Answer:
<h2> 40in^3</h2>
Step-by-step explanation:
Step one:
given data
dimension of the box
lengh= 5 in
width= 2 in
height =4 in
Required
the volume of the box
the expression for the volume is
V=L*W*H
V=5*2*4
V=40 in^3
Hence the volume of sand the box can take is 40in^3
This is a proportion problem.
Let's make her Length x and her height 1/3 x.
1/3 x = 20 inches
x = 6 2/3 inches
Molly's height is 6 2/3 inches.
Check it.
6 2/3 x 3 = ? (change the mixed number to a fraction)
20/3 x 3 = ? (multiply)
60/3 = ? (divide)
20 inches. Yes, it checks.
Answer:
There are 685464 ways of selecting the 5-card hand
Step-by-step explanation:
Since the hand has 5 cards and there should be at least 1 card for each suit, then there should be 3 suits that appear once in the hand, and one suit that apperas twice.
In order to create a possible hand, first we select the suit that will appear twice. There are 4 possibilities for this. For that suit, we select the 2 cards that appear with the respective suit. Since there are 13 cards for each suit, then we have
possibilities. Then we pick one card of all remaining 3 suits. We have 13 ways to pick a card in each case.
This gives us a total of 4*78*13³ = 685464 possibilities to select the hand.