What value of x makes the following equation true? ( 8th grade math )

What Value Of X Makes The Following Equation True? ( 8th Grade Math )

Answers

Answer 1

Answer: 4

Step-by-step explanation:

2(x+7) = x + 18

2x + 14 = x + 18

x + 14 = 18

x = 4

Answer 2

Answer:

C. 4

Step-by-step explanation:

[tex]2(x + 7) = x + 18[/tex]

[tex]2(x+7) = 2x + 2×7[/tex]

[tex]=2x+14[/tex]

[tex]2x + 14 = x + 18[/tex]

[tex]2x + 14-x=18[/tex]

[tex]2x - x = 18 - 14[/tex]

[tex]x=18-14[/tex]

[tex]x = 4[/tex]


Related Questions

find the area of a polygon and show step by step explanation pls

Answers

Answer:

156

Step-by-step explanation:

6×12=72

7×12=84

72+84=156

Please help.. thank you for your assistance :)

Answers

Answer:

the slope is 1 so D

Step-by-step explanation:

Answer:

D.1

Step-by-step explanation:

Hello There!

Given two points we can use the slope formula to identify the slope

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

Where the x and y values derive from the points given

So all we have to do is plug in the x and y values from the given points

so

slope =

[tex]\frac{8-3}{3-(-2)} \\8-3=5\\3-(2)=5\\\frac{5}{5} =1[/tex]

So we can conclude that the answer is D. 1

A store is offering a discount of 15% on fishing rods what is the amount a customer will pay for a rod regularly priced at $25.00

Answers

Answer:

$21.25

Step-by-step explanation:

$25 x 0.85 = $21.25

What is the value, in degrees, of x?

Answers

Answer:

x°=180-45-60=75°is your answer

The length of a rectangle is one less than twice its width. The area is 66 square centimeters. Find the length and width.

Answers

Answer:

I. Length, L = 11 cm

II. Width, W = 6 cm

Step-by-step explanation:

Let the length of the rectangle be L.

Let the width of the rectangle be W.

Given the following data;

Area of rectangle = 66 cm²

Translating the word problem into an algebraic expression, we have;

L = 2W - 1 .....equation 1

We know that the area of a rectangle is given by the formula;

A = L * W

Substituting

66 = L * W ....equation 2

Substituting eqn 1 into eqn 2, we have;

66 = (2W - 1) * W

66 = 2W² - W

2W² - W - 66 = 0

Note: the standard form of a quadratic equation is ax² + bx + c = 0

a = 2, b = -1 and c = -66

Solving the quadratic equation using the quadratic formula;

The quadratic equation formula is;

[tex] x = \frac {-b \; \pm \sqrt {b^{2} - 4ac}}{2a} [/tex]

Substituting into the equation, we have;

[tex] x = \frac {-(-1) \; \pm \sqrt {1^{2} - 4*2*(-66)}}{2*2} [/tex]

[tex] x = \frac {1 \pm \sqrt {1 - (-528)}}{4} [/tex]

[tex] x = \frac {1 \pm \sqrt {1 + 528}}{4} [/tex]

[tex] x = \frac {1 \pm \sqrt {529}}{4} [/tex]

[tex] x = \frac {1 \pm 23}{4} [/tex]

[tex] x_{1} = \frac {1 + 23}{4} [/tex]

[tex] x_{1} = \frac {24}{4} [/tex]

x1 = 6

We do not need the negative value of x, so we proceed.

Therefore, Width, W = x1 = 6 cm

Next, we find the length L;

From eqn 1;

L = 2W - 1

L = 2(6) - 1

L = 12 - 1

L = 11 cm

The fourth term in an arithmetic sequence is 18 and the seventh term is 39. If the first term is a1 , which is an equation for the nth term of this sequence?

