(b) The train is 61 cm long and travels at a speed of 18 cm/s.
It takes 4 seconds for the whole of the train to cross a bridge.
Calculate the length of the bridge.​

Answers

Answer 1

Answer:

The length of the bridge is 72 cm

Step-by-step explanation:

In order to find the length of bridge, we have to apply distance formula which is D = S × T where S represents speed and T is time :

[tex]d = s \times t[/tex]

[tex]let \: s = 18,t = 4[/tex]

[tex]d = 18 \times 4[/tex]

[tex]d = 72 \: cm[/tex]

Answer 2

The length of the bridge is 11 cm .

What is relationship between distance time and speed ?

When an object moves in a straight line at a steady speed, we can calculate its speed if we know how far it travels and how long it takes. This equation shows the relationship between speed, distance traveled and time taken:

Speed is distance divided by the time taken.

For example, a car travels 30 kilometers in 2 hours.

Its speed is 30 ÷ 2 = 15km/hr.

Formula used :

Distance  = Speed * Time

Time = Distance / Speed

Speed = Distance / Time

According to the question

Length of train = 61 cm

Speed of train = 18 cm/s

Time taken to cross the bridge = 4 seconds

In this length traveled by train = length of train + Length of bridge

( as time given is to completely cross platform )

Therefore,

length traveled by train = 61 + Length of bridge

formula used

Distance  = Speed * Time

61 + Length of bridge =  18 * 4

61 + Length of bridge = 72

Length of bridge  = 72 - 61

Length of bridge  = 11 cm

Hence, the length of the bridge is 11 cm .

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Related Questions

B is the midpoint of AC. What is the value of x if AC = 52 and AB = 3x - 4

Answers

Answer:

x = 10

Step-by-step explanation:

Since B is the midpoint of AC then AB = BC = 3x - 4 and

AB + BC = AC , thus

3x - 4 + 3x - 4 = 52, that is

6x - 8 = 52 ( add 8 to both sides )

6x = 60 ( divide both sides by 6 )

x = 10

simplfy the given equation using the distributive property 5x + 2(x - 3) = -2(x - 1)

Answers

Answer:

     x = [tex]\frac{8}{9}[/tex]

Step-by-step explanation:

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

  5x + 2x - 6 = -2x +2

5x + 2x + 2x = 2 + 6

               9x = 8

                 x = [tex]\frac{8}{9}[/tex]

Answer:

The value of x in the given equation is 0.89

Step-by-step explanation:

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

Distribute 2 to (x - 3)

5x + 2x - 6 = -2(x - 1)

Distribute 2 to (x - 1)

5x + 2x - 6 = -2x + 2

Combine 5x and 2x on the left side of the equation.

7x - 6 = -2x + 2

Add 6 on both side of the equation.

7x = -2x + 8

Add 2x on both sides of the equation.

9x = 8

Now divide 9 from 8. Make sure you round the decimal because the quotient of these numbers is a repeating decimal.

x = 0.89

So, the value of x is 0.89

What is the slope and the y-intercept of the line on the graph below? On a coordinate plane, a line goes through points (0, 1) and (4, 0).

Answers

The slope is the change in Y over the change in x:

Slope = (0-1) / 4-0) = -1/4

Slope = -1/4

Y intercept is the Y value when x is equal to 0. In the point (0,1) x is 0 and y is 1, so the y-intercept is 1


4. The function g is defined by
the value of (60) ?

Answers

Answer:

Here for the comments .

Step-by-step explanation:

Please answer this question now

Answers

Answer:

112°

Step-by-step explanation:

Arc CD is part of arc BCD, which is intercepted by the inscribed angle A.

Based on the inscribed angle theorem on circle, the sum of arc CD and CB is twice the measure of angle A.

That is:

CD + CB = 2(129°)

CD + 146 = 2*129

CD + 146 = 258

Subtract 146 from both sides to find CD

CD + 146 - 146 = 258 - 146

CD = 112°

The digits of a 2 digit number differ by 3. Is the digits are interchanged, and the resulting number is added to the original number, we get 143. What can be the number?

Answers

Answer:

58

Step-by-step explanation:

Hello, let's note the two digits a and b. the first number 'ab' can be written as 10a +b. For instance if this is 24 it can be written 20 + 4.

