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.

Answer:

First point goes on -2

Step-by-step explanation:

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

Step-by-step explanation:

Do

(4÷2×5)

first

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

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 :)

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

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]

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

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

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]

Answer:

hiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii

Step-by-step explanation:

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

Step-by-step explanation:

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

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! :)

Answer:

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

Step-by-step explanation:

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.

Answer:

yes

Step-by-step explanation:

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.

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.

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)

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].

Answer:

R= 22537

Step-by-step explanation:

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

Answer: It definitely depends  

Step-by-step explanation:

Answer:

t=-4

Step-by-step explanation:

Answer:

t = -4

Step-by-step explanation:

divide each term by 8 and simplify

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.