Point B is on line segment AC. Given AC = 2x + 7, BC =x, and AB =5x -9, determine the numerical length of AB​

Answers

Answer 1

Answer:

11

Step-by-step explanation:

AB = AC-BC

2X +7 -7

OR 5X-9 = X+7

OR X =4

HENCE AB = 5X -9 = 20-9=11


Related Questions

The distance between San Antonio and Houston is 190 miles. Nicholas and Rose each drove
2
5
of the total distance. If Charlie drove the rest of the distance, how many miles did Charlie drive?

Answers

The distance droved by Charlie is about 38 miles

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

The distance between San Antonio and Houston is 190 miles. Nicholas and Rose each drove 2/5 of the total distance.

Distance droved by Nicholas = Distance droved by rose = (2/5) * 190 = 76 miles

Distance droved by Charlie = 190 - 76 - 76 = 38 miles

The distance droved by Charlie is about 38 miles

Find out more on equation at: https://brainly.com/question/2972832

2+4+2+ 6+4+5+4+6+3+2+2+1

Answers

Answer:

41

Step-by-step explanation:

2+4+2+ 6+4+5+4+6+3+2+2+1= 41

plz mark brainleist

[tex]\huge\boxed{41.}[/tex]

Given...

[tex]2+4+2+ 6+4+5+4+6+3+2+2+1=\boxed{?}[/tex]

Solution...

[tex]\left[\begin{array}{ccc}2+4=6\\6+2=8\\8+6=14\\14+4=18\\18+5=23\\23+4=27\\27+6=33\\33+3=36\\36+2=38\\38+2=40\\40+1=40\end{array}\right][/tex]

Final answer...

[tex]\huge\boxed{41.}[/tex]

[tex]\boxed{-----------------------------------}[/tex]

[tex]\boxed{Hope\;i\;helped!}\\\\\\\\\huge\boxed{Thanks,Plip.}[/tex]

Need help? Contact me in the future! I am an expert verified Brainly user!

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what is addition property of equality

Answers

In an equation, the additive property of equality states that if we add or subtract the same number to both sides of an equation, the sides remain equal

Answer:

Additive property of equality states that if we add or subtract the same number to both sides of an equation, the sides remain equal.

TRIGONOMETRY QUESTION

Can someone please explain to me on how to find out the angle using trigonometry. I also think you have to use SOH but I’m unsure. Can someone tell me how to find a)

Answers

the length is 4 and the angle is 37

Which inequality represents this sentence? Seven times four is greater than or equal to eight times three.
A. 7 • 4 ≥ 8 • 3
B. 7 • 4 ≤ 8 • 3
C. 7 • 4 < 8 • 3
D. 7 • 4 > 8 • 3

Answers

Step-by-step explanation:

Answer B

7 × 4=28

8×3=24

Thank me later

60 points! Please answer fast and show your work... Thank you!
You would like to purchase the car in 2 years. How much money will you need to invest at a 3.3% interest rate compounded annually in order to have $9500 in 2 years? Use the compound interest formula A = P (1 + i)n. (Round final answer to the nearest cent, but otherwise don’t round any intermediate values)

Answers

Answer:

$ 8902.72

Step-by-step explanation:

We would like to calculate the money which we need to invest at 3.3% rate compounded annually for two years . We know that ,

[tex]\longrightarrow \boldsymbol{ A = P \bigg(1+\dfrac{R}{100}\bigg)^n } [/tex]

where the symbols have their usual meaning . So here ,

Amount = $ 9500 time = 2 years Rate = 3.3% P = The money we need to invest (?)

[tex]\longrightarrow \$ 9500 = P \bigg( 1+\dfrac{3.3}{100}\bigg)^2\\ [/tex]

Simplify RHS ,

[tex]\longrightarrow \$ 9500 = P \bigg(\dfrac{100+3.3}{100}\bigg)^2\\[/tex]

Simplify Nr . in RHS ,

[tex]\longrightarrow \$ 9500 =P\bigg(\dfrac{103.3}{100}\bigg)^2\\ [/tex]

Isolate P ,

[tex]\longrightarrow P = \dfrac{ \$9500\times 100\times 100}{103.3\times 103.3}\\[/tex]

Simplify ,

[tex]\longrightarrow \underline{\underline{\boldsymbol{ P = \$ 8902.72 }}}{} [/tex]

And we are done !