If the digits are interchanged the number become 'ba' so 10b + a

We can say that 10a + b + 10b + a = 143

11(a+b)=143

We divide by 13 both sides and we take

a+b = 143/11 = 13

and we know that the digits differ by 3 so b = a + 3

then a + b = a + 3 + a = 2a + 3 = 13

so 2a = 10 and then a = 5

Finally, b = 5+3=8 so the number is 58.

And we can verify that 58 + 85 = 143.

Thanks

Answer:

Let the unit digit be x and tens digit be x + 3

Therefore, the original number = 10(x + 3) + x

On interchanging, the number formed = 10x + x + 3

❍ According to Question now,

➥ 10(x + 3) + x + 10x + x + 3 = 143

➥ 10x + 30 + 12x + 3 = 143

➥ 22x + 33 = 143

➥ 22x = 143 - 33

➥ 22x = 110

➥ x = 110/22

x = 5

__________________...

Therefore,

The unit digit number = x = 5

The tens digit number = x + 3 = 5 + 3 = 8

__________________...

The original number = 10(x + 3) + x

The original number = 10(5 + 3) + 5

The original number = 50 + 30 + 5

The original number = 85

Hence,the original number is 85.

A farm has a square fenced-in area with side length x where the farm gives children pony rides. Adjacent to one entire side of the square area, there is a roped-off rectangular area where the children line up. This rectangle is 4 yards wide and x yards long.


1.The total area of the square and rectangular areas together is 2,700 square yards. Write an equation that represents this situation.

2. Use your equation from part a to find the dimensions of the roped-off rectangular area.

please help so i can pass my class!!

Answers

Answer:

1) x²+4x=2700

2) 50x50

Step-by-step explanation:

Pony area = x²

line-up area=4x

x²+4x=2700

x²+4x-2700=0

(x-50)(x+54)

So x= 50 or -54.  Since it can’t be a negative number, it must be 50.

CHECK:

Square = 50x50 = 2500

Line up area = 50x4 = 200

2500+200=2700 YES

Given the following three points, find by hand the quadratic function they represent.
(-1,-8), (0, -1),(1,2)
(1 point)
Of(x) = -51% + 87 - 1
O f(x) = -3.2? + 4.1 - 1
Of(t) = -202 + 5x - 1
Of(1) = -3.1? + 10.1 - 1​

Answers

Answer:

The correct option is;

f(x) = -2·x² + 5·x - 1

Step-by-step explanation:

Given the points

(-1, -8), (0, -1), (1, 2), we have;

The general quadratic function;

f(x) = a·x² + b·x + c

From the given points, when x = -1, y = -8, which gives

-8 = a·(-1)² + b·(-1) + c = a - b + c

-8 =  a - b + c.....................................(1)

When x = 0, y = -1, which gives;

-1 = a·0² + b·0 + c = c

c = -1.....................................................(2)

When x = 1, y = 2, which gives;

2 = a·1² + b·1 + c = a + b + c...............(3)

Adding equation (1) to (3), gives;

-8 + 2 = a - b + c + a + b + c

-6 = 2·a + 2·c

From equation (2), c = -1, therefore;

-6 = 2·a + 2×(-1)

-2·a  = 2×(-1)+6 = -2 + 6 = 4

-2·a = 4

a = 4/-2 = -2

a = -2

From equation (1), we have;

-8 =  a - b + c = -2 - b - 1 = -3 - b

-8 + 3 = -b

-5 = -b

b = 5

The equation is therefore;

f(x) = -2·x² + 5·x - 1

The correct option is f(x) = -2·x² + 5·x - 1.

Michelle's last electric bill listed a previous reading of 17.934 kWh. This month, the electric meter reading is
18,796 kWh. If the electric company charges $0.09 per kWh, what is the charge for usage?

