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
Romashka-Z-Leto [24]
2 years ago
8

Two consecutive odd whole numbers are selected. The difference between the reciprocals of the two numbers is 2/143. Determine th

e two numbers.
Mathematics
1 answer:
nikklg [1K]2 years ago
5 0

Answer:

  11 and 13

Step-by-step explanation:

Suppose the smaller one is x. Then the difference of their reciprocals is ...

  \dfrac{1}{x}-\dfrac{1}{x+2}=\dfrac{(x+2)-(x)}{x(x+2)}=\dfrac{2}{x(x+2)}

This tells us that x will be the smaller of the two factors of 143:

  143 = 11×13

  x = 11

The two numbers are 11 and 13.

You might be interested in
Volunteer drivers are needed to bring 80 students to the championship
s2008m [1.1K]

Answer:

c=5 v=10

Hoped I helped

7 0
3 years ago
So the people who are good at math Im going to ask 17 questions that invlove math so if u want 20 points in each question then g
PilotLPTM [1.2K]

Answer: ok will do

Step by step explanation

3 0
2 years ago
Linda won $200,000 in a state lottery. She first paid income tax on 30% on the winnings. She invested some of the rest at 1.5% a
Lady_Fox [76]

She invested $ 50000 at 1.5% rate and $ 90000 at 4% rate.

<u><em>Explanation</em></u>

Total amount of winnings = $ 200000

She first paid income tax on 30% on the winnings. So, the amount paid as income tax =(200000*0.30)dollar=60000 dollar.

<u>Remaining amount</u> = $ 200000 - $ 60000 = $ 140000

Suppose, she invested  x dollar at 1.5% rate.

That means, she invested (140000-x) dollar at 4% rate.

Given that, the total amount of interest earned = $ 4350

So, the equation will be.....

0.015x+0.04(140000-x)=4350\\ \\ 0.015x+5600-0.04x=4350\\ \\ -0.025x= 4350-5600\\ \\ -0.025x=-1250\\ \\ x= \frac{-1250}{-0.025}=50000

So, amount of investment at 1.5% rate = $ 50000

and amount of investment at 4% rate = $ 140000 - $ 50000 = $ 90000  


5 0
3 years ago
How are geometric sequences similar to arithmetic sequences? How are they different?
ollegr [7]
The differences between arithmetic and geometric sequences is that arithmetic sequences follow terms by adding, while geometric sequences follow terms by multiplying. The similarities between arithmetic and geometric sequences is that they both follow a certain term pattern that can't be broken. There you go
3 0
2 years ago
Tony allows his customers to create their own pizza. The customers choose exactly one type of crust, sauce, cheese, and meat for
Natalka [10]

In cases like these, you simply have to multiply the choices you have for each step.

In fact, you can choose between 4 different crusts. For each of these crusts you can choose 4 different sauces. This means that there are 4\cdot 4 = 16 choices at this point. In fact, if we call the crust options 1,2,3,4 and the sauce options A,B,C,D, the 16 possible combinations are

1A,\ 1B,\ 1C,\ 1D,\ 2A,\ 2B,\ 2C,\ 2D,\ 3A,\ 3B,\ 3C,\ 3D,\ 4A,\ 4B,\ 4C,\ 4D

From here, you keep going multiplying the number of options for each step, for a total of

4\cdot 4 \cdot 3 \cdot 4 = 192

4 0
3 years ago
Read 2 more answers
Other questions:
  • Need help with last one SOS
    12·1 answer
  • The sum of two numbers is 35. Three times the larger number is the same as 4 times the smaller number. Find the smaller number
    12·1 answer
  • A dilation with a scale factor of 2 is applied to the three line segments shown. The resulting images are P′Q′¯¯¯¯¯¯¯ , A′B′¯¯¯¯
    7·1 answer
  • What is the surface of the figure?<br><br> A. 136<br> B. 234<br> C. 236<br> D.246
    9·1 answer
  • Find the total cost of a $20<br> lunch with an 18% tip.
    6·1 answer
  • What is the answer???
    6·1 answer
  • Convert the line into slope intercept form: 3x + 5y =-15
    6·1 answer
  • Craig likes to collect records. Last year he had 14 records in his collection. Now he has 23 records. What is the percent of cha
    8·1 answer
  • Renee recieved $35.75 for selling 55 candy bars for a school fundraiser. At what rate was Renee selling each candy bar?
    12·2 answers
  • On a number line, the directed line segment from q to s has endpoints q at –14 and s at 2. point r partitions the directed line
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!