Mathematics High School

Olly drove 56 km from Liverpool to Manchester.

He then drove 61 km from Manchester to Sheffield.

Olly's average speed from Liverpool to Manchester was 70 km/h.

Olly took 75 minutes to drive from Manchester to Sheffield.

Work out Olly's average speed for his total drive from Liverpool to Sheffield.

Input note: give your answer correct to 1 decimal place.

give right answer brainiest! please help!

Answers

Answer 1

Answer: 57.1 km/ h

Step-by-step explanation:

First find the amount of time it took for Olly to drive from Liverpool to Manchester.

Time = Distance / Speed

= 56 / 70

= 0.8 hours

It took 75 minutes to drive from Manchester to Sheffield. In hours that it:

= 75 / 60 minutes

= 1.25 hours

Total time taken to travel from Liverpool to Sheffield is therefore:

= 0.8 + 1.25

= 2.05 hours

Distance travelled from Liverpool to Sheffield:

= Distance from Liverpool to Manchester + Distance from Manchester to Sheffield

= 56 + 61

= 117 km

Average speed for the whole journey is therefore:

= Distance / Time

= 117 / 2.05

= 57.1 km/ h

Related Questions

porfa ayuda plissss
(SINO SABES NO CONTESTES)
DOY PUNTOS

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Answer:

Step-by-step explanation:

Si cuentas desde el once hasta el espacio entre A y B llegas hasta 5. Entonces el número que está en ese espacio es 11.05

Answer:

ES LA B AMIGA

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HELP ASAP PLSSSS IM DYING

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Answer:

88°

Step-by-step explanation:

5a + 18 + 24 - a + 8a - 30 = 180 (angles on a straight line)

=> 12a + 12 = 180

=> 12a = 168

=> a = 168 / 12

=> a = 14

5a + 18 = 5 (14) + 18 = 70 + 18 = 88

24 - a = 24 - 14 = 10

8a - 30 = 8 (14) - 30 = 112 - 30 = 82

Therefore, largest angle is 88°.

Hope it helps :)

Please mark my answer as the brainliest

Each serving of food at an awards lunch costs $10.46. A total of 42 people attend the lunch.

What is the total cost for the food at awards lunch?

Enter your answer in the box.

Answers

Answer:$439.32 us$

Step-by-step explanation: $10.46 x 42

Answer:

439.32

Step-by-step explanation:

I took da test

What is the lateral surface area of the square pyramid represented by this net?

Enter your answer in the box

__ft²

Answers

Answer:

If you know the answer to this just put it down below

Step-by-step explanation:

BRAINLIEST AND 12 POINTS! ANSWER ASAP HELP!!

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Answer:

x = 3, y = 2

x = 6, y = 1

x = 9, y = 0

Step-by-step explanation:

Do the math

You'll find it's all correct

What is the equation of the line that passes through the point (2,-6) and -3/2 has a slope of ?

Answers

Answer:

y-8=2(x+2)

Step-by-step explanation:

Equation of a line is easy once you get the hang of it. State with the point slope form y-y2=m(x-x2) Simply plug in the points given to get the equation.

Please help I will give Brain!!

Answers

Answer:

x = 14.5

Step-by-step explanation:

The diagonals of a rhombus are at right angle to each other, then

∠ BOA = 90° , so

6x + 3 = 90 ( subtract 3 from both sides )

6x = 87 ( divide both sides by 6 )

x = 14.5

Which of these relations are functions? Select all that apply.

Answers

Answer:

the 1st one and the 3rd one hope that helps!

Step-by-step explanation:

Answer:

Answer C and B are the most resonable!

Step-by-step explanation:

(Grad point )What is m

Answers

Answer:

Either b or c

Answer:

5 = 10

7 = 14

9 = 18

11 = 22

13 = 26

Are Commen Relationship is 2 so the answer is above.

Step-by-step explanation:

Pls mark brainliest

c 10 14 18 22 26

b 5 7 9 11 13

i hope this helps !!

9+g+6g–3

a
n
s
w
e
r

p
l
e
a
s
e

Answers

If you are being asked to simplify, just combine like terms; such as, all the g’s and all the numbers so, your answer should look something like: 7g+6

Answer:

6+7g

Step-by-step explanation:

9+g+6g-3=9-3+g+6g=6+g+6g=6+7g

The difference between two numbers is 27. Three times the smaller is equal to 7 more than the larger. What are the numbers?

Answers

Answer:

17 and 44

Step-by-step explanation:

[X is smaller number Y is bigger number]

y-x=27 3x=7+y y-17=27

y=27+x 3x=7+27+x y=44

3x=34+x

2x=34 x=17

what is -144 ÷ 30? please help

Answers

1.46 I’m pretty sure.

-4.8 is the answer :)))))))))

Plsssssssssss helppppppp

Answers

Answer:

C. theres a 50% chance

Step-by-step explanation:

Bb, Bb, bb & bb

hope this helps <3

Answer:

Hi! Hopefully I can help you. I think that its 75% likey to get a kid with brown eyes.

Step-by-step explanation:

Hopefully this picture provides a nice explanation. I'm so sorry, punnet squares are so hard.

the ratio of two sums of money are 4:5. the first sum is $6. what is the second?

