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natita [175]
3 years ago
7

one positive number is 28 less than another number. if the reciprocal of the smaller number is added to four times the reciproca

l of the larger number, the sum is 1/6. Find the two numbers

Mathematics
1 answer:
marishachu [46]3 years ago
7 0
Let x represent the larger number.
  1/(x -28) +4/x = 1/6
Multiplying by the product of denominators, we have
  6x +24(x -28) = x(x -28)
In standard form, this is
  x^2 -58x +672 = 0
  (x -42)(x -16) = 0

The two numbers are (-12 and 16) or (14 and 42).

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Of the total number of spectators at a circus show, 1/4 are men. 2/5 of the remaining number of spectators are women. There are
ch4aika [34]

Answer: There are 198 children at the circus show.

Step-by-step explanation:

Let be "x" the total number of spectators at the circus show and "c" the number of children at the circus show.

Knowing that \frac{1}{4} of the spectators are men, we can find the remaining:

x-\frac{1}{4}x=\frac{3}{4}x

Since \frac{2}{5} of the remaining number of spectaros are women and there are a total of 132 women, we can write the following equation:

(\frac{2}{5})(\frac{3}{4}x)=132

Solving for "x", we get:

x=(132)(\frac{20}{6})\\\\x=440

Therefore, we get that "c" is:

 c=440-\frac{1}{4}(440)-132\\\\c=198

8 0
3 years ago
How to make 69% as a fraction in simplest form?
IceJOKER [234]
69% can be written as
69/100
That cannot be reduced any further since 69 and 100 do not have any common factors other than 1
4 0
3 years ago
= 1/2 (u+v)t
RoseWind [281]

The distance travelled by an object is 50 m.

<h3>What is Distance?</h3>

The distance between two points is the length of the path connecting them.

Here, given equation of distance

         S = 1/2 (u + v)t

Where s is the distance traveled by an object (in meters)

initial velocity u (in m/s)

final velocity v (in m/s).

t in seconds.

Now, given values are;

u = 8 m/s ;  v = 12 m/s ;   t = 5 sec.

    S = 1/2 (8 + 12)5

    S = 1/2 (20)5

    S = 100/2

    S = 50 m.

Thus, the distance travelled by an object is 50 m.

Learn more about Distance from:

brainly.com/question/15172156

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5 0
2 years ago
Angle psr measures 99°. what is the measure of psq in degrees?
Snezhnost [94]
Assuming that point s is the vertex of the angle and that line sq is between angle psr. We can get the correct measurement of angle psq by subtracting 99 degrees with the measurement of the angle made by qsr. Hope this helps. Have a nice day.
6 0
3 years ago
You are riding the swings at a fair. What are the coordinates of your location after a rotation of 180°?
nekit [7.7K]

Answer:

(6, -3)

Step-by-step explanation:

The actual coordinates are x = -6 and y = 3

If we rotate 180 degrees and the center of rotation is at (0,0), all we need to do is invert the signal of each axis, that is, we invert the sign of the original x-coordinate and invert the signal of the original y-coordinate.

So the final x-coordinate is - (-6) = 6

And the final y-coordinate is - (3) = -3

So the coordinates will be (6, -3).

5 0
3 years ago
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