Answer:
Exact form: 136/13
Decimal form: 10.46153846
Mixed number form: 10 6/13
Slope: 3, y-intercept: 4, equation: y = 3x + 4
Answer:
Hey there!
If 1007 people attend, they will make a profit of 10070 dollars.
The play costed 3200 dollars to produce, so we have -3200+10070=7500 dollars as the final balance of the bank account.
Let me know if this helps :)
A. The equation to find the distance of the flowerbed from the hive is:
, 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
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,
So, the time taken by the bee to reach the flowerbed
seconds and the time taken to fly back to the hive
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.......

Thus, the distance of the flowerbed from the hive is 2250 feet.
Answer:
Ratio of circumferences: 
Ratio of radii: 
Ratio of areas: 
Step-by-step explanation:
Hi there!
We are given:
- The circumference of Circle K is 
- The circumference of Circle L is 
Therefore, the ratio of their circumferences would be:
⇒
when simplified
The formula for circumference is
, where <em>r</em> is the radius. To find the ratio of the circles' radii, we must identify their radii through their given circumferences.
If the circumference of Circle K is
, or
, then its radius is
.
If the circumference of Circle L is
, then its radius is
, which is 2.
Therefore the ratio their radii would be:
⇒
⇒
when simplified
The formula for area is:

First, let's find the area of Circle K:

Now, let's find the area of Circle L:

Therefore, the ratio of their areas would be:
⇒
⇒
⇒
when simplified
I hope this helps!