[tex]\bold{Formula: A = P(1 + \frac{r}{100})^{(n)}}[/tex]

Where

A = AmountP = PrincipalR = RateN = time compounded

[tex] \bold{Solution : } \\ \\ \: \: \: \: \tt \: A = 9,500(1+\frac{3.3\%}{100})^{(2)} \\ \: \: \: \: \: \: \tt \: A = 9,500(1+ 0.033)^{(2)} \\ \tt \: A = 9,500(1.033)^{(2)} \: \: \\ \tt \: A = 10,137.34 \qquad \: \: \: [/tex]

therefore,I need $10,137.34 if would like to purchase the car.

What is the value of x ?
5.5
9
11.5
13

Answers

Answer:

itz 5.5

Step-by-step explanation:

i just got it right

100 POINTS IF YOU CAN ANSWER THIS QUESTION WITH STEPS:

Answers

30% of the final exam

30% of 363/10(36)108/1010.8

70% of final exam:-

70% of 367/10(36)258/1025.8

What is the percent of decrease from 84 to 21

Answers

Answer:

84 decreased to 21 is 25%

can i have some help

Answers

Answer:

£ 45.6

Step-by-step explanation:

Number of adults ⇒ 12

Number of children ⇒ 26

Total cost of tickets ⇒ £ 1804.80

Cost of an adult's ticket ⇒ £ 51.60

Cost of a ticket for child ⇒ ?

Let the cost of a ticket for child be x.

Therefore,

Total cost = cost of tickets for adults + cost of tickets for children

Total cost = (No. children × Cost of a ticket) + (No.adults × Cost of a ticket)

£ 1804.80 = 26x + 12 × £51.60

1804.80  = 26x + 619.2

1804.80 - 619.2 = 26x

1185.6 = 26x

Divide both sides by 26.

45.6 = x

So,

Cost of a ticket for child is £45.6

Step-by-step explanation:

12 x 51.60 you get the total cost for the adult tickets and all thats left is the total cost - adult ticket cost and then you get the child ticket wirth now all thats left is childs ticket cost % 26

What is y = x 2 + 10 x + 28 in vertex form?

Answers

Answer:

=12x+28

Step-by-step explanation:

you got a bunch of apples. one third is rotten, one fourth is ripe. How much is left?​

Answers

Answer:5/12

Step-by-step explanation:

1/3=4/12

1/4=3/12

=7/12

12/12-7/12=5/12

One bunch = 12
One third of 12 =1/3 *12/1
= 4
Therefore 4 apples are rotten

One fourth of 12 = 1/4 *12/1
= 3
Therefore 3 apples are ripe

Number of apples left =. 12- 3 +4

According to the DMAS rule we have to do Addition first ,so 3+4 = 7

Now we have to subtract 12-7 that will be 5

so therefore number of apples left = 5


Hope it helped you please mark as brainliest

PLZZZZ HELP! write the equation in standard form y=3/4x - 4

Answers

Answer:

3x-4y = 16

Step-by-step explanation:

The sales tax in a major city is 6%. Find the total cost, including the tax charged on a purchase of 500$

Answers

Answer:

$530

Step-by-step explanation:

6% of 500 is 30. Add 500 and 30.

Find the values of < and y.
(8x + 7)
5yº
(7y -- 34)
= (2x - 4)^

Answers

Answer:

x = 11

y = 17

Step-by-step explanation:

We know that opposite angles (or vertical angles) are equal.

So

8x + 7 = 9x - 4

Subtract 8x from both sides of the equation

8x - 8x + 7 = 9x - 8x - 4

7 = x - 4

Add 4 to both sides of the equation

7 + 4 = x - 4 + 4

11 = x

Looking at the other 2 angles,

5y = 7y - 34

Subtract 7 y from both sides of the equation

5y - 7y = 7y - 7y - 34

-2y = -34

Divide both sides by -2

-2y/-2 = -34/-2

y = 17

Answer:

Step-by-step explanation:

Vertically opposite angles are equal.

