Artur, Olga i Wiktor uczestniczyli w wyścigu. Wystartowali z tego samego miejsca, w tym samym momencie i biegną ze stałymi prędkościami. Gdy Artur ukończył bieg, Olga miała 15 m do mety,
a Wiktor miał 35 m. Gdy Olga ukończyła bieg, Wiktorowi pozostały 22 m do mety. Na jakim dystansie został rozegrany wyścig?

Artur, Olga I Wiktor Uczestniczyli W Wycigu. Wystartowali Z Tego Samego Miejsca, W Tym Samym Momencie

Answers

Answer 1

Answer:

165m

Question:

Artur, Olga and Wiktor participated in the race. They started from the same place at the same time and run at constant speeds. When Artur finished the race, Olga was 15 m to the finish,

and Wiktor was 35 m. When Olga finished the race, Wiktor remained 22 m to the finish. At what distance was the race held?

Step-by-step explanation:

Let Artur distance covered be =>x

When Artur covered distance x:

Olga was 15m from x

Olga = x - 15

Wiktor was 35m from x

Wiktor = x - 35

When Olga covered distance x:

Wiktor was 22m from x

The ratio of Olga to Wiktor:

(x-15)/(x-35) = x/(x-22)

Cross multiply

(x-15)(x-22) = x(x-35)

x² - 15x - 22x + 330 = x² - 35x

x² -37x +330 - x² + 35x = 0

-2x = -330

x = (-330)/(-2)

x = 165m

The race held at 165m distance


Related Questions

Find the area of the rhombus. Each indicated distance is half the length of its respective diagonal.

Answers

Answer:

24 square feet

Step-by-step explanation: There are four "triangles" of the rhombus. If you find the area of each triangle by multiplying the height by the width and divide by two, you get 6. You then multiply that by 4 to get 24.

PLS HELP What is the cos and sin for angle of rotation 30 degrees?

Answers

Answer:

cos 30=0.860254038

sin 30=0.5

Step-by-step explanation:

use a calculator

Find the area of the figure.


A triangle with base 8.2 cm and height 5.9 cm



The area equals ____ cm2.

Answers

So the right answer is 24.19 cm^2

Look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

[tex] = 24.19 {cm}^{2} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

A.) $405.00
B.) $472.00
C.) $450.00
D.) $495.00

A satellite TV company is running a promotion to attract new customers. The first full month is free, and each additional month is $45. Any partial month is ignored. If a family purchased satellite TV service November 1st of one year and continued it through September 15th of the next year, what did the family pay?

Answers

$450 since first month was free if it wasn’t free it would’ve been $495

which is the following is the correct expansion for (3x-y^2)^4

Answers

Answer:

81x4^ + 108x^3y^2 + 54x^2y^4 +12xy^6 +y^8

Step-by-step explanation:

Select the quadrant or axis where each ordered pair is located on a coordinate plane.

Answers

the first quadrant is the upper right hand corner of the graph where both y and y are positive

the second quadrant in the upper left hand corner includes negative values of x and positive values of y

the third quadrant the lower he as corner includes negative values of both x and y

the fourth quadrant the lower right handed corner the x is positive and the y is negative

hope this helps, can i have brainliest please

20 points . Find the geometric mean of 5/4 and 80

Answers

Answer:

3.636478334

Step-by-step explanation:

Vocabulary Review List the five inequality symbols. Help me please

Answers

Answer:

Greater than, less, than, equal to, greater or equal to, less than or equal to

Step-by-step explanation:

will mark bianleast 10 pontis
Which equation could be used to find the perimeter of a rectangle that has a width of 10 inches and a length of 20 inches?

P = 2·10 + 2·10

P = 20·10

P = 2·20 + 2·10

P = 10 + 20

Answers

Answer:

P = 2·20 + 2·10

Step-by-step explanation:

there are 2 sides for width, and 2 sides for length, as easy as

which expressions are equal to 10^5? select all answers

Answers

Answer: 10*10*10*10*10

Step-by-step explanation:

Your dad is designing a new garden for your backyard. He has 26 feet of fencing to go around the garden. He wants the length of the garden to be 3 1/2 feet longer than the width. How wide should he make the garden?

