A bird leaves its nest and travels 20 miles per hour downwind for x hours. On the return trip, the bird travels 4 miles per hour slower and has 6 miles left after x hours.

a. What is the distance of the entire trip?

miles

b. How long does the entire trip take?

hours
minutes and
seconds

Answers

Answer 1

Answer:

The correct answers are:

A) 60 miles; and B) 3.375 hours.

Explanation:

We will use the equation d = rt for this.

For the first leg of the trip, the bird travels 20 miles per hour for x hours.  This gives us the equation

d = 20x

For the return trip, the bird travels 4 miles per hour slower, so 20-4 = 16 miles per hour.  He also travels 6 miles less than the return distance, for x hours:

d-6 = 16x

To isolate d, we will add 6 to each side:

d-6+6 = 16x+6

d = 16x+6

We will set the two equations equal to one another, since they both equal d:

20x = 16x+6

Subtract 16x from each side:

20x-16x = 16x+6-16x

4x = 6

Divide both sides by 4:

4x/4 = 6/4

x = 1.5

He travels for 1.5 hours both times.

The first time, 1.5 hours at 20 miles per hour is:

d = 1.5(20) = 30 miles

The original trip is 30 miles.  This makes the entire trip 30(2) = 60 miles.

On the return trip, he travels 30-6 = 24 miles at 16 miles per hour:

24 = 16x

Divide both sides by 16:

24/16 = 16x/16

1.5 = x

If he goes 24 miles in 1.5 hours at 16 miles per hour, we can use a proportion to find the time it takes for the entire return trip:

24/1.5 = 30/x

Cross multiplying,

24*x = 1.5(30)

24x = 45

24x/24 = 45/24

x = 1.875

This gives him a total time of 1.5+1.875 = 3.375 hours

Step-by-step explanation:


Related Questions

How I can answer this question, NO LINKS, if you answer correctly I will give u brainliest!

Answers

Answer:

It is the first one.

please help me figureout 4y+x=8

Answers

the answer is
x+4y=8

View Example
After a power fallure, the temperature in a freezer increasettat an average rate of 3.5°F per hour. The total
Increase was 17.5°F. Enter and solve an equation to find the number of hours until the power was
restored. Let x represent the number of hours it takes for the temperature to increase to 17.5°F.
Step-by-step
Video Tutor
The equation to find the number of hours until the power was restored is
Textbook
Print
The number of hours until the power was restored
is
hours
Turn it in
e Save & Close
Question 6 of 6
✓ Check Answer

Answers

Answer:

a b c d e f g h i j k l m n o p q r s t u v w x y z

Step-by-step explanation:

yoooooooooooooooooooooooooooo

There are fewer than 30 students in the A-level mathematics class. One half of them
play the piano, one quarter play hockey and one seventh are in the school play.
How many of the students play hockey?

Answers

The number of students that play hockey is 7

The proportion is given as:

[tex]Piano =\frac 12[/tex]

[tex]Hockey =\frac 14[/tex]

[tex]School\ Play =\frac 17[/tex]

The total number of students must be a multiple of 2, 4 and 7 less than 30;

The only multiple of 2, 4 and 7 less than 30 is 28.

The number of students that play hockey is the product of 28 and the proportion that plays hockey.

So, we have:

[tex]Hockey =\frac 14 \times 28\\[/tex]

Multiply

[tex]Hockey =7[/tex]

Hence, 7 students play hockey

Read more about common multiples at:

https://brainly.com/question/290451

numbers that equal to 39

Answers

Answer:

1 , 3 , 13 , and 39

Step-by-step explanation:

1 x 39 =39

3 x 13 = 39

13 x 3 = 39

39 x 1 =39

Answer:

Step-by-step explanation:

The product 3*13 equals 39.  This is in addition to the identity 1*39 = 39.

Which of the following is in the range of the function based on the input-output table below?

Answers

Answer:

A.

Step-by-step explanation:

The answer is A because first:

1. we are looking for y so B and D are off the table

2. It goes from least to greatest so C is also gone

3. You are left with A

Answer:

A

Step-by-step explanation:

The range is the y value.

In this table the y value is pay per month.

NEED HELP ASAP 40 POINTS GEOMETRY QUESTION PLEASE GIVE FULL ANSWER!!!Which of the lines listed below is perpendicular to the line with the equation ​

Answers

Answer:

Step-by-step explanation

Jacob says that (12 + 31) × 5 is
equivalent to 12 + 31 x 5 because of the
associative property.
Describe the associative property
in words.
Determine if Jacob is correct. Justify
your answer.

