Write the equation to go with the given information.
8) A bee flies at a rate of 8ft/sec directly to a
flowerbed from its hive. The bee stays at
the flower bed for 1200 seconds, then flies
directly back to the hive at 4ft/sec. It is
away for 2800 seconds. What equation can
you use to find the distance of the flowerbed
to the hive.

Answers

Answer 1

Answer:

Equation is;

(D/8) + (D/4) = 1600

D = 4266.67 ft

Step-by-step explanation:

We are told that the bee flies at a rate of 8ft/sec directly to a flowerbed from its hive. Thus,

speed during this stage is; v1 = 8ft/sec

Time during this stage is; t1

The bee stays at the flower bed for 1200 seconds.

Thus, time at this stage is; t2 = 1200 s

It flies directly back to the hive at 4ft/sec.

Speed at this stage; v2 = 4 ft/s

Time at this stage; t3

We are told that it was away for a total of 2800 seconds.

Thus; t1 + t2 + t3 = 2800

Since t2 = 1200 s, then;

t1 + 1200 + t3 = 2800

t1 + t3 = 2800 - 1200

t1 + t3 = 1600

Now, during time t1, the speed was 8ft/sec, since distance is equal to speed × time, then we have;

D = 8t1

t1 = D/8

During time t3, the speed was 4ft/sec. Thus; D = 4t3

t3 = D/4

Thus,since t1 + t3 = 1600

Then;

(D/8) + (D/4) = 1600

Multiply through by 8 to get;

D + 2D = 1600 × 8

3D = 12800

D = 12800/3

D = 4266.67 ft


Related Questions

Consider this quadratic expression.

x² – 10x + c + 11 – c

What value of c is needed to complete the square for this expression?
A. 10
B. 20
C. 25
D. 100

Answers

Answer:

c = 25

Step-by-step explanation:

Given this quadratic expression.

x² – 10x + c = 0

We are to find the value c that will make the expression a perfect square'

Using the completing the square method

Add the square of the half of coefficient of x

Coefficient of x = -10

Half of -10 = 1/2(-10) = -5

Square of -5 = (-5)^2 = 25

Hence the value of c to complete the expression is 25

I need help please help
Me

Answers

Answer:

Step-by-step explanation:

X=6

What are the coordinates of points a
(-4,3)
(3,-4)
(-3,-4)
(-4,-3)

Answers

The answer is (-4, -3)

What is the measure of 21?
13
126°
A
54°
B.
440
36°
126°

Answers

Answer:

<1 =126

Step-by-step explanation:

<2 = 126 since they are vertical angles

<1 = <2 since they are alternate interior angles

<1 =126

what are the coordinates of point h?​

Answers

-1,3 that’s easy u should definitely pay attention in class

Answer:

(-1.5, 3) are the coordinates of point h

Roberto has a certain number of songs on his MP3 player.
Each week, he plans to add 4 more songs. After 5 weeks, he
had 40 songs on his MP3 player. Which statement is true?
A. Roberto adds 5 songs on his MP3 player per week.
B. Roberto adds 10 songs on his MP3 player per week.
C. The initial number of songs on Roberto’s MP3 player is 10.
D. The initial number of songs on Roberto’s MP3 player is 20.

Answers

a

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

I’ve done this math I know I am right!

can someone please teach me how to find the value of x ?

Answers

Answer:

The value of x is approximately 13.58

Step-by-step explanation:

Isabella earns interest at an annual rate of 10% compounded annually on her savings account. She deposits $2,000 into her account. What is the total amount of money Isabella will have in her account after 2 years? (Use the formula to calculate compound interest

Answers

2420 after two years.

2000x.1
200 add 2000+200 then
2200x.1
220 add 2200+220
2400.

Enter 72% as a fraction in the simplest form

Answers

Answer:

18/25

Step-by-step explanation:

72% = 72/100

72/100 simplified

=18/25

it would be 72/100 but then simplified to 36/50 but then simplified again to be 18/25

What is 1(y), when y= -5/8
A. -5/8
B. 5/8
C. 3/8
D. -8/5

Answers

Answer: A

1(y) will still equal -5/8

we know y = -5/8

1 x -5/8 = -5/8

answer is a

I am struggling!! Help!!

Answers

Answer:

facts

Step-by-step explanation:

Answer:

[tex]y= 9/4x+5[/tex]

Step-by-step explanation:

I'll go over #7 and you should be able to do the rest.

Slope intercept form general equation is:

y = mx + b

I bolded the value you need to change/find.

m is the slope

b is the y-intercept

You can calculate m using:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

you're given (-4,-4) and (0,5) so y₂=5, y₁=-4, x₂=0, x₁=-4

[tex]m=\frac{5-(-4)}{0-(-4)}=9/4[/tex]

Plug your value into the point-slope formula.

