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
slava [35]
3 years ago
14

What is the smallest of 3 consecutive positive integers if the product of the smaller two integers is 5 less than 5 t imes the l

argest integer?
Mathematics
2 answers:
givi [52]3 years ago
7 0
The answer is x= 5 
Hope this helps!
frozen [14]3 years ago
6 0
Consecutive positive integers will be three numbers right in a row on the number line.

x= 1st integer
x+1= 2nd integer
x+2= 3rd integer

product= multiply
less than= subtraction
is= equal sign


FIRST INTEGER
(x)(x + 1)= (5)(x + 2) - 5
multiply both sets of parentheses 1st

(x*x) + (x*1)= (5*x) + (5*2) - 5
multiply within parentheses

x^2 + x= 5x + 10 - 5
combine like terms

x^2 + x= 5x + 5
subtract 5x from both sides

x^2 - 4x= 5
subtract 5 from both sides

x^2 - 4x - 5= 0
factor

(x + 1)(x - 5)= 0
set each parentheses equal to 0

x + 1= 0
x= -1

x - 5= 0
x= 5 first integer

***since the integers are positive, x has to be equal to 5, not -1

SECOND INTEGER
= x + 1
= 5 + 1
= 6 second integer

THIRD INTEGER
= x + 2
= 5 + 2
= 7 third integer


ANSWER: The smallest of three consecutive positive integers is 5.

Hope this helps! :)

You might be interested in
Which formula gives the area of a parallelogram? (3)
SVEN [57.7K]

Answer:

A = bh (the last one)

Step-by-step explanation:

To find the area of a parallelogram, multiply the base by the height. The formula is: A = B * H where B is the base, H is the height, and * means multiply. The base and height of a parallelogram must be perpendicular.

5 0
3 years ago
What percent of 390 is 39?
Brums [2.3K]
I believe 10% because 390 and 39 are exactly the same numbers almost
5 0
2 years ago
Read 2 more answers
Please help me out with equations in math!<br> Its a starr review!
Alexeev081 [22]

Answer:

F

Step-by-step explanation:

Multiply -3 by 6.5 and you'll get your answer :)

I hope I helped!

4 0
2 years ago
Factor x2 – 8x + 15.<br> Which pair of numbers has a product of ac and a sum of b?
Troyanec [42]
-5 and -3 are your numbers. 
7 0
3 years ago
How many cm3 is in 1 liter? i just wondering...
natali 33 [55]
Hello,

1 liter of water in normal conditions has a volume of 1dm^3=(1dm)^3=(10 cm)^3=10^3 cm^3=1000 cm^3

4 0
3 years ago
Other questions:
  • Store has apples for $3 for 2 pounds. How many pounds of apples can you buy for $9. If an apple is approximately 5 ounces how ma
    8·1 answer
  • In his first five basketball games, Neal scored 10, 11, 11, 12, and 16 points. What is the mean absolute deviation for this set
    15·2 answers
  • Find the diameter of a circle with an area<br> of 415.48 square inches.
    7·1 answer
  • What two facts can you double to find 8x4?
    9·1 answer
  • 14 inches to 2 yards
    12·2 answers
  • the sales tax in one town is 8%. So, the total cost of an item can be written as c + 0.08c. What is the total cost of an item th
    12·2 answers
  • Please answer this correctly without making mistakes.I want ace expert and genius people to answer this correctly without making
    12·2 answers
  • Which group of numbers is listed from least to greatest?
    15·2 answers
  • WHAT IS 8x8?????? LIKE FR
    15·2 answers
  • A display case of wallets are marked 32 for $5. If Tim has $80, how many wallets can Tim get? (Assume no tax or other fees.)
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!