OAB is a triangle
OA = 4a and OB = 5b
M is the midpoint of OB
AN:NB = 2:3
Find OP:PN

OAB Is A Triangle OA = 4a And OB = 5bM Is The Midpoint Of OBAN:NB = 2:3Find OP:PN

Answers

Answer 1

Answer:

5:2

Step-by-step explanation:

ON = OA + AN

AN = 2/5AB

AB = 5b-4a

AN = 2b - 8/5a

ON = 4a - 8/5a +2b

ON = 12/5a+2b

OP = k(12/5a+2b)

OP = OA + AP

AP = x(AM)

AM = 5/2b-4a

OP=4a-4ax+5/2bx

OP=4a-4ax+5/2bx and OP=12/5ak+2bk

Coefficients of A

4-4x=12/5k

k=(20-20x)/12

Coefficients of B

5/2x=2k

k=5/4x

(20-20x)/12 =5/4x

20=35x

x=4/7

k=5/4 * 4/7 = 5/7

OP=k(ON)

OP = 5/7

PN = 2/7

OP:PN = 5:2

I figured it out after posting the question, typing from a different account. I hope this helps somebody.


Related Questions

What does 5 in = how many feet/foot?

Answers

Answer:

5/12

Step-by-step explanation:

Since 12 inches is one foot, the number has to be a fraction number. The answer is 5/12 feet.

1 ft = 12in
1in = 1/12
5 x 1/12
=5/12

find the missing length of a rectangle with a width of 7b^3 and an area of 77a^8b^8​

Answers

Answer:

Step-by-step explanation:

The data set below shows the weights of some puppies, in pounds, at a kennel:

10, 11, 12, 12, 13, 13, 14, 15, 15

Which histogram represents the data set?

Answers

Answer:

The second histogram. and this is because of the arrangement of data which is the puppies

Answer:

I think its A)

Step-by-step explanation:

Integrated math 1 homework

Answers

Answer:

I, III

Step-by-step explanation:

if there are 27 books and only 3 people at least one person must have read more than 7 books as if 3 people each read 7 books that would be 21 books which is less than 27

What is the solution to 3x/4 =7/3

Answers

Answer:

[tex]x=\frac{28}{9}[/tex]

Step-by-step explanation:

[tex]\frac{3x}{4} =\frac{7}{4}[/tex]

[tex]\Longleftrightarrow \left( 3x\right) \times 3=7\times 4[/tex]

[tex]\Longleftrightarrow 9x=28[/tex]

[tex]\Longleftrightarrow x=\frac{28}{9}[/tex]

Three shelves contain a total of 88 DVD's. The first and second shelves contain a total of 54 DVD's.The second and third shelves contain a total of 57 DVD's.The first and third shelves contain a total of ____ DVD's.

Answers

Answer:

Either 27 or 55

If right please make brainleist for others to learn from this answer thanks!

Step-by-step explanation:

Answer:

x=31, y=23, z=34

Step-by-step explanation:

The first shelf is x. The second shelf is y. The third shelf is z.

x+y=54.

y+z=57

x+y+z=88

You can substitute 54 in for x+y in the third equation to solve for z.

54+z=88

Subtract 54

z=34

Now that you know z, substitute it in in the second equation.

y+34=57

y=23

Finally, substitute the known y value into the first equation.

x+23=54

x=31

Your food costs are $2,000.
Your total food sales are $8,500. What percent of your food sales do the food costs represent?

Answers

Answer:

23.53%

Step-by-step explanation:

Given :

food costs = $2,000total food sales = $8,500

Solving :

Food costs / Total Food Sales2000/85004/170.235323.53%

f(x) =2x^3 + 3x^2 - 7x + 2 g(x) = 2x-5 find (f+g)(x)

Answers

Answer:

Step-by-step explanation:

Remark

The way this is written, the notation is directing you to add the right hand sides of the two given polynomials.

Givens

f(x) = 2x^3 + 3x^2 + 7x + 2

g(x) =                        2x - 5                Add

Solution and Answer

Answer: (f + g)(x) = 2x^3 + 3x^2 + 9x -3

Be careful with that - 5. The result is -5 + 2 = - 3                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                

Answer: It's (f+g)(x)=2x^3+3x^2-5x+3

Step-by-step explanation: I just did it.

What number can be divided into 2 equal groups whit out a reminder

Answers

all even numbers

hope it really helps...!!!

