The shortest route from London to Edinburgh is 400 miles.
A lorry is expected to take 10 hours to travel this route.
The lorry actually travels by a different route which increases the distance by 15%, but it still arrives in 10 hours.
By how many more mph than the expected speed does the lorry travel?

Answers

Answer 1

Answer:

if it takes the lorry ten hours we divide 400 by 10

40 mph

if it takes 15% longer that means it will take

10*1.15=11.5

if we divide 400 by 11.5

we get 34.7826086957

or 34.8

so the lorry travels 5.2 mph faster then the expected speed

Hope This Helps!!!


Related Questions

Kenneth did of 1/3 of his laundry on Sunday and 7/15 of his laundry on monday. what fraction of laundry did kenneth do in total?



Answers

1/3 + 7/15 =

4/5


Therefore the answer is 4/5. So Kenneth did 4/5 of his laundry in total.


Hope this helps!
So first find a common denominator.
It is 15. 1/3 turns into 5/15, because
3x5 = 15 & 5x1 = 5
There equaling 5/15
5/15 + 7/15 = 12/15
Both are divisible by 3
3 goes into 12, 4 times
3 goes into 15, 5 times
Giving you the final answer of 4/5

if 4,1,2 in middle is 21
if 2,1,4 in middle is 16
then 1,4,2 what is number in middle?

Answers

Answer:

5

Step-by-step explanation:

21-16=5

hope it helps!!

is this an Olympiad qn?

What is the slope of the line?​

Answers

Answer:

3/1

Step-by-step explanation:

Answer:

[tex]-3[/tex]

Step-by-step explanation:

The slope of the line is -3 because to get to one point from another point, you would need to go down 3 and right 1 which is -3/1, and that is also just -3

Hope this helps



Linda is doing car wash with her teammates to collect money for their trip. They can

get $12 for the car that they wash. In order to start their work, they spent $155 to buy

supplies needed for the work.

Part A:

Create a function f(c) to represent the profit that they make for washing c cars.

f(c) =

(b)

Part B:

Use the function rule that you created on Part A to find the value of f '(145)

f-? (145)

Answers

9514 1404 393

Answer:

  (a) f(c) = 12c -155

  (b) f⁻¹(145) = 25

Step-by-step explanation:

(a) Profit is the difference between revenue (12c) and cost (155). The profit function is ...

  f(c) = 12c -155

__

(b) The number of cars Linda's team must wash to achieve a profit of $145 is found from ...

  145 = 12c -155

  300 = 12c . . . . . . add 155

  25 = c . . . . . . . . . divide by 12

  f⁻¹(145) = 25 . . . . the team must wash 25 cars for a profit of $145

Choose the correct Set-builder form for the following set written in Roster form: { − 2 , − 1 , 0 , 1 , 2 }

Answers

Step-by-step explanation:

{x:x is an integer where x>-3 and x<3}

−12 as a ratio of two integers.

Answers

Answer:

-12 can be written as the ratio of -24 and 2, for example.

Step-by-step explanation:

Ratio of a to b:

The ratio of a to b is given by the division of a by b, that is:

[tex]r = \frac{a}{b}[/tex]

−12 as a ratio of two integers.

Here, we want any division in which the result is -12. One example is:

[tex]-12 = \frac{-24}{2}[/tex]

-12 can be written as the ratio of -24 and 2, for example.

Solve the equation 2x2 + x - 41 =
- 15 to the nearest tenth.
I neeeddd
HEEEELPPPP

Answers

Answer: 22

Step-by-step explanation: 2x2 + x -41= -15

* 4 + x -41= -15

* x -37= -15

* x= 22

2 x 2 + x - 41 = -15

• carry over -15
2 x 2 + x - 41 + 15 = 0

• solve 2 x 2
4 + x - 41 + 15 = 0

• rearrange
x + 4 - 41 + 15 = 0

• solve
x - 22 = 0
x = 22

hope this helped :)

The graph of the function f(x) = 4 over 5 square root x is shown. What is the domain of the function?

Answers

Answer:

all real numbers greater than or equal to 0

Step-by-step explanation:

The domain of the function is whatever the input (in this case, x) can be. As you cannot take the square root of a negative number, x cannot be negative. Because you can take the square root of 0 (which is 0), x can be anything postive or 0, meaning anything greather than or equal to 0. The domain is all real numbers greater than or equal to 0.

The function h(x) is a transformation of the square root parent function,
f(x) = V2. What function is h(x)?

Answers

Answer:

[tex]h(x) = \sqrt{x+5}[/tex], option C.

Step-by-step explanation:

The parent function is [tex]f(x) = \sqrt{x}[/tex]

Function h:

Function h is function f shifted left 5 units.