[tex]y = m(x-x_1)+y_1[/tex]

[tex]y = (9/4)(x-(-4))+(-4)[/tex]   simplify it

[tex]y= 9/4x+5[/tex]  the simplified form is the slope-intercept formula

Write the correct name for each of the following polygons.

Answers

Answer:

a. Pentagon (The figure has 5 sides.)

b. Triangle (The figure has 3 sides.)

c. Hexagon (The figure has 6 sides.)

d. Hexagon (The figure has 6 sides.)

Step-by-step explanation:

PH

A phone company offers two monthly plans. Plan A costs $21 plus an additional $0.09 for each minute of calls. Plan B has no initial fee but costs $0.13 for each minute of calls.

For what amount of calling do the two plans cost the same?
minutes
What is the cost when the two plans cost the same?
$

Answers

Answer:

525; $68.25

Step-by-step explanation:

21+.09x=.13x

x=525

21+.09(525)=68.25

.13(525)=68.25

The answers are :

A) The amount of calling for which the two plans cost the same will be 525 minutes.

B) The cost when two plans cost the same amount is $68.25.

What do you mean by algebraic expressions ?

Algebraic expression is an equation which consists of variables and the arithmetic operations such as division , multiplication , etc.

A)

Let's assume the amount of calling is x for which the two plans cost the same.

So , the algebraic expression can be written as ;

Plan A = Plan B

or

21 + (0.09 × x) = 0 + (0.13 × x)

Solving this we will get amount of calling for which the two plans cost the same as :

21 = 0.13x - 0.09x

0.04x = 21

x = 525 minutes

B)

Now , the cost when two plans cost the same amount :

Plan A = 21 + (0.09 × 525) = 21 + 47.25 = $68.25

or

Plan A = Plan B = $68.25

Therefore , the answers are :

A) The amount of calling for which the two plans cost the same will be 525 minutes.

B) The cost when two plans cost the same amount is $68.25.

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Which ordered pair is in the solution set of the system of inequalities shown in the graph below

Answers

-2, -1 is the correct answer your looking for

The ordered pair is in the solution set of the system of inequalities shown in the graph will be (-2, -1)

What is a solution set to an inequality or an equation?

If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality. Set of such values is called solution set to the considered equation or inequality.

The shaded portion will be conider as the dashed line joining points (-2, -2) and (3, 3).

Anf for the equation x - 1 > 0, x > 1

The shaded portion to the right of the dashed line joining points (1, 5) and (1, -3).

The portion affected by the two shadings would be the portion common to the right of the dashed line joining points (1, 5) and (1, -3) and under the dashed line joining points (-2, -2) and (3, 3).

The ordered pair is in the solution set of the system of inequalities shown in the graph will be (-2, -1)

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Which example does NOT show the commutative property of addition?
a. 4 + x = x + 4
b. ab=ba
c. a + b = b + a
d. 3x + 4y = 4y +3x

Answers

B because it is multiplication while the question is asking for addition. :)
B is you’re answer love !! Good luck

Solve the following for b: V = a^2 (5+b)

Answers

B= (v/a^2)-5 should be correct.

Find the area of the parallelogram in square units.

Answers

I think it’s 40
The width is 8
And the length is 5
8 x 5 is 40

6 cans of soup cost $12. Fill in the correct number over or under each hash mark. How much does one can of soup cost ?

Answers

Answer:

12 / 6 = $2

Step-by-step explanation:

Answer:

they each cost 2 dollors

Step-by-step explanation:

how do you find out whether somethings a function or not?​

Answers

Step-by-step explanation:

if you can put a vertical line through it and it only touches the line once it's a function

Answer:

Step-by-step explanation:

what is an eqivallent fraction to 4/3

Answers

Answer:

8/6

Step-by-step explanation:

That is because 8 and 6 are double than that of 4 and 3 so it is an equavalent equation.

Answer:

8/6

Step-by-step explanation:

Multiply the numerator and denominator by 2! :)

PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!

Answers

Answer: y  ≥  − 2

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

Which three types of transformations result in congruent shapes? Question 8 options: A) Reflection, rotation, translation B) Reflection, translation, dilation C) Reflection, dilation, rotation D) Rotation, dilation, translation

Answers

Answer: A

Step-by-step explanation:

Answer:

A. Reflection, rotation, translation

Step-by-step explanation:

Rotations, reflections, and translations are isometric. That means that these transformations do not change the size of the figure. If the size and shape of the figure is not changed, then the figures are congruent. Explore and discuss the examples of transformations below with your child. Examples of Transformations.

