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
NemiM [27]
3 years ago
9

How many different positive integers can be represented as a difference of two distinct members of the set {1, 2, 3, 4, 5, 6}?

Mathematics
1 answer:
slega [8]3 years ago
5 0

For the difference to be positive, when both the minuend and the subtrahend are positive, the former must be greater than the latter.

Therefore

minuend = 2 ⇒ subtrahend = 1 ← 1 number

minuend = 3 ⇒ subtrahend = 1,2 ← 2 numbers

minuend = 4 ⇒ subtrahend = 1,2,3 ← 3 numbers

minuend = 5 ⇒ subtrahend = 1,2,3,4 ← 4 numbers

minuend = 6 ⇒ subtrahend = 1,2,3,4,5 ← 5 numbers

1+2+3+4+5=<u>15</u>

You might be interested in
How many and what type of solutions does the equation have?<br> 5y2 = 187 – 4
Gennadij [26K]

Answer:

Two solutions.

5 0
3 years ago
Two positive integers have a sum of 10 and a product of 21. What are the integers?
lara [203]

Answer:

<h2>3 and 7</h2>

Step-by-step explanation:

x,y-\text{positive integers}\\\\\text{The system of equations:}\\\\\left\{\begin{array}{ccc}x+y=10&\text{subtract}\ y\ \text{from both sides}\\xy=21\end{array}\right\\\\\left\{\begin{array}{ccc}x=10-y&(1)\\xy=21&(2)\end{array}\right\\\\\text{substitute (1) to (2):}\\\\(10-y)(y)=21\qquad\text{use the distributive property}\ a(b-c)=ab-ac\\\\10y-y^2=21\qquad\text{subtract 21 from both sides}\\\\-y^2+10y-21=0\qquad\text{change the signs}\\\\y^2-10y+21=0\\\\y^2-3y-7y+21=0\\\\y(y-3)-7(y-3)=0

(y-3)(y-7)=0\iff y-3=0\ \vee\ y-7=0\\\\y-3=0\qquad\text{add 3 to both sides}\\\\y=3\\\\y-7=0\qquad\text{add 7 to both sides}\\\\y=7\\\\\text{Put the value of}\ y\ \text{to (1):}\\\\x=10-3=7\ or\ x=10-7=3

7 0
3 years ago
A couple quick algebra 1 questions for 50 points!
kkurt [141]

Answer:

Question 6) Neither (Not an inverse variation)

Question 7) Inverse variation

Question 8) Inverse variation

Step-by-step explanation:

These are the two formulas we need to know prior to solving the question.

Direct variation: c times x

Inverse variation: c times 1/x --> c/x

- Here, c is the constant

6. y = x + 7

This is neither. It is not in the form of a direct, or inverse variation, so it does not belong in any category.

7. 14 = xy

This equation is an inverse variation.

xy = 14

y = 14/x

14 is the constant, and the format is the same as for an inverse variation.

8. x = -8/y

This equation is an inverse variation.

yx = -8

y = -8/x

-8 is the constant, and the format is the same as for an inverse variation.

So we can conclude that questions 7 and 8 is an inverse variations, while question 6 isn't.

6 0
2 years ago
Read 2 more answers
How do you multiply (5 4/7)(-2 2/5)​
dimulka [17.4K]

Answer:

you have to change the fraction to have the same denominator then you multiply the the numbers

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
A machine can fill 650 bottles in 25 minutes. What is the unit rate at which the machine fills the bottles?
Alchen [17]
I dont know the answer im just here for points

6 0
3 years ago
Other questions:
  • Find the equation of the line using the point-slope formula. Write all the final equations
    13·1 answer
  • An electrician cuts always a 7.2inch long section of drywall to make repairs to the electrical system.He has several scraps of d
    5·1 answer
  • Line AB contains points A (−2, 3) and B (4, 5). Line AB has a slope that is
    14·2 answers
  • What is -2x + 12 divided by 4
    11·1 answer
  • If the weight of female high school students closely follows the normal distribution with a mean of 125 pounds and a standard de
    5·1 answer
  • Nine million ninety thousand nine hundred and ninety-nine ten-thousandths
    9·1 answer
  • A small radio transmitter broadcasts in a 31 mile radius. If you drive along a straight line from a city 38 miles north of the t
    9·1 answer
  • What is the midpoint of (-2,-2) and (2,6)
    12·2 answers
  • Question : -7+(-13)
    5·2 answers
  • 100 POINTS AND BRAINLIEST TO WHOEVER SOLVES IT
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!