Answer:

all even numbers. because when divisible by two there is no reminder

Which expression correctly shows the difference between the product of 8 and 5 and the sum of 8 and 7?
O 8 x (5-8) +7
O (8 x 5) + (8 + 7)
O 8x (5+8)+7
O (8 x 5) - (8 + 7)
feel
Wacom
aer

Answers

Answer:

D. (8 x 5) - (8 + 7)

Step-by-step explanation:

Evaluate the word problem.

The difference (we will be subtracting.) between the product of 8 and 5 (8 * 5) and the sum of 8 and 7 (8 + 7)?

So set it up.

(8 * 5) - (8 + 7)

This is the correct answer because we are taking the difference of the product of 8 and 5 and the sum of 8 and 7.

The line plot shows the heights of the players on a basketball team, in inches.

Part B

he next year, a player who is
71
inches tall is replaced by a player who is
73
inches tall. Otherwise the team remains the same. Is
74
an outlier the next year? Explain.

Answers

A: based on the given dot plot are: statements B, D, and E.

B:  A. No. 74 is not an outlier because it is not different from the other heights in the dot plot.

What is a Dot Plot?

In a dot plot, frequencies of each data point is represented as dots.

Part A:

Thus, in the dot plot given:

Players of 70 1/2 in. tall and above are 7 in number. This is half of the number of the total players. (option B is true).

Players with height of 69 1/2 in. (3 players) are more than those that are 70 in. tall (1). (option A is not true).

One of the player is 68 1/2. (option C is not true).

Four of the players are 74 in. tall (option D is true).

The team has 6 different heights as shown in the dot plot given (option E is correct).

Therefore, the statements that are correct based on the given dot plot are: statements B, D, and E.

Part B:

If a player of 73 in. tall replaces a player of 71 in, tall, 73 is close to 74.

Therefore, we can conclude that: A. No. 74 is not an outlier because it is not different from the otehr heights in the dot plot.

Learn more about dot plots on:

https://brainly.com/question/25957672

(brainliest is gonna begiven answer correctly please) Use the formula V = s³, where V is the volume and s is the edge length of the cube, to solve this problem.

A cube-shaped bin has an edge length of 12 yard.

What is the volume of the container?



Enter your answer, as a fraction in simplest form, in the box.

Answers

Answer:

[tex]\sf V=\dfrac18\: \sf yd^3[/tex]

Step-by-step explanation:

Volume of a cube formula

[tex]\sf V=s^3[/tex]

where:

V = volumes = edge length

Given:

s = 1/2 yard

[tex]\sf \implies V=\left(\dfrac12\right)^3[/tex]

Apply exponent rule [tex](\frac{a}{b})^c=\dfrac{a^c}{b^c}[/tex]

[tex]\sf \implies V=\dfrac{1^3}{2^3}[/tex]

[tex]\sf \implies V=\dfrac18\: \sf yd^3[/tex]

Side=1/2yd

Volume:-

side³(1/2)³1/2³1/8yd³

1. you make a deposits of a 467,00 into an ordinary annuity earning 5.75.7. compounded moyenthly, how many deposits must you make so that you will have atleast & 196.000?​

Answers

50000 would be yout answer for that

Maya is building a model of her city's downtown area. She is constructing part of an office building, as shown below. Each cube has an edge length of 1/6 foot.

The volume of the model building is cubic foot?
A.2/3
B.1/36
C.1/4
D.1/9
E.1/2

Answers

Answer:

B I think my bad if its wrong

Answer: the answer is e

Step-by-step explanation: 1 over 6 multiplied by 9 cubes will give 1.5 which is 1 over 2 . 4 cubes are the length and 2 the width and 3 height s o equal 9 . 9 times 1 over 6 equals 1.5 which is the last one. hope it helps buddy .

Please please give brainliest !!! Thanks .

3. If a = 2, b = -5 and c = 3, determine the value of b(a)+c​

Answers

-5(2) +3
-5*2=-10
-10+3=-7

The answer is -7

Write an equation to find the value of x and solve it. Round your answer to the nearest tenth if necessary.

x =

Write your equation and explain how you came up with your equation and how you solved it. What concepts apply to this problem? How do you know your answer is correct?

Answers

Answer:

x = 3

Step-by-step explanation:

If two secant segments intersect outside a circle, then the product of one secant segment with its external portion equals the product of the other secant segment with its external portion.

[tex](x + 9)(9) = (12 + 6)(6)[/tex]

[tex]9x + 81 = 108[/tex]

[tex]9x = 27[/tex]

[tex]x = 3[/tex]

Mike is working on solving the exponential equation 74^x = 37; however, he is not quite sure where to start. Using complete sentences, describe to Mike how to solve this equation.

