One number is 5 times another. The sum of their reciprocals is 2/5. Determine the smaller number.

Answers

Answer 1
Answer: so x=5y
reciprocal of x=1/x then

sum of reciprocals means 1/x+1/y=2/5
subsitute x=5y for x in 1/x+1/y=2/5 and get
1/5y+1/y=2/5
multiply 1/y by 5/5 to make it 5/5y so you can add since the denomenators (bottom number) are the same

1/5y+5/5y=2/5
6/5y=2/5
multiply both sides by 5y
6=2y
divide both sides by 2
3=y
put this into x=5y so 
x=5(3)
x=15
y=3

Related Questions

Pls find m<1 TYSM! **the answer is not 40**
Factorise fully 9x squared - 6xy
How many times does 4 go into 48?
What is made up of two expressions that are equal in value to each other
Which equation has the same soultions as x^2+6×-7=0

On Monday, it took Helen 3 hours to do a page of science homework exercises. The next day she did the same number of exercises in 2 hours. If her average rate on Monday was pexercises per hour, what was her average rate the next day, in terms of p?

Answers

p- it is amount of exercises
average= (exercises)/(hour)
Monday average= (p)/(3h)
Tuesday average= (p)/(2h)
If we take into account both days and calculate average from Monday and Tuesday ( we sum 3h on Monday and 2 hours on Tuesday and p exercises on Mon and p exercises on Tuesday):
Monday and Tuesday average=(2p)/(5)

What is the domain of the relation {(2, 8), (0, 8), (–1, 5), (–1, 3), (–2, 3)}?

Answers

The domain is simply all of the x values.

We have a 2, 0, -1, -1, and -2.

Get rid of duplicates, so 2, 0, -1, and -2.

We're going to want to order those, so -2, -1, 0, and 2.

And put some fancy brackets on that. {-2, -1, 0, 2}
Domain          Range
    -1                    3
     0                    5
     2                    8
     3

The domain of the relation {(2, 8), (0, 8), (-1, 5), (-1, 3), (-2, 3)} is {-1, 0, 2, 3}.

Inequality for 3x+1>x-1

Answers

Answer:

x>-1

Step-by-step explanation:

solve this normally like a linear equation

3x + 1 >x-1

collect like terms

3x-x>-1-1

2x>-2

x>-2/2

x>-1

When her number is divided by 12, the remainder is 6, what is the remainder when the number is idvided by 9?

Answers

Remainder: 6 when divided by 12
So 12x6= 72
Original number: 72
72/9= 8
The remainder: 8

Find the coordinates of the other endpoint of the segment, given midpoint(-9,-11) &endpoint(-6,-8).

Answers

Answer:

((-6 + x)/2, (-8 + y)/2) = (-9, -11)

(-6 + x)/2 = -9 (-8 + y)/2 = -11

-6 + x = -18 -8 + y = -22

x = -12 y = -14

The other endpoint is (-12, -14).

Year 9 students from a school were asked to choose one language to study this table shows information on their choices.language number of students
french 17
german 35
itallian 38

Answers

Answer:

Step-by-step explanation: