A bird leaves its nest and travels 18 miles per hour downwind for x hours. On the return trip, the bird travels 3 miles per hour slower and has 5 miles left after x hours.

a. What is the distance of the entire trip? (In miles)

b. How long does the entire trip take? (In hours and minutes and seconds)

Answers

Answer 1

9514 1404 393

Answer:

60 miles3 hours 40 minutes 0 seconds

Step-by-step explanation:

The relation between speed, distance, and time is ...

  distance = speed × time

a) The distance the bird traveled downwind is ...

  (18 miles/hour)(x hours) = 18x miles

3 miles per hour slower than 18 miles per hour is 15 miles per hour. So the distance in miles the bird traveled after x hours on the return trip is ...

  15x = 18x -5

  5 = 3x . . . . . . add 5 -15x

  x = 5/3 . . . . . .divide by 3

Then the distance traveled downwind is ...

  18x = 18(5/3) = 30 . . . . miles

and the time for the return trip is ...

  (30 mi)/(15 mi/h) = 2 h . . . . . for the entire return trip

So, the entire round trip is 2×30 miles = 60 miles.

__

b) The time for the entire trip is ...

  5/3 h downwind + 2 h return = 3 2/3 h = 3 hours 40 minutes 0 seconds


Related Questions

The table shows the regular price and percent of discount for four items. Write the correct sale price for each item. Round to the nearest cent if necessary.

Answers

Answer:

Step-by-step explanation:

A. $154.20 * 0.65   = $100.23

B. $91.96 * 0.70 = $64.37

C. $47.60 * 0.75 = $35.70

D. $84.60 * 0.80 = $67.68

Which equation is modeled below?
O 2x+(-2)=-2x+
O 4x+(-2)=-2x+6
O 2x+4 = 6x + 2
O-2x+4=6x+(-2)​

Answers

Answer:

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

Step-by-step explanation:

im not gonna explain a diagram but it won't let me submit.

The Cougar Shipping Company found that 3 out of 25 boxes
were damaged. What percent of the boxes were damaged?
a.
3%
b.
18%
C.
20%
d.
75%

Please hurry

Answers

Answer:

i think it is 20

Step-by-step explanation:

i hope it help

Marissa counted 29 coins in her change purse which contained, d, dimes and, q, quarters. The value of the coins is $5.00. How many dimes and how many quarters are in her change purse?

Answers

Answer:

i think the rubber ducky in the bath died on the celling so she was happy and then there was a puddle of tears on the ground so thats why u should never go to school

Step-by-step explanation:

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Answers

Is this Morse code ......

Answer:

nice picture bro

Step-by-step explanation:

what is 2+2-3+9-5+3=

Answers

Answer:

8

Step-by-step explanation:

Answer: the answer is 8

Step-by-step explanation: hope this helps :)

The price of each box of Girl Scout
cookies is $ 20 - 4. Write an
expression using multiplication to
represent the total cost of 3 boxes of
cookies.

Answers

20-4 equals 16. So that means that’s our
answer of price per box. So 16 times 3 equals 48. A equation for this would be:
20-4=16X3=48

Solve the matrix equation below

Answers

Answer:

We need to distribute the values Hence [-4 0: 0 - 2 ] +[0 -3: 5 -4] X + [ 0 -3: 5 -4 ] = [19 -27 : 10 -24]

Answer this question
(Factors of 36)

1,36


_,_

_,_

4,9

_,_

*please answer asap!*

Answers

Answer:

1,36  2,18  3,12  4,9 and 6,6

Step-by-step explanation:

If you multiply them, they equal 36

Learning Task 1: Find the percentage. Write your answer in your notebook.
1) What is 20% of 160?
2) 25% of 96 is
3) 15% of 80 is
4) What is 50% of 70?
5) What is 30% of 20
6) 75% of 40 is
7) 65% of 100 is
8) 200% of 100 is
9) What is 125% of 100?
10) What is 300% of 100?
--​

Answers

Answer:

1.32%

2.24%

3. 12%

4.35%

5. 6%

6. 30%

7. 65%

8. 200%

9. 125%

10. 300%

Help full?

Given that the following is a Rhombus, find the missing angles.

