given : 2x+8=5x-13; prove x=7

Answers

Answer 1

Answer:

True

Step-by-step explanation:

The left side  22  is equal to the right side  22 , which means that the given statement is always true.

Answer 2

Step-by-step explanation:

If we want to prove that x is equal to seven, we should first solve the equation for x so:

2x + 8 = 5x - 13

We should first add 13 on both sides and subtract 2x from both sides:

2x + 8 + 13 - 2x = 5x - 13 + 13 - 2x

21 = 3x

We can then divide both sides by 3 to get:

x = 7


Related Questions

What is the slope of this line?

A. 3
B. -1/3
C. -3
D. -2
E. 4

Answers

Answer:

-3

Step-by-step explanation:

Pick two points on the graph, lets go with (0, 4) and (1, 1)

y = mx + b

m is the slope and to figure it out use below formula

m = (y₂ - y₁) / (x₂ - x₁)

  = (1 - 4) / (1 - 0)

  = -3 / 1

  = -3

Answer:

C. -3

Explanation:

Given problem;

 To solve for the slope of the line;

The slope of a line is the vertical distance to the horizontal displacement on a line.

  Slope  = [tex]\frac{Vertical distance}{horizontal displacement}[/tex]

For lines such as this, we use the formula below;

                        Slope  = [tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]

To find the slope reference the image attached;

     point 1 (0,4)      x₁  = 0   y₁  = 4

     point 2 (2,-2)    x₂  = 2   y₂  = -2

Now input the parameters and solve;

          Slope  = [tex]\frac{-2 - 4}{2 - (0)}[/tex]   =    [tex]\frac{-6}{2}[/tex]  

          Slope  = -3

   

The slope of the line is -3

yes i agree with all of you

Answers

Answer:

like wise. I too agree with your contribution

6 2/3 divided by 1/5

Answers

Answer:

[tex]\frac{100}{3}[/tex]

Step-by-step explanation:

[tex]6\frac{2}{3}[/tex] ÷ [tex]\frac{1}{5} = \frac{100}{3}[/tex]  

I hope this helps!

All perfect squares are divisible by 2.
A.) true
B.) False, counterexample of 16
C.) False, counterexample of 15
D.) False, counterexample of 25

Answers

Answer:

the correct answer is C

Step-by-step explanation:

because the square root of 15 is 3.8 and 3.8 isnt divisible by 2

D. False, counter example of 25.
The reason for that is because A is not true, B is not a counterexample, C is not a square, so D is the answer.

help please
What is the unit rate?

y=3.15x

Answers

Answer:

12

Step-by-step explanation:

Answer:

DEEZ NUT.Z ARE THE ANSWER TO ALL YOUR PROBLEMS!!

what is the decimal equivalent of 25/9

Answers

Answer:

You could write the fraction as [tex]\frac{5^{2} }{3^{2} }[/tex]

If you are looking for a decimal form then the answer is 2.77

Solve for y.
27=6x-9yx

Answers

Answer:

Y= - 3/x+2/3

Step-by-step explanation:

Answer:

y=2x-9/3x

Step-by-step explanation:

hope that helps :)

A 10 ounce can of corn cost 1.88 cent what is the unit rate

Answers

Answer:

5.319149 oz per dollar

Step-by-step explanation:

This is a fraction equal to

10 oz ÷ 1.88 dollars

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 1.88

10 oz ÷ 1.88

1.88 dollars ÷ 1.88

=  

5.319149 oz

1 dollar

=  

5.319149 oz

dollar

= 5.319149 oz per dollar

I looked up a unit rate calculator and this is what I got because honestly i forgot how to do this but I hope it helps.

What’s the x and y intercepts of this equation: -3x-7y=84

Answers

Answer:

The X and Y intercepts to the equation -3x - 7y = 84 is

x-intercept (s): (−28,0)

y-intercept (s): (0,−12)

Step-by-step explanation:

To find the x-intercept(s), substitute in 0 for y and solve for x

−3x−7⋅0=84

Solve the equation.

x=−28

x-intercept(s) in point form.

x-intercept (s): (−28,0)

To find the y-intercept(s), substitute in 0 for x and solve for y .

