a bee flies at 12 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 8 feet per second. It is away frim the hive for a total of 16 minutes. what equation can can you use to find the distance of the flowerbed from the hive? How far is the flowerbed from the hive?

Answers

Answer 1

Answer:

(x/12 + 840 + x/8) = 960

576 feets

Step-by-step explanation:

Given that :

Speed to flower bed = 12 ft/s

Speed back to hive = 8 ft/s

Time spent at flower bed = 14 minutes = 14*60.= 840

Total time = 16 mins = (16 * 60) = 960

Let distance between bee hive and flower bed = x

Time taken to flower bed = x / 12

Time taken back to hive = x /8

(x/12 + 840 + x/8) = 960 - - equation

L.C.M of 12 and 8 = 24

(2x + 20160 + 3x)/ 24 = 960

(2x + 20160 + 3x) = 23040

5x = 23040 - 20160

5x = 2880

x = 2880 / 5

x = 576

Distance between flowerbed and hive = 576 feets


Related Questions

Unit : Negative Numbers < Addition & Subraction !! Answer In 20 Minutes !!!

Which Number Represents the expression - 2 + ( - 7/2) ?

Answers

Answer:

-5 1/2

i hope this helps <3

Answer:

[tex]-\frac{11}{2}[/tex] is the number which represents the expression [tex]-2+\left(\frac{-7}{2}\right)[/tex].

i.e.

[tex]-2+\left(\frac{-7}{2}\right)=-\frac{11}{2}[/tex]

Step-by-step explanation:

Given the expression

[tex]-2+\left(\frac{-7}{2}\right)[/tex]

[tex]\mathrm{Remove\:parentheses}:\quad \left(a\right)=a[/tex]

[tex]=-2+\frac{-7}{2}[/tex]

[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{b}=-\frac{a}{b}[/tex]

[tex]=-2-\frac{7}{2}[/tex]

[tex]\mathrm{Convert\:element\:to\:fraction}:\quad \:2=\frac{2\cdot \:2}{2}[/tex]

[tex]=-\frac{2\cdot \:2}{2}-\frac{7}{2}[/tex]

[tex]\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}[/tex]

[tex]=-\frac{2\cdot \:2}{2}-\frac{7}{2}[/tex]

[tex]=\frac{-2\cdot \:2-7}{2}[/tex]

[tex]=\frac{-11}{2}[/tex]

[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{b}=-\frac{a}{b}[/tex]

[tex]=-\frac{11}{2}[/tex]

Therefore, [tex]-\frac{11}{2}[/tex] is the number which represents the expression [tex]-2+\left(\frac{-7}{2}\right)[/tex].

i.e.

[tex]-2+\left(\frac{-7}{2}\right)=-\frac{11}{2}[/tex]

A baker at a bakery had made 20 pastries after 1 hour of work. After 8 hours, he had made 83 pastries. M= ?

Answers

9514 1404 393

Answer:

  9 pastries per hour

Step-by-step explanation:

In the 7 hours after the first, the baker made 83 -20 = 63 more pastries. That rate is ...

  (63 pastries)/(7 hours) = 9 pastries per hour

_____

Additional comment

We have chosen to interpret the question as asking for the slope of a line on a graph of pastries vs. hours. Such a graph would show you the baker started with 11 pastries already made, so didn't actually make 20 in the first hour.

Felicia drew a triangle with side lengths that measured 15
cm, 18 cm and 27 cm. To determine if Felicia drew a right
triangle, she can use the equation:
O A. 15+18= 27
O B. 152 + 272 = 182
O C. 15 + 18 = 27
O D. 182 + 152 = 272

Answers

Answer:

A

Step-by-step explanation:

-x+2y=6 and -x+8y=12 solve by elimination (help please)

Answers

Answer:

Step-by-step explanation:

-x+2y=6

-x+8y=12

_________

-6y = -6 ( subtracting 2 equations)

y=1

x=-4

Someone answer asap please

Answers

Answer:

Yes

Step-by-step explanation:

Answer:

no

Step-by-step explanation: it crosses the x axis two times

find the distance from point A (-1/4,5) to the line -x+2y=14. round your answer to the nearest tenth

Answers

Answer:

543

Step-by-step explanation:

I need the answer ASAP

Answers

Answer:

[tex]p\leq 56[/tex]

Step-by-step explanation:

Plz mark brainliest!

