1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
slega [8]
3 years ago
8

One number is four times another number. The sum of their reciprocals is 1/4 . What are the numbers?

Mathematics
1 answer:
alexgriva [62]3 years ago
4 0

Answer:

x=2, y=8

Step-by-step explanation:

Set up the equations:

4x=y

1/4x+1/y=1/4

---------------------

1/y+1/y=1/4

2/y=1/4

cross product

y*1=2*4

y=8

4x=8

x=8/4=2

You might be interested in
What is 720° converted to radians? <br> a) 1/4<br> b) pi/4<br> c) 4/pi<br> d) 4pi
baherus [9]

4π radians

<h3>Further explanation</h3>

We provide an angle of 720° that will be instantly converted to radians.

Recognize these:

  • \boxed{ \ 1 \ revolution = 360 \ degrees = 2 \pi \ radians \ }
  • \boxed{ \ 0.5 \ revolutions = 180 \ degrees = \pi \ radians \ }

From the conversion previous we can produce the formula as follows:

  • \boxed{\boxed{ \ Radians = degrees \times \bigg( \frac{\pi }{180^0} \bigg) \ }}
  • \boxed{\boxed{ \ Degrees = radians \times \bigg( \frac{180^0}{\pi } \bigg) \ }}

We can state the following:

  • Degrees to radians, multiply by \frac{\pi }{180^0}
  • Radians to degrees, multiply by \frac{180^0}{\pi }

Given α = 720°. Let us convert this degree to radians.

\boxed{ \ \alpha = 720^0 \times \frac{\pi }{180^0} \ }

720° and 180° crossed out. They can be divided by 180°.

\boxed{ \ \alpha = 4 \times \pi \ }

Hence, \boxed{\boxed{ \ 720^0 = 4 \pi \ radians \ }}

- - - - - - -

<u>Another example:</u>

Convert \boxed{ \ \frac{4}{3} \pi \ radians \ } to degrees.

\alpha = \frac{4}{3} \pi \ radians \rightarrow \alpha = \frac{4}{3} \pi \times \frac{180^0}{\pi }

180° and 3 crossed out. Likewise with π.

Thus, \boxed{\boxed{ \ \frac{4}{3} \pi \ radians = 240^0 \ }}

<h3>Learn more  </h3>
  1. A triangle is rotated 90° about the origin brainly.com/question/2992432  
  2. The coordinates of the image of the point B after the triangle ABC is rotated 270° about the origin brainly.com/question/7437053  
  3. What is 270° converted to radians? brainly.com/question/3161884

Keywords: 720° converted to radians, degrees, quadrant, 4π, conversion, multiply by, pi, 180°, revolutions, the formula

6 0
3 years ago
Read 2 more answers
This is my last question it’s due at midnight can I please get help in a hurry
Sophie [7]

N = 9

explanation: If you tilt triangle FGH to where it matches triangle PQR, 9 is matched with N.

more help:

Q = G

10.5 = 7

P = F

H = R

4 = 6

9 = N

5 0
3 years ago
IM TAKING A TEST HELP
nignag [31]
What’s the question???...
5 0
3 years ago
Read 2 more answers
How do you write the name of the period that has the digits 913
Stells [14]
<span>Use the numbers 913, 256 .</span>
5 0
3 years ago
Write an equation in slope-intercept form from the linear inequality graphed in the picture.
stepladder [879]

Answer:

  • equation: y = x+3
  • inequality: y < x+3

Step-by-step explanation:

The slope of the line is 1 unit of rise for 1 unit of run, so ...

  m = rise/run = 1/1 = 1

The y-intercept is 3 grid lines above the x-axis, so is (0, 3).

Then the equation of the line is ...

  y = 1x +3

The inequality has that line as a boundary, but the y-values on the line are not part of the solution space. Only y-values below the line (less than those on the line) are in the solution. The inequality is ...

  y < x +3

3 0
3 years ago
Other questions:
  • For the functions f(x)=2x-6 and g(x)=5x+1 Which conposition produces the greatest output?
    6·1 answer
  • Alexis put $2000 in a savings account. After 4 years, she had $2543 in the account. What rate of interest did she earn? Use the
    6·2 answers
  • Simplify. 14y+1/12+2−13/4y−12
    7·1 answer
  • Help me for brainliest answer
    7·2 answers
  • If f(x) = -3x + 8<br> find f(0) = ?
    13·2 answers
  • Actually never mind i dont need help on this
    14·1 answer
  • Write your answer in simplest radical form​
    12·1 answer
  • Which expressions are equivalent to the on below select all that apply 9x
    15·2 answers
  • Malik randomly picked two different numbers from 1 to 9. The first one was odd. What is the probability that Malik picked a seco
    8·1 answer
  • P please please pa help <br><br><br>​
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!