−3⋅0−7y=84

Solve the equation.

y=−12

y-intercept(s) in point form.

y-intercept (s): (0,−12)

Hope this helps.

help? someone plzzzz​

Answers

Answer is a. (2,2)
Because for it to be a function each x value can only have one y value. And in the chart it says x is 2 and 8

Is the function f(x) = (x+2)/2

A. Even

B. Odd

C. Neither

Answers

Answer:

c

Step-by-step explanation:

Last year 42 new houses were built in a neighborhood. So far this year 5/7 of them have been sold. How many new houses have been sold this year?

Answers

Answer:

30

hope this helps.

Answer:

35 houses

Step-by-step explanation:

Three times Tara's age decreased by 2 years is the same as twice her age increased by 13 years. How old is
Tara?

Answers

The answer will be 37 years old

Pls answer: -4y - 4 + (-3)

Answers

The answer is -4y-7 Goodluck!
Answer: -4y - 7

Explanation: Keep the -4y and combine like terms. -4 - 3 = -7

Hope this helped! :)

Lesley and Enid left their waitress a 15% tip.
The tip was $10.25.
What was their total bill, not including the tip?

Answers

Answer:   $68.37

Hope this helps;)

Answer:

Cost before tip: $68.34

Cost after tip: $78.59

Step-by-step explanation:

Please see attached image. Calculations are executed in black. Answers are highlighted in blue. Solution explanation is provided in red. Implicit/'skip-over' steps are in green.

~~

Hope this helps.

Two friends race. The first friend gets a head start and runs at a steady rate of 0.20 miles per minute. The second friend waits 1 minute and then runs at a steady rate of 0.25 miles per minute. How long will it take for the second runner to catch up with the first?

Answers

Step-by-step explanation:

In this problem we are expected to solve for the time taken for the second person to meet with the first.

given that

first person's speed=0.2mph

let time taken be= x

we know that

velocity= distance/time

0.2=distance/x

distance=0.2x----1

second person's speed= 0.25mpm

time taken=x-1

we know that

velocity= distance/time

0.25=distance/x-1

distance=0.25(x-1)

distance=0.25x-0.25-----2

equating equation 1 and 2 we have

0.2x=0.25x-0.25

0.2x-0.25=-0.25

-0.05x=-0.25

divide both sides by -0.05 we have

x=-0.25/-0.05

x=5

we know that the second person's time is described by

=x-1

=5-1=4min

The second person will catch up after 4 minutes

How many solutions does the equation 4x + 2(x - 5) = 3(2x - 4) have?
А.
no solution
B. exactly one solution
C. at least two solutions
D. infinitely many solutions

Answers

Answer:

C

Step-by-step explanation:

remove () and calculate the product

8x*(x-5)=3(2x-4)

distribute 8x through the ()

8x^2-40x=6x-12

move the expression to the left-hand side and change its sign

8x^2-40x-6x+12=0

collect like terms

8x^2-46x+12=0

determine the number of solutions using the discriminant D=b^2-4 a c

D=(-46)^2-4*8*12

simply the expression

D=1732

Since D>0, the quadratic equations has 2 real solutions

What is the answer to 49/4018

Answers

Answer:

1/82

Step-by-step explanation

Divide both the numerator and denominator by 49 to get the simplified version.

[tex]\frac{49}{4018}\frac{/49 }{/49} \frac{1}{82}[/tex]

Hope this helps!

what is 4 2/8 as a percent

Answers

Answer:

425%

and

4.25

(4 2/8) × 100%

= 425%

= 4.25

Answer:

425%

Step-by-step explanation:

(4 2/8) × 100%

= 425%

= 4.25

a regular photograph measuring 2 inches by 4 inches is enlarged by a scale factor of 8. What are the dimensions of the new photograph?

Answers

Answer:

16 inches by 32 inches or 1 1/3 feet by 2 2/3 feet

Step-by-step explanation:

helpppp!! (23 points)

Answers

Answer:

1, 2, and 4. (I believe it is).