Answers

Answer:

4.75 feet

Step-by-step explanation:

Perimeter for any rectangular shape is given by 2(length + width).

Fencing the garden means one wiring the garden along  the perimeter.

Thus, it can be concluded that garden has perimeter of 26 feet as given in question.

__________________________________________

Let the width be x feet

given that,  He wants the length of the garden to be 3 1/2 feet longer than the width

thus, length of garden = x + 3 1/2 feet = x + 3.5 feet

if length is x+3.5 feet and width is x feet.

Then perimeter = 2( x+3.5 + x) = 2(2x+3.5) = (4x + 7) feet.

This perimeter will be equal to 26 feet fence

thus,

(4x + 7)  = 26

=> 4x = 26 - 7 = 19

=> x = 19/4 = 4.75 feet

x is width of garden.

Thus, he should make the garden 4.75 feet wide.

Answer:

4.75

Step-by-step explanation:

welp!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

~47%

Step-by-step explanation:

18 / 38 = 0.47368421053 = ~0.47 = 47%

It’s 47% I just did it myself like 20 minutes ago

If a dress costs $27.00 when it is on sale for 10% off, what is its original cost?

PLZ HELP IN A HUGE RUSH PLZ PLZ PLZ

Answers

Answer: 30

Step-by-step explanation:

simple

Help please !!!! I need this I don’t need a detailed explanation

Answers

Answer:


The answer is C, -6/5

Answer:

-6/5   (This is Answer c)

Step-by-step explanation:

Re-writing this equation in standard form, we get:

25x^2 + 60x + 36 = 0.  The coefficients are a = 25, b = 60 and c = 36.

The discriminant, b^2 - 4ac, is 60^2 - 4(25)(36), or 3600 - 3600, or 0.

Because the discriminant is 0, we have two real, equal roots, corresponding to

       -b        -60

x  = ------ = ----------  = -6/5   (This is Answer c)

        2a       2(25)

Plz lzplz plz plz plz help me plz ASAP

Answers

i think it is 4

hope this helps

Which expression can be used to find 17% of 58?
A. 58 = 0.17 B. 58 = 17
C. 58 x 0.17
D. 58 x 17

Answers

Answer:

58 times 0.17 which agrees with answer C in the given list of possible answers.

Step-by-step explanation:

Notice that 17% in math terms is 17/100 = 0.17

Now to find the 17% of the number 58, we need to multiply 58 by 17/100, which gives:

58 times 0.17

can someone show how to do this please

Answers

Answer:

77 units^2

Step-by-step explanation:

I'm going to call the red square A, green square B, blue square C.

A side of a square is the square root of the area.

The Pythagorean Theorem is A^2 + B^2 =C^2.

So in other words,  

33 + 44 = the side of square C^2.

33+44=77

One side of square C is √77.

Square this to get the area.

Square C's area is 77 units^2.

plz help will give brainliest, thanks, and lots of points

Answers

Answer:

V = 687.28 cm ^3

Step by step explanation:

687.28 m ^3 is found in 3 steps.

Volume of a sphere = V=4/3πr3 = 268.8 m^3

Volume of a semi sphere = V  = (2/3)πr.  but i divide the top one by 2

= 268.8/2 = 134.4 m^3

Volume of a Cylinder prism = V=πr2h = 502.61 m^3

Volume of a cone V=(πr2 )h/3 = 50.27

We add 134.4 + 502.61 +50.27 = 687.28 m ^3

How to find Area;

We remember and compare to Area and other areas the values.

Area = 415m^2

circle is semi sphere A = π r2 h= 200.1 = /2 or *0.5 A=100.53 m^2

cylinder lateral A = 2πrh  L = 251.327412 m^2 = 251 m^2

Cone lateral A=πrh2+r2 = 62.83 = 63 m^2

= 100.53 + 251.327412 + 62.83 =414.687412

or 101+251+63 = 415 m^2

Notes;

The best way is to find someway of not overwhelming yourself with the combined volume question and know what actually makes a cylinder being the central prism.

