A cyclist travels 4 miles in 20 minutes and then a further 6 miles in 30 minutes without stopping. Calculate the cyclist's average speed in mph.​

Answers

Answer 1

Answer:

24mph

Step-by-step explanation:

convert 20 mins and 30 mins to hrs by dividing by 60

4/(20/60)=12

6/(30/60)=12

12+12=24

Answer 2

Cyclist's average speed is 12 mph.

What is Speed?

Speed is calculated as the ratio of the distance travelled by an object to the time taken to cover the distance.

It can also be defined as the rate of change of position of anything in any direction.

Speed is a scalar quantity as it does not have direction.

Total distance travelled by the cyclist = 4 miles + 6 miles

                                        = 10 miles

Total time taken by the cyclist = 20 minutes + 30 minutes

                                                  = 50 minutes

We need the average speed in mph or miles per hour.

We know that,

60 minutes = 1 hour

1 minute = 1/60 hour

50 minutes = [tex]\frac{1}{60}[/tex] × 50 hour

                   = [tex]\frac{5}{6}[/tex] hour

Average Speed = Total distance travelled / Total time taken

                          = 10 miles / (5/6) hour

                          = 10 × [tex]\frac{6}{5}[/tex]

                          = 12 miles per hour

Hence the average speed of the cyclist is 12 miles per hour.

Learn more about Speed here :

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Related Questions

Which number line and equation show how to find the distance from -2 to - 5?

Answers

Answer:

  B

Step-by-step explanation:

If you're concerned with the points -2 and -5, you would be looking for a number line with those points plotted on it. The only one is ...

  number line B

please show work

10. If the area of a parallelogram is 690.84 m2 and the height is 20.2 m, what is the length of the base?

Answers

Answer:

34.2 m

Step-by-step explanation:

We know that

Area of parallelogram = Base × Height

690.84 = B × 20.2

690.84/20.2 = B

34.2 = B

Hence,

Base of parallelogram is 34.2 m

[tex]\huge{\purple{\underline{\underline{\bf{\pink{ANSWER:-}}}}}}[/tex]

Here we've been given:

Area of parallelogram (A) = 690.84 m²

Height (H) = 20.2 m

Length of base (B) = ?

[tex]:\longrightarrow\tt{Area \: of \: parallelogram = Base \times Height} \\ \\ :\longrightarrow\tt{690.84 = B \times 20.2} \\ \\ :\longrightarrow\tt{ \frac{690.84}{20.2} = B} \\ \\ :\longrightarrow\tt{34.2 = B} \\ \\ :\longrightarrow\tt{B = 34.2 \: m}[/tex]

The length of base is 34.2m.

Evaluate this -4-12/(-4)?

Answers

Answer:

4

Step-by-step explanation:

I want help its urgent!!!

(iv), (v), (vi) Questions​

Answers

Solution:

iv) Given equation: [tex]x^{2} - y^{2} - 4x - 2y + 3[/tex]

Since we are given two variables, we need to split the original expression into two quadratic expressions as

[tex]x^{2} - 4x + 4 - y^{2} - 2y - 1[/tex]

Factoring x first:

[tex]x^{2} - 4x + 4 =[/tex] [tex]x^{2} - 2x - 2x + 4[/tex]

= [tex]x (x - 2) - 2 (x-2)[/tex]

= [tex](x-2)(x-2)[/tex]

[tex]= (x-2)^{2}[/tex]

Factoring y now:

[tex]-y^{2} - 2y - 1 = -1(y^{2} + 2y + 1)[/tex]

= [tex]-1(y^{2} + y + y + 1)[/tex]

= [tex]-1[ y(y+1) + 1(y+1)][/tex]

= [tex]-1 [(y+1)(y+1)][/tex]

= [tex](y+1)(-y-1)[/tex]

Therefore, the original expression becomes

[tex](x-2)^{2}+(y+1)(-y-1)\\or \\(x-2)(x-2) + (y+1)(-y-1)[/tex]

PLS HELP ASAP ILL GIVE BRAINLKEST PLS THANKS

Answers

Answer: y= (1/4)x

Step-by-step explanation: Best guess given screenshot, matched with desmos.

In a sale, a clothes shop reduces its prices by 30%.
A shirt usually costs $24.
How much is it in the sale?

Answers

Answer:

$16.80

Step-by-step explanation:

30% of 24 and the answer is subtracted from $24

Which statement is true about the number −5? The number −5 is not a rational number because it cannot be written as a ratio of integers. The number −5 is not rational number because it is a negative integer. The number −5 is a rational number because it can be written as the fraction −51. The number −5 is a rational number because it can be written as the fraction −50.

