1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Charra [1.4K]
3 years ago
15

Melissa has three different positive integers. She adds their reciprocals together and gets a sum of $1$. What is the product of

her integers? Melissa has three different positive integers. She adds their reciprocals together and gets a sum of $1$. What is the product of her integers?
Mathematics
2 answers:
ryzh [129]3 years ago
6 0

Answer:

36

Step-by-step explanation:

Let the three positive integers be x, y, and z. Then

1/x + 1/y + 1/z = 1

Assume x = 2.

Then 1/x = ½ and 1/y + 1/x = 1/2

Divide the second portion (1/y + 1/z) into three parts.

3/6 = 1/6 + (1/6 +1/6)

Combine two of the fractions.

1/2 = 1/6 + 2/6

1/2 = 1/6 + 1/3

1/2 + 1/3 + 1/6 = 1

The integers are 2, 3, and 6.

2 × 3 × 6 = 36

The product of Melissa’s integers is 36.

Whitepunk [10]3 years ago
4 0

If the three integers are a,b,c, then we have

\dfrac1a+\dfrac1b+\dfrac1c=1

We can combine the fractions on the left side:

\dfrac{bc}{abc}+\dfrac{ac}{abc}+\dfrac{ab}{abc}=\dfrac{bc+ac+ab}{abc}=1

\implies abc=bc+ac+ab

You might be interested in
Choose the system of equations which makes the following graph:
solmaris [256]

(5 | -2) should be the solution of the equations

So it workt for c)

c)

3*(5) - 5*(-2) = 25

(5) + 5*(-2) = -5

6 0
3 years ago
Find y<br> I will give brainlist
Arada [10]
Ok this one is easier than you might think. The line equals 180 degrees since it is a straight line, therefore you need to do 180-27 to get what y equals. Y=153
6 0
3 years ago
Read 2 more answers
Amanda teaches all of the bass and viola students. All of her classes have the same number of students. Each class has the great
alexandr402 [8]

Answer:

5 classes - 2 bass classes and 3 viola classes.

Step-by-step explanation:

Find the greatest common factor (GCF)

List the factors of 20 and 30:

20: 1, 2, 4, 5, 10, 20

30: 1, 2, 3, 5, 6, 10, 15, 30

The greatest factor that both numbers share is 10.

Therefore, there are 10 students in each class. So, she teaches 2 bass classes and 3 violas classes.

hope this helps! <3

6 0
1 year ago
A​ 12-sided die is rolled. The set of equally likely outcomes is {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12} . Find the probability
Free_Kalibri [48]

Answer:

11/12

Step-by-step explanation:

Greater than 1: 2,3.... 12

P(greater than 1) = 11/12

7 0
3 years ago
Read 2 more answers
As part of a college literature course, students must select three classic works of literature from the provided list and comple
monitta

Answer:

B. List each book on a separate piece of paper, place them all in a hat, and pick three

D. Number the books from 1 to 9 and use a random number table to produce 3 different one digit numbers corresponding to the books selected

Step-by-step explanation:

A simple random sample is a subset of a statistical population where every member has an equal chance of being selected.For example in a company with 500 workers, names of 100 workers can be selected from a hat containing the names of 500 workers.

8 0
3 years ago
Read 2 more answers
Other questions:
  • The force of an object (f) is equal to its mass (m) times its acceleration (a). Thus, the formula for calculating force is f = m
    7·2 answers
  • Please help need answer quick
    15·2 answers
  • Which expression represents the prime factorization of 450? A. 2 x 3 x 5 x 5 B. 2 x 2 x 5 x 5 C. 2 x 3 x 3 x 5 x 5 D. 2 x 2 x 3
    8·1 answer
  • Justine answered 68 questions correctly on an 80-question test. Express this amount as a fraction,percent, and decimal.
    15·2 answers
  • What is the solution to the inequality −2<br> x −98<br> x &lt; −98
    7·1 answer
  • Jeans are on sale for 20% off the regular price. Which function would give you the total cost for purchasing a pair of jeans tha
    5·1 answer
  • How many solutions does the equation 5x-8=3x+8​
    11·2 answers
  • A van travels 150 miles on 6 gallons of gas. How many gallons will it need to travel 325 miles?
    15·1 answer
  • I dont really understand this so can someone help me please!
    12·1 answer
  • Tell whether the data in the table can be modeled by a linear equation. Explain.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!