Answers

Answer:

Method 1

[tex]74^x = 37[/tex]

Take natural logs of both sides:

[tex]\implies \ln74^x = \ln37[/tex]

Apply the log power rule: [tex]\ln(a)^b=b \ln (a)[/tex]

[tex]\implies x\ln74 = \ln37[/tex]

Divide both sides by ln 74:

[tex]\implies \dfrac{x\ln74}{\ln74} = \dfrac{\ln37}{\ln74}[/tex]

[tex]\implies x= \dfrac{\ln37}{\ln74}[/tex]

[tex]\implies x=0.8389552282...[/tex]

Method 1

[tex]74^x = 37[/tex]

Take logs of base 74 of both sides:

[tex]\implies \log_{74}74^x = \log_{74}37[/tex]

Apply the log power rule: [tex]\log_am^n=n\log_am[/tex]

[tex]\implies x\log_{74}74= \log_{74}37[/tex]

Apply log of the same number as base rule: [tex]\log_aa=1[/tex]

[tex]\implies x= \log_{74}37[/tex]

[tex]\implies x=0.8389552282...[/tex]

Answer:

[tex]x = \log_{74}(37) [/tex]

Step-by-step explanation:

we want to solve the following exponential equation:

[tex] \iff {74}^{x} = 37[/tex]

Taking common logarithm of both sides yields:

[tex]\iff \log{74}^{x} = \log37[/tex]

recall that,

[tex] log( {a}^{x} ) = x log(a) [/tex]

utilizing it yields:

[tex] \iff x \cdot\log{74} = \log37[/tex]

divide both sides by log74:

[tex]\iff \dfrac{ x \cdot\log{74}}{ \log(74)} = \dfrac{ \log37}{ \log(74) }[/tex]

remember that,

[tex] log_b( {a} ) = \frac{log(a)}{log(b)} [/tex]

hence,

[tex]x = \boxed{ \log_{74}(37)} [/tex]

At a dance school, 18 students attend class on Tuesday. Six of those students are boys. What is the ratio of girls
to total students attending class on Tuesday?

Answers

Answer:

= 12 : 18

Step-by-step explanation:

• 18 - 6 = 12

• girls = 12

• total students = 18

• girls to total students

= 12 : 18

Answer:

12:18

Step-by-step explanation:

Origami paper is always in the shape of a square. If you take the top corner of either side of a 9 x 11-inch piece of paper and fold it to the lower opposite side and trim off the excess paper, this creates the square that we need. Then fold the top corner to the opposite corner to create a diagonal, which is a typical first step to most origami designs. What are the dimensions of your square? What is the length of the diagonal? Write your answer in exact and decimal form.

Answers

Answer:

Dimensions are nine by nine, the diagonal is the square root of 162.

Step-by-step explanation:

The resulting square will have the same width as before, with a height to match, (9,9) The diagonal can be found using the pathagyreon theorom.

9^2 + 9^2 = x^2.

The dimensions of the square would be nine by nine, the diagonal is the square root of 162.

The square will have the same width as before, with a height to match, (9,9)

The diagonal can be found using the Pythagorean theory.

9^2 + 9^2 = x^2.

What is the Pythagorean theorem?

This theorem states that the square of the length of the hypotenuse of a right triangle equals the sum of the squares of the lengths of the other two sides.

What is the Pythagorean theorem and what is it used for?

The Pythagorean Theorem is a useful tool that shows how the sum of the areas of three intersecting squares can determine the side lengths of a right triangle.

Learn more about Pythagorean Theorem here:https://brainly.com/question/231802

#SPJ2

What is the equation to this graph using Y=MX+B. Show Work.

Answers

Answer:

y = 2x + 9

Step-by-step explanation:

Y = mx + b indicates slope-intercept equation.

"b" represents y -intercept/beginning.

"mx" represent slope/constant of variation/rate of change

x-intercept represents the end of the graph. (in stories using money its the ending amount).

The y-intercept is always when the x-value is 0. The point of the y-intercept is on the y-axis. The line on the graph starts at the point (0,9). It can be located on the point right above the number labeled under the 9 which is 8. Since the x-value is 0,

The y-intercept is 9.

To find the slope, we have to find two points on the graph to use.

