A falcon flew 70 miles in 3 hours. What was the speed of the falcon? speed = distance over time ; 1 mile = 1609 meters the answer is not 23.3

Answers

Answer 1

Answer:10.4

Step-by-step explanation:

There are a lot of information's that are already given in the question. Based on these information's the answer can be deduced.

1 mile = 1609 meters

Then

70 miles = 1609 * 70 meters

              = 112630 meters

again

1 hour = 3600 seconds

3 hours = 3600 * 3 seconds

            = 10800 seconds

So

Speed = 112630/10800 meters/second

          = 10.4 meters per second.

So the falcon was flying at a speed of 10.4 meters per second.


Related Questions

A cart starting from rest travels a distance of 12.7 meters in 3.6 seconds. The average speed of the cart is
Select one:
a. 3.5 m/s
b. 0.3 m/s
C. 45.7 m/s
d. 16.3 m/s

Answers

Answer:

A

Step-by-step explanation:

12.7 meters divided by 3.6 seconds is 3.527 round it up and it stays 3.5 m/s

The average speed of the cart is: 3.5 m/s

The correct option is (A).

What is Average speed?

The average speed is the total distance traveled by the object in a particular time interval.

Given:

distance = 12.7m, time= 3.6 seconds

Average speed will be,

= Distance/time

=12.7/3.6

=3.522 m/s

Hence, the average speed is 3.522 m/s.

Learn more about average speed here:

https://brainly.com/question/12322912

#SPJ2

Three times a number is equal to the sum of half the number and 30. What is the number?

Answers

Answer:

12.

Step-by-step explanation:

3x = 0.5x + 30

2.5x = 30

x = 30 / 2.5

x = 12

At a sale, coats were sold for $10 each. If the coats originally cost $20 each, what percentage of its original price was a coat sold for?

Answers

Answer: 50%

Step-by-step explanation:

10/20×100=50%

Answer:

50

Step-by-step explanation:


Pete earns $8.50 per hour plus tips. On Tuesday, he received $16 in tips. How many hours did Pete work if he earned a total of $50 on
Tuesday?

Answers

Answer:

4 hours .  

Step-by-step explanation:

4x8.50=34

34 + 16=50

Answer:

He worked 4 hours i think

Step-by-step explanation:

Take 50 and subtract his tips ($16)

then divide your answer by how much he makes an hour ($8.50)


The diagonal of a square is 4 cm. Find its ar
ea.


Answers

Answer:

Area of square= d²/2

= 4²/2

= 16/2

= 8cm²

Step-by-step explanation:

A=

[tex]a {?}^{2} [/tex]

d=

[tex] \sqrt{2a} [/tex]

we can find A.USE THIS FORMULA

A =1/2 d squared

so 1/2×4 squared=8

8 is the answer

solve for x 4(2x+9)=-44+8

Answers

How to solve:

1) 4(2x+9)=-44+8

2) 8x+36=-36 (distribute the four to the numbers inside of the parenthesis and combine like terms)

3) 8x=-72 (subtract 36 from each side)

4) x=-9 (Divide each side by 8 to get the answer)

$9.40 per hour times 22 hours round to the nearest cent

Answers

Answer:

The answer is 206.8. But you want me to round to the nearest cent so the real answer is $207.00

Step-by-step explanation:

What is an algebraic expression for 58 less than a number n?

Answers

Answer:

n-58

Step-by-step explanation:

Answer: n - 58

Step-by-step explanation:

The n goes first. You are subtracting 58 to find the missing value once n is determined.

Suppose the average yearly salary of an individual whose final degree is master's is $40 thousand less than twice that of an individual whose final degree is a bachelor's. Combined, two people with each of these educational attainments earn $110 thousand. Find the average yearly salary of an individual with each of these final degrees.

Answers

Answer:

x=50000  dollars ( the average salary of bachelor degree)the average salary of Masters degree = 2x-400002(50000)-40000=60000 dollarsstep by step explanation :

let x be the salary of individual with bachelor degree

Then the average salary of individual with Masters degree is:

(2x-40000)

the combined of two salaries is 110000:

x+(2x-40000)=110000

3x-40000=110000

3x=110000+40000

x=150000/3

x=50000  dollars ( the average salary of bachelor degree)the average salary of Masters degree = 2x-400002(50000)-40000=60000 dollars

Click and drag like terms onto each other to simplify fully. 1+x^2-3+2y+7x^2+3+3y

Answers

Answer:

8x^2 + 5y + 1

Step-by-step explanation:

1 + x^2 - 3 + 2y + 7x^2 + 3 + 3y

group like terms

= x^2 + 7x^2 + 2y + 3y + 1 - 3 + 3

add similar items

= 8x^2 + 2y + 3y + 1 - 3 + 3

add similar items

= 8x^2 + 5y + 1 - 3 + 3

= 8x^2 + 5y + 1

Answer:

[tex]\Huge \boxed{8x^2 +5y+1}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

[tex]1+x^2-3+2y+7x^2+3+3y[/tex]

Grouping like terms.

