Yoko flew on a plane from Tokyo to Sydney. The plane flew a distance of 7800 km. The flight time was 9 hours 45 minutes. Work out the average speed of the plane in kilometres per hour.

Answers

Answer 1

Answer:

The average speed is 800 km/h

Step-by-step explanation:

The first thing to do here is to completely write the speed in hours.

We have 9 hours 45 minutes

45 minutes in hours is 45/60 = 3/4 = 0.75

So 9 hours 45 minutes = 9.75 hours

The average speed mathematically = Total distance/ Total time

That would be;

7800/9.75 = 800 km/h


Related Questions

write the coordinate point for the vertex of this parabola x=-1/8y^2

Answers

Answer:

(0,0)

Step-by-step explanation:

x = -⅛y²

The equation exchanges x and y, so this is a sideways parabola.

It opens to the left because the coefficient of y² is negative.

The vertex form of a sideways parabola with its vertex at (h, k) is:

x =  a(y – k)² + h

Your equation is

x = -⅛(y - 0)² + 0

By comparing the two equations, we find that

h = 0; k = 0.

The vertex is at (0, 0).  

The Figure shows your parabola with its vertex at (0,0).

Answer:

(0,0)

Step-by-step explanation:

help Find (f + g)(x)
f(x) = 6x2 + 3x + 1
g(x) = 2x2 - 9

Answers

[tex]\text{Solve:}\\\\(f + g)(x)\\\\6x^2+3x+1+2x^2-9\\\\8x^2+3x+1-9\\\\\boxed{8x^2+3x-8}[/tex]

If a vehicle travels 25x miles in 2 hours, what is the vehicle's average speed, in miles per hour.

Answers

Given that a vehicle travels 25 miles in 2 hours, determine the average speed of the vehicle in miles per hour.

Work:

In order to find the average mph of the vehicle, you have to divide the distance the vehicle travels in a certain period of time by that amount of time.

So, in this case, the vehicle traveled 25 miles in 2 hours, so you would divide 25 by 2.

25/2 = 12.5

That means, the vehicle is traveling at a speed of 12.5 mph.

Thus, the average speed of the vehicle is 12.5 miles per hour (mph).

Write an equation in point-slope form for each line (If possible please show work)

Answers

Answer: y-2=1/4(x-1)

Step-by-step explanation:

The formula for point-slope is y-y₁=m(x-x₁). Since we are given the slope m, we can fill that in. We are also given the point (x₁,y₁). We can also fill that in.

y-2=1/4(x-1)

One sprinter has a stride of 120cm, another 75cm. How many steps do they each take if they run a 100m race?

Answers

Answer:

1m = 100 cm

First sprinter stride is 120 cm. Steps he will take

= 100/1.2 = 83 1/3 steps

Second sprinter takes a stride of 75 cm

= 100/0.75 = 133 1/3 steps

Plz help ASAP I WILL GIVE BRAINLIEST!!

Emily was going to sell all of her stamp collection to buy a video game. After selling half of them she changed her mind. She then bought seventeen more.IF SHE STARTED WITH 46 STAMPS, how many does she have now?
A. 75
B. 40
C. 29
D. 63

Answers

Answer:

B. 40

Step-by-step explanation:

She starts with 46 and sells half of them

That leaves her with 23 stamps left.

She then buys 17 more, 23 + 17 is 40

Answer is B

Answer:

B. 40 stamps

Step-by-step explanation:

We know that she sold half of her stamps. She started with 46 stamps.

First, find 1/2 of 46.

Multiply 1/2 and 46, or divide 46 by 2.

1/2 *46= 23

46/2=23

She sold 23 stamps, and was left with 23 stamps.

Then, she bought 17 more. If she bought more, she added to the amount she already had.

Therefore, we can add 23 and 17.

23+17=40

She has 40 stamps now.

Using the distance formula, find the distance between two points. (6, 0) (-5, 4)

Answers

Answer:

11.7046999

Step-by-step explanation:

using the distance formula (d=√(x₂ -x₁)² + (y₂-y₁)²), we can plug in the two points to find the distance between them:

d=√(6-(-5)² + (0-4)²

d=√(11)²+ (-4)²

d=√121+16

d=√137

d approximately equal to (≈) 11.7046999 or 11.7 or 11

Please help if you think you can

Answers

Answer:

-32x-22y

Step-by-step explanation:

4x + 2y - 6(6x - 4y)

Use distributive property

4x + 2y - 6(6x - 4y)

4x + 2y - 36x -24y

-32x-22y

Step-by-step explanation:

4x + 2y - 6(6x - 4y)

