The given equation is:
0 + 7y + 2 = 7y + 2
This equation is showing that addition of 0 leaves the expression unchanged. 0 is known as the Additive Identity this means if we add or subtract 0 from any expression, number or equation the result won't be changed.
Therefore, the equation satisfied the property of Additive Identity of Real Numbers.
Answer:
(4, 2 )
Step-by-step explanation:
Given the 2 equations
3x + y = 14 → (1)
7x - 4y = 20 → (2)
Rearrange (1) making y the subject by subtracting 3x from both sides
y = 14 - 3x → (3)
Substitute y = 14 - 3x into (2)
7x - 4(14 - 3x) = 20 ← distribute parenthesis and simplify left side
7x - 56 + 12x = 20
19x - 56 = 20 ( add 56 to both sides )
19x = 76 ( divide both sides by 19 )
x = 4
Substitute x = 4 into (3) for corresponding value of y
y = 14 - 3(4) = 14 - 12 = 2
solution is (4, 2 )
Multiply straight across
5/1 * 3/4 = 15/4
now change it into a mixed number
3 3/4
The answer is 20.6 hope this helps
Answer:
The new volume is 8 times smaller than the original volume
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube
Let
z-----> the scale factor
x ----> the volume of the reduced sphere
y ----> the volume of the original sphere
so
we have
----> scale factor
substitute
therefore
The new volume is 8 times smaller than the original volume
Verify
The volume of the original sphere is
---> the radius is half the diameter
the volume of the reduced sphere is
---> the radius is half the diameter
Divide the volumes
