# 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

Solve the equation for a: r=a+k/b a= ?

r = a + k/b

a = r - k/b

a = 1/b (r.b - k)

A driveway is 10 feet long, 15 feet wide, and 7 inches deep. how many cubic feet of concrete will be required for the driveway? round your answer to the nearest cubic foot, if necessary.

The amount of concrete that will be required for the driveway is 151200 cubic inches.

### What is volume?

Volume is a collection of two - dimensional points enclosed by a single dimensional line. Mathematically, we can write volume as -

V = ∫∫∫ F(x, y, z) dx dy dz

Given is that a driveway is 10 feet long, 15 feet wide, and 7 inches deep.

The amount of concrete that will be required for the driveway will be equal to the volume of the driveway.

V = 10 x 12 x 15 x 12 x 7

V = 120 x 180 x 7

V = 21600 x 7

V = 151200 cubic inches

Therefore, the amount of concrete that will be required for the driveway is 151200 cubic inches.

To solve more questions on Volumes, visit the link-

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88

Step-by-step explanation:

V=l x w x h

(10) (15) (.58) = 87.5. Rounding=88

remember it's 7 inches not feet. 7/12=.58

Translate the sentence into an equation.
Seven times the sum of a number and 5 equals 2.

Answer: 7(x + 5) = 2

Step-by-step explanation:

Use the variable x to represent the number

7(x +5) = 2

7(x+5)=2              x= -33/7

Step-by-step explanation:

Explanation:

There is a theorem in geometry that says:

In a circle, if two chords are equal in measure, then their corresponding minor arcs are equal in measure.

Those small tick marks on each of the chords means that they are equal in measure. So, following the theorem, the arcs are also equal in measure.

If they are equal and

arc AB = arc CB

arc AB = 24 feet

Then

arc CB = 24 feet

by substitution.

Miriam has 62 feet of fencing to make a rectangular vegetable garden. Which dimensions will give Miriam the garden with greatest area.

Given:
62 feet of fencing = perimeter

P = 2 (L + W)

62/2 = 31
16 + 15 = 16 * 15 = 240 ft²
17 + 14 = 17 * 14 = 238 ft²
18 + 13 = 18 * 13 = 234 ft²
19 + 12 = 19 * 12 = 228 ft²
20 + 11 = 20 * 11 = 220 ft²

The best dimensions that will give the greatest area is to have a length of 16 feet and a width of 15 feet.