Raj takes a taxi to the airport. He expects the taxi to travel at an average speed of 40 mph. The distance from Raj's house to the airport is 30 miles. If Raj's taxi actually travels at an average speed of 30 mph, how many more minutes does the journey take than expected?

Answers

Answer 1

Answer:

15 minutes more, as 60-45mins = 15 minutes

Step-by-step explanation:hope it helps

Answer 2

It will take 15 more minutes for the journey than the expected.

What is Speed?

Speed is the unit rate in terms of distance travelled by an object and the time taken to travel the distance.

Speed is a scalar quantity as it only has magnitude and no direction.

Given that,

The distance from Raj's house to the airport is 30 miles.

He expects the taxi to travel at an average speed of 40 mph.

If he travels at a speed of 40 mph, let t be the time taken.

Speed = Distance / Time

40 = 30 / t

t =  = 0.75 hours = 45 minutes

If Raj's taxi actually travels at an average speed of 30 mph, let t' be the time taken.

30 = 30 / t'

t' = 1 hour = 60 minutes.

t' - t = 60 - 45 = 15 minutes

Hence the journey takes 15 more minutes than expected.

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Related Questions

The table below shows the weekly change in the price of one gram of gold for four weeks.

By how much did the price of one gram of gold change from the beginning of week 1 to the end of week 4?

Answers

Answer:

I mean it changed by .25

Step-by-step explanation:

Im not sure if youre asking for the median or the price difference?

A rectangular bathtub has a depth of 24 in., a width of 24 in., and a length of 60 in. If the tub is filled up to
3 inches below the top, how much water is in the tub?

Answers

Answer:

The amount of water is [tex]30,240in^3[/tex]

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, a rectangular prism in the form of a bathtub.

Given data

depth of bathtub= 24 in

width of bathtub= 24 in

length of bathtub= 60 in

the volume of water in the bathtub is a function of the depth of water in relation with the dimension of the bathtub.

the depth of water is 3 in below the the top

hence the depth of water (24 in- 3 in)= 21 in

the expression for the volume of water is given as

[tex]volume= length* width*depth\\volume= 60*24*21=30,240in^3[/tex]

What is the most efficient way to solve this equation?
18c = 108


Divide both sides by 18


Multiply both sides by 108.


Multiply the left side by 18.


Divide both sides by c.

Please don’t guess :(

Answers

Answer:

Divide both sides by 18

Step-by-step explanation:

This is the most efficient way to solve this equation because you can find the variable (c) in one step.

Divide both side by 18 since that’s the easy and the right way to get the answer which is 6. Hope this helps

Find f(2) and f(a + h) when f(x) = 3x^2 + 2x + 4

Answers

Answer:

[tex]f(2)=20\\f(a+h)=3a^2+6ah+3h^2+2a+2h+4[/tex]

Step-by-step explanation:

[tex]f(x)=3x^2 + 2x + 4[/tex]

[tex]f(2)=3(2)^2 + 2(2) + 4\\f(2)=3(4)+ 2(2) + 4\\f(2)=12+ 4+ 4\\f(2)=20[/tex]

[tex]f(a+h)=3(a+h)^2 + 2(a+h) + 4\\f(a+h)=3(a+h)(a+h) + 2(a+h) + 4\\f(a+h)=3a^2+3ah+3ah+3h^2+2a+2h+4\\f(a+h)=3a^2+6ah+3h^2+2a+2h+4[/tex]

Answer:

f(2) = 20

f(a+h) = 3a²+6ah+3h²+2a+2h+4

Step-by-step explanation:

f(x) = [tex]3x^2+2x+4[/tex]

A) Putting x =2

=> f(2) = 3(2)²+2(2)+4

=> f(2) = 12+4+4

=> f(2) = 20

B) Putting x = a+h

=> f(a+h) = 3(a+h)²+2(a+h)+4

=> f(a+h) = 3a²+6ah+3h²+2a+2h+4

The table represents a linear function.
What is the slope of the function?
0-6
O -4
0 4
O 6

Answers

Answer:

- 6

Step-by-step explanation:

[tex]slope = \frac{8 - 2}{ - 2 - ( - 1)} = \frac{6}{ - 2 + 1} = \frac{6}{ - 1} = - 6[/tex]

Given: Line A B intersects Line D E at point C.
Prove: AngleDCB Is-congruent-toAngleECA

Line D E intersects line B A at point C.
A 2-column table with 6 rows. Column 1 is labeled statements with the entries line A B intersects line D E at point C, angle D C B and angle B C E are a linear pair, angle D C B is supplementary to angle B C E, angle B C E and angle E C A are a linear pair, angle B C E is supplementary to angle E C A, angle D C B is-congruent-to angle E C A. Column 2 is labeled reasons with the entries given, definition of linear pair, linear pair post, definition of linear pair, question mark, congruent to supplementary theorem.
What is the missing reason in step 5?

linear pair postulate
given
definition of complementary angles
congruent complements theorem

Answers

Answer:

linear pair postulate

Step-by-step explanation:

The linear pair postulate is the missing step.