So write down all these values below onto a flashcard and title it Area of a composite Semi-sphere/cylinder/cone r = 4 / h= 10 r =4  / r= 4 h=3

and write these down.

Cylinder

lateral surface area L = 80 π m2

top surface area T = 16 π m2

base surface area B = 16 π m2

total surface area A = 112 π m2

Cone = 62.83

Semi sphere = 100.53

Area = 415 m2

Write 0.728 as a percent and as a simplified fraction.

Answers

Answer:

91 /125

Step-by-step explanation:

DUE NOW
The two-way table shows the number of students that do or do not do chores at home and whether they receive an allowance or not. Find the relative frequencies of students in the survey by rows. Round to the nearest hundredth.

Answers

Answer:

Relative frequencies

First row

0.8125 ,0.1875 ,16

Second row

0.555 ,0.444 ,9

third row

18 , 7 ,  25

Step-by-step explanation:

Given data

               allowance        No allowance          total

Chores         13                   3                          16

No chores      5                   4                           9

Total              18                   7                            25

Relative frequencies

               allowance          No allowance                  total

Chores         [tex]\frac{13}{16} = 0.8125[/tex]     [tex]\frac{3}{16} = 0.1875[/tex]                       16

No chores      [tex]\frac{5}{9} = 0.555[/tex]      [tex]\frac{4}{9} = 0.444[/tex]                            9

Total              18                   7                                   25

Which expression is equivalent to (5 Superscript negative 2 Baseline) (5 Superscript negative 1 Baseline)? { answer is C }

Answers

Answer:

[tex]\frac{1}{125}[/tex]

Step-by-step explanation:

The given expression is

[tex](5^{-2}) (5^{-1})[/tex]

The expression is about two powers with the same base, so we can use the power property of multiplication, which states that we must proceed we writing only one base and sum exponents

[tex](5^{-2}) (5^{-1})=5^{-2-1}=5^{-3}[/tex]

Then, we use the negative exponent property

[tex]5^{-3}=\frac{1}{5^{3} }[/tex]

Finally, we solve the power

[tex]\frac{1}{5^{3} }=\frac{1}{125}[/tex]

Therefore, the given expression is equivalen to [tex]\frac{1}{125}[/tex].

Answer:

the answer is C

Step-by-step explanation:

find the volume of this composite space figure express your answers in terms of pi
edit: its (2880 + 180pi) in^3 for anyone who has the same question!!

Answers

Answer:

The Answer is (2880+180π) in. cubed

Step-by-step explanation:

I got it right in Gradpoint

A school ordered 32 orange shirts, 29 blue shirts, and 34 green shirts. The shirts are being divided equally among 6
classrooms. If each classroom gets the same number of shirts, how many shirts will be left over?
A. 5
B. 3
C. 4
D. 2

Answers

Answer:

5

Step-by-step explanation:

32+29+34= 95 total shirts

95/6=15.8333 round down

If each group get 15 shirts you need 90 shirts (15*6=90)

and so you will have 5 left over (95-90=5)

Answer:

There will be 5 shirts that were left over

Help asap . thank youu

Answers

Answer:

It is not a linear function

Step-by-step explanation:

There is a one to one correspondence and this would pass the vertical line test

This is a function

However, the questions asks if it is a linear function, which would mean is it a straight line.

This curves, so it is not a linear function

solve for x and y...............​

Answers

Answer:

9. [tex]x=30, y=10\sqrt{3}[/tex]

11. [tex]x=5\sqrt{3}, y=10\sqrt{3}[/tex]

Step-by-step explanation:

9)

[tex]\sin x=\dfrac{10}{20}\\x=\sin^{-1}\left( \dfrac{1}{2} \right)=30^{\circ}\\y=\sqrt{20^2-10^2}=\sqrt{400-100}=\sqrt{300}=10\sqrt{3}[/tex]

11)

[tex]\tan 60= \dfrac{15}{x}\\x=\dfrac{15}{\tan 60}=5\sqrt{3}\\y=\sqrt{(5\sqrt{3})^2+15^2}=\sqrt{75+225}=\sqrt{300}=10\sqrt{3}[/tex]

Hope this helps!

Answer:

9 for x..................

