In what ratio is the line joining the points.

(-1,8) and (5,2) divided by the point (3,4)​

Answers

Answer 1

Answer:

2:1

Step-by-step explanation:

use k:1 as ratio, and then apply the section formula.

let's use the x co-ordinate pf the point in between the other two which is=(3)

section formula says,

x=mx2 + nx1/(m+n)

m=k , n=1

substitute all the values,

3=5k+(-1)/(k+1)

take k+1 to left side,

3(k+1)=5k-1

3k+3=5k-1

5k-3k=3+1

2k=4

(÷2)

k=2

hence, the ratio = 2:1


Related Questions

Norton started driving at 9 am by noon he had traveled 162 mi what was his average speed?

Answers

Answer:

54mph (or 54 mi/h)

Step-by-step explanation:

9 am to the noon is 3 hours.

S=d/t   where S=average speed, d=distance, and t=time

S=162/3=54

Hope that helps!!!

Answer:

54 mph

Step-by-step explanation:

Noon is at 12:00 so if he started at 9:00 he would have droven 3 hours and 162 divided by 3 = 54. This is correct

How many solutions does this system have?
X + 2y = 0
10y = -5x
Choose the correct answer below.
No solution
O Exactly one solution
O Infinitely many solutions
Click to select your answer.

Answers

Infinitely many solutions

Answer:

Infinitely many solutions

Step-by-step explanation:

Given the system:

[tex]\left \{ {{x+2y=0} \atop {10y=-5x}} \right.[/tex]

One way to do it is to use substitution. That means we want to isolate one of the variables in one equation so we can plug it into the other equation. We can isolate [tex]x[/tex] in the first equation by subtracting [tex]2y[/tex] from both sides.

[tex]\left \{ {{x=-2y} \atop {10y=-5x}} \right.[/tex]

Now we know what [tex]x[/tex] is, so we can plug it into the bottom equation.

[tex]10y=-5(-2y)[/tex]

Then we simplify the right side:

[tex]10y=10y[/tex]

Then we divide both sides by 10:

[tex]y=y[/tex]

Since [tex]y[/tex] will ALWAYS be equivalent to itself, no matter what, we know that there are infinitely many solutions.

Please help. I will give Brainly it really would help

Answers

12075 is the answer for this problem because if you use a calculator, it gives you the answer..

Answer: The following image lays out everything you for you. Glad I could help!

(b) A restaurant bill that comes to €200 is
to be divided equally among a group of
people. However, three people leave before
the bill is settled and the remainder of the
group have to pay an extra €15 each.
How many people were originally in the
group?

Answers

Answer:

it might be 13/3 or just 13

Step-by-step explanation:

try doing 200 divided by 15

the running back for the bulldogs football team carried the ball 5 times for the total of losses of 11 1/4 yards. find the avrege change in field positionon each run. enter the evrege change as a simplified mixed number

Answers

Answer:

-2 1/4

The average change in the field position run was -2 1/4 yards

1. After quarantine is over, you and your family are planning to rent a van for a 1-day trip to Knott’s Berry Farm in Buena Park, CA. For the type of van, your family would like to rent, you can choose from the following options:

• Enterprise Rent-A-Car: $50 per day and $0.25 a mile

• Alamo Car Rental: $45 per day and $0.35 a mile

• Budget Car Rental: $40 per day and $0.30 a mile

• Hertz Car Rental: $30 per day and $0.45 a mile

• Thrifty Car Rental: $35 per day and $0.50 a mile


(a) Choose two of the car rental companies above that you would like to compare prices for and write a mathematical model to represent the cost of renting a van from the two companies.


Rental Company Choice Mathematical Model

A.

B.



(b) Graph these mathematical models in each blank graph provided on the next page. Make sure your model A matches graph A and your model B matches graph B. Please label the graph axes appropriately.

