Answer:
or 
Step-by-step explanation:
step 1
Find the volume of the rectangular prism
we know that
The volume of a rectangular prism is
In this problem we have
substitute in the formula
step 2
Find the difference between the volume of the prism and the volume of the storage container
Answer:
64 1/2
Step-by-step explanation:
5x12=60
3/8x12/1= 36/8= 9/2 9/2=4 1/2
60+4 1/2= 64 1/2
Answer:
6 gallons per minute
Step-by-step explanation:
Let the function that models the quantities of water, Q (in gallons) in a pool over time, t (in minutes), is
Q = a + bt ........... (1)
Now, Q(t = 0) is given to be 50 gallons.
So, a = 50 and b denotes the rate at which the quantity of water in the pool is decreasing and it is given by the slope of equation (1).
Now, two points on the graph are (0,50) and (1,44).
So, the slope = b = = - 6 gallons per minute.
Therefore, the equation of this situation is given by Q = 50 - 6t, where the slope is equal to - 6 gallons per minute. (Answer)
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
Answer:
angle 3 = 79 degree
Step-by-step explanation:
given:
angle 1 = 98 degree
angle 2 : 19 degree
angle 3 =?
angle 2 + angle 3 =angle 1 (sum of two interior angle opposite angles is equal to the exterior angle formed)
19 + angle 3 = 98
angle 3 = 98 - 19
angle 3 = 79 degree
