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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>

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A box has length 8 feet, width 4 feet, and height 3 inches. Find the volume of the box in cubic feet and in cubic inches.
coldgirl [10]

The volume of a box in cubic inches = 13,824 cubic inches

The volume of a box in cubic feet = 8 cubic feet

<h3>What is the Volume of a box?</h3>

The volume of a box = (length)(width)(height).

Give the following:

Length of the box = 8 feet

Width of the box = 4 feet

Height of the box = 3 inches

Convert the length and width to inches (1 foot = 12 inches)

Length of the box = 8 feet = (8)(12) = 96 inches

Width of the box = 4 feet = (4)(12) = 48 inches

Height of the box = 3 inches = 3/12 = 0.25 ft

The volume of a box in cubic inches = (96)(48)(3) = 13,824 cubic inches

The volume of a box in cubic feet = (8)(4)(0.25) = 8 cubic feet

Learn more about the volume of a box on:

brainly.com/question/14957364

#SPJ1

8 0
1 year ago
Two different formulations of an oxygenated motor fuel are being tested to study their road octanenumbers. The variance of road
Lyrx [107]

Answer:chomai

Step-by-step explanation:chomai

3 0
3 years ago
A research analyst for a car rental agency found that the probability distribution function for the age of the rental car (in ye
alexdok [17]

Answer:

10 years

Step-by-step explanation:

Given

Decline from (0,h) to (10,0)

See attachment for graph

Required

Determine the age when height = 0

The function of the graph is represented as: (age, height)

So, we need to read from the graph the corresponding value of age (on the x-axis) when height = 0 (i.e. the y-axis)

From the attached graph;

age = 10 when height = 0

<em>Hence, the age of the car is 10 years</em>

4 0
3 years ago
What is the domain of the function f(x) = x+1 / x2-6x+8
Ostrovityanka [42]

For this case we have that by definition, the domain of a function, is given for all the values for which the function is defined.

We have:

f (x) = \frac {x + 1} {x ^ 2-6x + 8}

The given function is not defined when the denominator is equal to zero. That is to say:

x ^ 2-6x + 8 = 0

To find the roots we factor, we look for two numbers that when multiplied give as a result "8" and when added as a result "-6". These numbers are:

-4-2 = -6\\-4 * -2 = 8

Thus, the factored polynomial is:

(x-4) (x-2) = 0

That is to say:

x_ {1} = 4\\x_ {2} = 2

Makes the denominator of the function 0.

Then the domain is given by:

All real numbers, except 2 and 4.

Answer:

x |x≠2,4

7 0
3 years ago
Maria has three children. there is two years age difference between each child. the total ages of all three children is 36 years
BaLLatris [955]
T= Tina's age
t+2= second child
t+4= third child
36= age of all children

Add the ages of all children equal to 36 years. Add 2 to each age because there is 2 years age difference between each child.

t + (t+2) + (t+4)= 36
combine like terms
3t + 6= 36
subtract 6 from both sides
3t= 30
divide both sides by 3
t= 10 Tina's age

t+2= 12
(10)+2= 12 age of second child

t+4= 14
(10)+4= 14 age of third child

ANSWER: The formula that will calculate Tina's age is t + (t+2) + (t+4)= 36.

Hope this helps! :)
6 0
3 years ago
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