Complete the steps to solve the equation -18x - 17 = 107 write the original equation apply the addition property of equality

Answers

Answer 1
Answer:

[tex]-\frac{62}{9}[/tex]

Step-by-step explanation:

The properties of equality state that you are allowed to perform operations on an equation as long as the operations are done equally on both sides.

Solving the Equation

First, rewrite the equation

[tex]-18x - 17 = 107[/tex]

Next, apply the addition property of equality and add 17 to both sides

[tex]-18x=124[/tex]

Finally, apply the division property of equality and divide both sides by -18

[tex]x=\frac{124}{-18}[/tex]

Then, simplify for the final answer (divide numerator and denominator by 2)

[tex]x=-\frac{62}{9}[/tex]

Related Questions

I need help.ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

use a kittykat proportion

Step-by-step explanation:

solve pls brainliest

Answers

Answer:

63

Step-by-step explanation:

Multiply each side by 9

4y=252

Divide by 4

y=63

Answer:

y= 63

Step-by-step explanation:

Please help!

consider the function f(x)=-(x+2)^2+4
2 + 4.

a) in what form is this quadratic function written? _________________________


b) list the values of the following parameters

a = ______

h = ______

k = ______

vertex = ___________

c) what will the a parameter do to this function?

Answers

Answer:

Below,

Step-by-step explanation:

f(x)=-(x+2)^2+4

(a) Vertex form

(b)  a = -1 , h = -2 and k = 4.

     vertex = (-2, 4)

(c) The value of a, -1 will invert it vertically or we can describe it as a reflection in the line y = 4. The graph will change from a U shape to a ∩ shape.

Brainlest if u get it right​

Answers

Answer:

A. would be best I'm pretty sure

Step-by-step explanation:

Answer: A.

Step-by-step explanation: With this option, everyone in that middle school is involved, and not just eighth-graders, math club students, or detention students.  Option A is a unbiased sample, therefore, that's your answer.

Hope this helps! :)

3) Kristin's grandparents started a savings account for her when she was born. They invested $500 in an account that pays 8% interest compounded annually. Write an equation to model the amount of money in the account on Kristin's xth birthday. a. b. How much money is in the account on Kristin's 16th birthday? (Show how you got your answer!)

Answers

The total amount accrued, principal plus interest, with compound interest on a principal of $500.00 at a rate of 8% per year compounded 1 times per year over 16 years is $1,712.97.

Compound interest

Given Data

Principal = $500Rate = 8%Time = 16 years

A = P + I where

P (principal) = $500.00

I (interest) = $1,212.97

Calculation Steps:

First, convert R as a percent to r as a decimal

r = R/100

r = 8/100

r = 0.08 rate per year,

Then solve the equation for A

A = P(1 + r/n)^nt

A = 500.00(1 + 0.08/1)^(1)(16)

A = 500.00(1 + 0.08)6(16)

A = $1,712.97

Learn more about compound interest here

https://brainly.com/question/24924853

determine the equation of the circle with center (0,6) containing the point (74,2)

Answers

The circle with center (0,6) containing the point (74,2) has an equation of x² + (y - 6)² = 74.1²

How to calculate the equation of a circle

The equation of a circle is:

(x - h)² + (y - k)² = r²

Where (h, k) is the center and r is the radius.

The circle with center (0,6) containing the point (74,2). Hence:

[tex]Radius=\sqrt{(2-6)^2+(74 -0)^2}=74.1\ unit[/tex]

The equation is:

x² + (y - 6)² = 74.1²

Find out more on circle at: https://brainly.com/question/24375372

Help on this please.

Answers

Answer: 46 degrees

Step-by-step explanation:

Since all four verties of the quadrilateral lie on the circumference of the circle, this is a cyclic quadrilateral.

Using the fact that this is a cyclic quadrilateral, we know that the opposite angles must be supplementary. Therefore, 134+x=180, meaning x=46.

What is the value of x in the figure?


Enter your answer in the box.


x =

Answers

Answer:

68 degrees

Step-by-step explanation:

The straight horizontal line is a straight angle with 180 degrees it is split in a way that you know under the right angle, is another right ange making up part of the 180° line, add 22 and then subtract what you get from 180 to get 68.

A simpler way, add the angles in the X and 22 degree things and there is a right angle, 90 degrees, subtract 22 from 90 and get 68

Two different ways, either will work

Hope this helps!

Angles are complementary

x+22=90x=90-22x=68

x is 68°

For each of the figures, write an absoulute value equation that has the following solution set.

Answers

The solution set -18 and 0 are the true values of the absolute value equation

The absolute value equation that has the a solution set of -18 and 0 is |x + 9| = 9

How to determine the absolute value equation?

