4. Find a value of x that is a solution to 5(x - 3) = x + 13. Describe how you found the solution​

Answers

Answer 1

Answer:

x=7

Step-by-step explanation:

5(x - 3) = x + 13

Distribute the 5

5x-15 = x+13

Subtract x from each side

5x-15-x = x+13-x

4x-15 =13

Add 15 to each side

4x-15+15 = 13+15

4x= 28

Divide each side by 4

4x/4 = 28/4

x = 7

Answer 2

Answer:

x = 7

Step-by-step explanation:

First

5(x - 3) = 5x - 15 by distributing the 5 on each variable and number in the parenthesis.

Then

5x - 15 = x + 13 which you add 15 (or 5x - 15 + 15 = x + 13 +15) on both sides to have the numbers on one side because it must be the opposite to cancel out the 15 on the original/previous side.

Afterwards

5x = x + 28 now we must get the x to the other side and using the same logic as before you move the x to the other side by subtracting it (or 5x - x = x + 28 - x) to the other side equaling 4x = 28.

Finally

4x = 28 you need to divide each side by 4 to cancel out the 4 on the x since we must find out what x is (or 4x/4 = 28/4), and you should get x = 7.


Related Questions

(x-4)2 = 36
Which of the following expressions represents the solutions to the given equation?
0-4+ V(36)
O4 + V(36)
16+ (36)

Answers

There is 2 equation or 2 x if you prefer

1. X-4= 6. That is equal to 10 so x1=10
2. X-4= -6. That is equal to -2 so x2= -2

solve for x someone pls help

Answers

Answer:

50+90+3x+1=180.....................

X= 13 is the answer to the question

1. In the expression at aⁿ,n is called
a. exponent
b.base
c. variable
d.number​

Answers

a. exponent that is a short answer but i need more words hope u have a good day :)

You need to purchase supplies for an employee appreciation picnic. Your boss gives you the shopping list below and asks that you get the best deal by buying from one grocer, either Quality Groceries or Fresh Market. You call both grocers, and they provide the price information that you put into the table. Which grocer will provide all these picnic supplies for the lowest cost, and what is that cost without sales tax?

Answers

Answer:

Hi there, this is what I got but sorry if it is incorrect.

Hamburger Patties Package of 10 $15.50 Package of 8 $12.40

Hot Dogs Package of 12 $6.23 Package of 10 $4.99

Hamburger Buns Package of 8 $3.79 Package of 8 $3.55

Hot Dog Buns Package of 12 $2.75 Package of 8 $2.55

Potato Salad Gallon $4.33 Gallon $5.55

Ice Cream Gallon $7.55 Gallon $6.99

Answer:

its )B

Step-by-step explanation:

Which graph represents a proportional relationship?

Answers

Answer: The first graph

Step-by-step explanation:

A proportional graph always goes through the origin

Answer:

The first graph

Step-by-step explanation:

I DONT KNOW THIS QUESTION

Answers

**Answer**

11/4z + 6/20

**EXPLANATION**

Use your work from above to find the sum of 501+502+503+…+800

Answers

Answer:

Step-by-step explanation:

Gauss n(n+1)/2

which is n? the last number of the sum

500(500 + 1)/2 = 125,250

800(800+1)/2 = 320,400

uh oh forgot to read the last one, give me a minute. done

(800 - 501 + 1)(800 + 501)/2

300(1301)/2 = 195,150

or

320,400 - 125,250 = 195,150

The length of a rectangle is 10 times its width. If the area of the rectangle is 52yd^2, find its approximate width.