Shifting a function f a units to the left is the same as finding [tex]f(x+a)[/tex]

Thus:

[tex]h(x) = f(x+5) = \sqrt{x+5}[/tex]

The function is [tex]h(x) = \sqrt{x+5}[/tex], and thus, the correct answer is given by option C.

Answer:

          c        

Step-by-step explanation:

GIVING OUT BRAINLIEST PLUS 10 PTS

Answers

Answer:

Letter B

Step-by-step explanation:

I used a graphing calculator,

Hope this helps

Quick !
The perimeter of the rectangle below is 118 units. Find the length of side AD.

Answers

Answer:

24

Step-by-step explanation:

the perimeter is all sides added up

therefore to solve for "z"

3z + 3z + 4z + 3 + 4z + 3 = 118

simplify

14z + 6 = 118

isolate z by first subtracting 6 from both sides and then dividing by 14 for both sides

z=8

plug z into side CB as AD and CB are congruent

3(8)

=24

Evaluate the function.
f(x)=2x^2+8x
Find f(−1)
PLease help!


a:-10
b:-6
c:6
d:10

Answers

The answer is d!!!!!

Answer:b

Step-by-step explanation:

f(x) = 4x² + 3x - 2 g(x) = 6x³ - 3x²-4 Find (f +g) (x)​

Answers

Answer:

6x^3+x^2+3x-6

Step-by-step explanation:

f(x) = 4x² + 3x - 2

g(x) = 6x³ - 3x²-4

(f +g) (x)​ =4x² + 3x - 2+6x³ - 3x²-4

Combine like terms

             =6x^3+4x^2-3x^2+3x-2-4

             =6x^3+x^2+3x-6

Find the slope of the line through the points (−18,−12) and (0,8).

Answers

Answer:

9/10

Step-by-step explanation:

y2-y1÷x2-x1

-18-0/-12-8

-18/-20

9/10

Answer:10/9

Step-by-step explanation:You do y2-y1 over x^2-x^1 and you get 10/9

One kilogram equals 2.2 pounds. If a paitent weighs 79.5kg, his weight is what in pounds?

Answers

Answer:

174.9

Step-by-step explanation:

since 1 kg is 2.2 lbs

79.5 times 2.2

they weight 174.9 lbs

Answer:

174.9 pounds

Step-by-step explanation:

Create a proportion where x is his weight in pounds:

[tex]\frac{1}{2.2}[/tex] = [tex]\frac{79.5}{x}[/tex]

Cross multiply:

x = 79.5(2.2)

x = 174.9

So, his weight in pounds is 174.9 pounds

Sadie brought $28.00 to the art supply store. She bought a brush, a sketchbook, and a paint set. The brush was 1/3 as much as the sketchbook, and the sketchbook cost 1/2 the cost of the paint set. Sadie had $3.00 leftover after buying these items. What was the cost of each item?

Answers

Answer:

cost of paint set = $ 13.64

cost of sketch book = $ 6.82

cost of brush = $ 4.55

Step-by-step explanation:

Let the cost of paint set is s.

cost of sketch book = s/2

cost of brush = s/3

Money spent = $ 28 - $ 3 = $ 25

So,

s +  s/2 + s/3 = 25

6 s + 3 s + 2 s = 150

11 s = 150

s = $ 13.64

cost of paint set = $ 13.64

cost of sketch book = $ 6.82

cost of brush = $ 4.55

Expresa los siguientes números sin potencia de base 10

Answers

Answer:

no se guey..... pero gudluc

HELP ASAP

The highest Common Factor of two prime numbers is 1. *


Is that true or false???​

Answers

Answer:

True

Step-by-step explanation:

For example:

HCF of 2 and 3 is 1

Answer:

true

Also i need help with

https://brainly.com/question/24136412?answeringSource=feedPublic%2FhomePage%2F1

what is the median of 66 69 68 69 70 70.​

Answers

to answer your question above, the median is 69


PLEASE I NEED THE CORRECT ANSWER ILL GIVE BRAINLISET 100 students are interviewed to see which of biology, chemistry or physics they prefer.
22 of the students are girls. 6 of the girls like biology best.
23 of the boys prefer physics.
14 out of the 32 who prefer chemistry are girls.
What percentage of the students prefer biology?