Answers

9514 1404 393

Answer:

  A) Enterprise: E(x) = 50 +0.25x; Hertz: H(x) = 30 +0.45x

  B) see attached graph

Step-by-step explanation:

A) We choose to compare Hertz (lowest daily charge) and Enterprise (lowest mileage charge). In each case, the total charge will be the sum of the daily charge and the product of the mileage charge and number of miles (x).

  Enterprise: E(x) = 50 +0.25x

  Hertz: H(x) = 30 +0.45x

A dart player made 59 bulls eyes out of 100 attempted throws. What percent of the throws were pills eyes please helppppp

Answers

Answer:

59 percent

Step-by-step explanation:

59 divided by 100 is 0.59, which means 59 percent.

Also, when the total is 100, then the amount out of 100 is the percent ( 59 out of 100 is 59 percent, because it is out of 100).

You are choosing between two different cheese wedges at the grocery store. Assume both wedges are triangular prisms with bases that are isosceles triangles. The first wedge has a base that is 2.5 in. wide and a height of 4.5 in., with the entire wedge being 3 inthick. The second wedge has a base that is 3 in. wide and a height of 4 in., with the entire wedge being 3.5 in. thick. Which wedge has a greater volume of cheese, and by how much?

Answers

The second wedge has a greater volume and it is greater by 4.125 in³.

Volume of each wedge

Since the each cheese wedge has a triangular base, its volume V = 1/2bhw where

b = length of base of triangle, h = height of triangle and w = thickness of wedge

Volume of first wedge

Given that for the first wedge, b = 2.5 in, h = 4.5 in and w = 3 in, its volume V' = 1/2bhw

= 1/2 × 2.5 in × 4.5 in × 3 in

= 33.75 in³/2

= 16.875 in³

Volume of second wedge

Given that for the second wedge, b = 3 in, h = 4 in and w = 3.5 in, its volume V" = 1/2bhw

= 1/2 × 3 in × 4 in × 3.5 in

= 42 in³/2

= 21 in³

Since V" = 21 in³ > V' = 16.875 in³, the second wedge has a greater volume.

Amount it is greater by

The amount its is greater than the first volume is the difference in their volumes. V" - V' = 21 in³ - 16.875 in³

= 4.125 in³

The second wedge has a greater volume and it is greater by 4.125 in³.

Learn more about volume of wedge here:

https://brainly.com/question/15901155

- 9x = 81 plsssss help me will cash app put it below the answer !

Answers

Divide both sides of the equation by the same factor. -9/-9 = 81/-9. simplify x= -9 and the answer is x= -9

Which model represents the equation below? Negative 4 x + (negative 2) = 3 x + (negative 5) 3 x tiles, 1 negative x tile, and 2 negative 1 tiles = 3 x tiles, 3 positive 1 tiles, and 2 negative 1 tiles 4 x tiles and 2 negative 1 tiles = 3 x tiles and 5 negative 1 tiles 4 negative x tiles and 2 negative 1 tiles = 3 x tiles and 5 negative 1 tiles 4 negative x tiles and 2 negative 1 tiles = 3 x tiles and 5 positive 1 tiles

Answers

Answer:

4 negative x tiles and 2 negative 1 tiles = 3 x tiles and 5 negative 1 tiles

Step-by-step explanation:

Given the equation [tex]-4x + (-2) = 3x+(-5)[/tex], we are to evaluate by finding x

open the parenthesis

[tex]-4x -2 = 3x-5[/tex]

collect like terms

[tex]-4x-3x = -5+2\\-7x = -3[/tex]

Find the value of x

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

Expressing the function in terms of tiles will give 4 negative x tiles and 2 negative 1 tiles = 3 x tiles and 5 negative 1 tiles

Note that each terms of the expression were written in tems of tiles. The value with no variables (the constants) are all multiplied with 1 tiles each while those with x variables are multiplied by x tiles based on the sign (whether positive or negative)

Answer:

C

Step-by-step explanation:

During each week of piano lessons, Elijah learns to play 2 new pieces. In all, how many weeks of piano lessons will Elijah need before he will be able to play a total of 8 pieces?​

Answers

Answer:

4 weeks

Step-by-step explanation:

you just take 8/2 and you get 4

Answer:

4 weeks

Step-by-step explanation:

PLEASE HELP ME!!!!!!!!!!!!!!!