Answers

Answer:

charge = 18796 * 0.09$

=1691.64$

Step-by-step explanation:

Answer:

18796 * 0.09$

=1691.64$  

Step-by-step explanation:

20liters of mixture contain milk nad water in the ratio 5:3 if 4liters of the mixture are replaced by 4 liters of milk find the new ratio of milk to water

Answers

Answer:

the new ratio milk/water is  14:6  or 7:3

Step-by-step explanation:

milk/water=5/3

milk +water=5+3=8

ratio of milk=5/8  and ratio of water=3/8

if 4 liter removed from mixture then: 20=4= 16 liter

the amount of milk in 16 liter=16*5/8=10 liter of milk

the amount of water in 16 liter=16*3/8= 6 liter

add 4 liter of milk to the mixture: 10+4=14 liter of milk and 6 liter of water

the new ratio milk/water is  14:6  or 7:3

-18 = -3x + 6 can anybody help me solve this problem

Answers

Answer:

[tex]\huge\boxed{x = 8}[/tex]

Step-by-step explanation:

[tex]\sf -18 = -3x+6\\Subtracting \ 6 \ to \ both \ sides\\-18-6 = -3x\\-24 = -3x\\Dividing \ both \ sides \ by \ -3\\8 = x\\OR\\x = 8[/tex]

Answer:

x = 8

Step-by-step explanation:

Here, -3x = -24

x = 8

hope that helps you

Of the 40 specimens of bacteria in a dish, 3 specimens have a certain trait. If 5 specimens are to be selected from the dish at random and without replacement, which of the following represents the probability that only 1 of the 5 specimens selected will have the trait?1) (5/1)/(40/3)
2) (5/1)/(40/5)
3) (40/3)/(40/5)
4) (3/1)(37/4)/(40/3)
5) (3/1)(37/4)/(40/5)

Answers

Answer:

[tex]\frac{(^3_1)*(^{37}_4)}{(^{40}_5)}[/tex]

Step-by-step explanation:

The total number of ways in which 5 specimens can be selected from the  dish at random is given as C(40, 5).

Since only one of the five specimens would have the trait, the number of ways of selecting the one specimen out of the 3 specimens with the trait is C(3, 1).

3 specimens have the trait therefore 37 specimens (40 - 3) do not have the trait. The number of ways in which the remaining 4 specimens out of the 5 spemimens that do not have the trait is C(37, 4).

Therefore, the probability that only 1 of the 5 specimens selected will have the trait = [tex]\frac{C(3,1)*C(37,4)}{C(40,5)} =\frac{(^3_1)*(^{37}_4)}{(^{40}_5)}[/tex]

solve 15x²+8x+1÷ 2x-y​

Answers

Answer:

\frac{\left(5x+1\right)\left(3x+1\right)}{2x-y}

Step-by-step explanation:

15x^2+8x+1:\quad \left(5x+1\right)\left(3x+1\right)

add on 2x -y as the denominator of the fraction

help me im dangered plzzzzzzzzzzzzzzzzzzzz

Answers

Answer:

A

Step-by-step explanation:

Hi!

An exponent is the same thing as just multiplying the expression by itself the number of times the exponent says. So we need to multiply 1/3 by itself three times.

1/3 * 1/3 * 1/3 = 1/27

the answer to your question is A

what does -5/7 x 1/5 equal?

Answers

Answer:

The answer is -0.04

Step-by-step explanation:

Could you help with maths please? All shown on the picture :)

Answers

Answer:

4 is tenths (a) and 5 is hundredths (b)

Step-by-step explanation:

Now, 0.45

0 indicates the ones place (it comes before the decimal)

0.45 can also be written as:

0.4+0.05

= 4/10+5/100

what can we conclude from this?

we can say that 4 is in the tenths whilst 5 is in the hundredths.

therefore, a is 4 and b is 5.

Hope this helps you! :)

jessica weighs x+34 pounds and Ronda weighs 12 pounds less. If Jessica gains 5 pounds and Ronda loses 2 pounds, what is the sum of their new heights.

Answers

Answer:

2x+59.

Step-by-step explanation:

Let J represent Jessica's weight and R represent Ronda's weight.

