Solve for m d=n+7m Thank you
2 answers:
Answer:
This is the same as writing m = (d-n)/7
The parenthesis are essential for the second format because it tells us to divide all of (d-n) over 7, and not just n over 7.
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Explanation:
Here is one way to solve for m. I'll go over each step in the next section below.
The idea is to get the variable m by itself.
Think of n+7m as 7m+n since we can add in any order. Then undo the "plus n" portion by subtracting n from both sides (step 3).
In the 4th step, I divided both sides by 7 to undo the multiplication that is going on with 7m aka 7*m
In general we follow PEMDAS backwards to undo each operation done to the variable we're solving for. Let me know if you have any questions about what I mean.
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Answer:
C. V = two-thirds (27)
Step-by-step explanation:
Given
Solid Shapes: Cylinder and Sphere
Volume of Cylinder = 27π ft³
Required
Volume of the sphere.
From the question,
<u>We have that</u>
1. The volume of the sphere is the same as the volume of the cylinder
2. The height of the sphere is the same as the height of the cylinder.
From (2) above;
This means that the height of the cylinder equals the diameter of the sphere.
Let h represent the height of the sphere and d represent the diameter of sphere.
Mathematical, d = h
Recall that radius, r =
Substitute h for d in the above expression
. ----- (take note of this)
Calculating the volume of a cylinder.
V = πr²h
Recall that V = 27; This gives us
27 = πr²h
Divide both sides by h
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Calculating the volume of a sphere
Expand the above expression
Substitute
Recall that
So,
V = two-third (27)