Is x = 6 a solution to the equation 5(x – 3) = x + 13? Follow the steps to find out. 1. Rewrite the equation 5(x – 3) = x + 13 with 6 substituted for x. Write a question mark over the equal sign to show that you're testing to see if the equation is true. 2. Simplify both sides. Show your work. 3. Is x = 6 a solution to the equation? Why or why not? 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:

Testing if 6 is the solution:

5(x – 3) = x + 135(6 - 3) ? 6 + 135(3) ? 1915 ≠ 19

6 is not a solution

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

Solving for x:

5(x – 3) = x + 13            ⇒ open parenthesis5x - 15 = x + 13              ⇒ isolate variable5x - x = 13 + 15              ⇒ simplify4x = 28                          x = 28/4x = 7
Answer 2

Answer:

x = 7

Step-by-step explanation:


Related Questions

I need help solving this problem please I would like short explanations please its more helpful for me. :) ​

Answers

Answer:

First point goes on -2

Step-by-step explanation:

Find the measure of each interior angle.

Answers

Answer:

d) m<J = 115, m<K = 130, m<M = 50, m<N = 65

Step-by-step explanation:

The sum of interior angles in this rectangle is equal to 360

if we add all the given angles 7x + 10 = 360 subtract 10 from both sides

7x = 350 divide both sides by 7

x = 50 to find the measure of each angle replace x with 50

The low temperature in City A is -8°F. The low temperature in City B is -12°F Complete the statement below​

Answers

Answer:

City B is 4 degrees colder than City A

Step-by-step explanation:

When in degrees negatives a much colder. So if the number is negative the higher the number the colder the tempeture.

Have a great day!

Hope this helps!

PLEASE MARK BRAINLIEST.

Use special right triangle properties to solve for the missing sides.
12
309
X
O x-24;y - 4
Ox=8:y= 4
O x - 413 : y = 873
O y = 473 ; x = 8/3

Answers

Answer:

cos30=12/x

√3/2=12/x

x=12×2/√3=24√3/3=8√3

sin30=y/x

1/2=y/8√3

1/2×8√3=y

y=4√3

Graph the inequality on the axes below.
3x +y > -7

Answers

Step-by-step explanation:

use desmos it's a graphing calculator just put in the equation

The polynomial p(x) = 5x^3 - 9x^2 - 6x + 8 has a known factor of (x+1). Rewrite p(x) as a product of linear factors. (plz help)

Answers

Answer:

5x^3-9x^2-6x + 8

= (x+1)(5x-4)(x-2)

Step-by-step explanation:

Firstly, we need to get the other polynomial by which we can multiply the linear factor

What we have to do here is to divide the bigger polynomial by its linear factor

We can do this by long division, please check attachment for this

By kind division, the other factor is;

5x^2-14x + 8

So, we proceed to factorize this;

We have this as ;

5x^2-10x-4x+ 8

5x(x-2) -4(x-2)

= (5x-4)(x-2)

Plz can anyone calculate this equation for me. I dont have a
Calculator

Thank you so much

Plz give the right answer!

Answers

Answer:

R= 22537

Step-by-step explanation:

Brianna bought snacks for her team's practice. She bought a bag of

oranges for $2.63 and a 8-pack of juice bottles. The total cost before

tax was $16.07. Write and solve an equation which can be used to

determine x, how much each bottle of juice costs?

Answers

Answer:

$1.68

Step-by-step explanation:

The total cost is $16.07 and there was 2 things bought- the oranges and the juice bottles. to make it easier to find the cost of the juice bottles, we'll subtract the cost of the oranges (2.63) from the total (16.07), which gives us 13.44. this number represents the total cost of only the bottles. To find out the cost if each individual bottle, you need to divide the total (13.44) by the number of bottles (8). This gives us 1.68, so the cost of each bottel is $1.68

Hope this help :)

This table shows some values of an exponential function. x у 01.25 1 2.50 25 3 10 What is the function?​

Answers

Answer:

[tex]y= 1.25(2)^{x}[/tex]

Step-by-step explanation:

[tex]y= 1.25(2)^{x}[/tex]

For x=0

[tex]y= 1.25(2)^{0} = 1.25[/tex]

For x=1

[tex]y= 1.25(2)^{1} = 1.25(2)=2.5[/tex]

For x=2

[tex]y= 1.25(2)^{2} = 1.25(4)=5[/tex]

For x=3

[tex]y= 1.25(2)^{3} = 1.25(8)=10[/tex]

Need help due in 10 mins pls

Answers

Where’s the problem u need to either add a photo or write the question

Olivia has a points card for a movie theater. She receives 80 rewards points just for signing up. She earns 2.5 points for each visit to the movie theater. She needs at least 105 points for a free movie ticket. Write and solve an inequality which can be used to determine xx, the number of visits Olivia can make to earn her first free movie ticket.

