A bee flies at 15 feet per second directly to a flowerbed from its hive. The bee stays at the flowerbed for 14 ​minutes, and then flies directly back to the hive at 9 feet per second. It is away from the hive for a total of 16 minutes. A. What equation can you use to find the distance of the flowerbed from the​ hive? B. How far is the flowerbed from the​ hive?

Answers

Answer 1

9514 1404 393

Answer:

  A) d/900 +14 +d/540 = 16

  B) 675 feet

Step-by-step explanation:

A) The times are all given in minutes, so it is convenient to use units of feet and minutes in this problem. There are 60 seconds in a minute, so the bee's speeds can be rewritten as ...

  15 ft/s = (15 ft/s)(60 s/min) = 900 ft/min

  9 ft/s = (9 ft/s)(60 s/min) = 540 ft/min

We know that time is the ratio of distance to speed, so for distance d, we have a total time of ...

  d/900 +14 +d/540 = 16

B) To solve the equation, we can subtract 14, then combine the fractions. Here, we choose to combine the fractions in a straightforward way, not being too concerned about "least common denominator." We use the formula ...

  a/b + c/d = (ad +bc)/(bd)

  (540d +900d)/(900·540) = 2 . . . . subtract 14, combine fractions

  d = 2(900)(540)/(1440) = 675

The flowerbed is 675 feet from the hive.


Related Questions

Find the height of a cone with a diameter of 12 m whose volume is 264 m
Use 3.14 for I and round your answer to the nearest meter.
-
12 m
A. 2 m
B. 42 m
C. 6 m
D. 7 m

Answers

Answer:

7

Step-by-step explanation:

1/3x6x6x3.14

12.3.14

264/37.68

7

The height of cone is 7 m

what is height of cone?

A cone is a three-dimensional shape, formed by using a set of line segments or the lines which connect at a common point, to all the points of a circular base.

The cone height formula helps in calculating the distance from the vertex of the cone to the cone's base. The height of the cone can be calculated using either the volume of cube and radius or with slant height and radius of the cone.

Cone Height Formula for Cone can be expressed as,

Formula 1: h = 3V/πr2

where,

V = Volume of the cone

r = Radius of the cone

This formula is derived from the formula of the volume of a cone.

Given:

d= 12 m

Volume = 264 m.

volume = πr²h

264= 1/3x6x6x3.14 * h

264 = 37.68 * h

h= 264  / 37.68

h= 7 m

Learn more about volume here:

https://brainly.com/question/1984638

#SPJ2

Need answer for this.

Answers

Answer:

The equation of the line is y = (5/2)x + 5.

Step-by-step explanation:

When both line are parallel, they share the same gradient value so the equation will be y = (5/2)x + b. Next, you have to find the value of b, by substituting the coordinates into the equation :

y = (5/2)x + b

let x = -2, y = 0,

0 = (5/2)(-2) + b

0 = -5 + b

b = 5

Answer:

y=5/2x+5

Step-by-step explanation:

Since both lines are parallel they have the same slope. From y=5/2x+1, the slope is 5/2

The equation of the line passing through (-2,0) using slope intercept form is

y-y1=m(x-x1)

y-0=5/2(x--2)

y=5/2(x+2)

y=5/2x+5

. Shaniqua can read at a speed of 50 pages per hour. She reads 275 pages one weekend. How many hours does she read? PLZ HELP AND ADD WORK

Answers

Answer:

5 and a half hours

Step-by-step explanation:

How many times does 50 go in to 275

1. 50

2. 100

3. 150

4. 200

5. 250

and to get 275 you add half of 50 which is 25

Answer:

5 hours and 30 minutes.

Step-by-step explanation:

5x50=250

remainder 25

half of an hour is 30 mins and half of 50 is 25.

therefore; add the 5h and 30m to get 5h30m

what's the y intercept of y=3x+2

Answers

Answer:

2

Step-by-step explanation:

insert 0 for x

A gardener measures the heights of 2 plants at the end of every week. The function y=3x+8.5 of plant A in centimeters at the end of x weeks. The function y=2.5x+14.5 gives the height of plant B in centimeters at the end of x weeks.

Answers

Answer: Plant A and plant B will be the same height at the end of week 12.

Step-by-step explanation: You don't care about this

Can someone explain how to solve this?

Answers

Answer:

here you go. hope this helps!

show the graph of -3x + 10

Answers

Answer:

7

Step-by-step explanation:

Answer:

Step-by-step explanation:

-3x+10

To graph:

Plot points at (0,10) and (10/3,0) and draw the line.

What is the slope indicated in the table below?*

X. 8 6 4 2
Y. 2 4 6 8

Answers

Answer:

-1

Step-by-step explanation:

in order to find the slope you need to look at the change in x over the change in y. x is decreasing by 2 every time, and y is increasing by 2. you now have -2/2 simplify and you get -1

If f(x)=x2-x, what is f(-5)

Answers

Answer:

-5

Step-by-step explanation:

f(x)=x2-x

f(-5)=(-5)2-(-5)

f(-5)=-10-(-5)

f(-5)= -5

Line b has a slope of 9/7 .Line c has a slope of 9/7. Are line b and line c parallel or perpendicular?