What's the meaning of a linear pair of lines?

Linear pair of angles are formed when two lines intersect each other at a single point. The angles are said to be linear if they are adjacent to each other after the intersection of the two lines.

What is a Postulate?

Postulate statement received without evidence. Axiom is any other name for postulate. for instance, if you understand that Pam is 5 feet tall and all her siblings are taller than her, don't trust her if she says that all her siblings are at the least 5 toes tall.

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Which of the following is the measure of an acute angle?
A. 126
B. 86°
C. 90°

Answers

Answer:

b

Step-by-step explanation:

an acute angle is an angle that is smaller than 90 degrees.

if the angle is exactly 90 degrees, then it is a right angle.

anything larger than 90 degrees is considered to be an obtuse angle.

Hope this helps for other questions like this as well!

Angle 86° is less than 90°. Then the angle of 86° will be an acute angle. Then the correct option is B.

What is an angle?

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.

The types of angles are as follows:

If the measure of the angle is less than 90°, then the angle is an acute angle.

If the measure of the angle is equal to 90°, then the angle is a right angle.

If the measure of the angle is greater than 90°, then the angle is an obtuse angle.

Angle 86° is less than 90°. Then the angle of 86° will be an acute angle. Then the correct option is B.

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What is the equation of the graphed line written in standard form?


A. x=-3

B. y=-3

C. x+y=-3

D. x-y=-3
I know the pictures black It's just showing a vertical line going through -3 on the x-axis (The blue line)

Answers

The answer should be A

A total of 70 tickets were sold for a concert and earn the organizers $804. If the cost of each ticket is either $10 or $12, how many tickets of each type were sold.
A. 18 tickets cost and 52 cost $12
B. 52 tickets cost $10 and 18 tickets cost $12
C. 65 tickets cost $12 and 5 tickets cost $10
D. 5 tickets cost $12 and 65 tickets cost $10

Answers

Answer: A = $804 18 tickets cost $10 and 52 cost $12

Step-by-step explanation:

A = $804 18 tickets cost $10 and 52 cost $12

B = $736

C = $830

D = $170

A Professor at a University sent his phone number in a disorderly manner to his students. The disordered phone number was 64001128454.

To know his real phone number, he gave the student the following conditions:

1. Eight (8) must come between two zeros (0's).

2.The first number after the first condition is met must not be an odd number and it must be greater than 5.

3. The seventh number must be 1.

4. The fifth and sixth numbers must be two numbers whose difference is 1 and the bigger number must come first.

5. The fifth and sixth numbers are greater than 2.

6. The ninth and tenth numbers are the same.

7. The eighth number is greater than the last number.

8. The phone number must be 11 digits.

What was the Professor's real phone number?​

Answers

Answer:

I found 608054144112

If the number isn't found by the given condition, write a variable to advance. but it is comfortable to solve if you follow them one by one

calculate 16% of £50

Answers

Do 50 x 0.16 Which is 8. 50-8 =£42.00
10% of £50= £50 divided by 10 = £5
1% of £50= 10% divided by 10 (£5 divided by 10) = 0.5 which is 50p.
50p x 6 = £3
6%=£3 and 10%=£5
£5+£3=£8 so the answer is £8

A town map has a scale of 2cm:0.5km what is the actual distance for a walk measured at 9cm on the map?

Answers

Answer: 2.25 km

Step-by-step explanation:

2 cm = 0.5 km

9 cm = (9 x 0.5)/2

= 2.25 km

Answer:

2.25 km

Step-by-step explanation:

Since 2 cm represents 0.5 km on the ground we cross multiply to find how much ground will be represented by 9 cm on the map

2cm=0.5km

9cm=?

(9cm×0.5km)÷2cm

4.5km(cm)÷2cm2.25 km

NOTE: since the cm are the same they will cancel each other out in the division stage

Two years ago ,Mr.Braxton counted 7 hickory trees in his yard. last year he counted 14 trees in his yard. this s[ring he counted 28 hickory trees.In how many years will there be 224 hickory trees?

Answers

Answer:112 years, you see a pattern of multiplying by 2, take 224 and divide it by 2 and you get 112

Step-by-step explanation:

Step-by-step explanation:

Well seeing as each year the amount of Trees Doubled (7+7=14 and 14+14=28)

We can Infer that each year afterwards it will do so.

