Ardi and Lei are both travelling by train.
Ardi's train travels 70 km in 35 minutes.
Lei's train travels 585 km.
It leaves at 9:05 and arrives at 13:35.
Work out the difference, in km/h, between the average speed of their trains.

Answers

Answer 1

Answer:

10 kilometer/hour

Step-by-step explanation:

Average speed = Total distance travelled / Total time taken

Ardi:

Total distance travelled = 70 km

Total time taken = 35 minutes = 35/60 hour

Average speed = Total distance travelled / Total time taken

= 70 km ÷ 35/60 hr

= 70 × 60/35

= 4,200/35

= 120 kilometer/hour

Lei:

Total distance travelled = 585 km Total time taken = 9:05 - 13:35 = 4 hours 30 minutes

= 4.5 hours

Average speed = Total distance travelled / Total time taken

= 585 km / 4.5 hours

= 130 kilometer/hour

Difference, in km/h, between the average speed of their trains = Lei's train - Ardi's train

= 130 kilometer/hour - 120 kilometer/hour

= 10 kilometer/hour


Related Questions

Someone please help me

Answers

[tex]( {9x}^{2} - 4)( {9x}^{2} + 4) \\ (3x - 2)(3x + 2)( {9x}^{2} + 4)[/tex]

The function f(t) = 4t2 − 8t + 7 shows the height from the ground f(t), in meters, of a roller coaster car at different times t. Write f(t) in the vertex form a(x − h)2 + k, where a, h, and k are integers, and interpret the vertex of f(t).

Answers

Answer:

Vertex form is f(t) = 4 [tex](t-1)^{2}[/tex] +3 and vertex is (1, 3).

Step-by-step explanation:

It is given that f(t)= 4 [tex]t^{2}[/tex] -8 t+7

Let's use completing square method to rewrite it in vertex form.

Subtract both sides 7

f(t)-7 = 4 [tex]t^{2}[/tex] -8t

Factor the 4 on the right side.

f(t) -7 = 4( [tex]t^{2}[/tex] - 2 t)

Now, let's find the third term using formula [tex](\frac{b}{2} )^{2}[/tex]

Where 'b' is coefficient of 't' term here.

So, b=-2

Find third term using the formula,

[tex](\frac{-2}{2} )^{2}[/tex] which is equal to 1.

So, add 1 within the parentheses. It is same as adding  4 because we have '4' outside the ( ). So, add 4 on the left side of the equation.

So, we get

f(t) -7 +4 = 4( [tex]t^{2}[/tex] -2 t +1)

We can factor the right side as,

f(t) -3 = 4 [tex](t-1)^{2}[/tex]

Add both sides 3.

f(t) = 4[tex](t-1)^{2}[/tex] +3

This is the vertex form.

So, vertex is (1, 3)

Help me please. Thanks.

Answers

(3,4) (5,6) and then you graph it

Step-by-step explanation:

for your 1008 question:

1008/2

504/2

252/2

126/2

63/3

21/3

7/7

1

1008 = 2x2x2x2x3x3x7

1008 = (2^2)×(2^2)x(3^2)×7, so 7 would be the answer because of this

lmk if you need me to elaborate on anything

What is the number that fills in for AD?

Answers

the answer is in the picture

8x^2y-18y^3
Maths assignment

Answers

Answer:

[tex]8x^2y-18y^3[/tex]

[tex]=8x^2y-18yy^2[/tex]

[tex]=4\cdot \:2x^2y+9\cdot \:2yy^2[/tex]

[tex]=2y\left(4x^2-9y^2\right)[/tex]

[tex]=2y\left(2x+3y\right)\left(2x-3y\right)[/tex]

----------------------

Hope it helps...

Have a great day!!

Out of 100 students, 80 passed in Science, 71 passed in Math, 10 failed in both subjects nd 7 did not appear in an examination. Find the number of students who passed in both subjects by representing the above information in a Venn-diagram.

