Mathematics High School

M is the midpoint of CB, CM = 3x+1, and MB = 5x−9.
Determine the value of x.

Answers

Answer 1

Answer:

x = 5

Step-by-step explanation:

Since both sides are given, set both sides equal to eachother.

3x + 1 = 5x - 9

Segment CM is on the left and segment MB is on the right. From now on, solve for x.

Step 1: Isolate x by itself by subtracting the lesser value

3x + 1 = 5x - 9

-3x -3x the x's on the left cross out

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

1 = 2x - 9

+9 +9 having x on one side

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

10 = 2x

__________________________________________________________

Step 2: Divide each side by 2 to get rid of x's coefficient

10 = 2x

/2 /2

----------

5 = x

Solution: x = 5

__________________________________________________________

Solving for CB: Substitute x for both sides since x = 5

3(5) + 1 = side CM

15 + 1 = side CM

16 = side CM

__________________________________________________________

Solving for CB: Solve for the other side (segment MB)

5(5) - 9 = side MB

25 - 9 = side MB

14 = side MB

__________________________________________________________

Solving for CB: Lastly, add up the sides

16 + 14 = segment CB

30 = segment CB

__________________________________________________________

Answer 2

Applying the knowledge of midpoint of a segment, the value of x = 5.

Given:

[tex]CM = 3x+1\\\\MB = 5x-9[/tex]

To solve this, we would apply our knowledge of Midpoint of a Segment to create an equation that will help us solve for the value of x.

Since M as a midpoint of CB, will divide CB into equal segments.

Thus:

Given that M is a midpoint of CB, therefore,

[tex]CM = MB[/tex]

Substitute

[tex]3x + 1 = 5x - 9[/tex]

Collect like terms

[tex]3x - 5x = -1 - 9\\\\-2x = -10[/tex]

Divide both sides by -2

[tex]x = 5[/tex]

Therefore, applying the knowledge of midpoint of a segment, the value of x = 5.

Learn more here:

https://brainly.com/question/17877300

Related Questions

A law firm is going to designate associates and partners to a big new case. The daily rate charged to the client for each associate is $800 and the daily rate for each partner is $1500. How much would the law firm charge the client daily if 9 associates and 4 partners were assigned to the case? How much would the law firm charge the client daily if aa associates and pp partners were assigned to the case?

Answers

Answer:

$8700

Step-by-step explanation:

Associates cost $800 each, you have 9 associates, so multiply 800 by 9 which gives you: $800x 9= $7200.

Partners cost $1500 each, you have 4 partners, so multiply 1500 by 4 which gives you: $1500x 4=$6000.

Then add the two together like this: $7200+$1500= $8700.

Answer:8000

Associates cost $800 each, you have 9 associates, so multiply 800 by 9 which gives you: $800x 9= $7200.

Partners cost $1500 each, you have 4 partners, so multiply 1500 by 4 which gives you: $1500x 4=$6000.

Then add the two together like this: $7200+$1500= $8700.

5,3,1,2,3,2,4,2,1,6,3,4,3,6 what is the mode to this data

Answers

the answer is three.

Answer:

the mode is 3.

Step-by-step explanation:

when organized, it's in this order:

1, 1, 2, 2, 2, 3, 3, 3, 3, 4, 4, 5, 6, 6

the most repeated number in the dataset is 3.

Round 25.395 to the nearest hundredths.

Answers

Answer:

25.40

Step-by-step explanation:

Answer:

25.40

Step-by-step explanation:

5 rounds up but 9 rounds up to ten so you add one to the tenths

Fernando is starting a new sales job and needs to decide between two different salary plans. For Plan A, he will earn $100/week plus 15% commission on all sales. For Plan B, he will earn $150/week plus 10% commission on all sales. For what amount of weekly sales are the two plans equal?

Answers

Answer:

At 10 weeks

Step-by-step explanation:

100+15x=150+10x

15x=50+10x

5x=50 divided both sides by 5 and x=10

what is 1080 miles on 15 gallons

Answers

Answer:

72 miles per gallons

Step-by-step explanation:

also can i have brainliest

a vehicle rental company charges $25 to rent a moving van plus $50 for each mile traveled . which equation represents the total cost of renting a van if you spend a total of $35 and drive , d mile

Answers

Answer:

25+d(0.50)

Step-by-step explanation:

It costs 25 dollars to rent a vehical but its 50 cents per each mile.

what is the square root of 199 lie between

Answers

Hi!

I'm assuming the question means what integers, so let's figure it out.

Starting from 12, 12 squared is 144, or the square root of 144 is 12.

13 squared is 169, or the square root of 169 is 13.

14 squared is 196, or the square root of 196 is 14.

15 squared is 225, or the square root of 225 is 15.

Based on that list of numbers, we can determine that the square root of 199 lies between the square root of 196 and the square root of 225 -- aka 14 and 15.

The square root of 199 it’s 14.10 approximately 14.1

54÷6+0.42×(9×8÷2+82)

Answers

Answer:

58.56

Step-by-step explanation:

Answer: 58.56
Solving Steps:

David can complete 4 math problems in 15 minutes. He has 20 math problems to do. How long will it take him to finish his test?

