A collection of nickels and dimes is worth $4.40. There are 53 coins in all. How many nickels are there?
Nickel is a US coin worth 5 cents or 0.05.
Dime is a US coin worth 10 cents or 0.10
n + d = 53
0.05n + 0.10d = 4.40
n = 53 - d
0.05(53 - d) + 0.10d = 4.40
2.65 - 0.05d + 0.10d = 4.40
0.05d = 4.40 - 2.65
0.05d = 1.75
d = 1.75 / 0.05
d = 35
n = 53 - d
n = 53 - 35
n = 18
There are 18 nickels and 35 dimes.
0.05n + 0.10d = 4.40
0.05(18) + 0.10(35) = 4.40
0.90 + 3.5 = 4.40
4.40 = 4.40
When you read this, the first thing that should jump out at you is:
What does "largest" mean ?
Does it mean the longest possible playground ? The widest possible ?
The playground with the most possible area ?
Well, we can narrow it down right away. If you try and find the longest
or the widest possible playground, then what you get is: The longest or
the widest possible playground is 250 feet by zero. It has a perimeter
of 500 ft, and nobody can play in it. That's silly.
It makes a lot more sense if we look for the playground that has
the greatest AREA.
I happen to remember that if you have a certain fixed amount of
fence and you want to use it to enclose the most possible area,
then you should form it into a circle. And if it has to be a rectangle,
then the next most area will be enclosed when you form it into a square.
So you want to take your 500 feet of fence and make a playground
that's 125-ft long and 125-ft wide.
Its area is (125-ft x 125-ft) = 15,625 square feet.
Just to make sure that a square is the right answer, let's test
what we would have if we made it not quite square ... let's say
1 foot longer and 1 foot narrower:
Length = 126 feet
Width = 124 feet
Perimeter = 2 (126 + 124) = 500-ft good
Area = (126-ft x 124-ft) = 15,624 square feet.
Do you see what happened ? We kept the same perimeter, but
as soon as we started to make it not-square, the area started to
decrease.
The square is the rectangle with the most possible area.
Answer:
In astronomy, geography, and related sciences and contexts, a direction or plane passing by a given point is said to be vertical if it contains the local gravity direction at that point. Conversely, a direction or plane is said to be horizontal if it is perpendicular to the vertical direction
Step-by-step explanation:
Answer:
97656250
Step-by-step explanation:
keep multiplying each term by 5 until you get to the 11th one. the 11th term is 97656250