Answers

Answer:

The number -5 is not a rational number because it is a negative integers.

Step-by-step explanation:

Hopes This Helps :)

need help with this question please
(1/5 x 5) to the 5th power =

Answers

Answer:

1

Step-by-step explanation:

According to the rule of PEMDAS, we must perform parentheses before exponents.

1/5 x 5 = 1

1 to the power of anything is still 1, so that is the answer.

last month nick spent $50 this month he spent 60% of last month how much did nick spend

Answers

Answer:

Nick spent $30.00.

Step-by-step explanation:

60% of $50.00

60% ÷ 100 = 0.6

0.6 x 50 = 30

Answer:

30$

Step-by-step explanation:

last month nick spent $50 this month he spent 60% of last month how much did nick spend?

50 : 100 * 60 =

0.5 * 60 = 30$

She received 900 beads, and 10% of them were green. How many green beads did Liz receive?

Answers

Answer:Liz received about 90 beads that were green.Step-by-step explanation:900 x 10/100 = Total green beads=> 9 x 10 = Total green beads=> 90 = Total green beadsConclusion:

Therefore, Liz received about 90 beads that were green.

Hoped this helped.

[tex]-BrainiacUser1357-[/tex]

Answer:

90

Step-by-step explanation:

10 is 10% of 100 so then 10 times 9 = 90.

Y=-3x+1 y+5=-3(x-2) what do the following two equations represent A)The same line B)Distinct parallel lines C)Perpendicular Lines D)Intersecting, but not perpendicular lines

Answers

Answer:

C) perpendicular lines

What is 1.3742 rounded to the nearest tenth?

Answers

Answer:

1.4 that is the true answer

Step-by-step explanation:

go to the place right after the decimal and then look at the number next to it.if it is greater the 5 it goes up to 1.4 and it is

solve similar triangles (advanced)

Answers

Answer:

1

Step-by-step explanation:

They are similar triangles and ED and AD are 9 so CB and AB must be 1.

4200 in the scientific notation.​

Answers

Answer:

4.2*10^3

Hope This Helps!!!

Answer:

The answer is 4.2×10^3

Step-by-step explanation:

To convert 4200 into scientific notation, follow these steps:

- Move the decimal 3 times to left in the number so that the resulting number, m = 4.2, is greater than or equal to 1 but less than 10

- Since we moved the decimal to the left the exponent n is positive

n = 3

- Write in the scientific notation form, m × 10^n

= 4.2 × 10^3

Therefore, the decimal number 4200 written in scientific notation is 4.2 × 10^3 and it has 2 significant figures.

Read the word problem below.

Chan rows at a rate of eight miles per hour in still water. On Wednesday, it takes him three hours to row upstream from his house to the park. He rows back home, and it takes him two hours. What is the speed of the current?

Answers

Answer:

1 3/5 miles/hr

Step-by-step explanation:

Let C be the speed of the current

Let D be the distance between Chan's house and the park

We know that Distance, D, is = Speed x Time

-----

Chan's speed going upstream is (8 - C)mph.

That gives us:

D = (8-C)(3 hr)

Chan's speed going downstream is (8+C)mph

So we have:

D = (8+C)(2 hr)

We know that the d is the same for these two equations, so:

(8-C)(3 hr)  = (8+C)(2 hr)

24 - 3C = 16 + 2C

5C = 8

C = (8/5) or 1 3/5 mph

Answer:

  1.6 mph

Step-by-step explanation:

Distance, speed, and time are related by ...

  distance = speed × time

We assume that the distances up and back are the same, so for a current speed of c, we have ...

  3(8 -c) = 2(8 +c)

  24 -3c = 16 +2c . . . eliminate parentheses

  8 = 5c . . . . . . . . . . add 3c-16 to both sides

  c = 8/5 = 1.6 . . . . . divide by 5

The speed of the current is 1.6 miles per hour.

HEYY CAN U HELP PLS NO WRONG ANSWERRS
Part C
For similar triangles, the side lengths are proportional. So, you can write a proportion relating the two pairs of vertical and horizontal side lengths. For the line y = 2x, a triangle can be drawn 2 units up and 1 unit right from the origin.
Part F
Solve the equation from Part C so that y is by itself on one side of the equation. How are this equation and the equation of the line related? What does this relationship mean about any triangle created using this line?
this is part C

Answers

Answer:

y       t

_  = _

2     1

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

The corresponding vertical sides are y and 2

The corresponding horizontal lines are x and 1

so

The proportion is equal to

Solve the system of equations.
4х – 3y = 12
3х + 6у = 42

Answers

the answer would be B) 6, 4

mark me brianliest if i was correct!