So 1 year from now 28+28 = 56

2 years from now 56 + 56 = 112

And finally at 3 years 112+112 we arrive at our answer 224

Answer: So it would take 3 years to get to get to 224

The sum of two consecutive integers is -15. If
1 is added to the smaller integer and 2 is
subtracted from the larger integer, what is the
product of the two resulting integers?

PLEASE HELP AND EXPLAIN BECAUSE I DONT GET IT

15 POINTS

Answers

Answer:

-16

Step by Step Explanation:

-7 and -8 are consecutive integers.

-7+-8=-15

Add 1 to -7 and you get -6.

Subtract 2 from -8 and you get -10.

-10+-6=-16

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The product of the two resulting integers is 80.

What is multiplication?

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

Let the unknown integer be represented by x. Given that the sum of two consecutive integers is -15. Therefore, we can write,

x + (x+1) = -15

2x + 1 = -15

2x = -16

x = -8

Thus, the smaller integer is -9 and the larger integer is -8.

Now, If 1 is added to the smaller integer and 2 is subtracted from the larger integer.

Smaller Interger = -9 + 1 = -8

Larger Integer = -8 - 2 = -10

Further,  the product of the two resulting integers is,

Product = -8 × -10

             = 80

Hence, the product of the two resulting integers is 80.

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IS MY ANSWER CORRECT?!

-- I'm thinking it's 36 If its wrong. --

Answers

Answer:

you have the right answer

Step-by-step explanation:

you can check by multiplying 27 and 12. then multiply 20.25 with 16 and both times you will get 324

Answer:

I am sure you're answer is correct!

Step-by-step explanation:

:)

Does anyone know how to find the area ?

Answers

Answer:

To find the area of a shape, multiply the sides. Hope this helps! ;)

Answer:

YES!

Step-by-step explanation:

The simplest (and most commonly used) area calculations are for squares and rectangles. To find the area of a rectangle, multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area.

let g(x) = 2x and h(x) = x^2 + 4. Find the value. (hog)(-2)

Answers

Answer:

Step-by-step explanation:

(h o g) (-5) means the composition of the two functions, or h [ (g(-5) ].

This is, you first calculate g(-5) and then h [ g (-5) ].

So, g ( -5) = 2 * ( - 5) = - 10

And h (-10) = (-10)^2 + 4 = 100 + 4 = 104.

There are 8 students in our Math class left to give their presentations. Today
we will have time for 5 presentations. How many different ways can the
teacher choose the presenters?

OA) 56
OB) 112
OC) 168
OD) 336

Answers

Answer:

Option A. 56

Step-by-step explanation:

The question talks about chosing 5 presenters out of 8 presenter.

This can be achieved b using the following formula:

nCr = n! /r! (n–r)!

n = 8

r = 5

8C5 = 8! / 5! (8 – 5)!

8C5 = 8! / 5! 3!

8C5 = (8 x 7 x 6) / (3 x 2 x 1)

8C5 = 56

Therefore, there are 56 ways in which the teacher can chose the presenters.

Answer: Choice A

Step-by-step explanation:

Which input was substituted into the function f(x) = x to
create the given graph?
Of(x + 2.5)
Of(x - 2.5)

Answers

Answer: f(x-2.5)

Step-by-step explanation:

Only one QUESTION I NEED HELP SO BAD I WILL MOST DEFINITELY GIVE BRAINLIEST AND 30 POINTS PLEASE IT'S DUE TODAY

Answers

Answer:

We cannot have a single point of solution

Step-by-step explanation:

When the boundary lines are parallel, we can have no solution,  or infinite solutions.  We cannot have a  single point of solution

Answer:

I believe there is no single solution


y = 2x + 4
y = -x + 1

What is the solution to the system of equations?

A. (-1, 2)

B. (-1, 1)

C. (-2, 0)

D. (0, 1)

Answers

The answer is (-1 ,2)

Help I don’t understand the concept

Answers

Answer:

C. No, because one x-value corresponds to two different y-values

Step-by-step explanation:

An x-value cannot have two y-values. Hope this helps!

Answer:

c ) No because one x-value corresponds to two different y-values

Step-by-step explanation:

Every X needs to have one y value

What is the area of the deck, not including the garden, in Plan A? (Type
the numeric answer only). *

Answers

Answer:

342 ft squared

Step-by-step explanation:

You know how to find the area of a rectangle: Multiply the dimensions together (length x width).

You can also see that the garden is inside the deck, and that it is also a rectangle. Therefore, you can find the area of the deck ONLY by subtracting the area of the small rectangle from the big one.

