a cyclist rides his bike at a rate of 10 miles per hour. what is this rate in kilometers per hour? how many kilometers will the cyclist travel in 4 hours? in your computations assume that 1 mile is equal to 1.6 kilometers. DO NOT ROUND YOUR ANSWER

Answers

Answer 1

Answer:

64

Step-by-step explanation:

speed of cyclist = 10 miles per hour

given 1 mile is equal to 1.6 kilometres.

1*10 miles will be equal to 1.6*10 kilometres

thus , 10 mile is equal to 16 kilometres

using 16 km in place of 10 miles in 10 miles per hour

we have

speed of cyclist = 16 kilometres per hour

we know that distance = speed * time

speed is 16 kilometres per hour

time 4 hours

thus , distance = 16*4 kilometres= 64 kilometres.

cyclist will travel 64 kilometres in 4 hours.


Related Questions

PLEASE HELP! ITS DUE TODAAY!

Answers

Answer:

center

Step-by-step explanation:

Can I have a thanks, 5 star, brainliest and tell me if right?

Answer:

The answer is option b

Center.

Gus has a checking account balance of $75. His bank will fund the a debit card purchase that creates a negative balance up to a limit of $200, but charges a $35 fee per transaction for any purchase made in overdraft. Gus made a purchase of $100 yesterday, and another purchase of $27 today. He used a debit card for each purchase. Then, he deposited a check for $25. What is Gus' current account balance?

Answers

Answer:

Step-by-step explanation:

Starting off we have this information:

Gus has $75 (g = 75).

He can withdraw up to 200 dollars more than he has.

This is the tricky part: when they say "Made in overdraft" it can mean two things. 1. Any transaction made while already in overdraft, or 2. Any transaction made that puts him into over draft. I will provide answers for both.

Anyway, every time he purchases while in overdraft, he loses another $35.

He spends a total of $127 before overdraft fees.

He then gains $25 dollars.

So, for the first interpretation:

75-100-(27+35)+25 = $-62

For the second interpretation:

75-(100+35)-(27+35)+25 = $-97

Hope this helped.

Please help me with 3 more questions ill give good ratings please!

Answers

Answer:

(- 5, - 25 )

Step-by-step explanation:

Since the dilatation is centred at the origin, multiply the original coordinates by the scale factor, that is

(- 1, - 5 ) → (5(- 1), 5(- 5)) → (- 5, - 25 )

x^3/x^1/6=x^a value of a in simplest form?

Answers

Answer: a = 17/6

Step-by-step explanation:

I will use two laws of indices to solve this question

1. x^a / x^b = x^(a-b)

2. x^a = x^b, => a = b

Using both laws

x³/x^1/6 = x^a

x^(3-1/6) = x^a

3 - 1/6 = a

a = 3 - 1/6

a = (18 - 1)/6 using LCM

a = 17/6

Find the area of the polygon

Answers

Answer:

154 square units

Step-by-step explanation:

To find the area of a trapezoid, we need to:  [tex](a+b)\frac{h}{2}[/tex] , a and b being 17 and 5 in this case. h is 14. Substitute the variables and there you have it!

Somebody please help me thank

Answers

Answer:

Step-by-step explanation:

[tex]5.003*10^{9}=5,003,000,000[/tex]

5.003* 10⁹ < 5,083,000,000

5.003 x10^9 < 5,083,000,000 x10^-1

Kevin says these number lines show 7/8 is equivalent to 4/5. Is Kevin correct?

Answers

Yes, Kevin is correct

What's the largest eight-digit base 2 integer? Express your answer in base 10.

Answers

Answer:

[tex]11111111_{2} =255_{10}[/tex]

Step-by-step explanation:

The largest eight-digit base 2 integer is 11111111.

[tex]\begin{array}{rcr}1\times 2^{7} & = & 128\\1\times 2^{6} & = & 64\\1\times 2^{5} & = & 32\\1\times 2^{4} & = & 16\\1\times 2^{3} & = & 8\\1\times 2^{2} & = & 4\\1\times 2^{1} & = & 2\\1\times 2^{0} & = & 1\\\mathbf{11111111_{2}} & = & \mathbf{255_{10}}\\\end{array}[/tex]

Answer:1111111

Step-by-step explanation:

The largest eight-digit base 2 integer is 11111111

Are these rates equivalent?
25 minutes for 3$
1 hour for 6$

Answers

Answer:

no

Step-by-step explanation:

25 minutes for $3 ends up being $7.20 for 1 hour which is greater than 6.