There are 57 ounces of cereal in 5 boxes. At this rate, how many ounces of cereal are in 8 boxes?

Answers

Answer:

91.2

Step-by-step explanation:

If there is 57 ounces in 5 boxes and you divide 57 by 5 you'll get 11.4. After that you should times 11.4 by 8 to get 91.2 ounces

Answer:

91.2 ounces

Step-by-step explanation:

Let's make a proportion using this setup:

ounces/boxes=ounces/boxes

There are 57 ounces in 5 boxes, and x ounces in 8 boxes.

57 ounces/5 boxes= x ounces/8 boxes

57/5=x/8

Now we have to solve for x. x and 8 are being divided. To undo this, multiply both sides by 8, because multiplication is the opposite of division.

8*57/5=x/8*8

The 8s on the right will cancel, so we are left with:

8*57/5=x

8*11.4=x

91.2=x

There are 91.2 ounces in 8 boxes

Please help multiple-choice image below with question!

Answers

Answer:

No

Step-by-step explanation:Figure B Is not a scale copy of Figure A because the line on the right for figure A  has only 5 squares And Square B has 10 Squares

:))

Answer:

no

Step-by-step explanation:

To be a scale copy the image has to be scale by the same amount in the x direction and the y direction

The size in the x direction did not change but the y direction did change so

Which of the following relations are NOT functions? Select all that apply.*
(1,3), (3,7), (5,11), (7,15), (9,19)
(1,3), (1,7), (5,11), (5,15), (9,19)
(-2,4), (-1,1),(0,0), (1,1), (2,4)
(2,4), (1,1),(0,0), (1,-1), (2,-4)
(6,3), (4,1), (2,1),(0,-1), (-2,-3)
(1,3), (3,11), (3,7), (7,15), (9,19)
O (1,3), (3,7), (5,11), (9,15), (9,19)

Answers

Answer:

Going from 1 to 7. The not functions are 2,4,6, and 7

Step-by-step explanation:

How you can determine if its a function is if all x values are different. Vertical line test.

Using the function concept, it is found that these following relations are not functions:

(1,3), (1,7), (5,11), (5,15), (9,19)

(2,4), (1,1),(0,0), (1,-1), (2,-4)

(1,3), (3,11), (3,7), (7,15), (9,19)

(1,3), (3,7), (5,11), (9,15), (9,19)

A relation is a function if one input is mapped to only one output.

In the relation (1,3), (1,7), (5,11), (5,15), (9,19), the input 1 is mapped to the output 3 and to the output 7, so it is not a function.In the relation (2,4), (1,1),(0,0), (1,-1), (2,-4), the inputs 2 and 1 are mapped to multiple outputs, so it is not a function.In the relation (1,3), (3,11), (3,7), (7,15), (9,19), the input 3 is mapped to the outputs 11 and 7, so it is not a function.In the relation (1,3), (3,7), (5,11), (9,15), (9,19), the input 9 is mapped to the outputs 15 and 19, so it is not a function.

A similar problem is given at https://brainly.com/question/12463448

Can anyone help me out

Answers

Answer:

jamilla is not correct because she messed up. She is WRONG. and the reason is because she didnt add and divide properlly

Step-by-step explanation:

A salesman made a trip of 420 miles by bus and train. He traveled 3 hours by bus and 5 hours by train. If the train averaged 12 mph more than the bus, find the rate of each.

Answers

Answer:

The speed at which the buss made the trip was 45 mph and the train was 57 mph.

Step-by-step explanation:

The average speed is given by:

speed = distance / time

Therefore we can manipulate it to give us the distance:

distance = speed*time

The time distance of each stage of his trip summed must be equal to the total distance of the trip. Since he made a trip in two legs, one by bus that lasted 3 h at a speed of "x" and one that lasted 5 hours at a speed of "x + 12". We have:

420 = 3*x + 5*(x + 12)

3*x + 5*(x + 12) = 420

3*x + 5*x + 60 = 420

8*x = 420 - 60

8*x = 360

x = 45 mph

The speed at which the buss made the trip was 45 mph and the train was 57 mph.

Answer:

45 mph

Step-by-step explanation:

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