Jessica weighs x+34 pounds. Thus:

[tex]J=x+34[/tex]

Ronda weighs 12 pounds less than Jessica. In other words:

[tex]R=J-12=(x+34)-12\\R=x+22[/tex]

The sum of their weights, therefore, is:

[tex]J+R\\=(x+34)+(x+22)=2x+56[/tex]

Now, if Jessica gains 5 pounds and Ronda loses 2 pounds, the net gain of the total weight would be 3 pounds. Thus, we only need to add 3 to the original total to find the sum of their new weights:

[tex]2x+56+3=2x+59[/tex]

The sum of the new [weights] is represented by 2x+59.

on a map the distance between rip and Janeiro Brazil and San Jose Costa Rica is 4 inches.the scale on the map shows that 1 inch=200 miles ,or if you write it as a ratio.. how would set up a proportion if you want to figure out how many miles it is form Rio de Janeiro to San jose.?

Answers

Answer:

The way a proportion is set is as follows;

[tex]\dfrac{1 \ inch}{200 \ miles } = \dfrac{4 \ inches}{ Distance \ from \ Rio \ de \ Janeiro \ to \ San \ Jose}[/tex]

The Distance from Rio de Janeiro and San Jose Costa Rica is then found as  800 miles

Step-by-step explanation:

The dimension of the distance between Rio de Janeiro and San Jose Costa Rica = 4 inches

The map scale = 1 inch to 200 miles

To figure out how many miles it is or the actual distance from Rio de Janeiro and San Jose Costa Rica, we have;

[tex]\dfrac{1 \ inch}{200 \ miles } = \dfrac{4 \ inches}{ Distance \ from \ Rio \ de \ Janeiro \ to \ San \ Jose}[/tex]

Therefore, we have;

(4 inches × 200 miles)/(1 inche) = Distance from Rio de Janeiro and San Jose Costa Rica

Which gives;

Distance from Rio de Janeiro and San Jose Costa Rica = 800 miles.

PLEASE HELP Give me an example of a negative correlation

Answers

Answer:

Step-by-step explanation:

An example of a negative correlation is tv viewing and student test grades.

Another example is the video game playing and test grades

the perimeters of two squares are 60 meters and 144 meters respectively. find the perimeter of another square equal in area to the sum of the first two squares

Answers

Answer:

Step-by-step explanation:

perimeter of first square = 4 × side = 60 m

∴ side = 60/4 = 15 m

so area = s × s = 15 × 15 = 225 m^2

perimeter of second square = 4 × side = 144 m

∴ side = 144/4 = 36 m

so area = s × s = 36 × 36 = 1296 m^2

Perimeter of the third square = sum of areas of the first and second triangle

= 225 + 1296

= 1521 m

hope this helps

plz mark as brainliest!!!!!

Answer:

Perimeter of new square =  156 m

Step-by-step explanation:

First square:

 Perimeter = 60 m

 4 * side = 60 m

side = 60/4

side = 15 m

Area of first square = side * side = 15 * 15 = 225 m²

Second square:

 Perimeter = 144 m

 4 * side = 144 m

side = 144/4

side = 36 m

Area of second square = side * side = 36 * 36 = 1296 m²

New square:

Area of new square = area of first square + area of second square

                                  = 225 + 129

Area of new square = 1521 m²

   side * side = 1521

    side = √1521 = √39*39

     side = 39 m

Perimeter of new square = 4 * 39 = 156 m

Carey earns $9.75 working part time on weekends. The table below shows the amount, a, Carey earns for working h hours. Carey’s Earnings h 0 1 3 a $0 $9.75 ? Which value completes the table to show the amount Carey earns for working 3 hours?

Answers

Answer:

$29.25

Step-by-step explanation:

For every 1 hour, Carey earns $9.75.  Multiply $9.75 by 3 to find out how much she earns for 3 hours of work.

$9.75 × 3 = $29.25

Carey earns $29.25 for working 3 hours.

Answer:

29.25

Step-by-step explanation:

I got it right on edge!! trust me

Variance 0.7775

Find the standard deviation (hint: the standard deviation is the square root of the variance)

Answers

Answer:

0.88175960442

Step-by-step explanation:

The square root of 0.7775 is 0.88175960442

The value of standard deviation will be;

⇒ 0.8803

What is mean by square root of a number?

A square root of a number is a value that multiplied by itself gives the same number.

Given that;

The value of Variance = 0.7775

Now,

Since, The standard deviation is the square root of the variance.