Answer:

no

Step-by-step explanation:

We can use ratios to see if they are equivalent

25 minutes        60 minutes

---------------- = -------------------

3 dollars           6 dollars

Using cross products

25*6 = 3 * 60

150 = 180

This is not true so they are not equivalent

a car runs 20mph how much does it travel in 1 hour

Answers

the answer is in the question itself... so since it says 20 miles per hour that’s the distance it covers per hour. the answer would be it travels 20 miles in an hour
20mph because it says in the question that it already runs 20 mph

Nathan is facing west. He takes a quarter-turn anticlockwise. What direction is he now facing?

Answers

Nathan is facing West and when he takes a quarter-turn anticlockwise, then he will be facing South.

A quarter-turn anticlockwise

A quarter-turn anticlockwise means turning [tex]90^{\circ}[/tex] toward the left side.

How to find the direction?

Suppose a circle where Nathan is facing West.

Now when he takes a quarter-turn anticlockwise means [tex]90^{\circ}[/tex] toward the left side, he would end up facing South.

So, the direction in which he is facing is South.

Learn more about anticlockwise here-https://brainly.com/question/16610588

#SPJ2

D= 90* AC=17 cm AD=10 cm CD=?cm

please in need help in this

Answers

Answer:

Step-by-step explanation:Idon't say u must have ro mark my ans as brainliest but if u think it has really helped u plz don't forget to thank me....

Answer:

CD=

[tex] \sqrt{189} [/tex]

Step-by-step explanation:

using phaythagorous theorem

CD^2+10^2=17^2

CD^2= 17^2-10^2

CD^2=289-100

CD^2=189

CD=

[tex] \sqrt{189} [/tex]

Find the value of x in the triangle shown below.

Answers

Answer:

58

Step-by-step explanation:

since the triangle has two sides of the same length (6.2cm), this means that it is a isosceles triangle, and that also means that the two angles at the base are the same (both will be 61 degrees)

then just use 180 minus the two angles and you will get x

A carnival ride is in the shape of a wheel with the radius of 30 feet. The wheel has 30 cars attached to the center of the wheel. What is the central angle, arc length, and area of sector between any two cars? Round answers to the nearest hundredth if applicable. You must show all work and calculations to receive full credit.

Answers

Answer:

α = 12°

L = 6.28 ft

[tex]A = 94.25 ft^2[/tex]

Step-by-step explanation:

The wheel contains 30 cars attached to it.

The wheel is in the shape of a circle and a circle has 360°.

Therefore, the angle between any two cars will be:

360 / 30 = 12°

The length of the arc between two cars is given as:

[tex]L = \frac{\alpha }{360} * 2\pi R[/tex]

where α = central angle of sector

R = radius of circle

Given that the radius of the wheel is 30 feet, the length of the arc is:

[tex]L = \frac{12}{360} * 2 * \pi * 30\\\\L = 6.28 ft[/tex]

The area of a sector is given by:

[tex]A = \frac{\alpha }{360} * \pi R^2[/tex]

Therefore, the area of the sector between any two cars is:

[tex]A = \frac{12}{360} * \pi * 30^2\\\\A = 94.25 ft^2[/tex]

The average cost of a movie ticket is $7.50. If this price increases annually by 7 percent, how much would a movie ticket cost in 9 years?

Answers

Answer: After 9 years, the ticket will be $13.79

Answer:

$13.79

Step-by-step explanation:

FV = PV(1+r/100)^9

A =7.50 (1+ [7/100]) ^9

A = $13.79 per ticket

Which pair of numbers is relatively prime?

Answers

Answer:

relatively prime. Two integers are relatively prime (or coprime) if there is no integer greater than one that divides them both (that is, their greatest common divisor is one). For example, 12 and 13 are relatively prime, but 12 and 14 are not.