Help plz:))) I’ll mark u brainliest
ASAP!!!

Answers

She is incorrect bc she added 95

Please help thank you so much

Answers

Answer:

No

Step-by-step explanation:

It would work for the bottom equation, but plugging in to the top equation would equal -4>3, which is false.

Answer:

no

when the point is plugged into the first inequality, it does not work therefore it is not a solution

A combination is a grouping where the order of the items in the group does not matter.

True
False

Answers

Your answer is false

To aid in sea navigation, Little Gull Island Lighthouse shines a light from a height of 91 feet above sea level with an unknown angle of depression. If the beam of light shines on the sea surface at a point that is 865 feet away from the base of the lighthouse, what is the angle of depression?

Answers

Answer:

[tex]\approx 6^\circ[/tex]

Step-by-step explanation:

Given that:

Little Gull Island Lighthouse shines a light from a height of 91 feet above the sea level.

The angle of depression is unknown.

Distance of the point at sea surface from the base of lighthouse is 865 ft.

This situation can be modeled or can be represented as the figure attached in  the answer area.

The situation can be represented by a right angled [tex]\triangle ABC[/tex] in which we are given the base and the height of the triangle.

And we have to find the value of [tex]\angle BAD \ or \ \angle C[/tex] (Because they are the internal vertically opposite angles).

Using tangent ratio:

[tex]tan\theta = \dfrac{Perpendicular}{Base}[/tex]

[tex]tanC = \dfrac{AC}{BC}\\\Rightarrow tanC = \dfrac{91}{865}\\\Rightarrow tanC = 0.105\\\Rightarrow \angle C \approx 6^\circ[/tex]

Therefore, the angle of depression is: [tex]\approx 6^\circ[/tex]

2. Are the two expressions
equivalent when x= 5?
9(4x + 2)
36x + 18
Circle one:
Yes
No
Work Space

Answers

Answer:

Hi, I'm new can I get marked as brainlieser? It would be highly appreciated.

Hope my answer helps :)

lets get into answering your question.

Step-by-step explanation:

first sub x into the equation (x=5) [it is already given]

9 ( 4*5 + 2) 36*5 + 18

= 9 (20+2) 180+18

= 9(22) + 198

198+198

= 369

369 makes a circle So YES

it is a circle.

You bake cookies for a bake sale. The ratio of chocolate chip cookies to oatmeal cookies is 7 : 5. You bake 15 oatmeal cookies. How many chocolate chip cookies do you bake?

Answers

Answer:

21

Step-by-step explanation:

[tex]\frac{7}{5}[/tex] = [tex]\frac{x}{15}[/tex]

x = 21 chocolate chip cookies.

There are 21 chocolate chip cookies do you bake.

What is mean by Ratio?

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities.

Given that;

The ratio of chocolate chip cookies to oatmeal cookies is 7 : 5.

And,  You bake 15 oatmeal cookies.

Now,

Since, The ratio of chocolate chip cookies to oatmeal cookies is 7 : 5.

Hence, The amount of chocolate chips = 7x

And, The amount of oatmeal cookies = 5x

Here, You bake 15 oatmeal cookies.

Hence, We get;

The amount of oatmeal cookies = 5x = 15

So, we get;

⇒ 5x = 15

⇒ x = 3

So, The amount of chocolate chips = 7x

                                                      = 7 × 3

                                                      = 21

Thus, There are 21 chocolate chip cookies do you bake.

Learn more about the ratio visit:

https://brainly.com/question/12024093

#SPJ2

A flagpole at a right angle to the horizontal is located on a slope that makes an angle of \large 10^\circ with the horizontal. The flagpole casts a 30-meter shadow down the slope. The angle of elevation from the tip of the shadow to the sun is \large 25^\circ. What is the length of the flagpole to the nearest tenth of a meter?

Answers

Answer:

13.1 m

Step-by-step explanation:

From the diagram attached :

Using Sine rule :

a / sin A = b/Sin B = c / sin C

h / sin 25 = 30 / sin 75

Cross multiply :

h * sin 75 = 30 * sin 25

0.9659258 * h = 30 * 0.4226182

h = 12.678547 / 0.9659258

h = 13.125798

Length of flagpole h = 13.1 m

Answer:15.5

Step-by-step explanation:

A block of cheese measuring 5 inches by 2 inches by 3 inches is coated in a very thin layer of wax. The cheese is sliced into 240 cubes with half-inch edges. How many cubes will not have any wax on them?