Answers

Answer:

68

Step-by-step explanation:

Total students = 100Failed and didn't appear = 10 + 7 = 17Total passed = 100 - 17 = 83Passed in Science and in Math = 80 + 71 = 151Passed in both subjects = 151 - 83 = 68

The total number of students,

→ 100 students

No. of students were absent & failed,

→ 7 + 10

→ 17 students

No. of students totally passed,

→ 100 - 17

→ 83 students

No. of students passed in Science,

→ 80 students

No. of students passed in Mathematics,

→ 71 students

Then add both science and math,

→ 80 + 71

→ 151 students

No. of students passed in both subjects,

→ 151 - 83

→ 68 students

Therefore, the number of students who passed in both subjects are 68 students.

the base of a right prism is an equilateral triangle each of whose sides measures 4cm.the altitude of the prism measures 5cm.Find the volume of the prism ​

Answers

Answer:

[tex]V=34.64\ cm^3[/tex]

Step-by-step explanation:

Given that,

The side of an equilateral prism = 4 cm

The altitude of the prism = 5 cm

We need to find the volume of the prism. The formula for the volume of a prism is as follows :

[tex]V=A\times h[/tex]

Where

A is the area of equilateral triangle, [tex]A=\dfrac{\sqrt3}{4}a^2[/tex]

So,

[tex]V=\dfrac{\sqrt3}{4}a^2\times h\\\\V=\dfrac{\sqrt3}{4}\times 4^2\times 5\\\\V=34.64\ cm^3[/tex]

So, the volume of the prism is equal to [tex]34.64\ cm^3[/tex].

What is the exact value of tan (9 pi)/12

Answers

Answer:

tan(9pi/12) = 0.041146549

Step-by-step explanation:

On a horizontal number line, positive numbers are_____
On a vertical number line, negative numbers are_______
The number is_______

Answers

Answer:

the horizontal are called x-axis, while the vertical are called y-axis

Could someone help me please

Answers

Answer:

none of them because their is no value of side MN and AC

Find sin A, round to the nearest hundredth.

Answers

Answer:

.92

Step-by-step explanation:

sin A = opp side/ hypotenuse

       

We can use the Pythagorean theorem to find the hypotenuse

a^2 + b^2 = c^2  where a and b are the legs and c is the hypotenuse

3^2 +7^2 = AC ^2

9+49 = AC ^2

58 = AC^2

Taking the square root

sqrt(58) = hypotenuse

sin A = 7/sqrt(58)

sin A =.91914503

sin A = .92

Question 1 of 10 An equation allows you to find the x- and y-coordinates of any point on the xy- plane. A. True B. False​

Answers

Answer:

True

Step-by-step explanation:

The requried, an equation allows you to find the x- and y-coordinates of any point on the xy- plane. The given statment is true.

What is the equation?

The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.

An equation in two variables (such as y = mx + b, where m and b are constants) allows you to find the x- and y-coordinates of any point on the xy-plane that satisfies the equation.

To find the x-coordinate of a point, you can plug in a value for y and solve for x. To find the y-coordinate of a point, you can plug in a value for x and solve for y.

Learn more about equations here:

brainly.com/question/10413253

#SPJ7

a set has 62 proper subsets how many elements has it for?

Answers

Answer:

6

Step-by-step explanation:

Total number of subsets is given as

[tex] {2}^{n} [/tex]

But the subset of a set consists of the proper subsets, an empty set and the set itself.

Total number of subsets are 64

Therefore,

[tex] {2}^{n} = 64[/tex]

[tex] {2}^{n} = {2}^{6} [/tex]

Comparing both sides

[tex]n = 6[/tex]

Solve for x. Round to the nearest tenth of a degree, if necessary.

Answers

Answer:

X=39.3

Step-by-step explanation:

Cos=adjacent/hypotenuse

Cosx=6.5/8.4

X=arccos(6.5/8.4)

X=39.3° rounded from 39.302°

find the area and perimeter of a circle​

Answers

Answer:

Step-by-step explanation:

r=5 cm

area=πr²

perimeter=2πr

substitute the value of r and calculate.

Answer:

78.54 [tex]cm^{2}[/tex] Area

31.42 cm   Circumference/perimeter

Step-by-step explanation:

A = [tex]\pi r^{2}[/tex]

C = 2[tex]\pi[/tex]r

A = [tex]\pi[/tex][tex]5^{2}[/tex]

A = 25[tex]\pi[/tex]

A = 78.54

C = 2[tex]\pi[/tex](5)

C = 10[tex]\pi[/tex]

C = 31.42

Camille has 3/4 of a cup of powdered sugar. She sprinkles 1/5 of the sugar onto a plate of brownies and sprinkles the rest onto a plate of lemon cookies. how much sugar does Camille sprinkle on the brownies.​

Answers

Answer:

3/20 of a cup of sugar

Step-by-step explanation:

Find how much she sprinkled on the brownies by multiplying 3/4 by 1/5:

3/4 x 1/5

= 3/20

So, she sprinkled 3/20 of a cup of sugar on the brownies

Express 2 minutes as a percentage of 5 minutes.