Answers

7.5
Cross multiply (4•x) and (5•6) and get 30=4x
X=7.5

The second sum of money is $7.5

The ratio of the sum is given as:

Ratio = 4 : 5

Represent the second sum of money with x.

So, we have:

4 : 5 = 6 : x

Express the ratio as a fraction

4/5 = 6/x

Make x the subject of formula

x = 6 * 5/4

Evaluate the product

x = 7.5

Hence, the second sum of money is $7.5

Answers

Answer:

you are correct

Step-by-step explanation:

A quantity with an initial value of 5300 decays exponentially at a rate of 7.5% every 4 hours. What is the value of the quantity after 465 minutes, to the nearest hundredth?

Answers

Answer:

Step-by-step explanation:

Michelle's father deposited $1,000 into a savings account when she was born. The annual interest rate is

4.5%. Since opening the account, Michelle's father has never deposited or withdrawn money from it.

What age will Michelle be when her account reaches more than $2,000?

Answers

Answer:

Michelle's age = 16

Step-by-step explanation:

As we know,

Amount = [tex]P (1 + r)^{t}[/tex] where

P = Principal amount

r = rate of interest

t = time

Given ,

P = $1000

r = 4.5 % = [tex]\frac{4.5}{100} = 0.045[/tex]

Now,

Given that Amount reaches more than $2000

⇒[tex]P (1 + r)^{t}[/tex] > 2000

⇒[tex]1000(1 + 0.045)^{t}[/tex] > 2000

⇒[tex](1.045)^{t}[/tex] > 2

Now,

we put the value of t from 0 , 1, 2, ..... untill the above equation does not satisfy

Now,

for t = 0

[tex](1.045)^{0} = 1 \ngeq 2[/tex]

for t = 1

[tex](1.045)^{1} = 1.045 \ngeq 2[/tex]

for t = 2

[tex](1.045)^{2} = 1.092 \ngeq 2[/tex]

for t = 3

[tex](1.045)^{3} = 1.14 \ngeq 2[/tex]

for t = 4

[tex](1.045)^{4} = 1.19 \ngeq 2[/tex]

for t = 5

[tex](1.045)^{5} = 1.25 \ngeq 2[/tex]

for t = 6

[tex](1.045)^{6} = 1.30 \ngeq 2[/tex]

for t = 7

[tex](1.045)^{7} = 1.36 \ngeq 2[/tex]

for t = 8

[tex](1.045)^{8} = 1.42 \ngeq 2[/tex]

for t = 9

[tex](1.045)^{9} = 1.48 \ngeq 2[/tex]

for t = 10

[tex](1.045)^{10} = 1.55 \ngeq 2[/tex]

for t = 11

[tex](1.045)^{11} = 1.62 \ngeq 2[/tex]

for t = 12

[tex](1.045)^{12} = 1.69 \ngeq 2[/tex]

for t = 13

[tex](1.045)^{13} = 1.77 \ngeq 2[/tex]

for t = 14

[tex](1.045)^{14} = 1.85 \ngeq 2[/tex]

for t = 15

[tex](1.045)^{15} = 1.93 \ngeq 2[/tex]

for t = 16

[tex](1.045)^{16} = 2.02 > 2[/tex]

It satisfies at t= 16

∴ we get

Michelle's age = 16

Answer these two to get 20 points!!

Answers

25 and 28
Hope this helps!!!

approximate the square root of 278 to the nearest tenth

Answers

Answer:

Answer should be 77280.

Step-by-step explanation:

: ' /

cual es el guarani how are you

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Answer:

Los guaraníes son un grupo de pueblos indígenas de América del Sur relacionados con la cultura. Se distinguen del tupi relacionado por su uso del idioma guaraní.

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

The Guarani are a group of indigenous peoples of South America related to culture. They are distinguished from the related Tupi by their use of the Guarani language.

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

I'm okay, how are you?

5x + 10y = -5
-5 - y = 32

Answers

y= -27
x= 53

solving for y:

-5-y=32

add y to both sides

-y = 27

divide by -1

y= -27

solving for x

plug in -27 for y in the first equation

5x +10(-27) =-5

5x+ (-270) =-5

add 270 to both sides

5x= 265

divide by 5 on both sides

x= 53

Explain why parallel lines have different y intercepts

Answers

Answer:

The lines are parallel. The slopes of the lines are the same and they have different y-intercepts, so they are not the same line and they are parallel. Two non-vertical lines are perpendicular if the slope of one is the negative reciprocal of the slope of the other.

Step-by-step explanation:

Answer:

Because Y- intercept mean the part that a graph cuts at Y - axis

Step-by-step explanation:

If parallel lines cut at the same pint then they will not be parallel

Solve the system of equations by the substitution method.
X + 8y = 21
3x + 5y = 6

The solution is .(Simplify your answer. Type and ordered pair)

Answers

Step-by-step explanation:

idek i guessed

in the diagram below, BD is parallel to XY. What is the value of x?

Answers

Answer:

A. 55

Step-by-step explanation:

Answer: A. 55

Step-by-step explanation:

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