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

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

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.

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?

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

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°).

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?

2y=8/3x

Step-by-step explanation:

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

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

Step-by-step explanation:

x+y=3

y=2x

x+2x=3

x=3-2x

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

○ 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.

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