Alex drives at an average speed that is
4/5 of the average speed that Roy's train travels.
Alex takes 15 minutes to travel 18 km in her car.
Roy travels for 1 hour and 45 minutes on his train.
How far does Roy travel to 2 dp?

Answers

Answer 1

Step-by-step explanation:

Alex takes 15 min to travel 18km

=> 1 hour amd 45 min to travel 18 * 7 = 126km.

Hence Roy travel 126km * (5/4) = 157.50km.


Related Questions

Determine which of the four postulates, if any, can be used to prove that the triangles are congruent.
50 points

Answers

Answer:

Option B

Step-by-step explanation:

Given:

AB ≅ CD

BC ≅ DA

To Prove:

ΔABD ≅ ΔCDB

      Statements                             Reasons

1). AB ≅ CD                              1). Given

2). BC ≅ DA                             2). Given

3). BD ≅ BD                             3). Reflexive property

4). ΔABD ≅ ΔCDB                   4). SSS postulate of congruence

Therefore, Option (B) will be the correct option.

A wholesale club sells eggs by the dozen. write an eqaution that relates the total cost of eggs (y) to the number of dozens of eggs (x)

Dozen Cost ($)
6 21
8 28
10 35
14 49

Answers

Answer:

[tex]y = 3.5x[/tex]

Step-by-step explanation:

Required

Determine the equation

First, pick corresponding x and y values

[tex](x_1,y_1) = (6,21)[/tex]

[tex](x_2,y_2) = (14,49)[/tex]

Next, calculate the slope

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

This gives:

[tex]m = \frac{49 - 21}{14 - 6}[/tex]

[tex]m = \frac{28}{8}[/tex]

[tex]m = 3.5[/tex]

The equation is then calculated using:

[tex]y - y_1 = m(x - x_1)[/tex]

[tex]y - 21 = 3.5(x - 6)[/tex]

[tex]y - 21 = 3.5x - 21[/tex]

Add 21 to both sides

[tex]y - 21+21 = 3.5x - 21+21[/tex]

[tex]y = 3.5x[/tex]

PLS PLS HELP! ASAP! Will mark brainliest!
Choose the correct simplification of the expression (d3)5.
1. d8
2. d15
3. d243
4. d

Answers

The Answer is A^15, a.k.a. A to the 15th power.

Step-by-step explanation:

First, apply the exponent rule. (a^b)^c = a^bc

You would get a^3*5 (* means times) (^ means to the power)

Second refine.

You would get d^15.

The answer is d^15.

XY = Y Z
2x = 5x-12
- 3x = -12

How do I solve ?

Answers

Answer:

Step-by-step explanation:

Well basically if you cancelled out y from both sides. You will find out x=z

-3x= -12

x=4

Thus z=4

If you were to be driving in a car at a high amount of speed and shot a gun out the window forward (towards the windshield forward). What would happen? Would the bullet keep going and eventually lose its power or would it come back and hit you? Use your own situations in the answers like what kind of speed, gun, caliber, wind speed whatever.

Answers

Answer:

If you shoot the bullet off the back of the car , the bullet will still be moving away from you and the gun at 1,000 mph, but now the speed of the train will subtract from the speed of the bullet. Relative to the ground, the bullet will not be moving at all, and it will drop straight to the ground.

Step-by-step explanation:

Step-by-step explanation:

If you shoot the bullet off the back of the train, the bullet will still be moving away from you and the gun at 1,000 mph, but now the speed of the train will subtract from the speed of the bullet. Relative to the ground, the bullet will not be moving at all, and it will drop straight to the ground.If you fire a gun into the air, the bullet will travel up to a mile high (depending on the angle of the shot and the power of the gun). Once it reaches its apogee, the bullet will fall. ... In crowded cities, however, the probability rises dramatically, and people get killed quite often by stray bullets

Plz Mark me as brainlist

What is the determinant of A={-2 2 -5
{4 -1 -2 }
{ 1 3 -5

Answers

Answer:

[tex]A' = -51[/tex]

Step-by-step explanation:

Given

[tex]A = \left[\begin{array}{ccc}-2&2&-5\\4&-1&-2\\1&3&-5\end{array}\right][/tex]

Required

Determine the determinant of A (A')

If

[tex]A = \left[\begin{array}{ccc}a&b&c\\d&e&f\\g&h&i\end{array}\right][/tex]

Then,

[tex]A' = a(e*i - f * h) - b(d * i - g * f) + c(d * h - e * g)[/tex]

So:

The determinant of [tex]A = \left[\begin{array}{ccc}-2&2&-5\\4&-1&-2\\1&3&-5\end{array}\right][/tex] is

[tex]A' = -2(-1 * -5 -(-2)*3) -2(4 * -5 -(-2) * 1) -5(4 * 3- (-1) * 1)[/tex]

[tex]A' = -2(5 +6) -2(-20 +2) -5(12 + 1)[/tex]

[tex]A' = -2(11) -2(-18) -5(13)[/tex]

[tex]A' = -22 +36 -65[/tex]

[tex]A' = -51[/tex]

Hence, the determinant is -51

What are prime numbers? I have an exam and I need to know it.​

Answers

Answer:

Prime numbers are numbers that have only 2 factors: 1 and themselves. For example, the first 5 prime numbers are 2, 3, 5, 7, and 11. By contrast, numbers with more than 2 factors are call composite numbers.