Answers

I believe it is 140% could be wrong though percentages is not my greatest area

Find the value of
[tex]3 \frac{1}{5} \div \frac{8}{20} [/tex]


Answers

Answer:

[tex]{ \bf{3 \frac{1}{5} \div \frac{8}{20} }} \\ = \frac{16}{5} \div \frac{8}{20} \\ { \boxed{ \tt{reciprocal \: of \: \frac{8}{20} = \frac{20}{8} }}} \\ \therefore \: = \frac{16}{5} \times \frac{20}{8} \\ = \frac{320}{40} \\ { \bf{ answer : 8}} \\ \\ {\underline{\tt {\blue{becker \: jnr}}}}

[/tex]

3 1/5 must first converted into 16/5
Then, we can change the division into multiplication by changing 8/20 into it’s reciprocal, 20/8.
This gives us 16/5 * 20/8.
We can then simplify this to 2/1 * 4/1
You then multiply the two fractions to get 8/1 which is equivalent to 8.

Find the volume of a rectangular solid with the given dimensions: length 8 feet, width 17 feet, height 10 feet. What is the volume?

Answers

Answer: 1360 cubic meter

Step-by-step explanation:

Volume of solid= Length*width*height

                          =8*17*10

                          =1360  cubic meter

Can someone answer this please

Answers

Answer:

[tex]336m^2[/tex]

Step-by-step explanation:

[tex]6*8=48[/tex]

[tex]10*12=120[/tex]

[tex]8*12=96[/tex]

[tex]6*12=72[/tex]

Add all these up

[tex]48+120+96+72=336[/tex]

Hope this helps

∑_(n=1)^∞▒〖( 1/2 )〗^2n

Answers

Answer:

The series converges to [tex]\dfrac{1}{3}[/tex]

Step-by-step explanation:

It seems to be this series:

[tex]$ \sum_{n=1}^{\infty} \left(\dfrac{1}{2} \right)^{2n}$[/tex]

We have

[tex]$ \sum_{n=1}^{\infty} \left(\dfrac{1}{2} \right)^{2n} = \sum_{n=1}^{\infty} \left(\dfrac{1}{4} \right)^{n}$[/tex]

Using the Root test we can see that this series converges once

[tex]$ \lim_{n \to \infty} \sqrt[n]{|a_n|} < 1 \implies \sum_{n=1}^{\infty} a_n \text{ is convergent}$[/tex]

Then, [tex]$\lim_{n \to \infty} \sqrt[n]{\left(\dfrac{1}{4} \right)^{n}} = \lim_{n \to \infty} \dfrac{1}{4} = \dfrac{1}{4} < 1$[/tex]

The series is convergent.

Once the series is geometric, the first term is [tex]\dfrac{1}{4}[/tex] and the ratio is also [tex]\dfrac{1}{4}[/tex] in this case.

The sum of infinite geometric series is [tex]S = \dfrac{a_1}{1-r}[/tex] such that [tex]r < 1[/tex]

[tex]\therefore S = \dfrac{\frac{1}{4} }{1-\frac{1}{4}} = \dfrac{1}{3}[/tex]

Rachel is driving to visit her mother, who lives 250 miles away. How long will the
drive be, round-trip, if Rachel drives at an
average speed of 40 mph?

Answers

Answer:

Time for a round trip = 12.5 hours

Step-by-step explanation:

Mother's house = 250 miles

Total distance for the round trip = 250 + 250 = 500 miles

Given speed = 40 mph

Find time .

[tex]Speed = \frac{distance }{Time }\\\\Time = \frac{distance }{speed } = \frac{500}{40} \\\\Time = 12.5 \ hours[/tex]

About 12.5 hours (hope this helps sorry if I’m wrong)

(x-2)(-5x^2+x)=(x)(-5x^2)+(x)(x)+(-2)(-5x^2)+(-2)(x) is an exsample of

Answers

this is an example of linear equations is one variable

Consider the following sample data: x 12 18 20 22 25 y 15 20 25 22 27 Click here for the Excel Data File a. Calculate the covariance between the variables. (Round your intermediate calculations to 4 decimal places and final answer to 2 decimal places.)

Answers

Answer:

The covariance between the variables is 21.10 and the Correlation coefficient is 0.9285.

Step-by-step explanation:

Hence,

Which angels are corresponding angles? Check all that apply

Answers

Answer:

Only A and B.

Step-by-step explanation:

Corresponding angles are angles in the same position and are the same size. The others are wrong as they are not the same sizes or are not the same

HELP QUICK! WILL GIVE BRAINLIEST ANSWER!!

Answers

Answer:

x = 22 degree

Step-by-step explanation:

40 + 5x + 30 = 180 degree (being linear pair)

5x + 70 = 180

5x = 180 - 70

x = 110/5

x = 22 degree

How much would the combined production of pineapples increase for the two islands due to trade? How much would the combined production of pearls increase?

Answers

Step-by-step explanation:

find the coordinate of the foot of the perpendicular from(4,-2) to the line 2x-3y-4=0

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