Answers

Answer:

1. 90

2. 61

3. 29

4. 61

Step-by-step explanation:

1 is a 90 degree angle. Triangles = 180 degrees

Use substitution to determine which system is represented by the graph.

Answers

Answer:

2x + 4y = 28

-2y = x + 28

Step-by-step explanation:

Looking at the graph, we can see that the lines do not intersect. Therefore, they do not have a shared solution. We need to find the system of equations that does not have a solution.

1) Let's try to solve the third system given (counting from the top). To solve with the substitution method, we need to isolate one variable in one of the equations. I chose to isolate y in -2y = x + 28:

[tex]-2y = x + 28\\y = \frac{-1}{2}x -14[/tex]

2) Now that we've isolated the y in that equation, substitute what y equals in that equation for the y in the other equation. So, substitute [tex]\frac{-1}{2}x-14[/tex] for y in 2x + 4y = 28 and simplify:

[tex]2x + 4(\frac{-1}{2}x - 14) = 28\\2x - 2x- 64 = 28\\-64 = 28[/tex]

In a normal situation, the x's would not cancel out, and we would be able to isolate x to get the x-value of the solution. However, in this case, they have, and we ended up with a false statement, as -64 does not equal 28. Whenever this happens, it means the system does not have a solution. Therefore, the third option would represent the system in the graph.

The given graph shows the simultaneous relationship of equations 2x + 4y = 28 and  -2y = x + 28. Option C is correct.

What are simultaneous linear equations?

Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.

Here,
From the graph, the two lines represents the simultaneous relationship,
Where,

The slope of the both lines is,
m = -1/2

And y-intercept of both lines is,
C₁ = 7 and C₂ = - 14

Now,
equations  of the lines are,
y = -x/2 + 7 and y = -x/2 - 14
x + 2y = 14  and x + 2y = -28
or
2x + 4y = 28  - - - - -  -(1) and  -2y = x + 28 - - - - - - -(2)

Now,
From equation 2 substitute y in equation 1
2x + 4[-x - 28]/2= 28
2x - 2x - 56 = 28
-56 = 28
So the lines are parallel and has no solution.

Thus, the given graph shows the simultaneous relationship of equations 2x + 4y = 28 and  -2y = x + 28. Option C is correct.

Learn more about simultaneous equations here:

https://brainly.com/question/16763389

#SPJ2

Which of the following systems of linear inequalities is represented by the
solution graphed below?

Answers

Answer:

look it up

Step-by-step explanation:

Start with 2. Add 6 to each term to get the following term. What is the 6th term of the sequence?

Answers

Answer:

32

Step-by-step explanation:

We can either add all the terms.

2+6=8

2,8

8+6=14

2,8,14

14+6=20

2,8,14,20

20+6=6

2,8,14,20,26

26+6=32

2,8,14,20,26,32

The Sixth term is 32

or We can multiply 6 times 5 (30) and add 2, which would give us 32.

The reasoning behind this is that we are adding six five times (so six times five) and we are also adding the first term (2).

Help plz:)))I’ll mark u Brainliest

Answers

6/2 or 3/0 I dont know if this is right I'm really not sure but the sums look right except for the fact that you can simplify down to 3/0 overall I think its ok

Step-by-step explanation:

39+24+33 = 96

11+13+8 = 32

96/32 simplified down = 6/2 = 3/0

Will mark brainliest!!!solve for each variable

Answers

3j=5j-9 [Diagonals of a rhombus bisect each other]
3j-5j=9
2j=9
j=4.5

k+10=6k [Diagonals of a rhombus bisect each other]
10=5k
k=2

Help please!

Urgent Question!!!​

Answers

Step-by-step explanation:

Coordinates of Point R = (0, y).

We have PR = QR.

=> (-2 - 0)² + (6 - y)² = (9 - 0)² + (3 - y)².

=> 4 + (6 - y)² = 81 + (3 - y)²

=> y² - 12y + 40 = y² - 6y + 90

=> 6y + 50 = 0

=> y = -25/3.

Hence the answer is (0, -25/3).

Coordinates of Point S = (x, 0).

We have PS = QS.

=> (-2 - x)² + (6 - 0)² = (9 - x)² + (3 - 0)²

=> (-2 - x)² + 36 = (9 - x)² + 9

=> x² + 4x + 40 = x² - 18x + 90

=> 22x = 50

=> x = 25/11.

