Answer:
c=
ad+b
a
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Step-by-step explanation:
a=
b
c−d
Step 1: Multiply both sides by c-d.
ac−ad=b
Step 2: Add ad to both sides.
ac−ad+ad=b+ad
ac=ad+b
Step 3: Divide both sides by a.
ac
a
=
ad+b
a
c=
ad+b
a
Step-by-step explanation:
Weight before diet: 208 pounds
After diet: 192 pounds
Difference in weight: 16 pounds
(16÷208)*100= 7.7%
Answer:
x = -3, y = 2
Step-by-step explanation:
x - y = -5
x = -5 + y
Let's put this into the other equation
(-5 + y) + y = -1
-5 + 2y = -1
2y = 4
y = 2
Now we can solve for x by plugging y into either equation
x + (2) = -1
x = -3
30 is 20% of the number 150
Answer:
128
Step-by-step explanation:
Method A.
The volume of the prism is 2 cubic units.
Each cube has side length of 1/4 unit.
The volume of each cube is (1/4)^3 cubic unit.
The volume of each cube is 1/64 cubic unit.
To find the number of cubes that fit in the prism, we divide the volume of the prism by the volume of one cube.
(2 cubic units)/(1/64 cubic units) =
= 2/(1/64)
= 2 * 64
= 128
Method B.
Imagine that the prism has side lengths 1 unit, 1 unit, and 2 units (which does result in a 2 cubic unit volume.) Since each cube has side length 1/4 unit, then you can fit 4 cubes by 4 cubes by 8 cubes in the prism. Then the number of cubes is: 4 * 4 * 8 = 128