Answers

Answer:

Parralel lines have equal slopes. Perpendicular lines have inverse opposite slopes. For exampl 2 and -1/2 are perpendicular.

Parralel is your answer

Step-by-step explanation:

Y=-5/8x+3/2 in standard form

Answers

Answer:

y=0.625

Step-by-step explanation:

Answer:

Sorry about the way it is, I don't know how to fix it But I hope you can try and understand it.

Step-by-step explanation:

y

=

3

8

x

3

4

in standard form is

3

x

8

y

=

6

.

Explanation:

Standard form for a linear equation is

A

x

+

B

y

=

C

.

y

=

3

8

x

3

4

Simplify

3

8

x

to

3

x

8

.

Subtract

3

x

8

from both sides of the equation.

3

x

8

+

y

=

3

4

Multiply both sides by

1

.

3

x

8

(

1

)

+

y

(

1

)

=

3

4

(

1

)

=

3

x

8

y

=

3

4

Multiply both sides by

8

.

(

3

x

)

8

8

y

(

8

)

=

(

3

)

8

4

=

(

3

x

)

8

1

8

1

y

(

8

)

=

(

3

)

8

2

4

1

=

3

x

8

y

=

6

2y² - 9y - 2 + 4 (y + 1) =​

Answers

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[tex]2 {y}^{2} - 9y - 2 + 4(y + 1) = [/tex]

[tex]2 {y}^{2} - 9y - 2 + 4y + 4 = [/tex]

[tex]2 {y}^{2} - 9y + 4y - 2 + 4 = [/tex]

Collect like terms

[tex]2 {y}^{2} - 5y + 2 = [/tex]

[tex](2y - 1 )(y - 2)[/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Answer:

2y² - 5y + 2

Step-by-step explanation:

Original equation:

2y² - 9y - 2 + 4(y + 1) =​

Use distributive property

4 · y = 4y

4 · 1 = 4

Plug these values back into the equation:

2y² - 9y - 2 + 4y + 4 = ?

Combine like terms

2y² - 5y - 2 + 4

Combine more like terms

2y² - 5y + 2

That is the most simplified version

Hope this helps :)

Please consider Brainliest :)

..................... ​

Answers

Answer:

sorry you questions is no clear

This table represents the altitude change in meters, m, as a hiker hikes down a mountain in h hours. When graphed, all of the points in the table lie on the same line. What is the slope and y-intercept of the line? Drag and drop the slope and y-intercept into the corresponding boxes. Slope y-intercept Hours, h Altitude in meters, m 0 1020 2 680 4 340 6 0

Answers

Answer:

Slope = -170 y-intercept =1020

Step-by-step explanation:

From USATP right?:)Tell me if it's right...

can someone please help and explain ​

Answers

Answer:

Im not sure how you are supposed to answer this but they are similar by side angle side

Step-by-step explanation:

We are given that NO/OQ=PO/OM

This tells us that the sides are in a ratio.

We also know that angle NOM is equal to angle POQ

Now we have 2 sides and 1 angle thus they are similar by side angle side

I hope this helps you come up with your statements and reasons

Answer:

I think the answer is scalpel porators

Step-by-step explanation:

what is the answer ​

Answers

Answer:

-5,5

Step-by-step explanation:

anna is working two summer jobs, making $11 per hour tutoring and $15 per hour clearing tables. anna must earn at least $230 this week. write an inequality that would represent the possible values for the number of hours tutoring, t, and the number of hours clearing tables, c, that anna can work in a given week​

Answers

Answer:

Step-by-step explanation:

Money earned by tutoring for 't' hours = 11 * t = 11t

Money earned by clearing tables for 'c'hours = 15 * c = 15c

11t + 15c ≥ 230

Can somebody plz answer these questions if u done it before thx!

WILL MARK BRAINLIEST WHOEVER ANSWERSS

Answers

Answer:

Step-by-step explanation:

23.) 0.29

24.) 0.32

25.) 0.04

26.) 0.73

27.) 0.65

28.) 0.88

(Excuse me, but what grade are you in?)

Answer:

23. 0.29 Dollars

24. 0.32 Dollars

25. 0.04 Dollars

26. 0.73 Dollars

27. 0.65 Dollars

28. 0.88 Dollars

Step-by-step explanation:

Fundamental Method ==>

[tex]1 \times \frac{percentge}{100} [/tex]

By Z.Khan

A small town has two local high schools. High School A currently has 850 students and is projected to grow by 35 students each year. High School B currently has 700 students and is projected to grow by 60 students each year. Let AA represent the number of students in High School A in tt years, and let BB represent the number of students in High School B after tt years. Write an equation for each situation, in terms of t,t, and determine after how many years, t,t, the number of students in both high schools would be the same.