Answers

Answer:

40%

Step-by-step explanation:

2 / 5 = 0.40

0.40 x 100 = 40%

A sector of a circle of radius is 15Cm, and angle 216 degrees is bent to form a cone. What is base radius of the cone and the vertical height of the cone?​

Answers

Answer:

Step-by-step explanation:

Radius r = 15

Circumference = 2πr = 30π cm

Circumference of cone = arc length of sector

= 30π × 216°/360°

= 18π cm

Radius of base of cone = 18π/(2π) = 9 cm

Slant height of cone = radius of circle = 15 cm

Height of cone = √(15² - 9²) = 12 cm

Factor the expression below. A. (x − 6)(x − 6) B. 6(x2 − x + 6) C. (x − 6)(x + 6) D. (x + 6)(x + 6)

Answers

Step-by-step explanation:

X(x+6) - 6(x+6)

X+6x-6x-36

X-36

Draw an angle and then draw the opposite ray to one of its sides to form a linear pair. Find the measure of the angle formed by the angle bisector of the original angle and the opposite ray if the original angle bisector measures 50 degrees, 90 degrees, and 150 degrees If the angle equals 50 degrees then the measurement of the required angle is

Answers

Answer:

1. 155 degree

2. 135 degree

3. 105 degree

Step-by-step explanation:

1. Let the original angle is 50 degree, the opposite angle which forms a linear pair is 180 - 50 = 130 degree.

Now the angle bisector is 25 degree from the original ray , the angle between the bisector and the opposite ray is 130 + 25 = 155 degree.

2. Let the original angle is 90 degree, the opposite angle which forms a linear pair is 180 - 90 = 90 degree.

Now the angle bisector is 45 degree from the original ray , the angle between the bisector and the opposite ray is 90 + 45 = 135 degree.

3. Let the original angle is 150 degree, the opposite angle which forms a linear pair is 180 - 150 = 30 degree.

Now the angle bisector is 75 degree from the original ray , the angle between the bisector and the opposite ray is 30 + 75 = 105 degree.  

Solve for x. Round to the nearest tenth, if necessary.

Answers

Answer:

9.4

Step-by-step explanation:

cos 32° = 8/x

x = 8/ cos 32°

= 8/ 0.8480

= 9.4

The value of the variable 'x' using the cosine formula will be 9.4 units.

What is a right-angle triangle?

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.

The value of 'x' is given by the cosine of the angle ∠VWU. And the cosine of an angle is the ratio of the base and hypotenuse of the right-angle triangle. Then we have

cos 32° = 8 / x

x = 9.4

The value of the variable 'x' using the cosine formula will be 9.4 units.

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

#SPJ7

Heya Kitties! Can someone answer this for me?
3⋅2−1(−10)−3+12?
Thanks!

Answers

Answer:

the answer of the above question is -1.2

Of the 144 animals in the pet store, 56 are cats. The rest are dogs. What fraction of the pets are dogs?

Answers

Answer:

11/18

Step-by-step explanation:

56/144 = cats.

144 - 56 = 88

88/144 are dogs.

Simplified: 11/18

Which of the following correlation coefficient would represent the Strongest correlation? A) 0.12 B) -0.56 C) -0.91 D) 84.

Answers

Answer:

C) -0.91

Step-by-step explanation:

A indicates a very slight positive correlation; not a strong one. B indicates a moderate negative correlation, but again, not a strong one. D indicates a strong correlation, but it is less than C, which I will get to. The answer is C, and because it is closest to ± 1, it is the strongest correlation.

Answer:

c

Step-by-step explanation:

if p:q=1:2 and q:r=4:3,find p:q:r​

Answers

Answer:

2:4:3

Step-by-step explanation:

To Find :-

p : q : r .

Solution :-

By question ,

→ p :q= 1:2

→ q : r = 4 :3

Therefore ,

→ p/q × q/r = 1/2 × 4/3

→ p/r = 2/3

Again ,

→ p = 1/2q

→ r = 3/4 q

Henceforth ,

→ p : q : r

→ 1/2 q : q : 3/4q

→ 4/2q : 4q : 12/4 q

→ 2 : 4 : 3

Which of the following is an example of an exponential equation?
y=(3x)^2
y=x/2
y=x^4
y=2(3)^x

Answers

Answer:

Option D

Step-by-step explanation:

y = 2(3)^x is the example of exponential equation.

Need help on this! 10 points!!!

Answers

Answer:

C) or 1.25

Step-by-step explanation:

all you have to do is divide (thats how you undo multiplication)  150 and 120 (150/120) leading you to get 1.25.

