Which expression has a value of 60?

A bee flies 20 feet per second directly to a flowerbed from its hive. The bee stays at the flowerbed for fifteen minutes. Then i

Ksenya-84 [330]

A. The equation to find the distance of the flowerbed from the hive is: $\frac{x}{20}+\frac{x}{12}+900= 1200$ , where x is the distance.

B. The flowerbed is 2250 feet far from the hive.

<u><em>Explanation</em></u>

Suppose, the distance of the flowerbed from the hive is $x$ feet.

The bee flies 20 feet per second directly to a flowerbed from its hive and flies directly back to the hive at 12 feet per second.

As, $Time=\frac{Distance}{Speed}$

So, the time taken by the bee to reach the flowerbed $= \frac{x}{20}$ seconds and the time taken to fly back to the hive $=\frac{x}{12}$ seconds.

The bee stays at the flowerbed for 15 minutes or (15×60)seconds or 900 seconds and it is away from the hive for a total of 20 minutes or (20×60)seconds or 1200 seconds.

So, the equation will be.......

$\frac{x}{20}+\frac{x}{12}+900= 1200\\ \\ \frac{3x+5x}{60}= 300\\ \\ 8x= 60*300\\ \\ 8x=18000\\ \\ x=\frac{18000}{8}=2250$

Thus, the distance of the flowerbed from the hive is 2250 feet.

5 0

3 years ago

Garth is packing boxes with books.the list shows how many books are in each 10 of boxes

SCORPION-xisa [38]

The median of books to a box is 9 and The mean of books to a box is 11

The complete question is

Garth is packing boxes with books. The list shows how many boxes are in each of 10 boxes. 6,14,6,18,9,9,12,10,11,15

Which statement is true about the number of boxes packed to a box?

A) The median # of books to a box is 8

B) The median # of books to a box is 9

C) The mean # of books to a box is 11

D) The mean # of books to a box is 12

<h3>What is Mean and Median ?</h3>

Mean is the average of the data given while the median is the middle point of the data.

It is given that

The data is

6, 14, 6, 18, 9, 9, 12, 10, 11, 15

The mean is

(6 + 14 + 6 + 18 + 9 + 9 + 12 + 10 + 11 + 15)/10 = 11

and the median is 9

Therefore Option B and C is the correct answer.

To know more about Mean and Median

brainly.com/question/17060266

#SPJ1

3 0

1 year ago

What's the value of x <br><br>

schepotkina [342]

Answer: x=14

Explanation: the angle needs to equal the other angle, which is 63. To figure this out, we subtract 21 from 63. We get 42. 42 divided by 3 is 14. We are basically doing the equation in reverse.

5 0

3 years ago

Given the vector equation ????(t)=(4−3t)????+(−5+t)????+(3−t)????, rewrite this in terms of the parametric equations for the lin

Anit [1.1K]

Answer:

The parametric equations for the line.x(t)=

y(t)=

z(t)=

is

$\= r (t) = \left \{ {{x(t)= 4-3t} \atop {y(t)= -5+t}} \atop {z(t)=3-t}} \right \}$

Step-by-step explanation:

From the question we are told that

the given equation is

$\= r(t) = (4-3t) + (-5 + t) + (3-t)$

This given equation can be represented as

$\= r (t) = [4 -3t , -5+t,3-t]$

Generally this equation can be represented in terms of the parametric equations as follows

$\= r (t) = \left \{ {{x(t)= 4-3t} \atop {y(t)= -5+t}} \atop {z(t)=3-t}} \right \}$

This above equation is obtained by assigning each component of r(t) to each line

4 0

3 years ago

A high school track is shaped as a rectangle with a half circle on either side.

LiRa [457]

Answer:

745.5

Step-by-step explanation:

To answer this question we need to find the perimeter and multiply it by three. To do that we can start by adding 85 yards plus 85 yards for both sides of the rectangle which equals 170. Then we need to add the circumference of the semicircles. To do that we can use the formula C = 2(3.14)r. for that we need to find the radius which is the diameter divided by 2 which is 12.5. Then we can plug that into the formula to get C=(2)(3.14)(12.5). After solving that we get 78.5 which we can add to 170 to get the perimeter which is 248.5 . However we are NOT done since jasmine is running 3 laps we need to multiply 248.5 by 3 to get an answer of 745.5.

4 0

3 years ago

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