Hence, We can formulate;

The value of standard deviation = √0.7775

                                                 = 0.8803

Thus, The value of standard deviation will be;

⇒ 0.8803

Learn more about the standard deviation visit:

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give area of a rectangle measuring 12 ft by 9ft and please show all the work

Answers

Answer:

Area= 108ft²

Step-by-step explanation:

To find the area of a rectangle, you must do the following formula:

Area= Length × Width

A represents Area

L represents Length

W represents Width

Because the length (length is always longer than width) is 12 ft and the width (width is always shorter than length) is 9 ft. Your equation should be:

A= L × W

= 12ft × 9ft

= 108 ft²

Remember: The answer to a question asking for the area of a shape that is 2D, is always squared (let x represents the answer: x²). And the question asking the area of a shape that is 3D always cubed (let x represents the answer: x³). Always write the unit of measurement (let x represent the answer and cm as the example of unit of measurement: x cm²)

I hope this helps! I'm sorry if it's too complicated.

Estimate the solution to the system of equations.

Answers

Hey there! I'm happy to help!

Since we are using graphs, we will do not need to algebraically solve this system of equations.

When you graph a system of equations, the solution is always the point at which the two lines intersect.

Here is our system of equations graphed. We see that the lines intersect at about (1 1/3, 2 1/3). Therefore, the correct answer is C. x=1 1/3, y=2 1/3

Have a wonderful day! :D

Whats the volume of a ball if diameter is 17

Answers

Answer:

818.8333333 *pi

or

Using the pi button on the calculator

2572.440785

Using 3.14 for pi

2571.13666666

Step-by-step explanation:

We need the radius

r = d/2

r = 17/2 = 8.5

We can find the volume using

V = 4/3 pi r^3

V = 4/3 pi ( 8.5)^3

V =818.8333333 *pi

  Using the pi button on the calculator

2572.440785

Using 3.14 for pi

2571.13666666

20. A pool holds 1440 cubic feet of water, the city charges $1.75 per cubic meter of water used.
How much will it cost to fill the pool?

Answers

Answer:Conversion units

Step-by-step explanation: 1 ft^3= 0.028m^3 .: 1440ft^3=40.776m^3, so $1.75x40.776=$71.358~ $71.36.:

Answer:

$71.36

Step-by-step explanation:

1 foot = 0.3048 metros

1 cubic feet = (0.3048metros)³ = 0.02932 cubic meters   (aprox.)

1440 cubic feet = 1440*0.02932 = 40.7763 m

$1.75 por cubic meter:

1.75*40.7763 = $71.36

I need Helpppp quick!!!!

Answers

Answer:

G

Step-by-step explanation:

let his fixed price be x and his hourly fee be y;

270 = 4y + x

420 = 7y + x

x is common in both equations

equate the two;

x = 270-4y and x = 420-7y

270-4y = 420-7y

3y = 150

y = 50

x = 270-4*50

x = 70

What’s 4%x56? 2 A.2.24 B.1.12 or C.0.448

Answers

Answer:

A. 2.24

Step-by-step explanation:

Multiply 56 by 0.04

56(0.04)

= 2.24

Answer:

Option A

Step-by-step explanation:

4% * 56 =

0.04 * 56 = (Convert the percent into a decimal.)

2.24 (Multiply)

Hope this helps.

Which equation represents the line that is perpendicular to y=1/4 and passes through (-6,-9)?

Answers

Answer:

perpendicular means

m1 = 1/4

m2= -1/(1/4)

= -4 (Perpendicular slope)

(-6,-9) = (x1,y1)

so,

y-y1 = m (x-x1)

y-(-9)= -4 (x-(-6))

y+6 = -4 (x+6)

y+6 = -4x-24

y= -4x-24+6

y= -4x-18

hope it helps ^°^

Answer:

[tex]\displaystyle \boxed{y = -4x - 33}[/tex]

Step-by-step explanation:

[tex]\displaystyle y = \frac{1}{4}x[/tex]**

Now, perpendicular equations have OPPOSITE MULTIPLICATIVE INVERSE RATE OF CHANGES [SLOPES], so [tex]\displaystyle \frac{1}{4}[/tex]becomes −4 and you do the following:

−9 = −4[6] + b

24

[tex]\displaystyle -33 = b \\ \\ y = -4x - 33[/tex]

I am joyous to assist you at any time.