To remove the parenthesis multiply 6 by the terms in the parenthesis

That is

4x + 2y - 36x + 24y

Group like terms

4x - 36x + 2y + 24y

Simplify the terms

- 32x + 26y

Divide all terms by 2

we get

- 16x + 13y

I hope this helps you

Giovanna used the calculations below to determine the height of a stack of 7 books that are each 2 and StartFraction 5 over 8 EndFraction inches thick. What was her error? 7 (2 and StartFraction 5 over 8 EndFraction). 7 (2 + StartFraction 5 over 8 EndFraction). 14 + StartFraction 5 over 8 EndFraction. 14 and StartFraction 5 over 8 EndFraction The fraction was not simplified in the last step. Seven was not multiplied by StartFraction 5 over 8 EndFraction. There should be a subtraction step, not an addition step. Two should have been multiplied by StartFraction 5 over 8 EndFraction.

Answers

Answer:

She didn't do the multiplication of 7 times the fraction 5/8 by using distributive property.

so the correct answer is the one that looks like:

Seven was not multiplied by StartFraction 5 over 8 EndFraction.

in your list of options.

Step-by-step explanation:

If one has a stack of seven books each [tex]2\frac{5}{8} \,\,in[/tex] thick, one should first convert the mixed number to an addition of an integer plus a fraction

[tex]2\frac{5}{8} =(2+\frac{5}{8})[/tex]

as she did, and then multiply 7 by the addition, making sure to use distributive property and multiply both terms:

[tex]7\,\,(2+\frac{5}{8})=7\,*\,12+7\,*\,\frac{5}{8}=14+\frac{35}{8}[/tex]

and she didn't do the multiplication of 7 times the fraction 5/8

Students in an introductory statistics course were asked the following questions as part of a class survey:(1) What is your gender, male or female?(2) On average, how many hours of sleep do you get per night?(3) What is your bedtime: 8pm-10pm, 10pm-12am, 12am-2am, later than 2am?(4) How many countries have you visited?(5) On a scale of 1 (very little) - 5 (a lot), how much do you dread this semester? Identify the variables in the survey. Classify each variable as numerical or categorical. For each numerical variable, identify whether it is continuous or discrete. For each categorical variable, identify whether it is nominal or ordinal.

Answers

Answers:

Gender = categorical, nominal variable

Sleep length = numerical, continuous

Bedtime = categorical, ordinal

Number of countries visited = numerical, discrete

Scale of dreading semester = categorical, ordinal

=========================

Explanation:

Gender is categorical because there are two categories or labels, male or female. It is nominal because we simply attach names to each label and we can't sort them or order them from highest to lowest. There is no ranking for gender.

Sleep length is numerical as it deals with numbers. I put continuous because someone could write 2.5 hours or 3.75 hours. If whole numbers are only allowed, then the variable would be discrete.

The bedtime portion is categorical as each time slot is a category. Like with the first part, they are simply labels. We can order them however from earliest to later on, which is why this variable is ordinal.

The number of countries visited is numeric as expected, and it's also discrete because we can't visit 0.1 of a country. By "visit", I mean step foot in any part of the country for any length of time. It does not mean you have to explore every square inch of the territory.

The last part is categorical and ordinal. The scale ranking is ordered for us from 1 to 5. Despite the fact we have numbers here, the data is not numerical as the numbers 1 through 5 represent labels of "very little" through "a lot".

After two weeks of hard work at Sweet Sundae Ice Cream Shop, Zack finally got his first paycheck! He deposited $120.00 into his savings account. Then, he put the remaining $56.74 in his checking account. Let p represent how much money Zack got paid. Which equation models the problem? p + 56.74 = 120.00 or p - 120.00 = 56.74 4) Solve this equation to find how much money Zack got paid.

Answers

Answer:

p - 120.00 = 56.74; p = $176.74.

Step-by-step explanation:

Out of the two equations, p - 120.00 = 56.74 would make the most sense. That is because it means that his paycheck minus the 120 that he deposited into savings is equal to the remaining balance.

We solve p - 120.00 = 56.74 by adding 120 to both sides.

p - 120 + 120 = 56.74 + 120

p = 176.74.

So, Zack got paid $176.74. That's a lot of money!

Hope this helps!

The height of a model rocket is 4% of the height of the actual rocket. The model is 2m high. How high is the actual rocket?

Answers

Answer:

50m

Step-by-step explanation:

The model rocket is 4% of the actual rocket and it is 2m high

That means that 4%=2m

4 fits into 100, 25 times so multiply both by 25:

100%=25*2m

100%=50m

100% being the actual rocket

hope this helped!

What is the value of m in the figure below? In this diagram, ΔABD ~ ΔBCD.