From the figure, the solution sets of the absolute value equation are given as:

x = {-18, 0}

Calculate the mean of the solution set

Mean = 0.5 * (-18 + 0)

Mean = -9

Calculate the difference of the solution set divided by 2

Difference = (0 + 18)/2

Difference = 9

The absolute value equation is the represented as:

|x - Mean| = Difference

Substitute known values

|x + 9| = 9

Hence, the absolute value equation that has the a solution set of -18 and 0 is |x + 9| = 9

Read more about absolute value equation at:

brainly.com/question/2166748

Answer:

|x+9|=9

Step-by-step explanation:

Solve this problem please and thank you.

Answers

Answer:

  B

Step-by-step explanation:

The given expressions can be compared by putting each in standard form.

A. -8 -7n +16n = (-7+16)n -8 = 9n -8

B. 9(n -8) = 9n -72 . . . . different from the others

C. n -8 +8n = (1 +8)n -8 = 9n -8

D. 9n -8

_____

The standard form of a polynomial expression has the variable terms in decreasing order by degree

Asia has a jar of marbles. She randomly selects a marble from the jar, records its color, and returns it to the jar. She repeats this 74 times. Her results are shown in the table. A frequency table shows each outcome and its frequency. Red, thirteen times. Blue, twenty times. Green, twenty-two times. Yellow, nineteen times. What is the experimental probability of Asia choosing a green marble?

Answers

Answer:Experimental probability = 0.297

Step-by-step explanation: experimental probability = number of times event occurs/total number of trials
Probability = 22 divided by 74 = 0.297

Therefore the experimental probability of choosing green marble is 0.297.

What is 8 * 8?
8*8 =
A. 64
B. 24
C. 91
D. 8

Answers

Answer: A. 64

Step-by-step explanation:

8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 = 64

Give the slope of y+2=3(x-7) and point on the line

Answers

Step-by-step explanation:

y+2=3(x-7)

y+2=3x-21

y=3x-21-2

y= 3x-23

Slope is 3

Answer:

Slope intercept form;

y = mx + b

Where y is the independent variable, and x is the dependent variable, 'm' represents the slope and 'b' represents the y intercept.

We are given;

y + 2 =3(x - 7)

So we rearrange this into slope intercept form.

y + 2 = 3(x - 7)

Simplify:

y + 2 = 3x - 21

Apply inverse operation of addition (subtraction).

-2           -2

y = 3x - 23

What is the solution to the equation below?
5x = 2x + 12
O A. x = 4
B. x= 12
C. x= 6
O D. No Solutions
SUBM

Answers

Answer:

5x=2x+12

5x-2x=12

3x=12

x=4

A is the coreect one

I really need help to understand this problem for my end of course exam!!!!

Answers

Answer:

D. [tex]13(2.81)^n[/tex]

Step-by-step explanation:

[tex]13(1.09)^{12n} < ==exponents\ first\(PEMDAS)\\\\13(2.8126)^n < ==approximate\\\\13(2.81)^n[/tex]

Hope this helps!

HELP!!! The diameter of a circular wall hanging is 4 ft. What is the area of the wall hanging to the nearest tenth? Use 3.14 for π.
A: 3.1 ft2
B: 12.6 ft2
C: 9.4 ft2
D: 6.3 ft2

Help it’s do in 5 minutes

Answers

Answer:

B

Step-by-step explanation:

Area of circle= πr²

Start by finding the radius:

Diameter= 2(radius)

4= 2(radius)

radius= 4 ÷2

radius= 2 ft

Area of circular wall hanging

= 3.14(2²)

= 3.14(4)

= 12.56

= 12.6 ft² (nearest tenth)

Thus, option B is correct.

A- 5 = 31
0.5b - 5 = 31
2c - 5 = 31

Answers

Answer:

what is the question?

Step-by-step explanation:

Convert [tex]\frac{7\pi }{4}[/tex] to degrees.

Answers

It’s 315°

To explain

7pi 180°
—— * ——-
4 pi

The pi cancels out because they are across from eachother
Which leaves
7/4 and 180
We divide 180 by 4=45°
And now 45° multiplied by 7 is equal to 315°

The point (6, - 5) is reflected across the y axis what is the new point

Answers

Answer:

  (-6, -5)

Step-by-step explanation:

Reflection across the y-axis leaves the point on the same horizontal line, but with the sign of its x-coordinate changed.

  (x, y) ⇒ (-x, y) . . . . . reflection across the y-axis

  (6, -5) ⇒ (-6, -5)

The image point is (-6, -5).

2/3 x 12 write in simplest form.

Answers

2/3 ×12

= 2/1 × 4

= 2× 4

=8

........

Find the mean of the following data set: 20, 22, 24, 25, 29, 30, 32, 36​

Answers

27.25 because you add up all of the numbers than divide them by the number of numbers which is 8

Answer:

27.25

Step-by-step explanation:

we find the mean by adding all the values and dividing by the number of values.