Answers

An equation for each situation, in terms of t, is y = 850e^35t and

y = 700e^70t

The required equation will be in the form y = Ae^kt

where:

k is the growth constantA represents the number of students in High School A in t years.B represents the number of students in High School B after t years.

If High School A currently has 850 students and is projected to grow by 35 students each year, hence;

A = 850k = 35 (growth factor)

Substituting into the formula, we will have:

y = 850e^35t

If High School B currently has 700 students and is projected to grow by 60 students each year, hence;

A = 700k = 60 (growth factor)

Substituting into the formula, we will have:

y = 700e^70t

An equation for each situation, in terms of t, is y = 850e^35t and

y = 700e^70t

Learn more on exponential function here: https://brainly.com/question/12940982

The senior classes at High School A and High School B planned separate trips to the local amusement park. The senior class at High School A rented and filled 13 vans and 5 buses with 370 students. High School B rented and filled 12 vans and 10 buses with 600 students. Every van had the same number of students in it as did the buses. Find the number of students in each van and in each bus.


please show you work

Answers

Answer:

10 students/van

48 students/bus

Step-by-step explanation:

(a) 13v+5b = 370

(b) 12v+10b = 600

(a) - (b)

v -5b = -230

v = 5b-230

12(5b-230) + 10b = 600

60b+10b -2760=600

70b=3360

7b=336

b=48

v = 5(48) - 230 = 10

v = 10

Let's check

12(10) +10(48) = 600

A linear function always has a _______? What is the blank

Answers

Answer:

i bellive the answer is a function

Step-by-step explanation:

Theratiooftheredcardstoblackcardsinadeckis3:10 2 more red cards are added to the deck.
The ratio of red cards to black cards is now 1:3 Work out the number of black cards in the deck.

Answers

Cant solve this question

Debra Goforth's savings account shows a balance of $904.31 on March
1st. The same day, she made a deposit of $375.00 to the account. She
also made deposits of $500.00 on April 1st and May 1st. The bank pays
interest at a rate of 5.5 percent compounded daily. What will be the
amount in her account on May 29?

Answers

Answer:

Debra Goforth's savings account shows a balance of $904.51 on March 1. The same day, she ... of $904.51 on March 1. The same day, she made a deposit of $375.00 to the account. She also made deposits of $500.00 on April 1 and May 1. The bank pays interest at a rate of 5.5 percent compounded daily.

Step-by-step explanation:

Hope this helps!

i don't really know what to do but answers help thx ​

Answers

Answer:x=40

Step-by-step explanation: the other side is 40 and its a triangle same angles so other side is 40 too.

Answer:

55

Step-by-step explanation:

x + 40 + 85 = 180

40+85= 125

180-125= 55

Eukaryotes have a nucleus, and prokaryotes have a nucleoid. (4 points) True False

Answers

Answer:

false

Step-by-step explanation:

prokaryotes dont have any nucleous or nuclieiod

Answer:

TRUE

Step-by-step explanation: Prokaryotic cells dont have a  nucleus that contains their genetic material as eukaryotic cells do, instead they have a nucleoid region, which is an irregular-shaped region that contains the cell’s DNA.

someone please help
i will give brainliest

Answers

Answer:

its -18 going to the right closed circle

Step-by-step explanation:

Answer: r >_ (greater than or equal to) -18

Step-by-step explanation:

You would place it on -18 :)

You’re welcome :)

Find the product.
(x² – 2x – 4) (x² – 3x – 5) =

Answers

x^2 * x^2 - 3x^2 * x-5x^2 - 2x^2x + 2 * 3xx + 2 * 5x -4x^2 + 4 * 3x + 4 * 5
Simplify
X^4 - 5x^3 - 3x^2 + 22x + 20

An angle measures 12° less than three times it’s supplement. Find the measure of the angle

Answers

Answer:

132 degrees.

Step-by-step explanation:

Let the supplement be x and the angle be y.

x + y = 180 degrees.

y = (3x - 12) degrees.

x + 3x - 12 = 180

4x = 192

x = 48 degrees

y = 132 degrees

Hope this helped!



Last summer, the Smith family drove through seven different states and visited various popular landmarks. The prices of gasoline in dollars per gallon varied from state to state and are listed below.

$2.26, $2.57, $2.30, $3.40, $2.69, $2.35, $3.13

Calculate the range of the price of gas. Give your solution to the nearest cent.
dollars per gallon
range:

Answers

3.40-2.26=1.14
There is a range of $1.14 in total

Find the value of x given m (I need a lot of help)

Answers

Answer:

x=7

Step-by-step explanation:

m angle SAR = m angle SQR (angles lying in the same segment of a circle are always equal)

that's why

7x+7=9x-7

9x-7x= 7+7

2x= 14

x=7

Answer:

x=7

Step-by-step explanation:

Given that measure of angle SAR= measure of angle SQR

7x+7=9x-7

-2x=-14

x=7

CHECK:

7(7)+7=56

9(7)-7=56

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