Answers

Answer:

10 visits

Step-by-step explanation:

According to the scenario, calculation of the given data are as follows,

Rewards for signing up = 80 points

Reward per visit = 2.5 points

Total points needed = 105

Let, number of visits = x

So, we can calculate number of visits by using following formula,

80 + (2.5 × X) = 105

2.5X = 105 - 80

2.5X = 25

X = 25 ÷ 2.5

X = 10 visits.

Hence, Olivia needs to make 10 visits in order to earn a free movie ticket.

help me pls!!!!!! which option

Answers

it 1/x^5
hope that helps

Answer:

Step-by-step explanation:

That x in the denominator has a power of 1 even if its not visually there. When you multiply exponents, you add them.

[tex]x^1*x^-^2=x^-^1[/tex]

Now you have this

[tex]x^-^6/x^-^1[/tex]

When you divide exponents, you subtract them

[tex]x^-^5 = 1/x^5[/tex]

How much money does Jeffrey need to buy a stuffed animal and a chess board?
teddy bear
$16.00
toy rocket
$67.00
chess board
$15.00
stuffed animal
$14.00

Answers

Answer:

$45

Step-by-step explanation:

the teddy is $16, the stuffed animal is $14 if you add it you get $30. Then you add the chessboard which is $15 all together is $45

8t=−32

Help a sister out

Answers

Answer:

t=-4

Step-by-step explanation:

Answer:

t = -4

Step-by-step explanation:

divide each term by 8 and simplify

I need help pls or else I will get in trouble

Answers

x is 9.6 like they said

What is the first step in evaluating the expression 6−(4÷2×5)2?

Answers

Answering inside the parentheses

Step-by-step explanation:

Do

(4÷2×5)

first

.............

Simplify 3x+5m+6m+c please

Answers

Answer:

3x + 11m + c

Step-by-step explanation:

Step 1) Write the Equation: 3x + 5m + 6m + c

Step 2) Add like Terms: 3x + 11m + c

what is the slope of the line whose equation is y-4=5/2(x-2)​

Answers

The answer is 5/2. This equation is written in point-slope form y-y1=m(x-x1), where m is the slope.

What integer values satisfy both inequalities? − 2 < x < 3 − 2 ≤ x < 2

Answers

Given:

The inequalities are:

[tex]-2<x<3[/tex]

[tex]-2\leq x<2[/tex]

To find:

The integer values that satisfy both inequalities.

Solution:

We have,

[tex]-2<x<3[/tex]

[tex]-2\leq x<2[/tex]

For [tex]-2<x<3[/tex], the possible integer values are

[tex]x=-1,0,1,2[/tex]          ...(i)

For [tex]-2\leq x<2[/tex], the possible integer values are

[tex]x=-2,-1,0,1[/tex]        ...(ii)

The common values of x in (i) and (ii) are

[tex]x=-1,0,1[/tex]

Therefore, the integer values -1, 0 and 1 satisfy both inequalities.

Pls help math!!!!!!!

Answers

the answer should be “C” or your third option! :)

CAN SOMEONE PLEASE HELP ITS EASY BUT IM D U M B

Answers

Answer:

I believe the answer is C. Use Desmos and plug in the equation y=-x-2

Step-by-step explanation:

Which equation represents a line which is parallel to the line 7x - y = 4?

Answers

Answer:

Step-by-step explanation: step : Place the given line’s equation in slope- intercept form y = mx + b. A line parallel to this line will have the same slope.

7x - y = 4. Yields y = 7 x - 4. Therefore y = 7x - 5 is the correct answer.

Solve the equation for y

y-2/3x= -6

y=

Answers

Answer:

y = -6 + 2/3x can I get brainliest?

Step-by-step explanation:

Just add 2/3x to both sides

y-2/3x=-6

 +2/3.      +2/3

cannot combine like term with number so..

y = -6 + 2/3x

Please Please Help ME!!! its so hard 50 points
Brainiest for correct answer.

Answers

Answer:

hiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii

Step-by-step explanation:

Mean, Median, Mode and Range. Easy hard math. Please show work and give answers . Need help appreciate you all

Quiz Scores:
You and your friend are having a friendly competition about the scores on your math quizzes. Both of your scores for the first five quizzes are given below:
Your quiz scores: 18, 16, 19, 15, 17
Friend’s quiz scores: 20, 20, 13, 12, 17
a. Find the mean, median, and mode of both sets of data.
b. Which person – you or your friend – has the higher mean?

