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

Consider the equation StartFraction x over 5 EndFraction minus 2 = 11, where x represents the number of basketball players that have signed up for a new league. What is a possible scenario that would be modeled by this equation? Consider how many teams in the league and the number of players on each team this equation could describe
Jane worked 32 hours in one week. If she worked the same number of hours each day for 4 days, how many hours a day did she work? A. 8 B. 6 C. 10 D. 4
Expand 2 (x+10)What is the answear 2 (x+10)
In the xy-plane, the point (p,r) lies on the line with equation y=x+b, where b is a constant. The point with coordinates (2p,5r) lies on the line with equation y=2x+b. If p≠0, what is the value of r/p?​
A cell phone plan has a monthly cost that is shown in the table below. What is the correct statement regarding the average rate of change during the 40-minute time of talk?Total minutes of talk time Monthly cost of cell phone 0 $19.95 10 $20.45 20 $20.95 30 $21.45 40 $21.95 A.) The average rate of change is $0.50, meaning that for each minute of talk time, the monthly bill increases by $0.50. B.) The average rate of change is $0.50, meaning that for every ten minutes of talk time, the bill increases by $0.50. C.) The average rate of change is $0.05, meaning that for each minute of talk time, the monthly bill increases by $0.05. D.) The average rate of change is $0.05, meaning that for every ten minutes of talk time, the bill increases by $0.05.

A share of stock in the Lofty Cheese Company is quoted at 251/4. Suppose you hold 30 shares of that stock, which you bought at 201/4. If you sell your stock at 251/4, which one of the following statements would be true? A. You'll suffer a loss of $150. B. You'll make a profit of $15. C. You'll make a profit of $150. D. You'll suffer a loss of $15.

Answers

The true statement regarding selling stock at 25 1/4, which you bought at 20 1/4, is C. You'll make a profit of $150. You bought 30 shares at 20 1/40. 30 * 20 1/4 = 30 * 81/4 = 2430/4. You sold 30 shares at 25 1/4. 30 * 25 1/4 = 30 * 101/4 = 3030/4. So you earned more than you paid for them. The value you earned is 3030/4 - 2430/4 = (3030-2430)/4 = 600/4 = 150. So, you'll make a profit of $150.

how much material was used in the manufacture of 24000 celluloid dice,if each dice has an edge 1/4 inches?

Answers

The volume of each celluloid die is (.25 x .25 x .25) = 0.015625 cubic inch.

To manufacture 24,000 of them, you need to start with at least

(24,000) x (0.015625) = 375 cubic inches.

I don't know how celluloid is sold, so you should also keep in mind that
375 cubic inches = about 207.8 fluid ounces, or about 6.5 quarts.

I'm sure a bit more than that was used in the manufacture, since
there's always some wasted, spilled, or trimmed off of the edges.

Which letter in the word happy has an order 2 rotational symmetry

Answers

The letter H is the only one in the word "happy" that has the rotational simmetry on the order of two. In fact, if you rotate the letter H 180° clockwise or counterwise, it will still look the same; it is called "on the order of two", exactly because you've rotated it 180° (two rotations of 90°).
Answer

Letter H


Explanation
The order of symmetry is the number times an object appears exactly the same when rotated about a certain axis.
From the word  HAPPY, only letter H will have 2 order of symmetry. 
When rotated at 180°, It will look exactly the same. 
A, P, P and Y have only 1 order of symmetry. 

Mr. M has a recipe for sourdough bread. He uses 8/3 cups of flour to make 2 loaves of sourdough bread. If you were to follow the same recipe, which equation would work for making y loaves of bread with x cups of flour?

Answers

Answer:

2y=8/3x

Step-by-step explanation:

Final answer:

The equation for making y loaves of bread with x cups of flour is x = (4/3) * y.

Explanation:

To find the equation for making y loaves of bread with x cups of flour, we can set up a proportion using the given information. If Mr. M uses 8/3 cups of flour to make 2 loaves of bread, the equation would be:

(8/3 cups)/(2 loaves) = (x cups)/(y loaves)

Cross multiply and solve for x:

8/3 * y = 2x

Simplify the equation to:

4/3 * y = x

So, the equation for making y loaves of bread with x cups of flour is:

x = (4/3) * y

Learn more about Recipe for making bread here:

brainly.com/question/14872147

#SPJ12

Y=-2x
x+y=3
What is the value of x?

Answers

Step-by-step explanation:

x+y=3

y=2x

x+2x=3

x=3-2x

it's your required answer

Answer:

x=-3

If you need to find the value of y than substitute x=-3 into equation (1) .

100 points and brainest Plz help me PLZ

Answers

Answer:

○ C. The lines are perpendicular.

Step-by-step explanation:

In order for equations to be perpendicular,their rate of changes [slopes] must be OPPOSITEMULTIPLICATIVEINVERSES, which in this case is so:

− to +}

> OPPOSITE

+ to −}

MULTIPLICATIVE INVERSE [RECIPROCAL]

I am joyous to assist you at any time.

cccccccccccccccccccc