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A bee flies at 15 feet per second directly to a flowerbed from its hive. The bee stays at the flowerbed for 17 minutes, and then flies directly back to the hive at feet per 9 second. It is away from the hive for a total of 20 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?

Respuesta :

To calculate the distance between the flowerbed and the hive, the following equation might be used. Its mathematical representation is as

(a)Equation is \frac{d}{10}+\frac{d}{6}=240 ()

(b)900ft

What equation can you use to find the distance of the flowerbed from the hive?

Generally, the equation for is  mathematically given as

The distance between the flower bed and the hive should be d.

11 seconds have passed during the bee's visit to the flower bed.

15 seconds is the amount of time the bee is away from the colony.

The time it took for the bees to travel from the hive to the flower bed and then back again;

t=4*60

t=240 seconds

The formula for calculating time is distance multiplied by speed.

The duration of my terror was 240 seconds.

Create an expression for the amount of time spent flying;

The amount of time needed to fly from the hive to the flowerbed is equal to d/10ft/s.

[tex]=\frac{d}{10}+\frac{d}{6}=240 \\=\frac{3 a+5 a}{30}=240 \\=\frac{8 d}{30}=240 \\8 d=240 * 30 \\[/tex]

8 d=7200

[tex]d=\frac{7200}{8}=900 \mathrm{ft}[/tex]

(a) Equation is

[tex]\frac{d}{10}+\frac{d}{6}=240[/tex]

In conclusion,

(b) The distance between the flower bed and the hive is 900 feet.

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