World Populations:
The populations (in millions) in 2000 on each of the six inhabited continents were:
803, 487, 348, 368, 730, and 31
a. What is the range of the populations?
b. Find the mean, median, and mode(s) of the populations.

Tomato Plants:
The heights (in inches) of eight tomato plants are:
36, 45, 52, 40, 38, 41, 50, and 48
a. What is the range of the tomato plant heights?
b. Find the mean, median, and mode(s) of the tomato plant heights.

Answers

Answer:

:)

Step-by-step explanation:

quiz scores:

a. arrange them all from least to greatest to figure out the median first

your quiz: 15, 16, 17, 18, 19     middle # = 17        median = 17

friend's quiz: 12, 13, 17, 20, 20     middle # = 17       median = 17

now for mean add all of your quiz scores up and divide by how many #s

15 + 16 + 17 + 18 + 19 = 85 / 5 = 17          mean = 17

now your friend's:

12 + 13 + 17 + 20 + 20 = 82 / 5 = 16.4       mean = 16.4

mode is which number is used the most

your mode = you don't have a mode       your friend's mode = 20

b. you have a higher mean than your friend

world populations:

a. range is to subtract the smallest number from the largest

803 - 31 = 772

b. mean is adding it all up and dividing by how many numbers there are:

803 + 487 + 348 + 368 + 730 + 31 = 2767 / 6 = 461.17

median is arranging them in order and finding the middle #

31, 348, 368, 487, 730, 803

368 + 487 = 855 / 2 = 427.5

mean = 461.17

median = 427.5

mode = no mode

tomato plants:

a. range is subtracting the smallest from the largest

52 - 36 = 16

b. mean is adding all the #s and dividing by how many #s there are:

36 + 45 + 52 + 40 + 38 +41 + 50 + 48 = 350 / 8 = 43.75

median is the middle from least to greatest

36, 38, 40, 41, 45, 48, 50, 52

41 + 45 = 86 / 2 = 43

mean = 43.75

median = 43

mode = no mode

hope this helps! :)

√180m^2
I have to solve this using perfect squares, is anyone familiar with those?

Answers

Given:

The expression is

[tex]\sqrt{180m^2}[/tex]

To find:

The value of the given expression by using the perfect squares.

Solution:

We have,

[tex]\sqrt{180m^2}[/tex]

It can be written as

[tex]=\sqrt{2\times 2\times 3\times 3\times 5\times m^2}[/tex]

[tex]=\sqrt{(2)^2(3)^25m^2}[/tex]

[tex]=\sqrt{(2\times 3\times m)^25}[/tex]

[tex]=\sqrt{(6m)^25}[/tex]

[tex]=6m\sqrt{5}[/tex]

Therefore, the value of given expression is [tex]6m\sqrt{5}[/tex].

A designer makes a model of a patio using inch square tiles. Each 1 inch square tile = 4
square feet. What area is represented by the 8 x 6 model?
96 square feet
]} in.
92 square feet
384 square feet
56 square feet
each žin. tile = 4 sq.ft.
Done-

Answers

Answer:

yes

Step-by-step explanation:

How many degrees are inside of a convex hexagon? Remember to use (n-2)180.
180
360
720
1080

Answers

Answer:720
Very good at doing degrees in math!

Solve this system using the substitution method.
2x + 2y = 14
y = 3x - 5
x=
y=

Answers

picture has full answer

Answer:

The solution is:

x=3

y=4

Step-by-step explanation:

We need to solve this system using the substitution method.

2x + 2y = 14

y = 3x - 5

Substitution method involves placing value of x or y from one equation to other equation.

We have:

[tex]2x + 2y = 14--eq(1)\\y = 3x-5 --eq(2)[/tex]

We will put value of y from equation 2 into equation 1.

[tex]2x + 2y = 14\\Put\:y = 3x - 5\\2x+2(3x-5)=14\\2x+6x-10=14\\8x=14+10\\8x=24\\x=\frac{24}{8}\\x=3[/tex]

So, we get x =3

Now, put value of x in equation 2 to find value of y

[tex]y = 3x - 5\\Put\:x=3\\y=3(3)-5\\y=9-5\\y=4[/tex]

So, we have y = 4

The solution is:

x=3

y=4

how far does the train go in 100 minutes

Answers

Answer: It definitely depends  

Step-by-step explanation:

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