w ≤ 600 - 455.0475.88w ≤ 144.96w ≤ 144.96 / 75.88w ≤ 1.91

w = 1 is the only integer solution greater than zero

PLEASE I NEED HELP!!!?!?

Answers

Answer:

A, E, and D

Step-by-step explanation:

2x+5+6x^2-4x+3x^4-6x^2+4x^4+7x

Answers

The answer is: 7x^4+5x+5

What is 7^5 equal to

Answers

The answer to 7^5 = 16807

Find the x- and y-intercepts of the graph of — 7x + 8y = 40. State your answers as
whole numbers or as improper fractions in simplest form.

Answers

Answer:

x-intercept is (40/7, 0) and y-intercept is (0, 5)

Step-by-step explanation:

x-intercept ==> y-coordinate is 0 ==> y=0

y-intercept ==> x-coordinate is 0 ==> x=0

because the function is 7x + 8y = 40

when y = 0 ==> 7x = 40 ==> x = 40/7

so the x-intercept is (40/7, 0)

when x = 0 ==> 8y = 40 ==> y = 5

so the y-intercept is (0,5)

If I roll 2 dice, what is the
probability that their total is a
prime number?

Answers

Answer:

The logic is there are six sides to each die, so for each number on one die you can pair with six different numbers on the other die. Therefore, the probability of rolling a prime number on two dice is 15/36, which reduces to 5/12

X/2 -5=20 please give details

Answers

Answer: x=50

how?

[tex]\frac{x}{2}[/tex] - 5= 20 (first ADD 5 with 20 whatever you do on one side you have to do it to the other) so that gives us:

[tex]\frac{x}{2}[/tex]=25 (we see that 2 is being divided by x and we want X alone so the inverse of division is MULTIPLICATION)

25 x 2= 50

therefor the x=50

how do you find the coefficient on a scatterplot?

Answers

Answer:

The correlation coefficient is determined by dividing the covariance by the product of the two variables' standard deviations. Standard deviation is a measure of the dispersion of data from its average. Covariance is a measure of how two variables change together.

On a farm there are dogs and chickens. There are a total of 17 animals and 48 legs. How many chickens and dogs are on the farm

Answers

Answer:

7 dogs and 10 chickens

Step-by-step explanation:

dogs have 4 legs, chickens have 2 legs. 7 dogs which would be 28 legs and 10 chickens which would be 20 legs adds up to 48 legs

Need help Asap thanks

Answers

Answer:

QS, RT

Step-by-step explanation:

All you had to do was know what congruent means and count how many marks are between w and y (it was 5), and then find the letters that also are exactly 5 markers apart.

Simplify the expression.

9m−7m+2m

Answers

Answer:

4m

Step-by-step explanation:

First subtract:

9m-7m=2m

Then add:

2m+2m= 4m

Hope this helps!

Pls mark brainliest if correct:)

Would it be appropriate to display the data with a pie chart?

Answers

Answer:

Its the one right below that

Step-by-step explanation:

Rather than showing how these parts contribute to a whole, they just show the percentages of how many agree in each catagory.

Hope this helps!

Pls mark brainliest if correct:)

Pls help :) need asap :)

Answers

Answer:

Step-by-step explanation:

It is not a function, a vertical line passes through two graphed points.

(-1,3) and (-1,2)

please help me!! Will give Brainly if correct

Answers

Answer:

-1

Step-by-step explanation:

Let's take two points on the line- (0,2) and (2,0).

To find the slope:

[tex]m = \frac{y_2 - y_1}{x_2-x_1}\\m = \frac{0 - 2}{2-0}\\m = \frac{-2}{2}\\m = -1[/tex]

The slope is -1.

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