Answer:
2 : 3
Step-by-step explanation:
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red : blue - 8 : 12
The ratio is divisible by 4 - (8/4) = 2 ; (12/4) = 3
Hence, 2 : 3
Answer:
2 * 2 * 5 * 5, or 2^2 * 5^2, or 5^2 * 2^2
Step-by-step explanation:
You can use a factoring tree to find the prime factorization of 100.
+------ 100----------------+
| |
2 +---50---------+
| |
2 +----25----+
| |
5 5
The prime factorization of 100 is 2 * 2 * 5 * 5, or 2^2 * 5^2, or 5^2 * 2^2
Answer:
Step-by-step explanation:
To compare the fractions, give them a common denominator.
⅔ = 16/24
⅜ = 9/24
¾ = 18/24
⅜ < ⅔ < ¾
A method to solve such problems is to consider the rate of change of the angle in degrees per minute. The hour hand of a normal 12-hour analogue clock turns 360° in 12 hours (720 minutes) or 0.5° per minute. The minute hand rotates through 360° in 60 minutes or 6° per minute.
Answer:
Part a) The volume of the pill is
Part b)
Part c)
Step-by-step explanation:
Part a) Find the volume of the pill in cubic millimeters
we know that
The volume of the pill is equal to the volume of the cylinder plus the volume of a sphere (two hemisphere is equal to one sphere)
so
we have
assume
substitute
Part b) If the pill is to contain 1,000 milligrams of vitamin C, then how much vitamin C does the pill contain per cubic millimeter?
Divide 1,000 milligrams by the volume
Part c) Another pill that is entirely spherical has a diameter of 10 millimeters and contains 1.5 milligrams of vitamin C per cubic millimeter. How much less vitamin C does this second pill contain, rounded to the
nearest milligram, than the one pictured?
step 1
Find the volume of the sphere
The volume of the sphere is equal to
we have
----> the radius is half the diameter
assume
substitute
step 2
Multiply the volume by 1.5 milligrams of vitamin C per cubic millimeter
so
step 3
Find the difference