Answer:
m = 10
Step-by-step explanation:
Given w is inversely proportional to m then the equation relating them is
w =
← k is the constant of variation
To find k use the condition w = 8, m = 25 , then
8 =
( multiply both sides by 25 )
200 = k
w =
← equation of variation
When w = 20 , then
20 =
( multiply both sides by m )
20m = 200 ( divide both sides by 20 )
m = 10
To find the volume of a sphere, you will use the formula for finding volume of a sphere. You will use the diameter to find the radius. r = d/2, so the radius is 5 in
V = 4/3 x pi x r^3
4/3 x 3.14 x 5^3
V = 523.6 cubic inches
The volume of this sphere is approximately 523.6 cubic inches.
8
46
is equivalent to 4
23
because 4 x 2 = 8 and 23 x 2 = 46
12
69
is equivalent to 4
23
because 4 x 3 = 12 and 23 x 3 = 69
16
92
is equivalent to 4
23
because 4 x 4 = 16 and 23 x 4 = 92
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Since she bought 4 bags of 50 beads and 3 bags of 200 beads you only need to use two operations: multiply and add.
4 x 50 is 200
3 x 200 is 600
600 + 200 = 800
Mariah purchase 800 beads in total.