Answers

Answer:

Step-by-step explanation:

the associative property means that when you are adding OR multiplying you can group the numbers however you want

Jacob is wrong because (12 + 31) x 5 = 215 and 12 + 31 x 5 = 167

The associative property is when an equation can be rearranged without changing the answer.
Jacob is incorrect.
(12+31)x5=215
Because of PEMDAS, parenthesis are the first thing you have to solve for. 12+31=43. 43x5=215.
12+31x5=167
You would have to do 31x5 first because of PEMDAS, multiplication comes before addition. 31x5=155. 12+155=167.

Find y such that the slope between (2, y) and (5, -3) is 7.​

Answers

Answer:

y= -24

Step-by-step explanation:

since the slope is 7 the value of y should decrease as the value of x decreases. and since you went back 3 on the x, you should go down 21 on the y resulting in -3-21 which is -24

what is the answer to 5x+1=3x+7

Answers

Answer:

Step-by-step explanation:

5

+

1

=

3

+

7

5x+1=3x+7

Solve

1

Subtract  

1

1

from both sides of the equation

5

+

1

=

3

+

7

5x+1=3x+7

5

+

1

1

=

3

+

7

1

5x+1{\color{#c92786}{-1}}=3x+7{\color{#c92786}{-1}}

2

Simplify

Subtract the numbers

Subtract the numbers

5

=

3

+

6

5x=3x+6

3

Subtract  

3

3x

from both sides of the equation

5

=

3

+

6

5x=3x+6

5

3

=

3

+

6

3

5x{\color{#c92786}{-3x}}=3x+6{\color{#c92786}{-3x}}

4

Simplify

Combine like terms

Combine like terms

2

=

6

2x=6

5

Divide both sides of the equation by the same term

2

=

6

2x=6

2

2

=

6

2

\frac{2x}{{\color{#c92786}{2}}}=\frac{6}{{\color{#c92786}{2}}}

6

Simplify

Cancel terms that are in both the numerator and denominator

 

Solution

=

3

the answer is x = 3

whats 5 plus 6, i cant find out, its hard

Answers

5+6= 11 , good luck

Answer:

its 11

Step-by-step explanation:

because when you add 6 and 5 your answer will be 11 and its very easy and clear

The grass in Jamie's yard grew 16 centimeters in 10 days. It was growing at a constant rate.How many days did it take the grass to grow 1 centimeter?How many centimeters did the grass grow in 1 day

Answers

Answer:

Step-by-step explanation:

16 cm / 10 days = 1.6 cm/day

10 days / 16 cm = 0.625 days/cm

What’s the missing angle of 121 and 29

Answers

Answer:

I am going to guess that shape you are trying to find is an triangle

30˚

Step-by-step explanation:

A triangle angle is 180˚

So add 121 and 29

Which is 150

180 - 150 which is 30

So the missing angle is 30˚

Hope this helps!

Help, please! I need this done for my finals.

Answers

Answer:

First one is yes second one is yes 3 one is yes 4 one is yes and first one is a repeating decimal

Step-by-step explanation:

Also sorry if it's wrong but I tried also hope u have a great day!

Find the coefficient of z^3 in -7xy^2z^3

Answers

Answer:

z^3 in -7xy^2z^3 = -117649/1 = -117649

Step-by-step explanation:

I think sorry if wrong

Jane wrote all the natural numbers from 1 to 12. including 1 and 12.

how many numbers did Jane write?

Answers

Answer:

12 numbers

Step-by-step explanation:

1,2,3,4,5,6,7,8,9,10,11,12

Given a parabola with the
vertex located at (-2,5) and there
is another point on the parabola
located at (3,7), What is the
equation of the parabola in Vertex
form?

Answers

Answer:

The equation is 2/25(x + 2)^2 + 5.

Step-by-step explanation:

WE can write the vertex form as

y = a(x - b)^2 + c     where a is some constant and (b, c) are the coordinates of the vertex.

So here we have:

y = a(x + 2)^2 + 5

As (3, 7) is a point oin the curve:

7 = a(3 + 2)^2 + 5

7 = 25a + 5

a = 2/25.

Can u please help me solve this much appreciated

Answers

Answer: 10

Explanation:

If n = 7:

Substitute n for 7.

5(7 - 5)
(5)(2)
10
5(n - 5), if n = 7, Plug it into the equation; 5(7 - 5)
5 • 7 - 5
35 - 5
Answer: D

How do I find a solution in an equation

Answers

Answer:

How to find a solution in an equation:

(1) Substitute the number for the variable in your equation,

(2) Simplify the expressions on both sides of your equation and

(3) Determine whether the resulting equation is true. If it is true, the number is a solution. If it is not true, the number is not a solution.

Step-by-step explanation:

If any questions, please ask them below.

If you have no questions, please have a great rest of your day/night!

We have 4 ways of solving one-step equations: Adding, Substracting, multiplication and division. If we add the same number to both sides of an equation, both sides will remain equal. If we subtract the same number from both sides of an equation, both sides will remain equal.

How I can answer this question, NO LINKS, if you answer correctly I will give u brainliest!