Step-by-step explanation:

Answer:

2 3 5 7 11 13 17 19 23 29

Step-by2-step explanation:

Only being divided integrately by 1 and itself.

Please help! Linear Equation word problems using the Ax + By = C form!

Answers

Answer:

1. T = 5x + 3y

2. 16 tomatoes.

Step-by-step explanation:

1. Determination of the linear expression.

Let x represent the number of pumpkin.

Let y represent the number of tomato.

Let T represent the total sales made from selling the pumpkins and tomatoes.

From the question,

1 pumpkin = $ 5

Hence,

x pumpkin = 5x

1 tomatoe = $ 3

Hence

y tomatoes = 3y

Therefore, the total sales (T) made from selling the pumpkin and tomatoes will be:

T = 5x + 3y

Where:

T is the total sales made from selling the pumpkin and tomatoes.

x is the number of pumpkin.

y is the number of tomatoe

2. Determination of the number of tomatoes sold.

Total cost (T) = $ 98

Number of pumpkin (x) = 10

Number of tomatoe (y) =?

T = 5x + 3y

98 = 5(10) + 3y

98 = 50 + 3y

Collect like terms

98 – 50 = 3y

48 = 3y

Divide both side by 3

y = 48/3

y = 16

Therefore, 16 tomatoes was sold.

Que es un Monomi i un Polinomi?

Answers

Answer: Traducción Española

Polynomi es un término matemático que muestra la suma de monomios. Monomi es un problema matemático donde las variables y constantes pueden estar solas o multiplicarse.

Step-by-step explanation:

English translation:

Polynomi is a mathematical term that shows the sum of monomials. Monomi is a mathematical problem where variables and constants can stand alone or multiply.

4t-8

select all that apply.

A: 4(t-2)
B: 4(t-8)
C: (t-2)4
D: 4(4t-2)​

Answers

Answer:

A. is the answer.

Step-by-step explanation:

4t-8=4×(t-2)

4=0

t-2 add to both side of equation

t=2

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




Charlie saves $2 for every $9 he earns. Melody saves $4A for
every $12 she earns. Is Charlie's ratio of money saved to money
earned equivalent to Melody's ratio of money saved to money
earned? Explain.

Answers

Answer:

They are the same.

Step-by-step explanation:

A 14-ounce energy drink contains 42 teaspoons of sugar. How much sugar is one ounce of the drink?

Answers

Answer:

3 teaspoons

Step-by-step explanation:

14-ounce        ⇒  42 teaspoons of sugar14/14 ounce    ⇒  42/14 = 3 teaspoons of sugar1-ounce           ⇒  3 teaspoons of sugar

write a situation for 1/3 x 3/4 = 3/12

Answers

Answer:

1/3x3/4=3/12

3/4=3/12x3/1

=3/12x3/1x4/3

=3/4

To divide a number by 1,000, move the decimal point _____.

three places to the right
four places to the right
three places to the left
four places to the left

Answers

Answer:

three places to the right!

Step-by-step explanation:

Move the decimal point to the right as many places as there are zeros in the factor. Move the decimal point one step to the right (10 has one zero). Move the decimal point two steps to the right (100 has two zeros).

Hope this helps!

The integer 4 is considered all of the following except _____.

a term
a constant
an expression
a variable

Answers

Answer:

variable

Step-by-step explanation:

variables are often expressed by letters

A football team has a net yardage of -33 yards on a series of plays. The team needs a net yardage of 10
yards to get a first down. How many yards do they have to get on their next play to get a first down?
331

Answers

Answer:

they need 43 more yards

Step-by-step explanation:

Consider the following equation: Log(yt )= 0.7 + 1.2log(st ) + 0.3log(st-1) + 0.2log(st-2) + 0.1log(st-3) What is the percentage increase in y given a permanent 1% increase in s? a. 1.2 b. 1.8 c. 2.5 d. 0.5

Answers

Answer:

a. 1.2

Step-by-step explanation:

From the given question, we will notice that the dependent variable, as well as the independent variable, are log-transformed in the model. Thus, a 1% increase in S will likely result in 1.2% increase in Y.

3 1/2 miles in 1/2 hour

Answers

Answer:

? 7 miles an hour i guess

O
If the sin 90° is 1, then the cos
(4 points

Answers

Answer:

What is the angle for cos, keep question clearly

If angle is 90° then answer is 0

Aisha spends 15 1/6 hours doing homework in September. She spends 18 3/4 hours doing homework in October.