Step-by-step explanation:

Answer:

Two integers

Step-by-step explanation:

Two integers are relatively prime.

13. Nine less than a number is no more than 8 and is no less than 3.

Answers

Step-by-step explanation:

I think we can choose the number 5 so

9 - 5 = 4 no more than 8 and less than 3

Answer:

[tex]&#x \in [12, 17][/tex]

Step-by-step explanation:

[tex]3 \leq x-9 \leq 8 \\ \\&#3 \leq x-9 \\&#10;3+9 \leq x \\&#12 \leq x[/tex]

[tex]&#x-9 \leq 8 \\&#x \leq 8+9 \\&#x \leq 17 \\&#12 \leq x \leq 17[/tex]

[tex]&#x \in [12, 17][/tex]

question in attachment

Answers

Answer:

The range within 1 standard deviation :155.12 ,328.38

Step-by-step explanation:

Data: 338+160+210+180+166+272+128+409+240+250+160+300+340+200+194+132+202+180+420+380+325+185+233+198

[tex]Mean = \frac{\text{Sum of all observations}}{\text{No. of observations}}[/tex]

[tex]Mean =\frac{338+160+210+180+166+272+.........+233+198}{24}[/tex]

Mean =241.75

[tex]\text{Standard deviation} = \sqrt{\frac{\sum(x-\bar{x})^2}{n-1}}[/tex]

Standard deviation = [tex]\sqrt{\frac{(338-241.75)^{2}+(160-241.75)^{2}+......+(185-241.75)^{2}+(233-241.75)^{2}+(198-241.75)^{2}}{24-1}}[/tex]

Standard deviation =86.63

Range within 1 standard deviation :[tex](\mu-\sigma,\mu+\sigma)[/tex]

Range within 1 standard deviation :(241.75-86.63,241.75+86.63)

Range within 1 standard deviation :155.12 ,328.38

Hence The range within 1 standard deviation :155.12 ,328.38

find the slope of the line that passses thruogh 6,10 and 4,5

Answers

Answer:

2.5

Step-by-step explanation:

In the pic below

A pair of equations is shown below: y = 6x − 4 y = 5x − 3 Part A: In your own words, explain how you can solve the pair of equations graphically. Write the slope and y-intercept for each equation that you will plot on the graph to solve the equations. (6 points) Part B: What is the solution to the pair of equations? (4 points)

Answers

Answer:

see below

Step-by-step explanation:

A  Since both equations are in slope intercept form, we can plot  the y intercept for each equation and the use the slope to draw lines.  The see where the lines intersect.

y = 6x − 4  slope is 6 , y intercept is (0,-4)

y = 5x − 3   slope is 5  y intercept is (0,-3)

They intersect at (1,2)

Answer:

Part A: solve by graphing the 2 equations and finding the places they intersect, those points will be the solutions. The slope for the first equation is 6 and the slope of the second equation is 5.

Part B: The solution is x=1, or (1, 2)

Step-by-step explanation:

Part A: The solution of a pair of equations can be found graphically by graphing them and finding the intersection point, because that is when they are equal.

To find the slope, it is the coefficient of the x in the equation, so 6 and 5.

Part B: Set the equations equal to each other

(6x-4)=(5x-3)

x-4= -3

x=1

Determine the value of x in the figure. answers: A) x = 90 B) x = 40 C) x = 45 D) x = 135

Answers

Answer:

Please mark be brainliest and I hoped this helped!

x = 45°

Step-by-step explanation:

Since this is an isosceles triangle, that means that x, and the angle opposite from x, are the same. We take 135° and subtract that from 180°. That gives us 45°. Since the angle opposing x is 45°, then x is 45° as well.

Answer:

Step-by-step explanation:

j

explain the triangle angle sum property

Answers

Answer: explanation below

Explanation: The triangle sum property states that a triangle’s angles always add up to 180 degrees. Whether or not the triangle is acute, obtuse, or right, all of its three angles always add up to 180 degrees.

Answer:

The Triangle Sum Theorem states that the three interior angles of any triangle add up to 180 degrees.