Answers

Answer: 54 words does Rachel type per minute

Step-by-step explanation:

Rachel types 162 words in 3 minutes Rachel types at a constant rate.

We have to find how many words does Rachel type per minute.

By definition of unit rate: all we do is divide 162 by 3 which gives us 54

Answer:

54 words per minute

Step-by-step explanation:

In 3 minutes Rachel types 162 words

Then

In 1 minutes,Rachel types 162÷3 words

In 1 minutes Rachel types 54 words

.

. . Rachel types 54 words per minute

please help me asapppp


ty :)

Answers

Answer:

C. 3

y = 3x - 4

Step-by-step explanation:

y = 3x - 2

Slope stays 3 because they are parallel.

y - 5 = 3(x - 3)

y - 5 = 3x - 9

y - 5 + 5 = 3x - 9 + 5

y = 3x - 4

Step-by-step explanation:

y= 3x-4

hopefully that is helpful

How to to it with step by step explanation

Answers

[tex]15^{5} \div 15 ^{7} [/tex]

Whenever the bases are same, powers are different and there is a division sign between them, The powers are subtracted.[tex]a ^{m} \div a ^{n} = a ^{m - n} [/tex]

[tex]15 ^{ 5 - 7} [/tex]

[tex]15 ^{ - 2} [/tex]

[tex] \tt \: alternate \: from : \\ \frac{1}{15 ^{2} } [/tex]

Prism A and Prism B have the same volume. Which could be the dimensions of Prism B?
Prism A:
length = 8 feet
width = 4 feet
height = 5 feet Prism B:
length=? feet
width=? feet
height=? feet

Answers

Answer:

length = 20 ftwidth = 20 ftheight = 0.4 ft

Step-by-step explanation:

The volume of Prism A is ...

  V = LWH

  V = (8 ft)(4 ft)(5 f) = 160 ft³

Any set of dimensions that have a product of 160 ft³ will give a prism with the same volume. You could have, for example, ...

  length = 20 ft

  width = 20 ft

  height = 0.4 ft

Step-by-step explanation:

We know that

Volume of prism = lwh

=> 8 × 4 × 5

=> 32 × 5

=> 160 ft³

So,

The possible length, height and width could be

Length = 10 ft

Breadth = 8 ft

Height = 2 ft

why didnt lawrenece fishburn play morpheus in matrix 4 reddit

Answers

Answer:

I'm confused about your question can you explain?

Which compound inequality is represented by the graph?

Answers

Answer:

A

Step-by-step explanation:

Since the shaded region on the right is greater than or equal to 3, and the shaded region on the left is less than -4 (since numbers decrease as the arrow moves towards the left on the number line).

There are 10 pens in a box. There are x red pens in the box. All the other pens are blue. Jack takes at random two pens from the box. Find an expression, in terms of x, for the probability that Jack takes one pen of each colour. Give your answer in its simplest form.​

Answers

The probability that one of each color is selected is [tex]\frac{10x - x^2}{45}[/tex]

Probabilities

The probability of an event is the chances of the said event

The given parameters are:

Total  = 10Red = xBlue = 10 - x

Calculating the required probability

The probability that one of each color is selected is calculated as follows:

[tex]P = P(Blue) \times P(Red) + P(Red) \times P(Blue)[/tex]

So, we have:

[tex]P = \frac{10 - x}{10} \times \frac{x}{9} + \frac{x}{10} \times \frac{10 - x}{9}[/tex]

This gives

[tex]P = \frac{x(10 - x)}{90} +\frac{x(10 - x)}{90}[/tex]

Take LCM

[tex]P = \frac{2x(10 - x)}{90}[/tex]

Simplify the above expression

[tex]P = \frac{x(10 - x)}{45}[/tex]

Expand

[tex]P = \frac{10x - x^2}{45}[/tex]

Hence, the probability that one of each color is selected is [tex]P = \frac{10x - x^2}{45}[/tex]

Read more about probabilities at:

https://brainly.com/question/7965468

what is10 + 9

i really dont know

can someone help me

Answers

[tex] \huge \green{ \boxed{ANSWER}}[/tex]

[tex]10 \: + \: 9 \: = {\boxed{19}}[/tex]

USE CALCULATOR -_-

[tex] \mathfrak{JazmineChoi}[/tex]

STAN TREASURE

Answer:

19

Step-by-step explanation: 10 +9 = 19

Which expression has been solved with the following number line?

Answers

Answer:

Step-by-step explanation:

Add 116 to 123 and then subtract it by the larger number and 323

please help what is 4.651-50.3

Answers

Answer: 2604-150=2454

Simplify 2^3 x 2^18 ​

Answers

Answer:

2^21

Step-by-step explanation:

3+18=21

Answer:

2/27

Step-by-step explanation:

Here is me work:

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