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.
2x+65=4x−3

Answers

Answer 1

Answer:

x=7/6

Step-by-step explanation:

subtract the 4x from both sides of the equation

(2x+6)-4x=4x-3-4x

find common denominator

(2x+6)/5+(5(-4)x)/5=4x-3-4x

then combine fractions

(2x+6+5(-4)x)/5=4x-3-4x

then multiply the 5&4

(2x+6-20x)/5= 4x3-4x

combine terms

(-18x+6)/5= -3

then multiply everything by 5

-18x+6= -15

subtract the 6 from both sides

-18x= -21

divide -21 by -18

(-21)/(-18)=x

find greatest common multiple (3) and solve

x = 7/6


Related Questions

PLEASE PLEASE PLEASE HELP ME ^^
PRETTY PLEEEASE

Answers

Step-by-step explanation:

Think of it this way what if an exponent had 1 so like 10^1

that still equals 10, and does not change anything, so you need to add one more to the exponent as the first number does not change how many types the number is multiplied. Hope this helps

6. A linear function f(x) contains the coordinates (-9, 4) and (6,4). Joy says f(x) is a horizontal
line, and Lu says f(x) is a vertical line. Which student correctly described the function?
Explain.

Answers

Answer: Horizontal Line

Step-by-step explanation:

Joy is correct. This is a horizontal line. It has the same y coordinates so it will be a horizontal line.

Joy is saying correct by saying it is a horizontal line.

What is coordinates?

Coordinates are a set of values which helps to show the exact position of a point in the coordinate plane.

Given:

coordinates (-9, 4) and (6,4)

If we plot these point on the graph it will have the y- coordinates same for both coordinates.

Also, if the graph have same y- coordinates then the line joining these points are horizontal in nature.

Hence, Joy is saying correct by saying it is a horizontal line.

Learn more about coordinates here:

https://brainly.com/question/28338266

#SPJ5

While making a sketch for art class, Justin drew the shape shown and then wanted to make sure the triangles were perfectly congruent. After labeling the figure, he used a ruler and found that DF and GE bisect each other at point H.

Which of the following could Justin use to prove ∆DEH ≅ ∆FGH?
A. SAS
B. SSA
C. definition of perpendicular bisector
D. alternate interior angles are congruent

Answers

The two triangles have a pair of corresponding sides as well as the

included angles between them that are equal.

Justin could prove that ΔDEH ≅ ΔFGH by A. SAS

Reason:

The known information are;

DF bisects GE, therefore; GH = EH

GE bisects DF, therefore; DH = FH

∠DHE = ∠FHG by vertical opposite angle theorem

Therefore;

DH and EH in triangle ΔDEH = FH and GH in triangle ΔFGH

∠DHE in triangle ΔDEH = ∠FHG in triangle ΔFGH

Therefore, two sides and an included angle triangle in ΔDEH are equal to (congruent) to the corresponding two sides and an included angle in ΔFGH.

Therefore;

ΔDEH ≅ ΔFGH by SAS, Side-Angle-Side congruency theorem

Learn more here:

https://brainly.com/question/14418374

The answer would be SAS


Step-by-step explanation: SAS

Mr. Jones has 14 blue pencils the rest of his pencils are red. He has twice as many blue pencils as red pencils how many total pencils does mr. Jones have

7 pencils
21 pencils
28 pencils
42 pencils

Answers

Answer:

Mr. Jones would have 21 total pencils.

Answer:

42

Step-by-step explanation:

multiply 14 times 3

Help please due in like seven minutes!!!

Answers

the answer is simply B. the slop is going down and it’s negative so it would be negative slope .

The correct answer is B/the second option.

The reason is that you can find slope by doing y2-y1/x2-x1, however x1 was put before x2 and therefore the slope was wrong. Good luck !! :)

please whats-2 5/ 11 - 7 1/11

Answers

Answer:

=-2(5/11)-7(1/11)

=-10/11-7/11

=(-10-7)/11

=-3/11

Imagine you are a restaurant owner. Your total food cost is $85,000 and your total food sales are $250,000. What is your food cost percentage? *
1 point
25%
34%
37%
38%

Answers

34% I’m just typing now because I need 20 characters

5. Higher Order Thinking if 1/2 multiplied
by , 1/2 will the product be greater than ?
Explain.

Answers

Answer:

No

Step-by-step explanation:

1/2 times 1/2 = 1/4

hi please help me with number one:)

Answers

Answer:

(0,-1); (0,-2); (2,0); (2,-2)

Step-by-step explanation:

when rotating 180 degrees all the points have their coordinate sign's flipped.

so the points go from:

(0,1) --> (0,-1)

(0,2) --> (0,-2)

(-2,0) --> (2,0)

(-2,2) --> (2,-2)

so your new shape will have the points (0,-1); (0,-2); (2,0); (2,-2)

What property is used to rewrite (9)(-8) as (9)(-1)(8)?

Answers

Answer:

The distributive property.

What is the area? IXL assignment

Answers

Answer:

(36.4+18.7)x22.3/2 = 614.365

Step-by-step explanation:

up+downxheight/2

B=(s+k/2)h solve for s

Answers

Answer:

(B/h)(1/2) - k = s

using quadratic regression what parabola uses the points (4,80), (-3,-11), (-1,-15)? i need help badly i don’t understand this at all

Answers

Answer:

How do you find a quadratic regression from points?