Answers

Answer:

           aₙ = 7n - 10

Step-by-step explanation:

The nth term:  [tex]a_n=a_1+d(n-1)[/tex]

So:

    a₄ = a₁ + 3d

18 =  a₁ + 3d   ⇒   3d =  18 - a₁

    a₇ = a₁ + 6d

39 = a₁ + 6d

39 = a₁ + 2(18 - a₁)

39 = a₁ + 36 - 2a₁

39 = 36 - a₁

a₁ = -3

3d = 18 - (-3)

3d = 21

d = 7

So the nth term:

                            [tex]a_n = -3 + 7(n-1)\\\\a_n=-3 +7n - 7\\\\a_n = 7n - 10[/tex]

Can you please help me please please help

Answers

Answer:

there is the answers❤ sorry its a little blurry

WORTH 30 POINTS ILL MARK BRAINLIEST
for the equation y=x^2+6x+4
a) use completing the square to change the following equation to graphing (vertex) form
include steps

Answers

Step-by-step explanation:

[tex]y = {x}^{2} + 6x + 4[/tex]

[tex]y - 4 = {x}^{2} + 6x[/tex]

[tex]y - 4 + 9 = {x}^{2} + 6x + 9[/tex]

[tex]y + 5 = (x + 3) {}^{2} [/tex]

[tex]y = (x + 3) {}^{2} - 5[/tex]

You have been asked to analyze the popcorn recipes of three different local theatres in order to figure out which theatre has the best popcorn. In this case, the "best" popcorn is the most buttery! In your quest to find the best, you meet with each theatre manager individually and ask for the ratio of oil to popcorn kernels that they use in their recipes. Here are their responses.

The manager of Theatre A says that they usually go through about 15 cups of popcorn kernels and about 5 cups of oil each weeknight.
The manager of Theatre B says that they order 18 cups of oil and 72 cups of popcorn kernels each week.
The manager of Theatre C says that their concessions use 6 cups of oil and 32 cups of popcorn kernels on a busy Saturday.
You also ask about the amount of salt each theatre uses in their recipe. Their responses are below.

Theatre A uses 2 cups of salt for
every 10 cups of oil.

Theatre B uses 1/8 cup salt for every cup of oil.

Theatre C uses 1 cup of salt for every 6 cups of oil.

For Theatre C, the ratio of oil to popcorn kernels can be described by the equation _____.

O = 4 × P
O = 1/4 × P
O = 3/16 × P

Answers

i also want to understand lets see who answers it

B = 1/4xP not for sure but I think that’s it hope u get it right

friends help me out


state true or false

0 is the multiplicative inverse of 0?​

Answers

Answer:

false

Step-by-step explanation:

I say false because the multiplicative inverse of 0 is undefined and the multiplicative inverse tells us that when you multiply a number by its inverse the product will be1 think the multiplicative inverse of 0 is undefined.

COME ONNNNN JSUT PLEASEE HELPPPPPPPPPPPP

Answers

Answer:

yeah sure

Step-by-step explanation:

Answer 9 : 1

Answer 10 : 8b²/3a³c³

Find the slope of the line that passes through (5,2) and (10,7).

Approximate the answer to two decimal places.

Answers

Answer:

Hi! The nswer to your question is m = 1

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

Answer:

1

Step-by-step explanation:

The formula for slope is y2-y1/x2-x1.

So the y2 is 7 and the y1 is 2. The x2 is 10 and the x1 is 5. So when you plug those in you have 7-2/10-5. That simplifies to 5/5 which is 1.

hey can someone help me with this immediately! i’ll be giving out brainiest if u don’t leave a link and don’t guess!

Answers

Answer:

2(209 + 467) - 9/10

Step-by-step explanation:

Find the measure of b.

Answers

Answer:

b = 90º

Step-by-step explanation:

b is also 90º because the angles are supplementary

Answer:

90 degrees

Step-by-step explanation:

Giving brainlist to who ever answers this

Answers

Answer:

N=47.3

Step-by-step explanation:

hope it helps.I have minused90 because that is a 90 degree angle

Genuinely confused please help

A business has a profit of $32,000 in 1990 that increased by 15.5% each year. Find the profit of the company after 3 years.