Hence the answer is (25/11, 0).

here,

coordinates of P(-2,3)

coordinates of Q(9,3)

coordinates of R(0,0)

now,

PR=QR

or, 0-(-2)+0-3=(0-9)+(0-3)

or, 2-3= -9-3

or, -1 = -12

The expression 120 + 15m gives the volume of water in Miguel's pool (in liters) after he spends m minutes filling his pool.

What is the volume of water in Miguel's pool after he fills it for 6.5 minutes?

Answers

Answer:

217.5 liters

Step-by-step explanation:

15 x 6.5 = 97.5. 97.5 + 120 = 217.5 liters

Which is the hidden question in this problem?
Jason bought 6 season tickets to the theatre. Each ticket cost $120.
A season parking pass cost $30. How much did Jason spend for the tickets and the parking pass?
A Will the tickets cost more than $1,500?
B. How much more is the cost of the tickets than the cost of the parking pass?
How much do six season tickets cost?
D
How much will two parking passes cost?

Answers

Answer

how much more is the cost of tickets than the cost of parking pass

Step-by-step explanation:\

i think, sorry if im wrong but its kinda hard to understand what you typed.

Answer:

A: No the tickets won't cost more than $1500.

B: 90 more dollars.

6 season tickets cost $720

D: 2 parking tickets will cost $60

if something is plentiful, possession of it will not increase your power. A resource need to be perceived as _____ to create dependency.
= Scarce

Answers

Step-by-step explanation:

if something is plentiful, possession of it will not increase your power. A resource need to be perceived as scarce to create dependency.

5/6 divided by 1/2 simplest from

Answers

Answer:

5/3

Step-by-step explanation:

(5/6)÷(1/2)

= (5/6) x 2

= 10/6 = 5/3

Hope this helps!

Answer:

the correct answer is 5/3

I'm 100000000000% sure

Which equation is equivalent to 10=3/2(2x+4)?

a.10=3x+2
b.10=3x+4
c.10=3x+6
d.10=3x+12

Answers

Answer

the answer should be C. 10=3x+6

10 pens for $8.99.
25 pens for $19.75

Answers

What is the question?

Step-by-step explanation:

Answer:

so you need to find the cost of one pen, which ever is cheaper pick that one

HELP ASAP
What is the area of the shaded region?
(2571 - 48) cm
O (2517 - 30) cm
(2517 - 24) cm
(257-12) cm

Answers

Answer:

Step-by-step explanation:

We are given a circle with a partially shaded region. First, we need to determine the area of the whole circle. To do this, we need the measurement of the radius of the circle:

Use the Pythagorean theorem to solve for the other leg of the right triangle inside the circle:

5^2 = 3^2 + x^2

x = 4

The radius is 4 + 1 cm = 5 cm

So the area of the circle is A = pi*r^2

A = 3.14 * (5)^2  

A = 25pi cm^2

To solve for the area of the shaded region:

Ashaded = Acircle - Atriangles

we need to solve for the area of the triangles:

A = 1/2 *b*h

A = 1/2 *6 * 5

A = 15 cm^2

Atriangles = 2 * 15  

Atriangles = 30 cm^2

Ashaded = 25pi - 30


Tom walks 1/3
of a mile in 1/4 of an hour. At this rate, how many miles will Tom Walk
in 1 hour?
-
B
IN

Answers

Answer:

4/3 miles

Step-by-step explanation:

1/3 miles

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

1/4 hour

1/3 ÷ 1/4

Copy dot flip

1/3 * 4/1

4/3 miles per hour

In 1 hour

4/3 miles

Answer:

1 1/3 miles in 1 hour

Step-by-step explanation:

since there are 4 quarters in 1, you must multiply 1/3 by 4.

1/3 x 4 = 1 1/3

PLEASE HELP PLEASE 100 POINTS PLUS BRAINLIEST
(I had the answer already but it deleted and now I can’t find it)

Answers

Step-by-step explanation:

Area of Sector

= θ/360° * πr² (degrees) or 0.5r²θ (radians)

Question 11:

(88°)/360° * π(19)² = 277.23ft².

Question 12:

(260°)/360° * π(11)² = 274.54mi².