First, find the area of the big rectangle:

18 * 25 = 450 ft squared

Now, find the area of the small one:

9 * 12 = 108 ft squared

Finally, subtract the area of the small rectangle from the area of the big one:

450 - 108 = 342 ft squared

Hope this helps! Please comment on this answer if you have any questions :)

The sides of a cube are numbered 4, 5, 6, 7, 8, and 9. What is the probability of rolling a 6?

Answers

Answer:

1/6

Step-by-step explanation:

out of 6 numbers in total there is only one 6 therefore there is only 1/6 chances

[tex]\frac{1}{6}[/tex]

Probability is a discipline of mathematics concerned with numerical explanations of the likelihood of an event occurring or the truth of a claim. The probability of an event is a number between [tex]0[/tex] and [tex]1[/tex]

Sides of a cube are numbered [tex]4,5,6,7,8,9[/tex]

Probability [tex]=[/tex] Number of possible outcomes [tex]\div[/tex] Total number of outcomes

Number of possible outcomes [tex]=1[/tex]

Total number of outcomes [tex]=6[/tex]

Probability of rolling a [tex]6=\frac{1}{6}[/tex]    

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I don’t understand this question & I need to turn this in today.

Answers

Answer:

see below

Step-by-step explanation:

The blue graphs had 2 real solutions since it crosses the x axis twice

The yellow graph has no real solutions since it does no cross the x axis

The red graph has one solutions since it touches the x axis

Ari's teacher says he may have his report grade based on either the mean or the median of his last six test scores
88%, 73%, 97%, 76%, 90%, 80%
Which measure of center would best represent Ari's grade?

Answers

Answer:

The mean

Step-by-step explanation:

Answer:

the answer is option a) the mean

Step-by-step explanation:

8.) The distance from Caleb's house to his school is 15 miles. What
is the distance in feet?
0.) 1760 feet
b.) 2640 feet
C.) 5280 feet
d.) 7920 feet​

Answers

Answer:

I think the answer would be 79200 feet as 1 miles = 5280 feet

traductor de español

¡Hola! La siguiente descripción dice que el hogar de Caleb para su escuela es de 15 millas. La pregunta pregunta cuántos pies hay en 15 millas

Respuesta: 79.200.

Razonamiento: El razonamiento para esto es que 1 milla es 5280 pies. Cuando descubras que puedes multiplicar esto por 15 obtendrás 79200

Prueba: 5280

        x 15

___________

         79200

__________________________________

English Translator

Hello! the following description says that Caleb's house to his school is 15 miles. The question asks how many feet are in 15 miles

Answer: 79200

Reasoning: The reasoning to this is that 1 mile is 5280 feet. When you find out that you can multiply this by 15 you would get 79200

Proof: 5280

        x      15

___________

         79200

Half of a number plus three
times the number.

Write it in expression or equation solve the equation

Answers

Answer:

Step-by-step explanation:

solve for x and y
help please!!

need step by step explanation.
will give the brainliest!!​

Answers

Answer:

x=4, y=10

Step-by-step explanation:

(x+2)/3= (y-2)/4= (y-x)/3

x+2= y-x ⇒ y= 2x+2(x+2)/3= (2x+2-2)/4 ⇒ (x+2)/3= x/2 ⇒ 2x+4= 3x ⇒ x=4y=2*4+2= 10

Answer:

The value of x is 2 and y is 10.

Step-by-step explanation:

First, you have to do cross multiplications of any 2 fractions :

1st equation,

[tex] \frac{x + 2}{3} = \frac{y - 2}{4} [/tex]

[tex]4(x - 3) = 3(y - 2)[/tex]

[tex]4x + 8 = 3y - 6[/tex]

2nd equation,

[tex] \frac{y - 2}{4} = \frac{y - x}{3} [/tex]

[tex]4(y - x) = 3(y - 2)[/tex]

[tex]4y - 4x = 3y - 6[/tex]

Next, you have to solve the simultaneous equation by elimination :

[tex]4x - 3y = - 14 - - - (1)[/tex]

[tex] - 4x + y = - 6 - - - (2)[/tex]

[tex](1) + (2)[/tex]

[tex]4x - 3y + ( - 4x) + y = - 14 + ( - 6)[/tex]

[tex] - 2y = - 20[/tex]

[tex]y = 10[/tex]

[tex]substitute \: y = 10 \: into \: (1)[/tex]

[tex]4x - 3(10) = - 14[/tex]

[tex]4x - 30 = - 14[/tex]

[tex]4x = - 14 + 30[/tex]

[tex]4x = 16[/tex]

[tex]x = 4[/tex]

what is the degree measure of an angle that measures 4.5 radians​

Answers

Answer:

257.8°

Step-by-step explanation:

rad × 180/π =  °

4.5*180=810

810/π=257.8

257.8 or 810:pi
It’s the radius (4.5) times 180 which equals 810 degrees
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