So this is what's known as a combination. a combination is a group where the order does not matter. to solve a combination, you use this equation:
n! / (r! *(n-r)!)
n is the total number of objects being sorted (8)
r is the group you need to sort them into (4)
(i know it's 2 groups of 4 but if you solve this for 1 group, the other group is automatically made of the remaining kids)
definition of !:
a number with a ! means 1*2*3...*that number (so that number multiplied by every number smaller than it all the way to one)
so we put 8 and 4 in this equation:
8! / (4! *(8-4)!)
simplify:
8! / *(4! 4!)
multiply out:
(8*7*6*5*4*3*2*1) / (4*3*2*1 * 4*3*2*1)
and put that in your calculator
you will get 70
your answer is 70
6 1/10 because 3 3/5 equals 3 6/10 and 2 1/2 equals 2 5/10. 3 6/10 plus 2 5/10=6 1/10
So in a gallon there is 4 quarts, and in 1 quart there are 2 pints and in 1 pint there are 2 cups.
So for the 1 quart of onion that would equal 4 cups. Then for the 4 pints of broth there would be 8 cups and then the 6 cups and 2 cups just stay the same. So if you add those number of cups up you would get 20 cups. Divide that by 4 to see how many bowls she would need.
<em><u>The answer is she would need 5 bowls </u></em>
Answer:
y = - 
x - 
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 
x + 1 ← is in slope- intercept form
with slope m =
Given a line with slope m then the slope of a line perpendicular to it is
= - 
= - 
= - , thus
y = - x + c ← is the partial equation
To find c substitute (- 8, 2) into the partial equation
2 = 
+ c ⇒ c = 2 - = -
y = - x - ← equation of perpendicular line
Answer:
The answer to your question is: 161 balls
Step-by-step explanation:
Data
rectangular prism = 8 in x 11 in x 5 in
diameter golf balls = 1.68 in radius = 1.68/ 2 = 0.84 in
Formula
Volume rectangular prism = l x w x h
Volume sphere = (4/3)π r³
Process
Volume rectangular prism = 8 x 11 x 5 = 400 in³
Volume balls = (4/3) (3.1416) (0.84)³ = 2.48
# of balls in the compartment = volumen rectangular prism / volume balls
# of balls in the compartment = 400 / 2.48 = 161. 29