8x + 7     = 9x - 4          {Add 4 to both sides}

8x + 7 + 4 = 9x

    8x  + 11  = 9x           {Subtract 8x from both sides}

            11 = 9x - 8x

x = 11

7y - 34 = 5y        {Add 34 to both sides}

        7y = 5y + 34          {Subtract 5y form both sides}

  7y - 5y = 34

         2y = 34                {Divide both sides by 2

            y = 34/2

y =17

I bought a sweater for 25% off and paid $30. What was the *original* price? Please explain.

Answers

well, the original price was "x", which oddly enough is the 100%, we also know that 25% off that is 30 bucks, so namely 100% - 25% = 75%, is 30 bucks, so

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} x&100\\ 30&75 \end{array}\implies \cfrac{x}{30}=\cfrac{100}{75}\implies \cfrac{x}{30}=\cfrac{4}{3} \\\\\\ 3x=120\implies x=\cfrac{120}{3}\implies x=40[/tex]

a. What is the slope.

b. What is the y-intercept.

c. Does the graph represent a proportional or non-proportional relationship? Explain and justify your reasoning.

Answers

Answer:

A: 2/3, B: 5, C: Yes because the slope is consistent.

Step-by-step explanation:

Which inequality is shown on the number line below

Answers

Answer:

the first one

Step-by-step explanation:

tttt

Write the point-slope form of the equation of the line that passes through the point (-1,5) and has a slope of -1. Include
your work in your final answer. Type your answer in the box provided to submit your solution.

Answers

Answer:

y= - x + 4

Step-by-step explanation:

The point-slope form of the equation of a line is:

y= m ( x - h )+ k

Where m is the slope and (h,k) is a point through which the line passes.

The slope of the line is m=-1 and it passes through (-1,5), thus the equation of the line is:

y=(-1) ( x - (-1) ) + 5

Operating:

y= - ( x + 1 ) + 5

y= - x - 1 + 5

Simplifying:

y= - x + 4

There were approximately 3 x 10^5 firefighters in the United States in 2012. The average salary of a firefighter was $45,000. About how much did all firefighters in the United States earn from their salary altogether in 2012? Express your answer using scientific notation

Answers

Given the number of firefighters and the average salary, the total salary altogehter is about $1.35 x 10^10

What is scientific notation?

Scientific notation is used simplify large numbers into smaller numbers. In order to transform a number into a scientific notation, the number is written as a decimal number, between 1 and 10 and multiplied by a power of 10.

3 x 10^5 x 4.5^4 = 13.5 x 10^9

= 1.35 x 10^10

To learn more about scientific notation, please check: brainly.com/question/25334755

The value of a baseball card can be represented by the equation y = 3 x + 39, where x represents the number of years that Robert has owned the card and y represents the total value, in dollars, of the card. What was the value of the card when Robert originally purchased it?
$3
$13
$36
$39

Answers

Answer:

the answer should be $39

Answer:

d) 39

Step-by-step explanation:

Erica solved the equation −5x − 25 = 78; her work is shown below. Identify the error and where it was made. (5 points) −5x − 25 = 78 Step 1: −5x − 25 − 25 = 78 − 25 Step 2: −5x = 53 Step 3:negative five times x over negative five = fifty-three over negative five Step 4: x = negative fifty-three over five Group of answer choices Step 1: She should have added 25 to each side. Step 1: She should have divided both sides by −5. Step 3: She should have divided both sides by −5. Step 3: She should have multiplied both sides by −5.

Answers

Answer:

x = -20.6

Step-by-step explanation:

Step 1: −5x − 25 − 25 = 78 − 25

Should be

Step 1: -5x-25+25=78+25

Step 2: -5x=103

Step 3: Divide both sides by -5: x = -20.6

Answer:

Option A. Step 1: She should have added 25 to each side

Step-by-step explanation:

I got it right on my quiz :)

julia’s dad bought a car for $15,000. the purchase price was seven-eighths of its retail price.



what is the decimal value of the discount given to julia’s father by the car dealership?