Answers

Answer:

75 min or 1 hour and 15 min

Step-by-step explanation:

15/4

=3.75

3.75*20

=75

You and a friend are paid $38.25 for doing yard work.
You worked 2.5 hours and your friend worked 2 hours.
You split the money according to the amount of time
each of you worked.
How much money did you make in an hour?

Answers

$38.25 divided by 4.5 hours = $8.50 an hour
I must’ve made $21.25 total and my friend made $17
Therefore, I made $8.50 an hour.

In a circle with radius 0.2,
an angle intercepts an arc
of length 0.1. Find the
angle in radians to the
nearest 10th

Answers

Answer: 0.5

Step-by-step explanation:

Last year, Pinwheel Industries introduced a new toy. It cost $ 4 , 300 to develop the toy and $ 25 to manufacture each toy. Fill in the blanks below as appropriate. A.) Write a linear equation in the form C = m n + b that gives the total cost, C , to produce n of these toys:

Answers

Answer:

C=25n+4300

Step-by-step explanation:

Given that,

Last year, Pinwheel Industries introduced a new toy. It cost $4 ,300 to develop the toy and $25 to manufacture each toy.

We need to write a linear equation in the form C=mn+b that gives the total cost, C, to produce n of these toys.

Here, m will be cost for each toy and b is the cost to develop each toy. So,

C=25n+4300

Hence, this is the required solution.

Fill out the following data table using the equation y=3x-5

Answers

You should put this into a graphing calculator! They have an option to put the equation in and it shows you the table that goes with it!

i need help plzzzzsww

Answers

it's the third one, slope -1 y intercept 3

PLz answer this Question

Answers

-3,6 i'm pretty sure

y=3/6+(-3)
I hope that helps!!

Can someone simplify8x + 5x please

Answers

Answer:

13x

because you would comibne like terms, so you add the 8 and 5.

Answer:

x=0

Step-by-step explanation:

Simplifying

8x + 5x = 0

Combine like terms: 8x + 5x = 13x

13x = 0

Solving

13x = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Divide each side by '13'.

x = 0

Simplifying

x = 0

Write an inequality to equal y < -5

Answers

Answer:

2y - 3 < -13

Hope this helps

Find the 81st term of the arithmetic sequence 24, 11, -2, ...24,11,−2,

Answers

Answer:

-1029

Step-by-step explanation:

24, 11, -2...

f(n) = 24 - 13n

f(81) = 24 - 13(81) = 24 - 1053 = -1029

(1008.5)(2) pleasee helpp

Answers

Answer:

2,016.4

Step-by-step explanation:

Given g(x) =
1/4(15 - x)^2
what is the value of g(7)?

Answers

Answer:

Step-by-step explanation:

Substitute (7) into the equation.

y= 1/4(15-(7))^2

2.4x + 4.6x = 28 Could someone help me with this problem I need it.

Answers

2.4x + 4.6x = 7
7x = 28
X = 4

Answer:

x = 4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Step-by-step explanation:

Step 1: Define

2.4x + 4.6x = 28

Step 2: Solve for x

Combine like terms (x): 7x = 28Divide 7 on both sides: x = 4

Step 3: Check

Plug in x to verify it's a solution.

Substitute in x: 2.4(4) + 4.6(4) = 28Multiply: 9.6+ 18.4= 28Add: 28 = 28

Here we see that 28 does indeed equal 28.

∴ x = 4 is a solution of the equation.

A cleaning mixture requires 5 cups of water for every 2 cups of solution which ratio of cups of water to cups of solution will make the same cleaning mixture?
a. 15:6
b. 8 :20
c. 60;18
d. 20:14

Answers

Answer:

a.15.6

Step-by-step explanation:

simplify all the ratios to their simplest forms.

15/3:6/3

5:2

I FORGOT HOW TO DO THIS I NEED HELP ASAP!!!

Answers

Slope form: y=mx + b
slope is 2/5, fill into equation
Y = 2/5x + b
Plug in point to find b
1 = 2/5(0) + b
1 = 0 + b, b = 1
The answer is A. Y = 2/5x + 1

how do i solve for c 0.2(c - 3)= -10

Answers

Answer: c = -47

Step-by-step explanation:

1. Divide both sides

2. Move the constant to the right

3. Calculate

Answer:

c = -47

Step-by-step explanation:

Here's how!

0.2(c - 3) = -10 (distribute 0.2 to c and -3)

0.2c - 0.6 = -10 (add 0.6 to both sides)

0.2c = -9.4 (divide by 0.2 on both sides)

c = -47

Plug in

0.2(-47 - 3) = -10 (add -47 and -3)

0.2(-50) = -10 (distribute)

-10 = -10

Hope this helps!!

are the two lines parallel,perpendicular, or neither ?

Answers

Answer:

1. neither

2. neither

3. parallel

4. perpendicular

Step-by-step explanation:

Is this true or false? Pls help a dumb person out

Answers

it shows that the chart is false. Hope it helps

Mr. Johnson has a piece of pipe 5 1/3 feet long. He decides to cut it into 3 equal pieces to use in making a railing for his porch. How long should he cut each piece?