Image result for using quadratic regression what parabola uses the points (4,80), (-3,-11), (-1,-15)?

Quadratic regression is the process of determining the equation of a parabola that best fits a set of data. This set of data is a given set of graph points that make up the shape of a parabola. The equation of the parabola is y = ax2 + bx + c, where a can never equal zero

Step-by-step explanation:

-4 = u - 7 solve for u

Answers

Answer:

u = 3

Step-by-step explanation:

-4 = 3 - 7

u = 3 Hope this helps!

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

Answers

Answer:  7

============================================================

Work Shown:

[tex]a^2 + b^2 = c^2\ \text{ ... pythagorean theorem}\\\\4^2 + x^2 = \left(\sqrt{65}\right)^2\\\\16 + x^2 = 65\\\\x^2 = 65-16\\\\x^2 = 49\\\\x = \sqrt{49} \ \text{ ... only consider the positive root}\\\\x = 7\\\\[/tex]

what is the
The value of y varies directly with x. If x = 3, then y
value of x when y= 168?

Answers

X=21
3/24=0.125
0.125x168=21

Find an equation of the line with slope 3 that
contains the point (7.11).
y = mx + b

Answers

The equation would be: Y = 3x + -10

What’s the answer to ……….. 5/9t-27=1/9t+21

Answers

Answer:

5/9t-27-(1/9t+21)=0

4/5+8/9 (don’t mind this)

Answers

Answer:

Excact Form

76/45

Decimal Form

1.68 The 8 repeates itself

Mixed Number

1 31/45

Step-by-step explanation:

To add fractions, find the least common denominator and then combine

Planes T and X are parallel. Plane T contains like a. plane x contains line b

Answers

Answer:

c lines

Step-by-step explanation:

Question 6
What is the slope of the line whose equation is
2y = 3x + 4?

Answers

Answer:

3/2 or 1.5

Step-by-step explanation:

Answer:

1.5

Step-by-step explanation:

y = mx + c

m = the slope

2y = 3x + 4

y = 3x + 4 / 2

y = 1.5x + 2

slope = 1.5

What is the slope of the line on the graph?

Answers

Answer:

5/12

Step-by-step explanation:

It goes up 5 and over 12.

Write the equation for the line passes through (6, -2) and (-3, 1).
*You must show all your work to get credit.
PLS HELP DUE IN 10 min

Answers

Answer: y= -3x + 16

Step-by-step explanation:

I'm assuming that you mean a linear equation

So the first thing that you want to do is find the slope for the line.

1-(-2) / -3 - 6= -9/3= -3

Now that you have the slope you can pick one of the points to plug in.

-2 = -3(6) + b

We don't know what the y intercept is so we'll need to solve for that.

-2= -18 + b

add -18 to -2

16=b

so your equation will be

y= -3x + 16

How can I solve 8.5 x (-4)?​

Answers

Answer:

-34

Step-by-step explanation:

you would first solve it like a normal equation and ignore the negative;

0.5 * 4 is 2

8 * 4 is 32

32 + 2 = 34

and then you would add the negative sign- because there is only one side with a negative sign, it is negative

if the equation had both sides had a negative, it would be positive

Help! I’ll mark brainly list but please explain!!

Answers

the answer is 4 [9.75] + 2 (6.25) + 4.75

u would find the price of the movie tickets and popcorn. since your only buying one water, u don’t need to multiple the price by anything.

How many cups of water are needed for 12 cups of flour?

Answers

2 CUPS OF WATER FOR 3 CUPS OF FLOUR

SO 1 CUP = 1.5 water

SO MULTIPLY AND FIND THE ANSWER

In 2016, George Washington's birthday fell on Friday, February 12. On what day of the week does George's birthday fall in 2025?

I need Solutionn pleasee​

Answers

Answer:

the Day falls one day after every year which means that this one will fall on a

Step-by-step explanation:

wedsnday

What are the answers to these three questions ?

Answers

14. Seven more than the quotient of a number and -2 is 6.

x/-2 + 7 = 6
x/-2 = -1
x = 2

15. Twice a number plus 5 is -3.

2x + 5 = -3
2x = -8
x = -4

16. The difference of twice a number and 3 is 11.

2x - 3 = 11
2x = 14
x = 7

Need help . Explain if you can . The options are
Additive property of length
All right angles are congruent
Definition of angle bisector
Definition of equilateral triangle
Definition of midpoint
Vertical angle theorem

Answers

9514 1404 393

Answer:

  Definition of midpoint

Step-by-step explanation:

The statement you're trying to justify is one that relates two line segments. (It says they're congruent.) This does not involve angles or triangles, and no addition of length is involved. The only reasonable choice on the list (and the correct one) is ...

  Definition of midpoint

__

A midpoint is a point that divides a line segment into two congruent parts. Since W is said to be the midpoint (given), it must divide UV such that UW ≅ VW, the statement we're trying to justify.

fraction in lowest terms 33 1/3

Answers

Answer:

If you are asking for its improper fraction form then it is 100/3

Step-by-step explanation:

33*3 (3 is the denominator) = 99

1/3 + 99/3 = 100/3

You can not divide 100 by 3 (and get a whole number), and therefore it can not be simplified  anymore and is the lowest possible term for fractions.

Ex. 2/4 can be simplified to 1/2 but 3/4 can not be simplified anymore.

Another example:

12 1/4

12*4 = 48

1/4 + 48/4 = 49/44

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