Answers

Answer:

√126

Option D is the right option.

solution,

[tex] \frac{ac}{bc} = \frac{bc}{dc} \\ or \: \frac{18}{ m} = \frac{m}{7} \\ or \: m \times \: m = 18 \times 7(cross \: multiplication) \\ or \: {m}^{2} = 126 \\ m = \sqrt{126} [/tex]

Hope this helps..

Good luck on your assignment.

Hope

Which equation represents a circle that contains the point (-5, -3) and has a center at (-2, 1)?
Distance formule: (x2 - x1)2 +(y2-y1)2
(x-1)2 + (y + 2)2= 25
(x + 2)2 + (y - 1)2=5
(x + 2)2+(y - 1)2 = 25
(X - 1)2 + (y + 2)2=5

Answers

Answer:

(x + 2)^2 + (y - 1)^2 = 25.

Step-by-step explanation:

The centre is at (-2, 1) so the equation is:

(x + 2)^2 + (y - 1)^2  = r^2   where r is the radius.

The radius is the distance from the centre to the point (-5, -3).

Using the distance formula:

r = √ [(-3- 1)^2 + (-5 - -2)^2]

and r^2 = (-3- 1)^2 + (-5 - -2)^2

= (-4)^2 + (-3)^2

= 16 + 9

= 25.

Solve the equation 3/2(y-1) =y+5 and represent the solution on number line and on the cartesian plane...... pls solve it and spam answers will be reported and if it is truly the correct answer i will 100% sure mark it as brainleist

Answers

Answer:

y = 13

Step-by-step explanation:

Step 1: Distribute

3/2y - 3/2 = y + 5

Step 2: Subtract y on both sides

1/2y - 3/2 = 5

Step 3: add 3/2 on both sides

1/2y = 13/2

Step 4: Divide both sides by 1/2

y = 13

Answer:

y = 13.

Step-by-step explanation:

3/2(y-1) = y+5

3/2y - 3/2 = y + 5

3/2y - y = 5 + 3/2

1/2y = 6 and 1/2; 6.5; 13/2

y = 13.

To check out work...

3/2(13 - 1) = 13 + 5

3/2(12) = 18

3 * 6 = 18

18 = 18

On a number line, all you need to do is plot a point where it says 13. On a cartesian plane, you would have a horizontal line that expands infinitely in each direction, where y = 13.

Hope this helps!

You want to know whether the students in your school enjoy the school lunch. You survey every student in your class. Is this survey biased or unbiased?

Answers

Answer:

biased

Step-by-step explanation:

on my quiz good luck

The survey is biased because a biased sample favors one or more segments of the population over others.

What is a survey?

A survey is a means of gathering information from a sample of people using pertinent questions with the goal of understanding populations as a whole.

We have:

You want to know whether the students in your school enjoy the school lunch.

As we know,

A biased sample favors one or more segments of the population over others, whereas an impartial sample gives everyone in the population an equal chance of being chosen.

The population is the collection of data with the same entity that is linked to a problem. The sample is a subset of the population, yet it is still a part of it

Thus, the survey is biased because a biased sample favors one or more segments of the population over others.

Learn more about the survey here:

brainly.com/question/17373064

#SPJ5

The diagram shows an empty tank in the shape of a horizontal prism of length 150 cm.
The cross section of the prisin is an isosceles trapezium ABCD.
AB= 50cm, CD- 70 cm and the vertical height of the trapezium is 40 cm.
(0) Calculate the volume of the tank. it is a math question ​

Answers

Answer:

2400

Step-by-step explanation:

Area of a trapezoid: (b₁ + b₂) / 2 * h

= (70 + 50) / 2 * 40

= 60 * 40 = 2400

Please help emergency and add explanation too pleaSE

Answers

Answer:

1

Step-by-step explanation:

Change 1/2 to 0.5.  Then, do the problem of 0.75-0.25+0.5.

Step-by-step explanation:

is your answer mate ......

Help please! THANK YOU!

Answers

Answer:

4

Step-by-step explanation:

1-(-3)=4

rise is 4

Answer:

It is 4 units. You can count how many units the bottom (horizontally) of the blue triangle is to get the run.

Please helppppp meeeeee it would mean the worlddddd

Answers

Answer:

x = 7.5

Step-by-step explanation:

Construct a perpendicular bisector to AB

Answers

Answer:

look below:

Step-by-step explanation:

Answer: See attachment - hopeful it helps -  

I will update post once I get it back --

Step-by-step explanation: Kindly give me brainly :)

897-113×2:2+113

A) 888
B) 987
C) 898
D) 1694
E) 897​

Answers

Answer:

d it is what it is my man's

AC=4, AE=7, AD=10, what is the length of AB?
A: 1 3/7
B: 2 1/2
C: 5 5/7
D: 17 1/2

Answers

Answer:

C. [tex] AB = 5\frac{5}{7} [/tex]

Step-by-step explanation:

When two polygons are considered similar, the ratio of their corresponding sides would also be equal.