Answers

Answer:

76377/9338912

Step-by-step explanation:

Integrate :
[tex]\red{\footnotesize\displaystyle\bf \int cos^3 4x\:\:dx}[/tex]


Answers

Recall the half-angle identity for cosine:

cos²(x) = 1/2 (1 + cos(2x))

Then we can rewrite the integrand as

cos³(4x) = cos(4x) cos²(4x) = 1/2 cos(4x) (1 + cos(8x))

So we have

[tex]\displaystyle \int \cos^3(4x) \, dx = \frac12 \int (\cos(4x) + \cos(4x)\cos(8x)) \, dx[/tex]

Next, recall the cosine product identity,

cos(a) cos(b) = 1/2 (cos(a - b) + cos(a + b))

so that the integral is equivalent to

[tex]\displaystyle \int \cos^3(4x) \, dx = \frac12 \int \cos(4x) \, dx + \frac14 \int (\cos(4x - 8x) + \cos(4x + 8x)) \, dx[/tex]

[tex]\displaystyle \int \cos^3(4x) \, dx = \frac34 \int \cos(4x) \, dx + \frac14 \int \cos(12x) \, dx[/tex]

Computing the rest is trivial:

[tex]\displaystyle \int \cos^3(4x) \, dx = \boxed{\frac3{16} \sin(4x) + \frac1{48} \sin(4x) + C}[/tex]

Frame a linear equation for each of the following statements.
1. [tex]b[/tex]47 is 23 more than two times p.
2.[tex]b[/tex]One-fourth of p decreased by 3 gives −12
3.[tex]b[/tex]2 times p exceeds 15 by 3.
4. [tex]b[/tex]One-fifth of p decreased by 4 gives 6

Answers

Answer: chopstick

Step-by-step explanatio

Simplify the following and write your answer in simplest radical form: Multiply the polynomials

25a² + 10ab² + b²
X.................5a + b²
________________

Answers

Answer:

Step-by-step explanation:

125a³ + 50a²b² + 5ab² + 25a²b² + 10ab⁴ + b⁴

125a³ + 75a²b² + 5ab² + 10ab⁴ + b⁴

A department store sells a pair of shoes with a 15% discount. The original price of the shoes is $75. What is the sale price?

Answers

Answer:

$63.75

Step-by-step explanation:

10% = 7.5

5% = 3.75

15% = 11.25

75.00

-11.25

63.75

the number of decimal places after which the decimal expansion of 23 upon 2²*5 will terminate will

Answers

Answer:

Given:

⇒ \frac{23}{2^2(5)}

2

2

(5)

23

To Find:

Expansion of the given number = ?

Solution:

⇒ \frac{23}{2^2(5)}

2

2

(5)

23

By opening the squares, we get

⇒ \frac{23}{2\times 2\times 5}

2×2×5

23

⇒ \frac{23}{4\times 5}

4×5

23

⇒ \frac{23}{20}

20

23

⇒ 1.151.15

3|x + 7| + 6 = 18 How many solutions are there to the equation?

Answers

Answer:

There are two solutions.

Step-by-step explanation:

x = -3

x = -11

3x|x+7| +6 =18
Answer: 3x|x+7| = 18-6
3x|x+7|=12
|x+7|=4
x+7=4
x+7=-4
x=-3
x= -11
Solution or final answer:
x (put 1 under the x lower right of x)
x1 = -11, x2 = -3

SOMEONE PLEASE HELP ME

Answers

Answer:

D

Step-by-step explanation:

0.4 = 4/10 = 2/5

If an object's position over time is given by the function d(t)=(t^2 +3)e^-1/2 for greater than 0 , on what interval is the object's position increasing and concave down ?

Answers

Answer:

Step-by-step explanation:

[tex]d(t)=(t^2+3)e^\frac{-1}{2} \\d'(t)=2t e^{-\frac{1}{2} }\\it~ is~ increasing ~if~d'(t)>0\\e^{-\frac{1}{2} } =\frac{1}{e^\frac{1}{2} } >0\\so~t>0\\and~decreasing~if~t<0\\[/tex]

so it is concave upward at t=0

Mr. Peate is building a rectangular fence around his house. The fence will be 32 feet long and 29 feet wide. What will be the perimeter of the fence? The perimeter will be ?​

Answers

Answer:

112

Step-by-step explanation:

32*2+29*2=112

Please find the correct answer will give high points, mark brainliest, give 4 stars, and hearts. PLS


Answers

Answer d is correct.
|0.35| is equal to 0.35, |-0.81| is equal to 0.81.
-|0.81| is equal to -0.81.
Answer d is correct because -|0.81| is equal to a negative number and is less than 0, and d is the only answer that states that

there are 350,000 in a warehouse predict the number of light bulbs that are likely to have no defects

Answers

Answer:

175000.(or around that number)

Step-by-step explanation:

half of 350,000 is 175000.

