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
Sonja [21]
2 years ago
11

PLEASE HELP! A positive number is 1/3 of another number. The sum of the numbers is five less than the square of the larger numbe

r. Find the numbers. PLEASE SHOW WORK Thanks!
Mathematics
1 answer:
antoniya [11.8K]2 years ago
7 0

Answer: The numbers are 1 and 3.

Step-by-step explanation:

Let x = smaller number , y= larger number.

As per given,

x=\dfrac{y}{3}   ...(i)

x+y=y^2-5       ...(ii)

Put value of x from (i) in (ii)

\dfrac{y}{3}+y=y^2-5\\\\\Rightarrow\ \dfrac43y=y^2-5\\\\\Rightarrow\ 3y^2-4y-15=0\\\\\Rightarrow\ 3y^2-9y+5y-15=0\\\\\Rightarrow\ 3y(y-3)+5(y-3)=0\\\\\Rightarrow\ (y-3)(3y+5)=0\\\\\Rightarrow\ y=3 \ \ or\ y=\dfrac{-5}{3}

Since numbers are positive , so y=3 is correct.

And x will be 1  [from (i)]

Hence, the numbers are 1 and 3.

You might be interested in
PLEASE HELP ME QUICKLY
Bumek [7]

Answer:

10

Step-by-step explanation:

theres your answer now u help me

8 0
3 years ago
Read 2 more answers
Plz help ASAP need problem quickly thx
dezoksy [38]

Answer:

A

Step-by-step explanation:

2(3) + (3) = 9

3(3) - 2(3) = 3

6 0
3 years ago
Read 2 more answers
A homeless shelter has beds for 20 men and 4 women. What percentage of the beds at the shelter are for men? Round the answer to
Kazeer [188]
83.33% is the answer

6 0
3 years ago
Find an equation of the tangent line to the curve <br> xey + yex = 5
Harman [31]
I got:

<span>y′=(−y<span>e^−x</span>−e^y)/xe^y+e^x</span>
then plugged in x and y and got slope of (-5-e^5)
and ended with equation of y=(-5-e^5)x+5

I'm not sure with my solution though i hope this might help you.

I hope my answer has come to your help. Have a nice day ahead and may God bless you always!
8 0
3 years ago
mix 1 part of shampoo to six parts of warmwater.How much water do you need to mix with 200 ml of shampoo?
borishaifa [10]
For every one part, or in this case 200 ml of shampoo, there are three parts water. This means that there is 6 times more water than shampoo. 200 * 6 = 1200 ml of water
8 0
2 years ago
Other questions:
  • Mr. Brooks is buying felt to cover a triangular putting green of his miniature golf course. The base of the green is 4 feet wide
    10·2 answers
  • I need help ive completely forgot about like terms over the years
    14·1 answer
  • What is the equation for twice a number less 13 is 53
    9·1 answer
  • What is the result when 4x4 + 6x3 – 19x2 – 8x – 10 is divided by x + 3? If
    13·1 answer
  • This exercise involves the formula for the area of a circular sector. find the area of a sector with central angle 3π/5 rad in a
    5·1 answer
  • Which table represents a liner function?
    14·1 answer
  • Find the percent of change. Round to the nearest whole percent &amp; state whether the percent of change is an increase or a dec
    11·1 answer
  • Im confused can someone please tell me if this is able to answer?
    8·1 answer
  • Find the simple interest earned on a deposit of $2,800 that earns 2% annual interest after 5 years.
    9·1 answer
  • PLEASSSSEEEE NEED HELP FAST
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!