A bee flies at feet per second directly to a flowerbed from its hive. The bee stays at the flowerbed for minutes, and then flies directly back to the hive at feet per second. It is away from the hive for a total of 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

Answer:

Answer:

Step-by-step explanation:

The question is incomplete. Here is the complete question.

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 from the hive for a total of 18 minutes. A. Write the equation. Let d be the distance of the flowerbed from the hive. B. how far away is the hive from the flower bed.

First we need to calculate the time taken by the bee to fly to a flowerbird to its hive using the formula;

Speed = Distance/Time

Time = Distance/Speed

If a bee flies at 12 feet per second directly to a flowerbed from its hive, then the time taken by the bee is expressed as;

t1 = d/12 ....... 1

If the bee then flies directly back to the hive at 8 feet per second, the time taken by the bird will be:

t2 = d/8 ....... 2

Total time taken by the bee to and fro will be the sum total of both times;

t1+t2 = d/12+d/8

t11+t2 = 2d+3d/24

t1+t2 = 5d/24 ........ 3

If the bee stays at the bee stays at the flowerbed for 14 minute and away from the hive for 18minutes, the total time used by the bird during the journey will be 18-14 = 4 minutes

converting 4 minutes to seconds

4 minutes = 4*60 = 240seconds

The equation that can be used to find the distance of the flowerbed from the hive is gotten by equating equation 3 to the total time used by the bird during the journey i.e;

5d/24 = 240

5d = 24*240

5d = 5760

b) To know how far is the flowerbed from the hive, we will solve the resulting equation in a for the value of d as shown

Given 5d = 5760

Divide both sides by 5

5d/5 = 5760/5

d = 1152ft

Hence the distance of the flowerbed from the hive is 1152ft

Related Questions

Let f(x)=1/x and g(x)=x^2+5x find (f×g)(x)
Which expression is equivalent to 6a + 15? A. 6(a + 5) B. 3(2a + 5) C. 3(3a + 12) D. 6(a + 12) PLEASE HELP :)
Suppose the probability that the Seahawks will defeat the Raiders is 0.55. What is the complement and what does it mean?20/9 ; the probability that the Seahawks will not defeat the Raiders.20/9 ; the probability that the Seahawks will defeat the Raiders.11/20 ; the probability that the Seahawks will defeat the Raiders.0.45 ; the probability that the Seahawks will not defeat the Raiders.
How do I factor 2y^2 - y - 10
why do whole numbers raised to an exponent get greater while fractions raised to an exponent get smaller?

Please help me this is due in 2 hours you need to explain your answer plzzzzzz???????!!!!!!!

Answers

Answer:

1) one muffin costs $1.50

one quart of milk costs $3.00

2) 10 videos, 30 CDs

Step-by-step explanation:

m = cost of one muffin

q = cost of one quart of milk

System of equations:

3m + 1q = 7.5

8m + 2q = 18

I multiplied the first equation by -2 to eliminate the 'q' values

-6m - 2q = -15

+ 8m + 2q = 18

2m = 3

m = 3/2

find 'q':

3(3/2) + q = 7.5

9/2 + q = 15/2

q = 6/2 or 3

c = # of CDs sold

v = # of videos sold

System of equations:

c + v = 40

4c + 6v = 180

I solved first equation for 'c' to get c = 40 - v

4(40-v) + 6v = 180

160 - 4v + 6v = 180

2v = 20

v = 10

10 + c = 40

c = 30

The distance traveled,d, and the speed,s which is dependent and which is the independent variable

Answers

Step-by-step explanation:

Speed is independent and distance is dependent

Distance depends on the speed

Speed influences the distance

True or False? 1. All real numbers are either rational or irrational?

2. Every real number can be represented as a decimal, and every decimal represents a real number?

Answers

"Every real number can be represented as a decimal, and every decimal represents a real number"

Every real number can be represented as a decimal --> True since non-terminating decimals are decimals too.

And every decimal represents a real number --> This is just the vice versa of the first statement. Hence true.

That's making the whole statement true.So both the statements are true.

What multiplies to give you 60 but adds to give you -17

Answers

Answer:

-5 and -12

Step-by-step explanation:

Anyone know?
A. 99
B. 100
C. 121
D. Cannot be determined

Answers

Since, it is given that the pentagon ABCDE is congruent to pentagon FGHIJ.

By being congruent, the corresponding angles and sides are equal.

Therefore, $\angle A = \angle F$ , $\angle B = \angle G$ , $\angle C = \angle H$ , $\angle D= \angle I$ , $\angle E = \angle J$ .

By using $\angle A = \angle F$

So, $100^\circ = \angle 1$

Therefore, the measure of angle 1 is 100 degrees.

So, Option B is the correct answer.

A movie was shown 6 times every day from November 24 through December 19. How many times was the movie shown in all? (Note: The month of November has 30 days.)