[tex]7x^2 +x^2+2y +3y +3+1 -3[/tex]

[tex](7x^2 +x^2)+(2y +3y) +(3+1 -3)[/tex]

Combining like terms.

[tex]8x^2 +5y+1[/tex]

[tex]\rule[225]{225}{2}[/tex]

A test has five questions. To pass the test, at least three of the questions must be answered correctly. question ----> Find the probability that Mark guesses 4 questions correctly.

Answers

Answer:

1/5

Step-by-step explanation:

Total Question no. 5

Three must be answer correctly so 3/5 to pass

  and 2/5 to fail  

So 1/5 because to pass the test he can answer it  correctly only one time

1
Is the value of -6 -6 POSITIVE, NEGATIVE, or ZERO?

Answers

Answer:

Negetive

Step-by-step explanation:

It helps to re-write.

-6 + -6 is the same as -6 -6

-6 + -6 = - 12

It would be different if these were multiplied together, but AS WRITTEN, they are subtracted. If it was (-6)(-6) or -6(-6) that would indicate multiplication as well.

The answer is negative.

Mrs. Zhang's bee farm has a population that is about 1 tenth as large as Mr. Doyle's bee farm. If Mrs. Zhang's bee population is about 46,000, about how many bees does Mr. Doyle have?

Answers

Answer:

Mr. Doyle has 460000 bees

Step-by-step explanation:

We are told that Mrs. Zhang's bee farm has a population that is about 1 tenth as large as Mr. Doyle's bee farm.

Thus;

Population size of Mrs. Zhang's bee farm = 1/10 × population size of Mr. Doyle's bee farm

Now, we are given that Mrs. Zhang's bee population is about 46,000.

Thus, from the earlier equation, we have;

46000 = 1/10 × population size of Mr. Doyle's bee farm

Thus, when we multiply both sides by 10,we get;

population size of Mr. Doyle's bee farm = 46000 × 10 = 460000 bees

It costs twelve dollars to get in to the fair. Tickets for rides cost extra and are d dollars each. If Tyra buys 20 tickets, how much would it cost her for the fair?

Answers

Answer:

12 + 20d

Step-by-step explanation:

OG fare = 12

Ticket price =d

20 Tickets =20d

Yesterday morning, the temperature was -11°F. The temperature increased 7°F by noon and then decreased 4°F by nightfall. What was the temperature at nightfall last night?

Answers

Answer:

1

Step-by-step explanation:

1

Please prove this!!!!​

Answers

Answer:  see proof below

Step-by-step explanation:

Use the following Sum/Difference Identities:

sin(A + B) = sin A · cos B + sin B · cos A

sin(A - B) = sin A · cos B - sin B · cos A

Use the following Half-Angle Identities:

[tex]\sin\bigg(\dfrac{\theta}{2}\bigg)=\dfrac{\sqrt{1-\cos \theta}}{\sqrt2}\\\\\\\cos\bigg(\dfrac{\theta}{2}\bigg)=\dfrac{\sqrt{1+\cos \theta}}{\sqrt2}[/tex]

[tex]\text{Use the Unit circle to evaluate:}\ \cos\dfrac{\pi}{4} = \sin\dfrac{\pi}{4} = \dfrac{\sqrt2}{2}[/tex]

Use the following side work:

[tex]\sin\bigg(\dfrac{\pi}{8}\bigg)=\sin\bigg(\dfrac{\frac{\pi}{4}}{2}\bigg)=\dfrac{\sqrt{1-\cos \frac{\pi}{4}}}{\sqrt2}=\dfrac{\sqrt{2-\sqrt2}}{2}\\\\\\\cos\bigg(\dfrac{\pi}{8}\bigg)=\cos\bigg(\dfrac{\frac{\pi}{4}}{2}\bigg)=\dfrac{\sqrt{1+\cos \frac{\pi}{4}}}{\sqrt2}=\dfrac{\sqrt{2+\sqrt2}}{2}[/tex]