Answers

Answer: 1.78 repeating

Step-by-step explanation:

Answer:

1 7/9

Step-by-step explanation:

Hope this helps. Pls give brainliest.

Why is the function below called a rational function?

f(x) =x+3
——
x-2

Answers

a rational function is any function which can be defined by a rational fraction, which is an algebraic fraction such that both the numerator and the denominator are polynomials

Adam is d years old and Brandon is b
old and Brandon is b years older than Adam.
In how many years will Brandon be twice as old as Adam is now?

Answers

Answer:

-b years from now

Step-by-step explanation:

The age of Adam = d

The age of Brandon = b

The number of years Brandon is older than Adam = b

Therefore;

b = d + b

∴ d = 0

Therefore, Brandon will be twice as old as Adam is now when Brandon is 2 × 0 = 0 years

The number of years before Brandon will be twice as old as Adam is now = 0 - b = -b years from now

If in the 1980's about 60 million families had Tv's in their homes and in 2015 there was almost 100 million families that had Tv's in their home how many more Tv's were there in 2015?

Answers

Answer: 40 million

Step-by-step explanation:

Number of families that had TVs in their home in 1980s = 60 million

Number of families that had TVs in their home in 2015 = 100 million

To calculate the increase in TVs that were there in 2015, we subtract the number of families that had TVs in their home in 1980s which was 60 million from the number of families that had TVs in their home in 2015 which was 100 million. This can be expressed as:

= 100 million - 60 million

= 40 million

Answer:

it would be 1950 and 45 million

Step-by-step explanation:

Other Questions

What does this painting symbolize?Please Answer ASAP brainliest will be given if answered correctly Write a multiplication equation for "Eight $5 bills are worth $40." What is the subject in the following sentence?The winner of the cooking contest earned a million dollars. what organizations assisted blacks after the civil war What is the spell that has been put on Sir Gawain? 3. It was a foggy night. A dog was barking loudly in a back alley. Empty wooden pallets anddiscarded boxes were scattered across the ground. The dog continued barking. A man with alarge mustache and a chef hat opened a large metal door facing the alley. "Ok! Ok! Quietdown. I hear you." The dog stopped barking and started hopping in circles. The mustachioedman smiled and threw a few large bones to the dog. Plzz pls pls pls pls help me Im stuck simple English questionJudy Blume's career as an American writer spans four decades and includes many literary awards. She is most famous for her novels geared toward pre-teens. One notable example is Tales of a Fourth-Grade Nothing. However, Blume also has had success writing for an adult audience. Three of her novels for adults reached the New York Times best-seller list. In a 2008 interview Blume remarked, "I have so many stories left to tell!" By that time she had written nearly 30 novels. Judy Blume is an exceptionally talented and productive American author.Explain whether the main idea is explicit or implicit in this paragraph.a. It is explicit because it is directly stated in the paragraph.b. It is explicit because it is not directly stated in the paragraph.c. It is implicit because it is directly stated in the paragraph.d. It is implicit because it is not directly stated in the paragraph. Who is someone you thankful for and why? How do scientists organize existing scientific information?A. By classifying objects or events by their characteristicsB. By publishing research results in a journalC. By starting a new research projectO D. By reading about other scientists' researchSUBMIT D=R=Function?Find the domain and range of each relation. Respiration uses the two products from ___ to begin the process1. Photosynthesis 2. Glycolysis3. ATP Solve the following compound inequality.5x + 7 -3 OR 3x - 4 11A. -2 x 5B. x -2 OR x 5C. x -15 OR x 12D. x 5Thank you! "While Aboriginal Australians and many Native Americans remained hunter-gatherers, most of Eurasia and much of the Americas and sub-Saharan Africa gradually developed agriculture, herding, metallurgy, and complex political organization. Parts of Eurasia, and one area of the Americas, independently developed writing as well. However, each of these new developments appeared earlier in Eurasia than elsewhere." - Excerpt from "Guns, Germs and Steel" by Jared Diamond Based on this description what event can you conclude led to these developments? A) smelting iron B) end of pastorialism C) development of government D) development of agriculture which is the best estimate for this expression ?a) 300 b) 40c) 3d)0.4 4. Look at the graph above. What information is on the graph and what does it mean? Please help!!! PLEASE HELP ME!!!Which of these sentences would most likely be used in a note to a friend?O A. I think the Slow Food movement started like 20 years ago. O B. The Slow Food movement traces its beginnings to Italy in 1986. O C. More than 20 years ago, an important movement started. O D. The movement started over 20 years ago and continues to see growth. the difference in energy between the n=1 and n=2 energy levels in a hydrogen atom is 1.64x10^-18 J. what happens when an electron in a hydrogen atom transitions from n=2 to n=1? help me, please!!!!!! Solve for x. Answer Choices: 789-11

M is the midpoint of CB, CM = 3x+1, and MB = 5x−9.Determine the value of x.

Answers

Related Questions

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

M is the midpoint of CB, CM = 3x+1, and MB = 5x−9.
Determine the value of x.