Answers

Answer:2/5

Step-by-step explanation:

Answer: The answer would be D

Step-by-step explanation: To solve this problem you first need to add up all the total number of bills, which is 20. Then you want to format it 8/20 because there are 8 twenty dollar bills which means there is an 8/20 chance for you to get a twenty. Then simplify it if you can.

area of a trapezoid TRAP show work

Answers

Answer:

1020 cm²

Step-by-step explanation:

I assume that the parallel sides are TR and PA. Those are the bases.

A = (base1 + base2)h/2

A = (54 cm + 31 cm)(24 cm)/2

A = 1020 cm²

your aunt gave you 20 pieces of candy and you ate 2 pierced each day after a certain number of days there are 8 pieces how many days before there were only 8 pieces left?

Answers

Answer:

I believe 11 days.

Step-by-step explanation:

If you're looking for how many days until you had 8 including that day then it would be 11. But if you're just looking for days before, not including the day you got 8, your answer would be 10. Sorry if this doesn't help. Hope you have a good day/night!

Answer:

Step-by-step explanation:


set it up as an algebra equation- 20 = 2x - 8. You subtract 8 from the 20 original candy, since that’s what you have left. You end up with 16 candy.


divide by 2, for 2 candies a day, and you end up with 6.


You eat that much candy in 6 days

Can someone please help?

Answers

Answer:

k=−(x−h) 2+r 2 +y

Step-by-step explanation:

Subtract (x−h)   from both sides of the equation.

Subtracting (x−h) from itself leaves 0.

Subtract (x−h)from r

Take the square root of both sides of the equation.

Subtract y from both sides of the equation.

subtracting y from itself leaves 0.

Dividing by −1 undoes the multiplication by −1.

Please help ive asked this so many times.

Find the area of each shape. Use 3.14 for π

Answers

Answer:

Okay, so the area of sqaure is 48 ft, the triangle is 8 ft, and the half circle is 12.57 feet.

Answer:

Your answers:

Semi-circle is 6.28

Triangle is 8

Rectangle is 48

Step-by-step explanation:

This stuff is so confusing can anyone help

Answers

Answer:

question 10: 66

Step-by-step explanation:

[tex] \frac{6 \times 121}{11} = 66[/tex]

A family of 2 children and 1 adult visited an amusement park and paid an entry fee of $90. Another family of 3 children and 2 adults visited the same amusement park and paid an entry fee of $155. What is the entry fee for a child at the amusement park?

Answers

[tex]\underline{\underline{\large\bf{Solution:-}}}\\[/tex]

[tex]\leadsto[/tex]Let us assume entry fee for child be x

[tex]\leadsto[/tex]Let us assume entry fee for adult be y

[tex]\\[/tex]

[tex]\longrightarrow[/tex]Since Entry fees for 2 children and 1 adult is $90 an equation for entry fees will be formed as -

[tex]\begin{gathered}\\\implies\quad \sf 2\times x + 1 \times y = 90 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf 2 x + y = 90 \\\end{gathered} \_\_\_\_\_(1) [/tex]

[tex]\longrightarrow[/tex]Similarly, Entry fees for 3 children and 2 adult is $155 , so an equation for entry fees will be formed as -

[tex]\begin{gathered}\\\implies\quad \sf 3\times x + 2\times y = 155 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf 3x + 2y = 155 \\\end{gathered} \_\_\_\_\_(2) [/tex]

Multiplying eq (1) by 2 it will be -

[tex]\begin{gathered}\\\implies\quad \sf 4x + 2y = 180\\\end{gathered}\_\_\_\_\_(3) [/tex]

Subtracting eq(2) from eq(3) -

[tex]\begin{gathered}\\\implies\quad \sf 4x+2y - (3x+2y) = 180-155\\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf 4x + 2y - 3x - 2y = 35\\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf 4x - 3x +2y- 2y = 35\\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \bf x = 35\\\end{gathered} [/tex]