Pls help ill give 15 brainliest and 5 starts question is down below

Answers

Answer:

Area of right angle triangle is axb/2

3x4/2 = 6 sq. Cm

Area of parallelogram = bxh

20x21.5 = 430 in2

Answer:

Area of the triangle: 6 cm
Area of the parallelogram: 430 in²

Step-by-step explanation:

Area of a triangle formula is base * height * 1/2, in this case 4 * 3 * 1/2, which equals 6.

Area of a parallelogram formula is base * height, in this case 21.5 * 20 which equals 430.

please solve the system of equations below thank you
explain if u can

Answers

First let’s try to cancel out the x
5x + -5x = 0
Add the y and the numbers together
-3y + -2y = -5y
26 + -16 = 10
-5y = 10
y = -2
Use y=-2 in one of the equations
-3(-2) + 5x = 26
6 + 5x = 26
5x = 20
X = 4

So
Y= -2
X= 4

https://mathsmadeeasy.co.uk/gcse-maths-revision/simultaneous-equations-gcse-maths-revision/

Check this link out for more help!

what are the solutions to the equation?

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♪[/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \:f(x) = g(x)[/tex]

[tex]\qquad \sf  \dashrightarrow \:x + 2 = - {x}^{2} + 4[/tex]

[tex]\qquad \sf  \dashrightarrow \: {x}^{2} + x + 2 - 4 = 0[/tex]

[tex]\qquad \sf  \dashrightarrow \: {x}^{2} + x - 2 = 0[/tex]

[tex]\qquad \sf  \dashrightarrow \: {x}^{2} + 2x - x - 2 = 0 [/tex]

[tex]\qquad \sf  \dashrightarrow \:x(x + 2) - (x + 2) = 0[/tex]

[tex]\qquad \sf  \dashrightarrow \:(x + 2)(x - 1) = 0[/tex]

Hence, x = -2 or x = 1

10 POINTS!


A restaurant manager collected data and created the histogram shown below.



Which of the following statements accurately describes the information in the graph?

A.

The age range with the highest number of visitors is 11-20.

B.

The age range with the highest number of visitors is 31-40.

C.

The age range with the lowest number of visitors is 1-10.

D.

The age range with the lowest number of visitors is 21-30.

Answers

Answer:

B

Step-by-step explanation:

Answer:

I think it's C

Step-by-step explanation:

Multicultural Studies!
HELP PLEASE

Gisela didn't say anything when her friend made a joke about the texture of
Black people's hair. What is Gisela showing?
O A. Assertive behavior toward racism
B. Institutional racism
C. Passive acceptance of racism
D. Intolerance toward racism

Answers

Answer:

It is Passive acceptance of racism, There was no reason why she needed to say black people unless she wanted to downplay them. She is being racist because she saying that only black people have this type of texture. If her friend made a joke like this then she would do worse jokes like calling black people monkeys (aka N's that the definition of the N-word monkey).

-77 Rational of Irrational?

Answers

Answer:

Rational

Step-by-step explanation:

A rational number includes any whole number, fraction, or decimal that ends or repeats. An irrational number is any number that cannot be turned into a fraction, so any number that does not fit the definition of a rational number.

A simple random sample is drawn from a normally distributed population, and when making a statistical inference about the population mean, the margin of error is found to be 5. 9 at a 95% level of confidence. If the mean of the sample is 18. 7, what is the 95% confidence interval for the population mean? 18. 7 ± 5. 9 18. 7 ± 9. 7 18. 7 ± 11. 6 18. 7 ± 15. 2.

Answers

The margin of error is a statistic that expresses how much random sampling error there is in a survey's results. The population mean with a 95% confidence interval is 18.7±5.9.

What is the margin of error?

The margin of error is a statistic that expresses how much random sampling error there is in a survey's results. The wider the margin of error, the less confident one should be that a poll result reflects the outcome of a population-wide survey.

In order to find the population of the mean, we need to subtract the margin of error from the sample mean. Therefore, the population mean with a 95% confidence interval is 18.7±5.9.

Learn more about Margin of Error:

https://brainly.com/question/6979326

A

the angle of elevation from point a to the top of a hill is 499.

if point a is 400 feet from the base of the hill, how high is

the hill?

a4

49

Answers

Answer:

899 ft

Step-by-step explanation:

if point a is 400 feet from the base and 499 feet away from the top you would need to add 400+499 together to get 899

HELP QUICK EASY QUESTION IM JUST DUM
A factory has 10 pounds of red dye for its marbles. Each batch of
marbles uses 0.2 pound of red dye.
a. Juan says that the factory can make 5 batches of marbles with
the 10 pounds of dye. Explain why his statement is not reasonable.

Answers

Answer:

10 ÷ 0.2=50

Step-by-step explanation:

10 lbs in total. Each batch uses 0.2 lbs.

We can find how many batches can be made by dividing 10 by 0.2.

10 ÷ 0.2=50

Juan is incorrect because if they could only make 5 batches then they would have only had 1 pound of red dye available.

They have 10 pounds of red dye available to make marbles, and if each batch takes only 0.2 lbs of it, then they can make 50 batches of marbles.

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