Zared plays basketball on his high school team. One of the things he needs to practice is his free throws. On his first shot, there is a probability of 0.6 that he will make the basket. If he makes a basket, his confidence grows and the probability he makes the next shot increases by 0.05. If he misses the shot, the probability he makes the next one decreases by 0.05.
He takes 5 shots. What is the probability he makes at least 3 shots? (Hint: a tree diagram might be a helpful strategy)

Answers

Answer:

lol brainliest

Step-by-step explanation:

The probability that he makes at least 3 shots is P{E} = 0.15

What is a probability?               Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.

Given is that Zared plays basketball on his high school team. One of the things he needs to practice is his free throws. On his first shot, there is a probability of 0.6 that he will make the basket. If he makes a basket, his confidence grows and the probability he makes the next shot increases by 0.05. If he misses the shot, the probability he makes the next one decreases by 0.05.

If he takes 5 shots, than the probability that he makes at least 3 shots is-

P{E} = 5 x 0.05 - 2 x 0.05

P{E} = 0.25 - 0.1

P{E} = 0.15

Therefore, the probability that he makes at least 3 shots is P{E} = 0.15.

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The graphs of two lines are shown.
HELPP

Answers

9514 1404 393

Answer:

  A)  y = -3x +7

  B)  y = (7/3)x

Step-by-step explanation:

Maybe you want the equations of the lines.

Two points are marked on each graph. These can be used to compute the slope. One of them is the y-intercept, so that can be used in the slope-intercept equation.

A) m = (y2 -y1)/(x2 -x1) = (1 -7)/(2 -0) = -3

  b = 7

So, the equation y = mx+b is ...

  y = -3x +7

__

B) m = (7 -0)/(3 -0) = 7/3

  b = 0

The equation is ...

  y = (7/3)x

Kelly,Marvin and Indhu saved $100 altogether.Kelly saved $16 more than Indhu .Marvin saved twice the amount Indhu saved. How much did kelly save?

Answers

Answer:

$37

Step-by-step explanation:

Let $x be the amount Kelly saved.

Kelly saved $x.

Indhu saved $(x-16). (Kelly saved $16 more than Indhu)

Marvin saved $2(x-16). (Marvin saved twice the amount Indhu saved)

They saved $100 together.

Therefore we could set up an equation.

x+(x-16)+2(x-16)=100

x+x-16+2x-32=100

4x=148

x=37

Therefore Kelly saved $37.

how many miles does a runner travel in a 10-kilometer run? (1 mile = 1.6 km)

Answers

Answer:

6.25 miles

Step-by-step explanation:

To find how many miles they ran, divide the number of kilometers by 1.6

10/1.6

= 6.25

So, they ran 6.25 miles

the perimeter of a rectangle id 34 units. Its width is 6.5 units. Write an equation to determine the length of the rectangle

Answers

P= L(W)
34= L(6.5)
then you go ahead and divide both sides by 6.5
so 34/6.5= 5.2
inconclusion: 5.231(6.5)= 34

the sum of a group of numbers is the same regardless of the order in which the numbers are arranged​

Answers

Answer:

Commutative property

Answer:

its commutative property

2. A coin is tossed, then a
letter from the word
INDIANAPOLIS is selected at
random. Find each
probability.

Answers

I : 3/12 or 1/4
N : 2/12 or 2/6
D : 1/12
A: 2/12 or 2/6
P: 1/12
O: 1/12
L: 1/12

The probability are for P(h) = 1/2, P(t) = 1/2, P(getting letter P) = 1/12, P(getting a vowel) = 1/2, P(tails then a vowel) = 1/4, P(tails then N) = 1/12, P(heads then D or I) = 1/6.

What is probability?

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

We have a coin tossed, then a letter from the word INDIANAPOLIS is selected at random.

Probability for getting head or tell:

P(h) = 1/2

P(t) = 1/2

The word INDIANAPOLIS has 12 letters with 3I's, 2A's, 2N's, 1D's, 1P's, 1L's, 1O's, and 1S's

Probability for getting letter P:

P(getting letter P) = 1/12

P(heads, then letter P) = P(heads)×P(getting P) = (1/2)(1/12) = 1/24

P(tails) = 1/2

P(getting a vowel) = 6/12 = 1/2

P(tails then a vowel) = (1/2)(1/2) = 1/4

P(tails then N) = (1/2)(2/12) = 1/12

P(heads then D or I) = (1/2)(4/12) = 4/24 = 1/6

Thus, the probability are for P(h) = 1/2, P(t) = 1/2, P(getting letter P) = 1/12, P(getting a vowel) = 1/2, P(tails then a vowel) = 1/4, P(tails then N) = 1/12, P(heads then D or I) = 1/6.

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2 + 6d = _____ d = 8

Answers

Answer:

The answer is 50 :)

Step-by-step explanation:

Since d=8, you multiply 6 times 8 which gives you 48 then add the 2.

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