Thus , entry fee for a child at the amusement park = $ 35

A garden shop manager tracks the inventory of seed packets in the store for a month based on
the initial amount in the store and the number of purchases per week. The function
P(t) = -34t + 200 represents the number of seed packets remaining after t weeks.
What does 200 represent in the function P(t)?
O the y-intercept of the function and the number of seed packets purchased each week
the y-intercept of the function and the initial number of seed packets at the beginning of the
month
O the slope of the function and the number of seed packets purchased each week
O the slope of the function and the initial number of seed packets at the beginning of the month

Answers

Using linear function concepts, it is found that the meaning of 200 in the function P(t) is given by:

the y-intercept of the function and the initial number of seed packets at the beginning of the month.

What is a linear function?

A linear function is modeled by:

[tex]y = mx + b[/tex]

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value.

In this problem, the function is:

[tex]P(t) = -34t + 200[/tex].

The slope is of m = -34 and the y-intercept is of b = 200, hence the correct option is:

the y-intercept of the function and the initial number of seed packets at the beginning of the month.

More can be learned about linear function concepts at https://brainly.com/question/24808124

Find the slope between the points (-6, 1) and (7,5).

Answers

Answer:

4/13

Step-by-step explanation:

Three vertices of a parallelogram are shown in the figure below.
Give the coordinates of the fourth vertex.

Answers

Check the picture below.

How do I simply the following equation?

(c^2/b + cb) /a

Please give an in-depth explanation, I didn’t understand the explanation my teacher gave me. Thank you!!

Answers

Answer: search up Expand and simplify trinomial square (a + b + c)^2 = a^2+b^2+c^2+2ab+2ac+2bc  on yutube and a video named that should show up

Step-by-step explanation:

this video helped me hope it could help you as well!

Help me with my math 8th grade​

Answers

3c means = 3 x c

2c means = 2 x c

and so on

so  if c = - 3

3 x (-3) x (2 x (-3) - 1) - 5 x (3 x (-3)² + (-3))

= -9 x (-6 - 1) - 5 x (3 x 9 - 3)

= - 9 x (-7) - 5 x (27 - 3)

= 63 - 5 x 24

= 63 - 120

= - 57

Answer :

- 57

Given expression :

[tex]{ \longrightarrow\qquad \sf 3c(2c-1)-5(3c {}^{2} +c)}[/tex]

When c = (-3) ,

[tex]{ \longrightarrow\qquad \sf 3( - 3) \bigg[2( - 3)-1 \bigg]-5 \bigg[3( - 3){}^{2} +( - 3) \bigg]}[/tex]

[tex]{ \longrightarrow\qquad \sf - 9 \bigg[ - 6-1 \bigg]-5 \bigg[3( 9)+( - 3) \bigg]}[/tex]

[tex]{ \longrightarrow\qquad \sf - 9 \bigg[ - 7 \bigg]-5 \bigg[27 - 3 \bigg]}[/tex]

[tex]{ \longrightarrow\qquad \sf 63-5 \bigg(24 \bigg)}[/tex]

[tex]{ \longrightarrow\qquad \sf 63-120}[/tex]

[tex]{ \longrightarrow\qquad \bf - 57}[/tex]

Therefore,

The value of the expression when c = (-3) is -57

A tank starts out with 860 gallons of liquid. A pump adds liquid to the tank at a constant rate. After 8 hours, the tank contains 1,036 gallons. How many gallons of liquid were pumped per hour?

Answers

Answer:

The answer is 22.

