Express the fractions 1/2, 3/16, and 7/8 with an LCD.
1 answer:
LCD stands for the least common denominator.
The least common multiple of the denominators can be calculated as follows;
denominators are 2,16 and 8
divide all by 2 2/2 = 1 16/2 = 8 8/2 = 4
Divide by 2 1 8/2 = 4 4/2 = 2
Divide by 2 1 4/2 = 2 2/2 = 1
Divide by 2 1 2/2 = 1 1
multiply - 2x2x2x2 = 16
16 is the least common multiple of 2,16 and 18
multiply both by 8 - 
as it is
multiply both by 2 - 
answer is 8/16,3/16,14/16
The least common multiple of the denominators can be calculated as follows;
denominators are 2,16 and 8
divide all by 2 2/2 = 1 16/2 = 8 8/2 = 4
Divide by 2 1 8/2 = 4 4/2 = 2
Divide by 2 1 4/2 = 2 2/2 = 1
Divide by 2 1 2/2 = 1 1
multiply - 2x2x2x2 = 16
16 is the least common multiple of 2,16 and 18
answer is 8/16,3/16,14/16
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He borrowed "a" at 7% and "b" at 8.25%
now, whatever "a" and "b" are, we know, his student loan was 9000, thus
a+b = 9000
now, he owes 7% or 7/100 for "a", what's 7% of a? well, 7/100 * a or 0.07a
he owes 8.25% of "b", how much is 8.25% of b? well, 8.25/100 * b or 0.0825b
now, we know, at the end of the year, he owed for both loans, 706.25 in interest
thus we know that 0.07a + 0.0825b = 706.25
thus
solve for "a", to see how much he borrowed at 7%
what about "b"? well, b = 9000-a
now, whatever "a" and "b" are, we know, his student loan was 9000, thus
a+b = 9000
now, he owes 7% or 7/100 for "a", what's 7% of a? well, 7/100 * a or 0.07a
he owes 8.25% of "b", how much is 8.25% of b? well, 8.25/100 * b or 0.0825b
now, we know, at the end of the year, he owed for both loans, 706.25 in interest
thus we know that 0.07a + 0.0825b = 706.25
thus
solve for "a", to see how much he borrowed at 7%
what about "b"? well, b = 9000-a
Answer:
Step-by-step explanation:
Rule for the rotation of a point 180° about the origin is,
(x, y) → (-x, -y)
Therefore, images of the points after the rotation of 180° will be,
A(2, 6) → A'(-2, -6)
B(6, 7) → B'(-6, -7)
C(5, 3) → C'(-5, -3)
D(1, 2) → D'(-1, -2)
Now we can plot these points on the graph as attached.