HOPE THAT HELPED :D

What is the measure of Z?

Answers

Answer:

It is C

Step-by-step explanation:

142+28=180

180÷2=90

m∠v=90

question on the image
(with the steps)​

Answers

Answer:

40°

Step-by-step explanation:

The given triangle is a isosceles triangle . And we know that in a isosceles triangle opposite angles are equal . Therefore ,

> x + 70° + 70° = 180°

> x + 140° = 180°

> x = 180° - 140°

> x = 40°

Answer:

40 degrees

Step-by-step explanation:

We know that the base angles are congruent (a fancy word for equal) because of the slash marks. This means that both of the base angles are 70.

Every triangle adds up to 180 degrees.

So, You can just do 180 - (70+70)  

Algebra version:

70 + 70 + x = 180

140 + x = 180  (subtract 140 on both sides)

x = 40

hope this helps :)

Evaluate the function. f(x)=−x^2 Find f(−5)

Answers

Answer:

25

Step-by-step explanation:

put -5 from x so (-(-5))²=25

Solution:

For each occurence of x in f(x) substitute 4 and clculate the result

f(x)=-x^2+5 becomes

f(4)=-(4)^2+5

f(4)=-16+5

f(4)=-11

Other Questions
Find the measure of the indicated angle Desde el punto de vista demogrfico, es correcto decir que con el proceso de la Revolucin Industrial: I. Cambias las formas de produccin. II. Se dan fenmemos migratorios hacia ultramar (salir de Europa). III. Ocurre la migracin campo-ciudad Multiply and reduce to lowest form and convert into a mixed fraction: a) 15 x 3/5 b) 4 x 1/3 c) 5/2 x 6 Find the average rate of change of g(x)= 7x^4+7/x^3 on the interval [2,3] Crane Company purchases equipment for $2740 and supplies for $510 from Wildhorse Co. for $3250 cash. The entry for this transaction will include a debit to Equipment $2740 and a debit to Supplies Expense $510 for Wildhorse. credit to Accounts Payable for Crane. debit to Equipment $2740 and a debit to Supplies $510 for Crane. credit to Cash for Wildhorse. work out 1 2/3 x 1 1/5pls give the full answer with working out{NOTE:the 2/3 and the 1/5 are fractions and the 1's are the whole numbers} The number of all credit-card holders in the U.S. is IN(a) million card holders and the collective amount of credit card debt that all credit-card holders carry is D(x) billion dollars, x years after 2010. The average credit card debt per card holder at year x is: In 1681, which Middle Colony had an established Quaker religious community and was named for William Penn? A. Pennsylvania B. Rhode Island C. South Carolina D. New Jersey Outermost layer of virion fullfills which of the following functions maturation biosynthesis release attachment All standard costing methods use the predetermined overhead rate to apply factory overhead. This is based on an estimated amount that is calculated during the budgeting process at the beginning of the year. Therefore, there will almost always be a variance between the factory overhead that is applied and the actual factory overhead that is accumulated. These variances should be a minimal amount, but may sometimes be material. Therefore, it is important that an accountant find the cause of the variance, so as not to repeat it. Determining the reasons for variances is an important part of the overall process of variance analysis. Certain causes are commonly attributed to specific variances. Match each reason on the left with the variance(s) it commonly creates. Each numbered item has one or more correct answer(s). Each lettered item may be used once, more than once, or not at all.1. A change in the quality of materials purchased2. A new supplier contract3. Error in the accounting records4. Change in proportion of spoiled materials5. Unreasonable standard6. Unanticipated overtime hours7. A change in the government-mandated minimum wage8. Equipment malfunction9. A change in average worker experience or trainingA. Direct materials price variance B. Direct materials quantity varianceC. Direct labor rate varianceD. Direct labor efficiency What American norms are the the young men struggling with. Cue: The young men are struggling with ? list any 10 common good honey flora. According to the results, if a CEO in the Financial industry and a CEO in the Health Care industry both have 88 years of experience, what is the estimated difference in annual salary between the two CEOs The Nutrition Facts Panel on a food label lists the following information for amounts per serving 111 calories; 23 calories from fat. What percentage of the calories are provided by fat The bake sale will not have enough baked goods to sell. We all need to contribute to make it a success. We will make enough money. Velocity is vector quantity because?? What is the measure of x in the figure below? What fraction of the total number of students are boys? Why is it necessary to know about other cultures and why adapting to change is an important aspect of life?. William used 15 cm of tape to wrap 3 presents. Find the length of tape to wrap for 1 present?