Answers

Answer:

64

Step-by-step explanation:

it's 64

8 - 2x + 4 + 8x – 21

Answers

Answer: 6x -9

Step-by-step explanation:

Answer:

6x - 9

Step-by-step explanation:

8 - 2x + 4 + 8x - 21

combine like terms

6x - 9

Example 1: Marcus buys a varsity jacket from a clothing store in Arlington. The price of the jacket is $80 and the sales tax is 8%. What is the total cost of the jacket?

Answers

Answer:

$86.40

80 + 8%= 86.40

Answer:

$86.40..

Step-by-step explanation:

80 + 8%= 86.40

I need 3 more questions

Answers

Answer:

The answer is 88%

Step-by-step explanation:

To find a percentage, just divide the top number by the bottom. 22 divided by 25 is 0.88 which means 22 out of 25 is 88%.

Another way to do it is to multiply both 22 and 25 by 4. The denominator will now equal 100 so now the top number will be the percentage. 22*4 is also 88.

Hope this helped.

For each inequality, determine whether -3 is part of the solution set. (I clicked things on mistake so ignore what I’ve already bubbled in)

Answers

Answer:

Yes, No, No, Yes

Step-by-step explanation:

Hope this helps. Pls give brainliest.

in in the previous activity you solved a system of equations representing the carnival admissions using the elimination method in this activity you will solve the same system using substitution then you'll compare your solution with the solution you obtained in the previous activity by using the elimination method

the two equations from the previous activity are given below

k + a = 500 (1)
3K + 10A equals 3,600 (2)

which equation has at least one of its variables with a 1 as it's coefficient?

Answers

Answer:

The value of a=300 and value of k=200

If you solve the above system of equations by elimination method, you will get the same values of a and k.

In Equation 1 [tex]k+a=500[/tex] both variables k has 1 as their coefficient.

Step-by-step explanation:

We need to solve the system of equations using substitution method

The equation are:

[tex]k + a = 500--eq(1)\\3k + 10a = 3,600 --eq(2)[/tex]

For substitution method, we find value of k from equation 1 and put in equation 2

[tex]From \ eq(1) \ we \ get\\k=500-a[/tex]

Putting it in eq(2)

[tex]3k+10a=3600\\Put \ k=500-a\\3(500-a)+10a=3600\\1500-3a+10a=3600\\7a=3600-1500\\7a=2100\\a=\frac{2100}{7}\\a=300[/tex]

So, we get value of a = 300

Now finding value of k by putting value of a in equation [tex]k=500-a[/tex]

[tex]k=500-a\\Putting \ a \ =500\\k=500-300\\k=200[/tex]

So, we get value of k =200

The value of a=300 and value of k=200

If you solve the above system of equations by elimination method, you will get the same values of a and k.

In Equation 1 [tex]k+a=500[/tex] both variables k has 1 as their coefficient.

Is 45/7 a rational number

Answers

Answer:

yes

Step-by-step explanation:

it comes to an end im so sorry if this is wrong

Answer:

It is irrational, if its not a perfect square. Since 45 is not a perfect square, it is an irrational.

Step-by-step explanation:

f(x) = 6x + 5. Work out, simplifying fully: 2f(x) + 6.

Answers

Replace the f(x) in the second equation will 6x + 5 so then it looks like 2(6x + 5) + 6. Then distribute so it’s 12x + 10 + 6 and then simplify to 12x + 16

Dominic goes jogging every morning. If m represents the number of miles he jogs each day, which expression represents the total number of miles he jogs in a week?
a. 7m
b. 7+m
c. 7-m
d. 7/m

Answers

Answer:

The answer is a: 7m

Step-by-step explanation:

The amount of miles he jogs is m, and there are 7 days in a week. Multiply that, and you'll have your answer.