Please help as I have no clue how you can't get a whole number

Answers

Answer: $49,305.56

Step-by-step explanation:

A(t)=a(1+r)^t (its subtraction if the thing decreases)

A(t)=amount after t time periods

t=number of time periods

a=initial amount

r=rate of growth (can’t be a percent, change by moving two decimal places)

A(t)=32000(1+0.155)^3

pls help if you understand thank you

Answers

Answer:

f(5) =7

Step-by-step explanation:

According to the graph,

since y=f(x) thus means the value of y when x=5

the answer is 7

Which expression is equivalent to sqrt 36/25

Answers

Answer:

There are a lot of expressions that are equivalent to that, please be more specific.

Step-by-step explanation:

can sombody help me with this question? plz

Answers

Answer:

hhhqh

Step-by-step explanation:

j;l khnjugo8;e7rigum  fkjsdlkgj

PLEASE HELP!!!!!!!!!!!!! 50 POINTS!!!!!!
Here are four expressions that have the value -12:
-14+(-14)
12−1
-214
-12
Write five expressions: a sum, a difference, a product, a quotient, and one that involves at least two operations that have the value -34.

Answers

Answer:

only one has the value of -12

Step-by-step explanation:

like what

Question: Here are four expressions that have the value -12:

-14+(-14)

12−1

-214

-12

Write five expressions: a sum, a difference, a product, a quotient, and one that involves at least two operations that have the value -34.

Answer: That means reducing the expression to a numeric value, or its simplified form. ... Difference between algebraic expression and algebraic equation An algebraic expression is a ... SUBSTITUTION Any algebraic expression may have one or more variable. ... Take this one as an example Five times the sum of four and two.

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided

Solve the exponential equation

Solve exponential equation 1/16=64^4x-3

Answers

Answer:

x = 7/12

Step-by-step explanation:

Solve the exponential problem :

1/16=64^4x-3

1 / 4^2 = 4^3(4x - 3)

4^-2 = 4^3(4x - 3)

-2 = 3(4x - 3)

-2 = 12x - 9

-2 + 9 = 12x

7 = 12x

7/12 = 12x/12

7/12 = x

Hence, x = 7/12

Answer is 7/12, or approx. 0.58333... Answer explained in attached file.

If f(1)=-2 and f(n)=3f(n-1)-5, then f(3)=

Answers

Answer:

f(3) = - 38

Step-by-step explanation:

f(2) = 3 f(2 - 1) - 5 = 3 f(1) - 5 = 3(-2) - 5 = -6 - 5 = -11

f(3) = 3 f(3 - 1) - 5 = 3 f(2) - 5 = 3(-11) - 5 = - 33 - 5 = - 38

Quadrilateral EFGH is on a coordinate plane. Segment FG is on the line 3x − y = −2, and segment EH is on the 3x − y = −6. Which statement proves how segments FG and EH are related?

Answers

Answer:

the slope of both lines are the same.

Step-by-step explanation:

Given the following segment of the Quadrilateral EFGH on a coordinate  Segment FG is on the line 3x − y = −2,

segment EH is on the 3x − y = −6.

To determine their relationship, we can find the slope of the lines

For line FG: 3x - y = -2

Rewrite in standard form y = mx+c

-y = -3x - 2

Multiply through by-1

y = 3x + 2

Compare

mx = 3x

m = 3

The slope of the line segment FG is 3

For line EH: 3x - y = -6

Rewrite in standard form y = mx+c

-y = -3x - 6

Multiply through by-1

y = 3x + 6

Compare

mx = 3x

m = 3

The slope of the line segment EH is 3

Hence the statement that proves their relationship is that the slope of both lines are the same.

The slope of the lines is the same, the line segments FG and EH are parallel to each other and are the opposite sides of the quadrilateral.

What is the equation of a line?

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is constant.

