Answer:
x = 48
Step-by-step explanation:
3x + 9 = 153
subtract 9 from both sides -9 -9
3x = 144
divide both sides by 3 3x/3 = 144/3
2x + (x + 9) = 153
2(48) + (48 + 9) = 153
96 + 57 = 153
153 = 153
Answer:
<h2>Approximately 141 malt balls</h2>
Step-by-step explanation:
this problem is on the mensuration of solids shapes.
first we need to calculate the volume of the rectangular prism
volume of prsim= l*b*h
given that
length= 1.5 in
breath=2.5 in
hieght= 6 in
volume= 1.5*2.5*6
volume=22.5 in^3
secondly we then calculate the volume of a malt ball
given that
raduis r= 0.34
volume of sphere = 4/3πr^3
volume of sphere = 4/3*3.124*(0.34)^3
volume of sphere = 1.33*3.142*0.039
volume of sphere = 0.16 in^3
now we can calculate the amount of sphere that can fit into the prism as
= volume of prism/volume of sphere
= 22.5/0.16
=140.6
approximately 141 malt balls
Answer:
square root of 1024 is 32
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)