Step-by-step explanation:

if it started with 860 and in 8 hours it has 1036 then you would subtract 1036 - 860 which is 176 and that divided by 8 is 22. hope that helps. :)  

Answer:

22 gallons per hour

Step-by-step explanation:

1036-860=176

176/8=22

22 gallons per hour is your answer

IR
Which rule describes a composition of transformations
that maps pre-image PQRS to image P"Q"R"S"?
09
A.)Ro, 27040 T-2, o(x,y)
B.)T-2,0° Ro, 2700(x, y)
C.)Ro, 270w Ory-|(x, y)
D.) ry-axisº Ro, 270w(x, y)

Answers

I’m pretty sure it’s B hope this helps

A notation that correctly describes the given transformation is:

[tex]R_{O, 90\°}, r_{x-axis}[/tex]

A rotation of 90° around the origin, followed by a reflection over the x-axis.

How to describe the transformation?

Here you can see that we have a rectangle in the first quadrant, and then it is moved to the third quadrant.

In the image, you can also see that the orientation of the rectangle changes, thus, we have a type of rotation.

A rotation from the first quadrant to the second quadrant would give use the desired orientation of the rectangle, and then we could reflect it over the x-axis to reach the third quadrant, so we can write the transformation as a rotation over the origin of 90° followed by a reflection over the x-axis.

I'm not sure of the notation you use in the options, but this would be written as:

[tex]R_{O, 90\°}, r_{x-axis}[/tex]

That is a rotation of 90° around the origin followed by a reflection over the x-axis.

If you want to learn more about transformations, you can read:

https://brainly.com/question/4289712

Two crocodiles together can finish their snacks in 40 seconds

Answers

Answer:

That is an interesting fact! Thank you. If you need help, let me know and I may be able to help.

[tex]:)[/tex]

The time it will take the second crocodile to finish its snack is 120 seconds

Ratio and proportions

Let x represent the rate of the first crocodile and let y represent the rate of the second crocodile.

The two crocodiles working together can finish a snack in 40 seconds. Thus;

(1/x + 1/y)40 = 1

It takes one of the crocodiles 60 seconds to finish its snack. Thus;

(1/x + 1/60)40 = 1

40/x + 2/3 = 1

x = 120 seconds

Read more about ratios and proportions here at; brainly.com/question/12442233

Complete question:

Two crocodiles together can finish their snack in 40 seconds. one of the crocodiles can finish the snack in 60 seconds. how long will it take the second crocodile to finish the same snack?

To find the answer to the problem, solve the
system of equations for x.
y = 200 + 10x
y = 50x

Answers

Answer:

the first one --->  x=[tex]\frac{y-200}{10}[/tex]

second one ----> x=[tex]\frac{y}{50}[/tex]

Step-by-step explanation:

X= 5
Y=250
(5,250)
You get this answer by substituting the y in the first equation with the 50x because they are the same thing. Then you solve for x and get x equal 5. Then you substitute 5 into the second equation and get 250

Find two consecutive whole numbers that [\sqrt;[63]] lies between

Answers

Answer:

between 7 and 8

Step-by-step explanation:

Consider perfect squares either side of 63 , that is

49 < 63 < 64 , then

[tex]\sqrt{49}[/tex] < [tex]\sqrt{63}[/tex] < [tex]\sqrt{64}[/tex]  , that is

7 < [tex]\sqrt{63}[/tex] < 8

There are 32 students in a class. Nine of those students are girls. What percent are boys? (Round your answer to the nearest WHOLE person.)

Answers

The answers 23...subtract 32-9
32 - 9 = 23

23/32 = 0.718

0.718 x 100 = ~72%

Solve x÷2<4. Graph the solution.

Answers

Answer:

The solutions are (-2, 0) and (1, 3).

Step-by-step explanation:

Edginuity Sample response: The graph consists of a parabola and a line. The parabola opens down and has a vertex of (0, 4). The line has a slope of 1 and a y-intercept of 2. We want to solve

-x² + 4 = x + 2

Create two curves as follows:

y = -x² +4

and

y = x + 2

By graphing the two curves together, their points of intersection are the solutions.

y = -x² + 4 is a parabola with vertex at (0, 4), and it opens downward.

y = x + 2  is a straight line with slope - 1 and with y-intercept = 2

The points of intersection are (-2, 0) and (1, 3).

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