4 x + 6 < − 6 Help me please

Answers

Answer:

x<-3

Step-by-step explanation:

Let's do this step by step:

1) isolate 4x : 4x<-6-6

2) so then we get : 4x<-12

3) isolate x :  x< -12/4

WHICH GETS YOU TO: x<-3

Answer:

4x + 6 < -6 = x < −3

The value of x = -2 or greater

Maria ha acquistato un libro, scontato del 15%, al prezzo di 34 euro. Dopo avere letto 1/4 delle pagine del libro. Legge 2/3 delle pagine rimanenti e a questo punto le restano da leggere 104 pagine. Determina:

Il prezzo del libro prima dello sconto
Il numero di pagine complessive del libro
La percentuale che rappresenta il numero di pagine che restano da leggere a Maria rispetto al numero di pagine complessivo.

Answers

Answer:

a) 40 euros

b) 416 pages

c) 25%

Step-by-step explanation:

This question can be translated to:

Maria bought a book, discounted by 15%, at the price of 34 euros. After reading 1/4 of the pages of the book. She reads 2/3 of the remaining pages and at this point, she has 104 pages left to read. Determine:

a)  The price of the book before the discount

b) The total number of pages in the book

c) The percentage that represents the number of pages that Maria has left to read out of the total number of pages.

I will answer in English.

a) If P is the price of the book, with a discount of the 15% the price will be:

P' = P - P*(15%/100%) = P - P*0.15 = P*0.85

and P' = 34 eur

34 eur = P*0.85

34 eur/0.85 = 40 eur = P

The original price was 40 euros.

b) Now suppose that the book has N pages.

First, she reads 1/4 of the pages, then we have:

N - (1/4)*N =  (3/4)*N pages left.

Then she reads (2/3) of the remaining (3/4)*N pages.

Then there are:

(3/4)*N - (2/3)*(3/4)*N = (1/3)*(3/4)*N = (1/4)*N

And we know that at this point, there are 104 pages left, then:

104 = (1/4)*N

104*4 = N = 416

c) The total number of pages is 416, this is the 100%

there are 104 pages left in the book, this will represent X%, and we want to find the value of X.

then:

416 = 100%

104 = X%

Let's take the quotient of those two equations:

(416)/(104) = (100%/X%)

Now let's isolate X%.

X% = (104/416)*100% = 0.25*100% = 25%

what is the solution to 2/3a - 1/6 = 1/3

Answers

The solution would be: a = 3/4

Answer:

Step-by-step explanation:

a=3/4

A line passes through point (-10, – 4) and has a slope of -3/2

Write an equation in Ax+By=C form for this line.
Use integers for A, B, and C.

Answers

9514 1404 393

Answer:

  3x +2y = -38

Step-by-step explanation:

When a point and the slope are given for a line, the point-slope form of the equation is useful.

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

  y -(-4) = -3/2(x -(-10))

  y + 4 = -3/2x -15

Multiplying by 2 gives ...

  2y +8 = -3x -30

Adding 3x-8, we get ...

  3x +2y = -38

Answer:

3x + 2y = -38

Just plug in the x and y values to get the answer!

We already know that when x is -10 y = -4 so all we have to do is substitute them.

y = mx + b

-4 = -3/2(-10) + b

-4 = 30/2 + b

-4 = 15 + b

-19 = b

The model was shaded two different ways to show a product.

A fraction bar divided into 8 parts. 6 parts are shaded blue and 4 parts are shaded pink."it's a pitcher"
Which product is shown by the model?

1.One-half × One-eighth
2.One-half × One-fourth
3.One-half × Three-eighths
4.One-half × Three-fourths

Answers

Awnser: 4. 4/8 simplified=1/2 6/8 simplified=3/4.

Answer:

c

Step-by-step explanation:

i got irt right on the test

A club has 800 members.
100 of the members were randomly picked and were asked if the dues should be raised.
6 of the members said that dues should be raised.
Based on these results, about how many members in the club would be expected to say that dues should be raised? HELP

Answers

Answer:

48

Step-by-step explanation:

800/100=8.

6/100 said yes. so 6*8 which is 48.

Hope this helps plz hit the crown :D

PLS HELP THIS IS IMPORTANT OFFERING 20 POINTS
The exponential function f intersects the x-axis at the point (2,0) and intersects the y-axis at the point (0,-5.25)

If g(x) = 3x - 2, which statement is true over the interval [0, 2]?

A.
The average rate of change of g is equal to the average rate of change of f.
B.
The average rate of change of g is greater than the average rate of change of f.
C.
The average rate of change of f cannot be determined using the information given.
D.
The average rate of change of g is less than the average rate of change of f.

Answers

Answer:

A.

Step-by-step explanation:

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