No. of People Cost
1 9.50
2 19.00
3 28.50
4 38.00
etc.
If we divide the cost in each row by the number of people in that row, we always have the proportion (ratio) of 9.50 / 1
Option B
2 notebooks for $ 0.60 expressed as unit rate is $ 0.30 per notebook
<h3><u>Solution:</u></h3>
We have to express ratio as unit rate
Given that, 2 notebooks for $ 0.60
Number of notebooks = 2
Cost of 2 notebooks = $ 0.60
So we have to find cost of 1 notebook

So unit rate = cost of 1 notebook = $ 0.30
So 2 notebooks for $ 0.60 as unit rate is $ 0.30 per notebook
There are two different answers that you could be looking for.
You might be asking how many different meals can be served at the banquet,
or you might be asking literally how many 'ways' there are to put meals together.
I'm going to answer both questions. Here's how to understand the difference:
Say you have ten stones, and you tell me "I'll let you pick out two stones
and take them home. How many ways can this be done ?"
For my first choice, I can pick any one of 10 stones. For each of those . . .
I can pick any one of the 9 remaining stones for my second choice.
So the total number of 'ways' to pick out two stones is (10 x 9) = 90 ways.
But let's look at 2 of those ways:
-- If I pick stone-A first and then pick stone-G, I go home with 'A' and 'G'.
-- If I pick stone-G first and then pick stone-A, I still go home with 'A' and 'G'.
There are two possible ways to pick the same pair.
In fact, there are two possible ways to pick <em><u>every</u></em> pair.
So there are 90 <em><u>ways</u></em> to pick a pair, but only 45 different pairs.
That's the reason for the difference between the number of <em><u>ways</u></em> the
committee can make their selections, and the number of different <em><u>meals</u></em>
they can put together for the banquet.
So now here's the answer to the question:
-- Two appetizers can be selected in (6 x 5) = 30 ways.
(But each pair can be selected in 2 of those ways,
so there are only 15 possible different pairs.)
-- Three main courses can be selected in (10 x 9 x 8) = 720 ways.
(But each trio can be selected in 3*2=6 of those ways,
so there are only 120 possible different trios.)
-- Two desserts can be selected in (8 x 7) = 56 ways.
(But each pair of them can be selected in 2 of those ways,
so there are only 28 possible different pairs.)
-- The whole line-up can be selected in (30 x 720 x 56) = <em>1,209,600 ways</em>.
But the number of different meals will be (30 x 720 x 56) / (2 x 6 x 2) =
(15 x 120 x 28) = <em><u>50,400 meals</u></em>.
Answer:
I believe it is Option 1
Step-by-step explanation:
Since the fourth root of 81 will be 3 and of 16 will be 2.
The height of the prism is 
Explanation:
It is given that the area of the cross section of the rectangular prism is 45 square inches.
Length of the rectangular prism is 
Width of the rectangular prism is 
To determine the height of the prism, let us substitute these values in the formula
, we get,

Multiplying the terms within the bracket, we get,

Adding the terms within the bracket, we have,

Dividing both sides by 20, we get,

Thus, the height of the rectangular prism is 