Two points on the graph are:

(1.5, 13) , (2, 14)

Using the slope formula:

y2-y1/x2-x1

Plug in:

14-13/2-1.5

Complete:

1/0.5

divide:

The numbers in 1 divided by 1/2 are labeled below:

1 = whole number

1 = numerator

2 = denominator

To make it a fraction form answer, you multiply the whole number by the denominator and make the result the new numerator. The old numerator becomes the new denominator:

1 x 2/1  = 2/1

Thus, the answer to 1 divided by 1/2 in fraction form is:

2/1

To make the answer to 1 divided by 1/2 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:

2 / 1 = 2

The answer is rounded to the nearest two decimal points if necessary.

2/1 is an improper fraction and should be written as 2.

So now that we have the y-intercept and slope:

Y-intercept: 9

Slope: 2

Equation: y = 2x + 9


Terms: Linear Equations 8th Grade

how is 0.136 written as a fraction in simpilist form. is my answer correct?

Answers

Answer:

Yes you are

Step-by-step explanation:

case as) the repeating decimal is 36

Multiply x by a power of  , one that keeps the decimal part of the number the same:

Subtract  from

The repeating decimals should cancel out

solve for x

Divide by  both sides

Simplify

Divide by  both numerator and denominator

therefore

the answer case a) is

The fraction in easyiest form is

case b) the repeating decimal is 136

Let

Multiply x by a power of, one that keeps the decimal part of the number the same:

Subtract  from

The repeating decimals should cancel out

solve for x

Divide by  both sides

-----> irreducible

therefore

the answer case b) is

The fraction in simplest form is

136/999

How to calculate percentage profit?

Answers

Answer:

Profit/Cost Price*100

Step-by-step explanation

Calculated by working out the difference between the cost price and the selling price, which is then divided by the original price and multiplied by 100, giving you a percentage. Cost price is the original price for good which the retailer has bought for.


One positive integer is 7 less than twice another. The sum of their squares is 433. Find the integers.

Answers

Answer:

This is the correct answer

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

What’s the following sum?

Answers

[tex] \huge{ \orange{ \boxed{ \bold{6 \sqrt{5} }}}}[/tex]

EXPLAINATION :

By following the rule in finding the sum or difference of similar radicals

[tex] \green{a \sqrt{c} \: + \: b \sqrt{c} \: = (a + b) \sqrt{c} }[/tex]

Answer:

3.73

Step-by-step explanation:

If the graph of f '(x) has an X-intercept at x = C, which of the following must be true?

A. The graph off has a relative minimum or relative maximum at x = C.
B. The graph off has an inflection point at x = C.
C. The graph off has an x-intercept at x = C.
D. None of the above is necessarily true.

Answers

None of the above is true

Answer: D

Step-by-step explanation:

f'(C) = 0 ⇒ There is a critical point here

There could be a relative max or min here, but since we do not know if f''(x) is positive or negative, we cannot be sure if the function is truly changing from positive to negative or vice versa. "C" could simply be at a horizontal tangent of a function like x³.

22. The population, P, of the city of Hazelton has grown according to the mathematical model
P = 65,000(1.075)', where t is the number of years since 2005.
a) At what percentage is the population growing? [1 mark]

Answers

Answer:

7.5%

Step-by-step explanation:

The exponent 't' is applied to 1.0751.075 is the rate at which it increasesDecimal → % = x 1001.075 × 100 = 107.5%107.5% - 100% = 7.5%

Which of the following statements is not true?

- the median is not affected by outliers as much as the mean.

- the mode is the most frequently occurring value(s) in a data set.

- the best measure of central tendency depends on the data set.

- the mean is the middle value of a data set.

Answers

Answer:

the mean is the middle value of the data set.

Step-by-step explanation:

the mean is the average of all the data, so i would say the last statement is incorrect.

Answer:

the mean is the middle value of a data set

Target 3: I can create or complete a table using equivalent ratios.
4. A wallpaper pattern has 6 stars for every 4 moons. How many stars would there be if there were 16
moons?
Stars
Moons

Answers

Answer:

24

Step-by-step explanation:

Remark

This can be done with a proportion which consists of 2 equal ratios. That's 4 parts total. If you know 3 of the parts, you can find the 4th.

Givens

Stars1  6

Moon1 4

Starts2 x

Moon2 16

Formula

stars1/moon1 = stars2/moon2

Solution

6/4 = x / 16         Multiply by 16

6 * 16/4 = x

Answer: 96/4 = 24

HELP QUICKLY PLEASE
31. Tony is borrowing $10 from his mom every week for buying more toy cars for his Hot Wheels collection. How much money does he owe at the end of 7 weeks?