The slope of the line segment FG can be found by comparing the equation with the equation of the line. Therefore,

y = mx + c

-2 = 3x - y

- 2 - 3x = -y

y = 3x + 2

Thus, the slope of the equation is 3.

The slope of the line segment EH can be found by comparing the equation with the equation of the line. Therefore,

y = mx + c

3x - y = -6

-y = 6 - 3x

y = 3x+6

Thus, the slope of the equation is 3.

Since the slope of the lines is the same, the line segments FG and EH are parallel to each other and are the opposite sides of the quadrilateral.

Learn more about Equation of Line:

https://brainly.com/question/21511618

#SPJ5

Solve the right triangle

Answers

Answer

measure of angle A: 28 degrees

BC ≈ 13.3

BA = 28.3

hope this helps

Step-by-step explanation:

angle A

90- 62 = 28

angle A = 28

BC

tan (A) = BC / 25

(25) tan 28 = BC / 25 (25)  multiply 25 on both sides to cancel it out from BC

13.292735 = BC

BC ≈ 13.3

BA

BA^2 = 13.3^2 + 25^2  Pythagorean theorem

BA ≈ 28.3

If any of these are wrong, just follow the steps and make sure to use Ans in the calculator instead of rounding your numbers! Good luck :)

2 The Lee family drove 450 miles in 6 hours. If they drove at this rate of speed the entire time,
how far did they go in 4 hours?
birto the

Answers

Answer:

300

Step-by-step explanation:

Answer:

Step-by-step explanation:

Total miles = 450

Unit rate = 450 ÷ 6 = 75 miles

Distance in 4 hours = 75 x 4 = 300 miles

The Lee family drove 300 miles in 4 hours

Consider this exponential equation:
f(x) = 5(3)^x
Identify the following:
Domain
Range
Y-intercept

Answers

Step-by-step explanation:

F( x ) = 5 (3) ^ x

Y intercept

Let x = 0

f(0) = 5× 3 ^ 0

f(0 = 5 × 1

f(0) = 5

X intercept

let y = o

0 = 5 × 3 ^x

No x intercept/ zero

therefore

Vertical intercept (0; 5)

Domain XER

▪︎this refer to the values of X

I will give a brainliest

b) Find the equation of the trend line (line of best fit). Show your work. (2 points)​

Answers

Answer:

Step 1:

Draw a graph - Put Customers on the x-axis and Tips on the y-axis

Equation of a line = mx + c

Then look for where the line crosses the x-axis (this is "c")

Choose two points and find the gradient using this formula:

Change in y/change in x

The number you just got is your "m"

Put it all together and you have y = Mx + C

Hope this helps please mark as brainliest :P

Step-by-step explanation:

Answer:

y = 1.86211x + 4.42878

Step-by-step explanation:

Given data in the table added to scatter plot and line of best fit calculated using a graphing calculator.

See the attached graph.

The line of best fit is:

y = 1.86211x + 4.42878

Lainey bought a set of 20 markers for $6 sign
What is the cost of 1 marker?

Answers

Answer:

3 cents

Step-by-step explanation:

cost of  20 markers=$6

cost of 1 marker=?

Cost of 1 marker = 6/20 = 3/10 = 0.3

It costs 3 cents.

Please help me with this question ASAP

Answers

Answer:

Volume: 30

SA: 62

LA: 42

Step-by-step explanation:

Volume: V=l*w*h= 3*2*5= 30

SA: 2(lw+lh+wh)= 62

LA= 2h(l+w)= 42

Answer:

multiply each side for the answer

Step-by-step explanation:

:> hope you pass!

Lin ran 29 meters in 10 seconds. she ran at a constant speed. At this rate, how far can she run in 1 minute

Answers

Answer:

2.9 per second

Step-by-step explanation:

174 meters in 1 minute.

If we take 29m and divide it by 10s, we get a value of 2.9. To find how much she can run in 1 minute, just take 60(secs) and multiply by 2.9.
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