Question 13:

0.5(6.2)²(7π/12) = 35.22km².

Question 14:

0.5(7.1)²(5π/3) = 131.97cm².

Question 15:

(215°)/360° * π(4.5)² = 37.99yd².

Question 16:

0.5(21.4)²(13π/18) = 519.54m².

here is the answers!

Area of Sector

= θ/360° * πr² (degrees) or 0.5r²θ (radians)

Question 11:

(88°)/360° * π(19)² = 277.23ft².

Question 12:

(260°)/360° * π(11)² = 274.54mi².

Question 13:

0.5(6.2)²(7π/12) = 35.22km².

Question 14:

0.5(7.1)²(5π/3) = 131.97cm².

Question 15:

(215°)/360° * π(4.5)² = 37.99yd².

Question 16:

0.5(21.4)²(13π/18) = 519.54m².

Madison is making a cleaning solution by mixing a multi-surface cleaner with water in the
ratio of 2 to 11. How many pints of the
cleaner and water does she need to make 39 pints of solution?
Cleaner:

Answers

Answer:

Im pretty sure its 33 and 6

Step-by-step explanation:

Answer:

Step-by-step explanation:

Set up a proportion

2/13 = x / 39                  Cross multiply

13*x = 2 * 39                  Combine the right

13x = 78                         Divide by 13

x = 78/13

x = 6

Why pick 13? Because the total must come to 39. You will make a mistake if you use 11 rather than 13. You must include the cleaner in the denominator. Very tricky question.

So the final answer is

Cleaner: 6

Water: 39 - 6 = 33 pints of water.

Very few of your classmates will get this if they are not in chemistry. You might even be told your answer is incorrect. It isn't.

Amy purchased a brand–new mountain bike, which she's riding through the winding trails. The bike's displacement is given by
s(t) = t3 − 2t2 + 3. What is the bike's acceleration after three minutes?

Answers

Answer:

a = 14 m/min²

Step-by-step explanation:

The displacement of bike is given by :

[tex]s(t)=t^3-2t^2+3[/tex]

Velocity, [tex]v=\dfrac{ds(t)}{dt}[/tex]

Finding velocity of the bike.

[tex]v=\dfrac{d}{dt}(t^3-2t^2+3)\\\\=3t^2-4t[/tex]

Acceleration, [tex]a=\dfrac{dv(t)}{dt}[/tex]

[tex]a=\dfrac{d}{dt}(3t^2-4t)\\\\=6t-4[/tex]

At t = 3 minutes,

a = 6(3) - 4

= 18-4

= 14 m/min²

So, the bike's acceleration after 3 minutes is 14 m/min².

EMERGENCY IF you dont know the answer do not answer IT

Answers

Answer:

[tex]x^2+11x+24[/tex]

Step-by-step explanation:

The area of a rectangle is given by [tex]l\cdot w[/tex]. Plugging in our given values, we get:

[tex]A=(x+3)(x+8)=x^2+8x+3x+24=\fbox{$x^2+11x+24$}[/tex].

This is a polynomial in standard form [tex]\checkmark[/tex]

Answer:

x^2 + 11x + 24

Step-by-step explanation:

x times x is x^2

x times 8 is 8x

x times 3 is 3 x

8 times 3 is 24

add it all together and its x^2 + 11x + 24

Solve the system of equations 4x – 9y = 5 and 8x - y = -7 by combining the
equations.

Answers

Answer:

x=2 and y=0.

Step-by-step explanation:

Answer:

[tex]x=-1,\\y=-1[/tex]

Step-by-step explanation:

We can write the following system of equations as given:

[tex]\begin{cases}4x-9y=5\\8x-y=-7\\\end{cases}[/tex].

Multiply the first equation by [tex]-2[/tex] then add both equations to solve for [tex]y[/tex]:

[tex]\begin{cases}-8x+18y=-10\\8x-y=-7\\\end{cases},\\17y=-17,\\y=\fbox{$-1$}[/tex].

Now plug in [tex]y=-1[/tex] into any equation to solve for [tex]x[/tex]:

[tex]8x-(-1)=-7,\\8x+1=-7,\\8x=-8,\\x=\fbox{$-1$}[/tex].

Verify that the solution pair [tex](-1,-1)[/tex] works [tex]\checkmark[/tex]

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