How much longer does Aisha spend doing homework in October than in September?


2 1/3 h

2 7/12h

3 1/3​h

3 7/12​h

Answers

Answer:

its 3 7/12

Step-by-step explanation:

.......hope it helps...... need a thanks

Elsa took out a 4-year loan to buy a car at a 7.25% simple interest rate. If she has to pay $2,900 in interest. How much interest did she pay each 1 year?

Answers

Answer:

her life

Step-by-step explanation:

A varsity boy's basketball team has ratio of seniors and juniors that is 7:4. If the team is made up of only juniors and seniors, what is the ratio of seniors to the total team members?

Answers

Answer:

7:11

Step-by-step explanation:

From the question

Seniors : Junior's

7:4

The sum of the proportion = Total team members = 7 + 4 = 11

Hence, the ratio of seniors to total team members =

Senior : Total team members

7 : 11

What’s the answers. Please and thanks

Answers

Answer:

a) 500

b) 9.6 years

Step-by-step explanation:

Population of Ilamas

a) P = 500 e ^0.035t

Find P when t = 0

Solving for P

P = 500 e ^0.035 × 0

P = 500 × e ⁰

P = 500 × 1

P = 500

The population of the Ilamas when t = 0 is 500

b ) Find t when P = 700

P = 500 e ^0.035t

700 = 500 e ^0.035t

Divide both sides by 500

700/500 = 500 e ^0.035t/500

7/5 = e ^0.035t

1.4 = e ^0.035t

Take In of both sides

In 1.4 = In (e ^0.035t)

In 1.4 = 0.035t

t = In 1.4/0.035

t = 0.3364722366/0.035

t = 9.6134924749 years

t = Approximately to the nearest tenth of a year = 9.6 years

Please help ! And , give the right answer please .​

Answers

Answer:

none of them are constant of proportinality.

Step-by-step explanation:

because if you divided each one. you do not get the same answer. if you did it would have to be either  of the others, but in this case there is no constant of proportinality in that chart

Answer: D( not proportional)

Step-by-step explanation:

3*4= 12

6*4= 24

9*4=36

12*4=48

The two lasts x and y values are not proportionate because they don’t follow the same order of times 4

A $65 video game has a 5% shipping charge. What is the cost of the shipping charge?
PLS HELP FAST!!

Answers

65 * 0.05 = 3.25
The shipping charge is $3.25
shipping would be
$3.25

vary hard 12th grade work

Answers

What’s the question tho

Is (x-1) a factor of 2x3 - 15x2 + 22x + 15

Answers

Answer:

Step-by-step explanation:

If x - 1 is a factor of the cubic, then 1 should result in 0 when you put it in the cubic for x. Does it?

f(1) = 2(1)^3 - 15(1)^2 + 22(1) + 15

f(1) = 2 - 15 + 22 + 15

f(1)= 24.

No the result is not zero. So x - 1 is not a factor.

However there must be something that makes this cubic go to zero. The easiest way to find it is to graph it.

The numbers that do make this zero are -0.5, 3, 5

Which mean that the factors are (2x+1)(x-3)(x - 5)

Please anyone answer this one and get it right

Answers

Answer:

300

-100

Step-by-step explanation:

-50 + -250 = -300

-300 + x = 0

x = 300

-425 + 250 + 275 = 100

-100 + x = 0

x = -100

Answer:

6.) 300 7.) -100

Step-by-step explanation:

What is the best description of the relation in Item 2?

A. a function that is one-to-one

B. a function that is many-to-one

C. a function that is one-to-many

D. a relation that is not a function

Answers

Answer:

Step-by-step explanation:

a relation that is not a function

The external and the internal radius of a cylindrical pipe of length 50 cm are 3 cm and 2.6cm respectively. find the volume of material contained by the pipe​

Answers

Answer:351.86 cc( approximately)

Step-by-step explanation:

The volume of the material = External volume - internal volume

= π3^2×50-π 2.6^2×50

=351.86

The volume of the material by the pipe is 351.86 cc.

What is the volume of a cylinder?

The volume of a cylinder is equal to the product of the area of the circular base and the height of a cylinder. The volume of a cylinder is defined as the space occupied by the cylinder as the volume of any three-dimensional shape is the space occupied by it

V = πr²h

where 'r' is the radius of the base (circle) of the cylinder

'h' is the height of the cylinder

Given that the external and the internal radius of a cylindrical pipe are 3 cm and 2.6cm respectively

The length of the pipe is 50 cm

External volume = π(3)²×50 = 1413.71 cc

internal volume = π (2.6)²×50 = 1061.85

The volume of the material = External volume - Internal volume

The volume of the material = 1413.71 - 1061.85

The volume of the material = 351.86 cc

Learn more about the volume of cylinder here :

brainly.com/question/16134180

#SPJ2

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