Proof LHS → RHS

[tex]\text{LHS:}\qquad \qquad \qquad \qquad \qquad \sin^2\bigg(\dfrac{\pi}{8}+\dfrac{A}{2}\bigg)-\sin^2\bigg(\dfrac{\pi}{8}-\dfrac{A}{2}\bigg)\\\\\text{Sum/Difference Identity:}\qquad \bigg(\sin\dfrac{\pi}{8}\cdot \cos \dfrac{A}{2}+\sin \dfrac{A}{2}\cdot \cos \dfrac{\pi}{8}\bigg)^2\\\\.\qquad \qquad \qquad\qquad \qquad \quad -\bigg(\sin\dfrac{\pi}{8}\cdot \cos \dfrac{A}{2}-\sin \dfrac{A}{2}\cdot \cos \dfrac{\pi}{8}\bigg)^2[/tex]

[tex]\text{Expand and Simplify:}\qquad \quad 4\sin \dfrac{\pi}{8}\cdot \cos\dfrac{A}{2}\cdot \sin \dfrac{A}{2}\cdot \cos \dfrac{A}{2}\\\\\\\text{Substitute:}\qquad \qquad \qquad 4\bigg(\dfrac{\sqrt{2-\sqrt2}}{2}\bigg)\cdot \cos \dfrac{A}{2}\cdot \sin \dfrac{A}{2}\bigg(\dfrac{\sqrt{2+\sqrt2}}{2}\bigg)\\\\\\\text{Simplify:}\qquad \qquad \qquad \sqrt2\cos \bigg(\dfrac{A}{2}\bigg)\cdot \sin \bigg(\dfrac{A}{2}\bigg)[/tex]

[tex]\text{Half-Angle Identity:} \quad \sqrt2\bigg(\dfrac{\sqrt{1+\cos A}}{\sqrt2}\bigg)\bigg(\dfrac{\sqrt{1-\cos A}}{\sqrt2}\bigg)\\\\\\\text{Simplify:}\qquad \qquad \qquad \dfrac{\sqrt{1-\cos^2 A}}{\sqrt2}\\\\\\.\qquad \qquad \qquad \qquad =\dfrac{\sqrt{\sin^2 A}}{\sqrt2}\\\\\\.\qquad \qquad \qquad \qquad =\dfrac{\sin A}{\sqrt2}[/tex]

[tex]\text{LHS = RHS:}\quad \dfrac{\sin A}{\sqrt2} = \dfrac{\sin A}{\sqrt2}\quad \checkmark[/tex]

Another way to write g(h(x))

Answers

you can use the multiplication symbols (x) or (•)

Answer:

(gOh)(x) on edg 2020

Step-by-step explanation:

Melissa and Rachel like to make funny hats. Melissa has made 202020 zebra-printed hats, and Rachel has made hhh striped hats. Together they have made a total of 424242 hats. Write an equation to describe this situation.

Answers

Answer:

42= 20 +h

Step-by-step explanation:

Given from the problem statement

Melissa has made 20 zebra-printed hats

and Rachel has made h amount of striped hats

and also the total amounts of hats made by both of them is 42 hats

We can write a simple equation for the scenario as

[tex]42= 20 +h[/tex]

We can solve the equation to know the amount of hats made by  Rachel

[tex]42= 20+h\\\\h= 42-20\\\\h= 22[/tex]

Hence Rachel has made 22 hats

ALG II NEED HELP QUICK! Will mark the brainliest answer

Answers

I think it’s the second one because The formula would be
x=
2a
−b±
b
2
−4ac

See your levels
Brenna went on vacation and sent postcards to all of her family and friends. She needed 45
postcards, but the store only sold them in packs of 12. She bought 4 packs. How many
postcards did she have left over?

Answers

Answer:
3 postcards

Explanation:
So the question says that Brenna bought 4 packs of 12 postcards, which is the same as 4x12.

4x12=48, so Brenna bought 48 postcards.

It says that she only needed 45, so we can subtract 45 from 48.

48-45=3

Brenna had three postcards left over.

Hope this helped you!

how would one go about solving this graph?

Answers

Density = Mass/Volume
Mass= Density x volume
Volume= mass/density

Density = Mass / Volume, so you could use that information to solve for each value in the graph.

2. Mass = Density * Volume = 8.07 * 1.04 = 8.59 g

3. Volume = Mass / Density = 8.26 / 8.10 = 1.02 mL

4. Density = Mass / Volume = 7.91 / 0.99 = 7.99 g/mL

5. Mass = Density * Volume = 8.05 * 0.98 = 7.89 g

6. Volume = Mass / Density = 8.53 / 8.05 = 1.06 mL

Find any 5 rational numbers between; a) -1 and 2 b) −3 8 −5 14

Answers

Answer:

Step-by-step explanation:

Hello,

You can list the following ones which are correct for a), b) and c)

[tex]\boxed{\sf \bf \ \ 1, \dfrac{1}{2}, \dfrac{1}{3},\dfrac{1}{4},\dfrac{1}{5} \ \ }[/tex]

Thanks

A recipe for 2 loaves of banana bread calls for 3 bananas and 2 cups of flour. How many
bananas are needed to make 10 loaves of bread?