Step-by-step explanation:

Can someone help me on this? I really need help badly.

Answers

Answer:

To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem. Here is what it means: Perimeter = the sum of the lengths of all the sides. Apothem = a segment that joins the polygon's center to the midpoint of any side that is perpendicular to that side.

Step-by-step explanation:

To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem. Here is what it means: Perimeter = the sum of the lengths of all the sides. Apothem = a segment that joins the polygon's center to the midpoint of any side that is perpendicular to that side.

I will give brainliest answer

Answers

Answer:

The answer would be 12.571428571 units or 12.57units.

-5/6+2/6=
What is the answer to this?

Answers

Step-by-step explanation:

Since they have a common denominator the answer is (-5 + 2) / 6 = -3 / 6 = -1/2.

Answer:

-1/2

Step-by-step explanation:

2/6-5/6=

(-(5-2))/6=

-3/6:

-3/3=-1

6/3=2

-3/6=-1/2

quesnon
11. What's the circumference of a circle with a radius of 7 in? Round your answer to the nearest inch.
id
O A. 41 in.
B. 14 in.
C. 44 in.
D. 21 in.

Answers

Answer:

C. 44 in.

Step-by-step explanation:

[tex] = 2 \times \pi \times r \\ = 2 \times \frac{22}{7} \times 7 \\ = 44 \: in[/tex]

The function h(x) is a translation of the exponential function g(x) = 2(3)* - 4. What's
h(x) if the translation is a vertical stretch by a factor of 2, a vertical shift upward 9
units, and a horizontal shift to the right 7 units?

Answers

Answer: The correct answer is A

Step-by-step explanation:

The function h(x) is a translation of the exponential function,

[tex]g(x) = 2(3)^{x-4}[/tex] is  [tex]h(x) = 4(3)^{x-7} - 9\\\\[/tex].

Given that,

The function h(x) is a translation of the exponential function,

[tex]g(x) = 2(3)^{x-4}[/tex]

We have to determine,

What's  h(x) if the translation is a vertical stretch by a factor of 2, a vertical shift upward 9 units, and a horizontal shift to the right 7 units?

According to the question,

Exponential function; [tex]g(x) = 2(3)^{x-4}[/tex]

To find the translation in h(x) following all the steps given below.

Step1; The function h(x) is vertically stretched by 2.

                   [tex]h(x) = 2(2(3)^{x-4} )\\\\h(x) = 4(3)^{x-4}[/tex]

Step2; Vertically shift upward by 9,

                    [tex]h(x) = 4(3)^{x-4} \\\\h(x) = 4(3)^{x-4} - 9[/tex]

Step3; And a horizontal shift to the right 7 units,

                    [tex]h(x) = 4(3)^{x-7} - 9\\\\[/tex]

Hence, The function h(x) is a translation of the exponential function,

[tex]g(x) = 2(3)^{x-4}[/tex] is  [tex]h(x) = 4(3)^{x-7} - 9\\\\[/tex].

To know more about Function click the link given below.

https://brainly.com/question/14418346

In "The Gift of the Magi," O. Henry most likely uses the irony of the couple’s gifts to express the theme thatWhat number should be added to both sides of the equation to complete the square? x2 – 10x = 7

Answers

Answer:

Step-by-step explanation:

To complete the square, divide that 10 in the 10x by 2, then square that answer.

10/2 = 5

5^2 = 25

Add 25 to both sides

Carrie and Kenny both play soccer. Kenny scored 3 times as many goals as Carrie. Together they scored 12 goals. Could Carrie have scored 2 goals? Why or why not? Yes, because 2 goals is less than the total number of goals scored. No, because 3(2) + 2 ≠ 12. Yes, because 2 goals is less than the number of goals Kenny scored. No, because 3(2) ≠ 12.

Answers

Answer:

no

Step-by-step explanation:

Answer:     I thinks its D if im wrong sorry

Step-by-step explanation:

Does (3, –8) make the equation y = –x + –5 true?

Answers

Answer:

true

Step-by-step explanation:

y = –x + –5

Substitute the point into the equation

-8 = -3 + -5

-8 = -8

This is true so the point is a solution to the equation

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