Step-by-step explanation:

Are tools ‘required’ to make accurate and precise measurements?

Answers

Yes because it will give you an exact measurement at least for it to be precise.

what is the absulute value of -54​

Answers

Answer:

54

Step-by-step explanation:

Absolute value is the number without the negative. Next time just remove the negative and you're all set!

What is the slope of the line that passes through the points (2, 1) and (17, -17)

Answers

Answer: -6/5

Step-by-step explanation:

Do the formula, change in y divided by the change in x.

(-17 - 1)/(17-2) = -18/15 = -6/5

hayden places these four blocks into bag
he pick one block wihtout looking
what is the probability that the block hayden picks has a letter on it

Answers

Answer:

1/4

Step-by-step explanation:

4 blocks have been picked, but just one wasn't looked at, therefore only that one has the letter.

1/2x + y p= 4 find y

Answers

Answer:

y = 4/p−x/2p

(4 over p is a fraction as well as X over 2p)

Answer: p=-x+8/2y

Step-by-step explanation: 1

2

x+yp=4

Step 1: Add (-1)/2x to both sides.

py+

1

2

x+

−1

2

x=4+

−1

2

x

py=

−1

2

x+4

Step 2: Divide both sides by y.

py

y

=

−1

2

x+4

y

p=

−x+8

2y

Answer:

p=

−x+8

2y

PLEASE HELP ME, IM BEING TIMED ON THE TEST AND NEED AN ANSWER QUICK!!!!!

I ALSO SPENT ALL OF MY POINTS ON THE QUESTION!

A conjecture and the flowchart proof used to prove the conjecture are shown.


Given: A B C D is a parallelogram.

Prove: Angle 1 is supplementary to angle 3.

Art: Parallelogram A B C D. Ray D B is drawn and is extended past vertex B. The ray forms an interior angles A D B and D B C and an exterior angle labeled as 3, adjacent to angle D B C. Angle A D B is labeled as 1, and angle D B C is labeled as 2.




Drag an expression or phrase to each box to complete the proof.

Answers

Answer:

∠1 is supplementary to ∠3.

Step-by-step explanation:

Given information: ABCD is a parallelogram.

Prove: ∠1 is supplementary to ∠3.

Proof:

∠1 = ∠ADB

∠2 = ∠DBC

∠3 = exterior angle adjacent to angle D B C.

Statement                                         Reason

∠2 is supplementary to ∠3           Linear pairs

m∠2+m∠3=180°                             Definition of supplementary angles

                           Alternative interior angles

m∠1+m∠3=180°                              Substitute property of equality

∠1 is supplementary to ∠3            Definition of supplementary angles

Mary has bought 36 pounds of dog food. She feeds her dog
4
last?
pounds for each meal. For how many meals will the food
Write your answer in simplest form.

Answers

Mary will feed her dog 9 pounds for each meal
It would be 9 pounds

if it took 2 hours to clean 4 houses how many houses could be cleaned in 3 hours​

Answers

Answer:

6

Step-by-step explanation:

it would be six in one hour he would clean 2 houses in two 4 houses then in three it would be six

Answer:

I think you can clean 6 houses.

A mountain has a 20 degree slope, and is 1 mile tall. How far do you need to hike to reach the summit?

Answers

The distance we have to hike to reach the top of the mountain is

2.92 miles.

What are trigonometric ratios in terms of a right-angle triangle?

We know a right-angled triangle has three sides they are -: Hypotenuse,

Opposite and Adjacent.

We can remember SOH CAH TOA which is,

sin = opposite/hypotenuse, cos = adjecen/hypotenuse and

tan = opposite/adjacent.

Given, A mountain has a 20-degree slope and is 1 mile tall and we have to hike the mountain so we want to know the distance.

Here hypotenuse is the distance we have to hike and according to the reference, the angle opposite has a distance of 1 mile.

We know sin = opposite/hypotenuse.

sin20° = 1/hypotenuse.

0.342 = 1/hypotenuse.

hypotenuse = 1/0.342.

hypotenuse = 2.92 miles.

learn more about trig ratios here :

https://brainly.com/question/14977354

#SPJ1

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