Answer:
Diameter of pound = 10 yd
Step-by-step explanation:
Given area of circular pond = 78.5 square yd
To find the diameter of the pond.
Solution:
The pond being circular in shape, the area of pond can be given as:
⇒ 
where
represents radius of the pond.
Thus, we have:
⇒ 
Using 
⇒ 
Solving for 
Dividing both sides by 3.14
⇒ 
⇒ 
Taking square root both sides.
⇒ 
⇒ 
So, radius = 5 yd, as distances are always positive.
Diameter = 
Thus, diameter of pound = 10 yd
She can make 6 necklaces and these will be 4 yellow and 6 green on each necklace
Answer:
A. $301
B. $721
Step-by-step explanation:
Let $x be the amount of money they raised.
Rowena tried to put the $1 bills into two equal piles and found one left over at the end, then

Polly tried to put the $1 bills into three equal piles and found one left over at the end, then

Frustrated, they tried 4, 5, and 6 equal piles and each time had $1 left over, then

Finally Rowena put all the bills evenly into 7 equal piles, and none were left over, then

This means
is divisible by 2, 3, 4, 5 and 6 without remainder, so

Hence,

The smallest amount of money they could have raised is $301, because
is divisible by 7.
Now, the number
should be divisible by 7 and must be greater than 500.
So,

When n = 9,
is not divisible by 7.
When n = 10,
is not divisible by 7.
When n = 11,
is not divisible by 7.
When n = 12,
is divisible by 7.
B. The least amount of money they could have raised is $721
. . . . . . .. . . . . . . . . . . . . . . . . . . . ./ . . . . . . . . . . . . . . . . . . . . . . . . . . . .
Answer: 6 hours
Step-by-step explanation:
Given, Tim and Jim are working on a school project together.
Tim takes 10 hours to complete the school project.
If Jim worked alone, it would take him 15 hours
Let t be the time they both take if they work together.
Then, 

So, it will take<u> 6 hours</u> to complete the school project together .