Answers

Answer: 0.125

Step-by-step explanation: Trust me

Snap ~ daddy_shadet

the image shows this famous mondrian painting. the rectangle in the top left is red, the one in the bottom left is blue and the one in the bottom right is yellow. the remaining ones are white. how many rectangles are the altogether in the painting?

Answers

The number of rectangles in the paintings shown is: 7 rectangles.

What is a Rectangle?

A rectangle is a quadrilateral shape with four sides and four angles.

A rectangle has two opposite sides that are equal to each other and are parallel as well. Also, the interior angles formed by the sides are right angles.

Thus, from the paintings there are:

1 red rectangle4 white rectangles1 blue rectangle1 yellow rectangle

Therefore, the number of rectangles in the paintings shown is: 7 rectangles.

Learn more about rectangles on:

https://brainly.com/question/166401

4. An integer between -5 and -6

Answers

Answer:

The integers are the whole numbers, both positive and negative. The next integer after 5 is 6, so there is no integer between them. Since 5 and 6 are consecutive numbers, it is not possible to squeeze another integer between them. So, the answer is none.

Step-by-step explanation:

please mark me brainliest

Hey there!


-5 between (-6)

= -5 - (-6)

= -5 + 6

= 1


Therefore, your answer is: 1


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

Mangojuicecosts$8.50perquartandbananajuicecosts$6.20perquart.Tyler wants to make a mixture of mange and banana juice that sells for $5.50 per quart. How many quarts "q" of mango juice should he mix with 4 quarts of banana juice to make mango-banana juice at that price? Which equation below represents the situation?

Answers

Answer:

There is no possible combination that will result in mango-banana juice that costs $5.50 per quart if its two ingredients cost $8.50 and $6.20 per quart.

Step-by-step explanation:

the equation you need to solve is:

let M = quantity of mango juice

$8.50M + (4 x $6.20) = (4 x $5.50) + $5.50M

$8.50M + $24.80 = $22 + $5.50M

$24.80 - $22 = $5.50M - $8.50M

$2.80 = -$3M

M = $2.80 / -$3 = -0.933 ⇒ the quantity of mango juice cannot be negative

I need help lollllllllll

Answers

Answer:

the points: T(-6,-8)  U(-1,-4)  V(0,7)  W(5,5)  X(-7,3)  Y(2,5)  Z(6,0)

Hope this helps!

The height h (in feet) of an object dropped from a ledge after x seconds can be modeled by h(x)=−16x2+4. The object is dropped again from a different starting height so that it hits the ground 2 seconds later. Write a function g that models the path of the object the second time it is dropped.

Answers

Answer:

g(x) = - 16x² + 100

Step-by-step explanation:

Given the model:

First drop:

h(x) = - 16x² + 4

Second drop hits the ground 2 seconds later

Function g(x) to model the second drop:

-16t² + V0t + h0

h(x) = - 16x² + 4

0 = - 16x² + 4

16x² = 4

x² = 4/16

x² = 1/4

x = 1/2

2 seconds later :

X = 1/2 + 2

x = 2.5

0 = - 16(2.5)² + 0 + h0

0 = - 100 + h0

h0 = 100

Hence,

g(x) = - 16x² + 100

2x+4/5-6=8

I need help ASAP

Answers

Answer:

x=33/5

Step-by-step explanation:

Let's solve your equation step-by-step.

2x+4/5 −6=8

Step 1: Simplify both sides of the equation.

2x+4/5−6=8

2x+4/5+−6=8

(2x)+(4/5+−6)=8(Combine Like Terms)

2x+−26/5=8

2x+−26/5=8

Step 2: Add 26/5 to both sides.

2x+−26/5+26/5=8+26/5

2x=66/5

Step 3: Divide both sides by 2.

2x/2=66/5/2

x=33/5

Please help, this is probably the last question I'll post for today!

Answers

Answer:

The answer is A.

Step-by-step explanation:

3+6=9

-5-9=-14

-14/2

Hope this helps! :)

Answer:

Answer is A. -7

Step-by-step explanation:

-5-(3+6)/2. PEMDAS (Parenthesis)

-5-9/2 Add/Subtract & Slash and dash = -5 + -9 = -14

-14/7= -7/1 which is just -7

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