What is the volume of a cylinder in cubic feet of a cylinder with a height of 3ft and a base diameter of 18ft, round to the nearest tenths place

Answers

Answer:

763.4 ft^3 to the nearest tenth.

Step-by-step explanation:

The base radius = 1/2 * 18 = 9 ft.

The volume = π r^2 h

=  π * 9^2 * 3

= 763.407 f^3.

Vhich number line represents the solution of 4x - 9> -21?

Answers

Answer:4x -9 >= -21

4x >= -12

x >= -12/4

x >= -3  

so this number line started with -3 and go away till + infinity  

hope this will help you

Step-by-step explanation:

Mr. Darson bought 6 boxes of nails from a shop. Each box had an equal number of nails. He gave 8 nails to each of his 38 students. He then had 26 nails left. Find the number of nails in each box.

Answers

Answer:55 nail boxes

Step-by-step explanation: first we have to find out the total amount of nails in all the boxes so for this we do 38*8=304

when he gave all the nails to all his students he has 26 extra nails left. so we add this amount to the original which gives us 330 total nails.

to find out the number of nails in eadh box we divide 330/6=55

Which of the following statements are correct?
Please help

Answers

Answer:

True A. angles one and five are corresponding angles.

True B. angles three and six are alternate interior angles.

False C. angles two and seven are alternate interior angles.

Angles two and seven are alternate exterior angles.

False D. angles five and eight are alternate exterior angles.

Angles five and Eight are verticle angles.

False E. angles two and four are same-sided consecutive angles.

Angles two and four are supplementary angles

True F. angles four and six are same side consecutive angles.

True G. angles one and eight are alternate exterior angles.

Umm how to do rates

Answers

The definition of a rate in math is, the speed of something being gained in a problem, let's say we have a hot pipe that can full up a pool in 6 hours, our rate would be 1/6 of the pool per hour.

7x+3y=m, solve for y

Answers

Y= (m-7x)/3

We need to subtract 7x on both sides
Then divide the entire thing by 3

Use the similar triangles below to find the height of the tree

Answers

Answer:

D. 44 feet

Step-by-step explanation:

The ratio of corresponding sides is same for similar triangles:

H/5.5 = 24/3H = 5.5*8H = 44 feet

Correct choice is D

Use the function g(x)=11 to find the following values
g(-3)

Answers

Answer: https://www.bing.com/search?q=https%3A%2F%2Fwww.chegg.com%2Fhomework-help%2Fquestions-and...%0A&form=IPRV10

Step-by-step explanation: There you will find your answer

The value of g(-3) comes to be 11 because g(x) is a constant function.

Given function is:

g(x) =11

Function g(x) is a constant function because g(x) is independent of x.

How graph of a constant function look like?

The graph of a constant function is parallel to the y-axis and gives the same output for any input given to the function.

So, The value of g(-3) will be the same as the value of g(x) i.e. 11

So, value of g(-3) = 11

Therefore, The value of g(-3) comes to be 11 because g(x) is a constant function.

To get more about constant function visit:

https://brainly.com/question/2292795

Which equation could be represented by the number line?

Answers

[tex]Hiya![/tex]

Sokka is here to help!!

I believe it is D..

Hopefully, this helps you!

[tex]Sokka[/tex]

Answer:

I think it is C.

Step-by-step explanation:

It has a starting point. It also has an arrow that is going toward the negatives. It also has a gap of 9 units. So therefore, C is our answer.

How do the slopes of A ⁢ B ↔ and the parallel line through point C compare?

Answers

Answer:

The slopes of A⁢B↔ and the parallel line through point C are equal.

Step-by-step explanation:

Edmentum

Answer:

The slopes of the parallel AB lines through point C  are equal.

Step-by-step explanation:

What is the image of the point (-3, 4) after a rotation of 180° counterclockwise
about the origin?

Answers

Answer:

-3 ,-4

Step-by-step explanation:

Answer: ( 3 , -4)

Step-by-step explanation:

i got it wrong at first and it told me the right answer

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