33. Linda borrowed $7 a day until she had borrowed a total of $56. For how many days did she borrow money?

34. The temperature increased 2o per hour for six hours. How many degrees did the temperature raise after six hours?

35. Max lost 24 pounds in 8 weeks on his new weight-loss plan. What was his average change in weight per week?

Answers

Answer:

the answer to 33 is 8 7×8=56 or 56÷7

Let's Apply Solve for the surface area of the following figures. ​

Answers

Answer:

1. 864in^2

2. 331.2581cm^2

3. 201.0619m^2

4. 516.548m^2

5. 2827.4334mm^2

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Find the zeros of the function p(x) = -9x^2 + 1 Rob's first four test scores are 80, 85, 100, and 85. What does he have to score on the last test in order to have a test average of 90?options:901001095 People who reach the ________ level of stress feel burned out; they are fatigued, exhausted, and their performance begins to decline. 1.) Which of the following statements about slavery in the American South during the antebellum period is true?a. The majority of Southerners owned slaves.b. The number of slaves in the upper South was comparable to the number of slaves in the deep South. c. Slave labor directly contributed to the largest source of American exports. d. Little unity and cultural ties existed among slaves. e. Armed slave rebellions were frequent and sometimes successful. QUESTION 66 / 8Which is the closest antonym forthe word routine, as it is used in thearticle?A. ancientB. uniqueC. convenientD. normalCUID MIT How did the experience of total war during World War I impact the civilians in the war zones?How did the experience of total war during World War I impact the civilians outside the war zones?How did the experience of total war during World War I impact the soldiers that were drafted into the war?How did the experience of total war during World War I impact the soldiers that volunteered for the war?How did the experience of total war during World War I impact the nations (& their citizens) that won the war?How did the experience of total war during World War I impact the nations (& their citizens) that lost the war?Are there other groups you can think of that were impacted by the experience of total war? If so, how were they impacted? From their location in the diagram, what are two possible values for n and m?A diagram with concentric circles. The outer circle is labeled rational numbers, with an m. The middle circle is labeled integers. The smallest is labeled whole numbers, with an n.m=3.3, n=14m=2, n=62m=6, n=43m=38, n=12 The posts of Novgorod and Kievwere founded in what would laterbecome Russia during the 400's and500's. These became prominentcenters.A. militaryB. travelC. trading How is the poster effective in achieving its purpose? it inspires pride in the navy by emphasizing a large soldier. it uses an image to show that there is a type of job for everyone. it uses a white font to stress the importance of englands expectations. A(n) pronoun points out an object. 23 = y* 5 -2 what is y? help fast!! (no links please.) a. yes, reflection across y=xb. noc. yes, rotation 180d. yes, translation up 3 units investigate what the concept responsible citizenship means and state two factors that may contribute to the youth being hesitant to conduct themselves as responsible citizens WILL GIVE BRAINLIESTRewrite (see picture) in standard form. Find the center and radius of the circle. Show all of your work for full credit. The line plot shows the heights of the players on a basketball team, in inches.Part Bhe next year, a player who is 71 inches tall is replaced by a player who is 73 inches tall. Otherwise the team remains the same. Is 74 an outlier the next year? Explain. (9) Which is true from the following ?(A) Size of A1+ < Size of Al (B) Size of A1+ > Size of Al(C) Size of F < Size of F (D) Size of Nat = Size of Na(10) For which element the highest shielding effect for outermost electron is observed ?(A) Element of group 13 and period 2 (B) Element of group 13 and period 3(C) Element of group 13 and period 4 (D) Element of group 13 and period 5(11) Which one is the descending order of atomic radius of elements of third period.Na(Z = 11), Mg (Z = 12), Al (Z = 13) and Si(Z = 14) ?(A) Si > Al > Mg > Na (B) Na > Mg > Al > Si(C) Na < Mg < Al < Si (D) Na > Al > Mg >Si(12) Which order is true with reference to size of species ?(A) Pb < Pb2+ < Pb++(B) Pb4! > Pb2+ > Pb(C) Pb > Pb2+ > Pb4+(D) Pb2+ < Pb < Pb4+ Ms.Mendoza's monthly income was increased by 15%. If her salary last month was 10,000,how much is her salary now Ok take two tell me if u can see it or not it's #9 If f(x) = 8 10x and g(x) = 5x 4, what is the value of (fg)(2)? 196 168 22 78