Answers

Answer:

15 bananas

Step-by-step explanation:

If two loaves of bread uses 3 bananas then multiply that by 5 because 10 divided by 2 is 5 and get 15 bananas.

Factoring the expression 20a^3b^3 – 24a^5b^2 + 4a^3b^2 gives a new expression of the form
Ua^xb^y (Wa^2 + Vb+ z), where U > 0.
What is the value of U?
What is the value of W?
What is the value of V?
What is the value of Z?
What is the value of x?
What is the value of y?

Answers

Answer:

[tex]U = 4\\W = -6\\V = 5\\Z = 1\\x = 3\\y = 2[/tex]

Step-by-step explanation:

Then given expression is:

[tex]20a^3b^3-24a^5b^2+4a^3b^2[/tex]

To express the given expression in the form:

[tex]Ua^xb^y(Wa^2+Vb+Z)[/tex]

and to find the values of [tex]U, W, V, Z, x, y[/tex].

First of all, let us check the maximum common powers of [tex]a, b[/tex] in each term from the given expression.

The maximum common power of [tex]a[/tex] is 3 and

The maximum common power of [tex]b[/tex]  is 2.

So, we can take [tex]a^3b^2[/tex] common out of each term.

And maximum common coefficient that can be taken out common is 4.

Taking 4[tex]a^3b^2[/tex] common from each term of given expression, we get:

[tex]4a^3b^2(-6a^2+5b+1)[/tex]

Now, let us compare the given term with:

[tex]4a^3b^2(-6a^2+5b+1)[/tex] = [tex]Ua^xb^y(Wa^2+Vb+Z)[/tex]

Now, the values that we get the following values:

[tex]U = 4\\W = -6\\V = 5\\Z = 1\\x = 3\\y = 2[/tex]

which is our answer.

A bag contains 6 red marbles, 2 green, and 4 blue marbles. You randomly pick a marble and then pick a second marble, returning the marbles to.the bag each time. What is the probability of pulling a blue marble first and then a red marble.second?

Answers

Answer:

Probability of pulling a blue marble is 1/3 about 33% chance

Probability of pulling a red marble is 1/2 = 50% chance

Step-by-step explanation:

Total marbles = 6+2+4 = 12

4 of those 12 are blue

4/12=1/3 when reduced

________________________

Total marbles are still = 12

6 of the 12 are red

6/12=1/2 when reduced

Hope this helps! :)

write this as a simplified expression. if you want to write the rules so that i could later figure out this problem later :)

Answers

Answer:

4x - 2

Step-by-step explanation:

Perimeter of triangle

[tex] =( 2x - 5) + (3x - 2) +( 5 - x) \\ = 2x + 3x - x - 5 - 2 + 5 \\ = 5x - x - 2 \\ = 4x - 2[/tex]

Please help me if you can..

Answers

The answer is B. The y-intercept is 4 so you go up four on the y-axis. Your slope is 2. So from the point of (4,0) go up another 2 and 1 to the right.

Multiply.
(9√3+√5)(9√3+√5)
Simplify your answer as much as possible.

Answers

Answer:

[tex]248 + 18\sqrt{15}[/tex]

Step-by-step explanation:

[tex](9\sqrt{3}+\sqrt{5} )(9\sqrt{3}+\sqrt{5} )=(9\sqrt{3}+\sqrt{5} )^2[/tex]

[tex]81 \cdot 3 + 2\cdot 9\sqrt{3} \cdot \sqrt{5} + 5[/tex]

[tex]243 + 18\sqrt{15} + 5[/tex]

[tex]248 + 18\sqrt{15}[/tex]

Mary's bank account was overdrawn by
$21. If she deposits $60, find the new
balance.

Answers

Answer:

39

Step-by-step explanation:

If her bank account is overdrawn, that means that it has a negative balance. This means that without the $60, she has -$21 and once she deposits the $60, twenty one of the 60 will be subtracted

Answer: The answer is 39

Step-by-step explanation: -21+60=49

hope you like it :)

Micha washed a car in 20 minutes. At this rate, how many hours would it take to wash 9 cars?

Answers

Answer:

3 hours

Step-by-step explanation:

he washed one car in 20 minutes so 9 cars will be 20 x 9=180minutes which is 3 hours

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