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yulyashka [42]
3 years ago
8

1.63 repeatind decimal as a mixed number

Mathematics
1 answer:
emmainna [20.7K]3 years ago
3 0
First change the decimal portion into a fraction.
63/100. That is the simplest form of the fraction. add in your whole number. The answer is 1 63/100
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Two ducklings wander away from the nest while their mother is away. The first duckling's displacement (distance and direction) f
aksik [14]

the second duckling is wandering by 2.6 units distance than the first duckling .

<u>Step-by-step explanation:</u>

Here we have , Two ducklings wander away from the nest while their mother is away. The first duckling's displacement (distance and direction) from the nest is (12,5) The second duckling's displacement is (13,-8) . We need to find How much farther did the second duckling wander than the first duckling. Let's find out:

Let a = (12,5) and b =(13,-8)

The distance each duckling wandered is the magnitude of its displacement vector. Therefore, the expression Distance second duck wandered is given by :

⇒ D  = |b|-|a|

⇒ D  = \sqrt{13^2+(-8)^2} -\sqrt{12^2+5^2}

⇒ D  = \sqrt{233} -\sqrt{169}

⇒ D  =15.26 -13

⇒ D  =2.6

Therefore , the second duckling is wandering by 2.6 units distance than the first duckling .

4 0
3 years ago
What is the sum? …………….
aniked [119]
5 over y plus 5. you combine the fractions by finding the common denominator
4 0
3 years ago
If 2/3 of the distance from the y-axis to point A (−30, −45) is equal to 1/4 of the distance from the x-axis to point B(5a, 2a),
Aliun [14]

Answer:

The value of a is 80

Step-by-step explanation:

The distance of a point (x_o,y_0) from the y-axis can be written as d_y=|x_o|  because the x-coordinate of the y-axis is zero.

Similarly, the distance of a point  from the x-axis can be written as d_x=|y_0|

since the y-coordinate of the x-axis is zero.

In this problem:

- The distance of the point A (−30, −45) from the y-axis can be written as

d_A=|-30|=30

- The distance of point B (5a,2a) from the x-axis can be written as

d_B=|2a|=2a

Since a>0

We are told that 2/3 of the distance from the y-axis to point A (−30, −45) is equal to 1/4 of the distance from the x-axis to point B(a, a), which means

\frac{2}{3}d_A=\frac{1}{4}d_B

Therefore,

\frac{2}{3}(30)=\frac{1}{4}(2a)

And solving for a,

20=\frac{1}{2}a\\a=40

5 0
2 years ago
Circle B is shown. Line segments C B, D B, and E B are radii. Angle C B E is 52 degrees and angle E B D is 160 degrees.
charle [14.2K]

Answer:

D

Step-by-step explanation:

One is 160, and the other is 52. To find the answer, we add.

52+160=212, which is D.

Ergo, D is the correct answer.

8 0
3 years ago
Read 2 more answers
5. There are three different colored M&amp;Ms
Inga [223]

The total number of red m&m out of all m&m is 2/5.

The total number of green m&m out of all m&m is 1/4.

if we add up 2/5 and 1/4, we can use that information to subtract from the total number of m&m to find the rest of m&m, which would be a total number of white m&m!

2/5 + 1/4 = ?

Common denominator. We will choose 20, since it is the lowest common multiple! (this means that 20/20 is the total number of all m&m, by the way. )

\frac{2(4)}{5(4)} + \frac{1(5)}{4(5)} = 8/20 + 5/20 = a

20/20 - a = ?

ANSWER: 7/20

4 0
3 years ago
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