Since ∆ABC and ∆ADE are similar, [tex] \frac{AE}{AC} = \frac{AD}{AB} [/tex]

[tex] \frac{7}{4} = \frac{10}{AB} [/tex]

Cross multiply

[tex] 7*AB = 10*4 [/tex]

[tex] 7*AB = 40 [/tex]

Divide both sides by 7 to find AB

[tex] \frac{7*AB}{7} = \frac{40}{7} [/tex]

[tex] AB = \frac{40}{7} [/tex]

[tex] AB = 5\frac{5}{7} [/tex]

What is the length of AC?

Answers

Answer:

≈ 5.9

Step-by-step explanation:

AC/3= 5.5/2.8

AC= 5.5*3/2.8

AC ≈ 5.9

(10,16) and (-28, -16)
What is the midpoint of a segment
with the endpoints shown to the
left?
(-18, 0)
(-9, 2)
(19,16)
(-9,0)

Answers

Answer:

(-9, 0)

Step-by-step explanation:

To find the midpoint of the segment, we use the mathematical formula below;

(x,y) = {(x1+x2)/2 , (y1+y2)/2}

From the question;

(x1,y1) = (10,16)

(x2,y2) = (-28,-16)

Substituting these values into the equation we wrote above, we have;

(x,y) = (10-28)/2 , (16-16)/2

(x,y) = (-18/2, 0/2) = (-9,0)

A flask contains 12% acid solution and the remaining volume is water. If the flask is 8.52 inches high and the diameter is 3.71 inches. What percent of the mixture by volume is water?

Answers

Answer:

Percent of water in the mixture=88%

Which is 81.07 square inches of the total volume

Step-by-step explanation:

Volume of the flask=πr^2h

π=3.142

radius=diameter/2

=3.71/2

=1.855

height=8.52 inches

Volume of the flask=πr^2h

=3.142*(1.855)^2*8.52

=3.142*3.441025*8.52

=92.115688686

Approximately 92.12 square inches

Flask contains 12% acid solution and the remaining volume is water

Percentage of water =Total percentage - acid solution percentage

=100%-12%

=88%

Percentage of Water =88%

Percentage of the mixture by volume is water=88% of the total volume

=88/100*92.12

=81.0656 square inches

Approximately 81.07 square inches

Find x please help thank you

Answers

Answer: x=(7√6)/2

Step-by-step explanation:

To find x, we would have to find the hypotenuse of the 45-45-90 triangle. First, we would have to find the hypotenuse by using the 30-60-90 triangle on top to find it.

For a 30-60-90 triangle, the hypotenuse is 2x in length. the x is the same in all sides. All you would have to do is to plug it in. The leg opposite of 60° is x√3 in length. the leg opposite of 30° is x in length.

Since we know that 7 is opposite of the 30° angle, we know that x is 7. Across fron 60° is the hypotenuse of the 45-45-90 triangle. That leg is x√3. We plug in x=7 and get 7√3.

The hypotenuse of the 45-45-90 triangle is x√2 and the legs are both x. We can set 7√3 equal to x√2 to find x of the missing side.

7√3=x√2           [divide both sides by √2]

x=(7√6)/2

Now, we know x=(7√6)/2.

-28=7(x-7) What does x=

Answers

Answer:

so x=3

Step-by-step explanation:

-28=7(x-7)

opening the brackets by multiplying

-28=7x-49

adding 49 on both sides

-28+49=7x-49+49

21=7x

dividing 7 on both sides

21/7=7x/7

x=3

i hope this will help you :)

Answer:

-28=7(x-7)

First expand the terms on the right side

That is

-28 = 7x - 49

Group like terms

7x = -28 + 49

7x = 21

Divide both sides by 7

7x/7 = 21 /7

x = 3

Hope this helps

The owner of a music store gathered data from several schools about the number of students in their concert and marching bands. The
scatter plot shows the data she gathered and the line of best fit.

Answers

Answer:

25 students

Step-by-step explanation:

Using the line of best fit, we want to deduce the number of students predicted to be in the marching band given that there are 35 in the concert band.

To deduce this, what we need to do is to go to the point where we have 35 on the concert band axis i.e the x-axis, then trace it upto the line of best fit.

Then from the line of best fit, now trace to the y-axis.

This gives an answer 25.

30.10
A bag contains 4 red marbles, 3 a bag contains 4 red marbles, 3blue marbles, and 7 green marbles. If a marble is randomly selected from the bag,
find the probability that a blue marble will be drawn

Answers

Answer:

4/21

Step-by-step explanation:

It should be a porpotion

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