Answer:
Mason counted 24 more birds at his feeder than Rosa counted at hers
Step-by-step explanation:
Average = Total or sum/number of items
Therefore, Total or sum = Average × number of items
For Mason,
An average of 18 birds in 20 day is equivalent to a total of
Total birds = 18 × 20
= 360 birds
For Rosa,
An average of 21 birds each day for 21 days is equivalent to a total of
Total birds = 21 × 16
= 336 birds
Difference between the total number of birds for Mason and Rosa
= 360 - 336
= 24 birds
Step 1
Find the volume of a sink
Volume sink=(4/6)*pi*r³ (half-sphere)
Diameter=20 in--------------> r=D/2-----------> r=10 in
Volume sink=(4/6)*pi*10³---------> (2000/3)*pi in³ --------> 2093.33 in³
(a) What is the exact volume of the sink?
the answer part a) is (2000/3)*pi in³ (2093.33 in³)
(b) One conical cup has a diameter of 8 in. and a height of 6 in. How many cups of water must Ki’von scoop out of the sink with this cup to empty it?
volume of a conical cup=pi*r²*h/3
diameter=8 in--------------> r=4 in
h=6 in
volume of a conical cup=pi*4²*6/3-----------> 32*pi in³
if one cup---------------------> 32*pi in³
X---------------------------> (2000/3)*pi in³
X=(2000/3)*pi/(32*pi)------------> 20.83----------> 21 cups
the answer part b) is 21 cups
(c) One cylindrical cup has a diameter of 4 in. and a height of 6 in. How many cups of water must he scoop out of the sink with this cup to empty it?
volume of a cylindrical cup=pi*r²*h
diameter=4 in--------------> r=2 in
h=6 in
volume of a cylindrical cup=pi*2²*6-----------> 24*pi in³
if one cup---------------------> 24*pi in³
X---------------------------> (2000/3)*pi in³
X=(2000/3)*pi/(24*pi)------------> 27.77----------> 28 cups
the answer part c) is 28 cups
Percent means per one-hundred...
9P/100=5.4
9P=540
P=$60.00