All categories

2 years ago

The reciprocal of a number is added to three.The result is the quotient of 25 and the number. Find the number

Mathematics

1 answer:

Firdavs [7]2 years ago

5 0

Answer:

Step-by-step explanation:

Let x represent the number. Then the reciprocal is 1/x. The quotient of 25 and the number is 25/x. The problem statement tells us ...

3 + 1/x = 25/x

Subtracting 1/x, we have ...

3 = 24/x

x = 24/3 = 8 . . . . . . . . multiply by x/3

The number is 8.

You might be interested in

What is<br> x=3y-1<br> x=-2y+9

-Dominant- [34]

Are you to combine the answer or are they 2 separate equations you need to solve for y?

8 0

2 years ago

Read 2 more answers

The letters of the alphabet are written on cars and placed in a brown paper bag. What is the probability of drawing a vowel, rep

Oksanka [162]

Answer:

25 / 676

Step-by-step explanation:

There are 5 vowels in the alphabets, and there are 26 alphabets in total as a whole.

The probability of drawing a vowel kb first trial is going to be

5 / 26, total number of vowels and total number of alphabets as a whole.

Again, we're told to replace the picked vowel, and pick another vowel, so that will once again be

5 / 26.

To get the final answer, we multiply both answers by each other

5 / 26 * 5 / 26 = 25 / 676.

Therefore, the probability has been found to be 25 / 676

6 0

2 years ago

Determine the greatest common factor of 15xy^7z and 30x^2y^7z

yawa3891 [41]

Answer:

$15x {y}^{7} z$

Step-by-step explanation:

<h3>Factorize the Expressions</h3>

$15x {y}^{2} z = 3 \times 5 \times x \times y \times y \times y \times y \times y \times y \times y \times z$

$30 {x}^{2} {y}^{7} z = 2 \times 3 \times 5 \times x \times x \times y \times y \times y \times y \times y \times y \times y \times z$

<h3>Factor out the Common Factors</h3>

$gcf = 3 \times 5 \times x \times y \times y \times y \times y \times y \times y \times y \times z$

<h3>Multiply the Common Factors</h3>

$3 \times 5 \times x \times y \times y \times y \times y \times y \times y \times y \times z = 15x {y}^{7} z$

The Factored expressions are

$15x {y}^{7} z$

And

$15x {y}^{7} (2x)$

5 0

2 years ago

A department store is offering a discount on purchases of $75 or more. Monica sees a pair of

pantera1 [17]

She needs to spent 14.55 more

7 0

2 years ago

A teacher is cutting pieces of tape for the marshmallow challenge.The roll of tape is 16.8 meters long and each piece measures 1

Zanzabum

Given:

Total length of tape in roll = 16.8 meters

Length of each piece = 1.125 meters

Number of pieces = 8

To find:

The remaining tape.

Solution:

We have,

Length of 1 piece = 1.125 meters

Length of 8 piece = 8 × 1.125 meters

= 9 meters

Total length of tape in roll = 16.8 meters

Remaining tape = Total length of tape in roll - Length of 8 piece

= 16.8 - 9 meters

= 7.8 meters

Therefore, the length of remaining tape is 7.8 meters.

4 0

2 years ago