What is 1.1 in scientific notation?
1 answer:
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(C) fraction of the marbles now in the bag is blue.
- A fraction is a portion of a whole or, more broadly, any number of equal parts.
- In everyday English, a fraction represents the number of pieces of a specific size, such as one-half, eight-fifths, or three-quarters.
- A common, vulgar, or simple fraction that consists of a numerator above a line and a non-zero denominator below that line.
- Numerators and denominators are also employed in uncommon fractions such as compound fractions, complex fractions, and mixed numerals.
To find what fraction of the marbles now in the bag is blue:
- Important information is that immediately before the last step blue marbles formed
from the marble in the bag.
- That means that there were
blue and
other marbles, for some
- When we double the number of blue marbles, there will be
blue and
- Hence, blue marbles now form
all marbles in the bag.
Therefore, (C) fraction of the marbles now in the bag is blue.
Know more about fractions here:
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Complete question:
A bag initially contains red marbles and blue marbles only, with more blue than red. Red marbles are added to the bag until only 1 / 3 of the marbles in the bag are blue. Then yellow marbles are added to the bag until only 1 / 5 of the marbles in the bag are blue. Finally, the number of blue marbles in the bag is doubled. What fraction of the marbles now in the bag are blue?
(A) 1/5
(B) 1/4
(C) 1/3
(D) 2/5
(E) 1/2
Answer:
In brief, apply the pythagorean theorem to show that the distance between the point and the origin is
.
Step-by-step explanation:
The pythagorean theorem can give the distance between two points on a plane if their coordinates are known.
A point is on a circle if its distance from the center of the circle is the same as the radius of the circle.
On a cartesian plane, the unit circle is a circle
- centered at the origin
- with radius
.
Therefore, to show that the point is on the unit circle, show that the distance between
and
equals to
.
What's the distance between and
?
.
By the pythagorean theorem, the distance between and the center of the unit circle,
, is the same as the radius of the unit circle,
. As a result, the point
is on the unit circle.