Answer: B. (6,4)

Find x for the 2nd equation

3x + 6y = 42

3x = 42-6y

x= (42-6y) / 3

Place the value of x in the first equation and find for y then.

4x - 3y= 12

4{(42-6y)/3} - 3y = 12

So the answer for y is 4

Now, you know the value of y is 4.

4x - 3*4 = 12

4x - 12 = 12

x= 12+12 /4

x= 6

So x is 6 and y is 4. So the answer is B.

what is the term to term rule for 2 6 18 54 162

Answers

The rule is 3x. The numbers are multiplied by 3 each time.

Answer:

It's always × by 3

Step-by-step explanation:

2×3=6

6×3=18

18×3=54

54×3=162

HELP ME PLEASE..!!!!!! Thank youuuuuu…

Answers

Answer:

22

Step-by-step explanation:

2x+x-2=2x+9

3x-2=2x+9

x-2=9

x=11

MN=2x

MN=2(11)

MN=22

esterday 5% of the 120 sixth graders at school were late. How many sixth graders were late?

Answers

Answer:6 six graders were late. 10% would be 12, and half of that is 6. You need to divide that in half because 5 is half of 10.

Answer:

6 sixth graders at school where late

Step-by-step explanation:

5% = 0.05

0.05(120) = 6

frEE po ints

Lets say you own a ferret store and you have 20,female ferrets worth $400 and 2, male ferrets worth 350 dollar ferrets. you sell 1male ferret and 8 female ferrets how much money do you get from the sellings?
pt.b
your store gets robbed and you loose 800 dollars worth of female ferrets and 350bucks worth of male ferrets how many ferrets do you have in still have in toatal?

Answers

Answer:

Part A, 3550$

Part B, Ten female ferrets left

Step-by-step explanation:

45 + 30 = 100 - w
Answer correctly luvs

Answers

Answer:

the answer is 25

Step-by-step explanation:

45+30=100-w

then your going to subtract 45 on both sides. So 100-45 is 55.

so now your equation looks like this

30 = 55 - w

subtract 55 on both sides so you will have -25 = -w. Then your going to divide -w on both sides and you will have positive 25

i hope thus helps

15 more than the quotient of a number x and 12.

Answers

Answer:

(x/12)+15

Step-by-step explanation:

given:f(x)=3x-5,find f(x+2)

Answers

ans=3x+1

Step by step solution

=3(x+2)-5

=3x+6-5

=3x+1

PLEASE NO LINKS AND NO NEGATIVITY

Answers

A=32x-8

A=L*W
L=8x-2
W=4
A=(8x-2)(4)
A=32x-8

help please..
Select the correct image.
Given triangle A in the coordinate plane, which image shows a dilation of triangle A by a factor of 2 centered at the origin?

Answers

Answer:

C

Step-by-step explanation:

C because each point is twice as far from the origin

Answer:

c

Step-by-step explanation:

KEEP GETTING BOTTED! Work out. the area of a circle of radius 7cm. Give your answer in terms of pi
Step-By-Step would be appreciated!

Answers

Answer:

49π cm²

Step-by-step explanation:

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

[tex]A=\pi (7)^2[/tex]

[tex]A=49\pi[/tex]

Therefore, the area of a circle of radius 7 is 49π cm²

Hello there! :-)

The formula for calculating the area of a circle is

A=πr²

A=π(7)²

Notice that only the radius is squared.

A=π(49)

A=154 cm

Hope this helps!

Use the comment section to clarify your doubts.

Answered by

~A teen who helps others with joy and listens to her favourite music

#LetItSnow

Good luck with your studies. :-)

If
f (x) = -3x + 15
find:
f (x)
-6

Answers

Answer:

33

Step-by-step explanation:

f(-6) = -3(-6) + 15

       = 18 + 15

       = 33

A ___ equation is a second-degree equation of the form ax^2+bx+c=0 where a ≠ 0​

Answers

Answer:

A quadratic equation is second degree equation with the standard form ax^2+bx+c=0 as the highest power is 2.

__________________.

PLEASE HELP ME WITH THIS I WILL MARK BRAIINLIST!!

Answers

Answer:

10

Step-by-step explanation:

First solve for x. HI = 2x, IJ = 4x - 10, and the whole length HJ = 4x.

So 2x + 4x - 10 = 4x.

6x - 10 = 4x

6x - 4x - 10 = 4x - 4x

2x - 10 = 0

2x - 10 + 10 = 0 + 10

2x = 10

x = 5.

IJ is 4x - 10, so it becomes 4(5) - 10

20 - 10 = 10

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