Which graph represents a function?

Answers

Answer:

The first Answer:

Step-by-step explanation:

The x-values are not the same on one line:

Image

The line connecting isn't perfect but see what I mean?

Other Questions
Read the scenario and choose the option that answers the question.Lisa era la ms joven de la familia.Based on the text, what is true about Lisa? She was older than the rest. She was younger than the rest. She was the oldest. She was the youngest. Soft and Silky, Inc. manufactures bedding sets. The budgeted production is for 53,000 comforters during the upcoming year. Each comforter requires 6 yards of material. The estimated January 1, 20Y7, beginning inventory is 31,000 yards. The desired ending balance is 30,000 yards of material. If the material costs $1.50 per yard, determine the materials budget for the year. The current price of a certain non-dividend-paying stock is $120.00. The future 2 pri ce is characterized by the following probability distribution: EVENT PROBABILITY FUTURE PRICE P RETURN RA 0.18 $180 ?B 0.09 $108 ?C 0.3 $90 ?D 0.25 $81 ? E ? $225 Calculate [i] the expected future price, [ii] the return in each of the five events, and [iii] Calculate l the expected return. Recall that for a stock which does not pay dividends, return is just ain divided by the initial price. Expected return can be calculated in two ways: [a]: You could calculate the return to be realized in each of the five events, and then calculate the expected value of the return, or, [b]: You could calculate the expected price first, and then use the possible fact that:E(R) = E(P)/Po - 1 SOMEONE PLEASE HELP.............Select the type of equations.consistentequivalentinconsistent The supreme court ciyes thesecases because it seeks to what? Horse and Buggy Inc. is in a declining industry. Sales, earnings, and dividends are all shrinking at a rate of 10% per year. a. If r = 15% and DIV1 = $3, what is the value of a share? By what angle should the second polarized sheet be rotated relative to the first to reduce the transmitted intensity to one-half the intensity that was transmitted through both polarizing sheets when aligned How do you think the absence of 16 million people affected Americas economy and society? Answer it, answer it, answer it. A ladder rests in limiting equilibrium against a rough vertical wall and with its foot on rough horizontal ground, the coefficient of friction at both points of contact being 0.5. The ladder is uniform and weighs 300N. Find the angle which the ladder makes with the horizontal ground. Find also the normal reactions at the wall and the ground. On January 1, 2021, Kendall Inc. began construction of an automated cattle feeder system. The system was finished and ready for use on September 30, 2022. Expenditures on the project were as follows: January 1, 2021 $ 235,000 September 1, 2021 $ 342,000 December 31, 2021 $ 342,000 March 31, 2022 $ 342,000 September 30, 2022 $ 235,000 Kendall borrowed $764,000 on a construction loan at 7% interest on January 1, 2021. This loan was outstanding throughout the construction period. The company had $4,570,000 in 7% bonds payable outstanding in 2021 and 2022. Average accumulated expenditures for 2021 was: Explanation/Answer would be appreciated please To be effective, your goals must be balanced in the following areas:a. Career, Fun, Health, Relationship, Spiritualityb. Environmental, Spirituality, Organicc. Career, Financial, Health and Fitness, Relationships, Spirituality Let f(x) = 5x + 12. Find f1(x). Mark each of the following as true or false and explain how you know. Help pleaseeeee. Tyyy A belt is run over two drums. The larger drum has weight 4 lbs and a radius of gyration of 1.25 inches while the smaller drum has weight 2.7 lbs and a radius of gyration of 0.75 inches. The tension from the smaller drum is held constant at 6 lbs. If it is known that the speed of the belt is 11 ft/s after 0.16 s, what is the tension between the drums? Match the words with their definitions,sustenanceRome1. to reduce the amount in blocks or sizable amounts2. food and drink; necessary foods in order to stay alivesettlement that relocated due to lack of resources and3.sustenance4. civilization that may have fallen due to a lack of goals5. grew due to the goals of increasing its international tradedecimateNew York CitySinagua tribe Name one real-world object that suggests A. Points B. Lines and C. Planes Compare and contrast the following forms of business organization: sole proprietorship,general partnership,limited liability company,and corporation as to ease of formation,liability of owners,management,and tax implications.