MATHEMATICS HIGH SCHOOL

1) what is the meaning of commutative property?2)what is the meaning of distributive property?
3)what is the meaning of associative property?

Answers

Answer 1
Answer: Commutative Property- is only applicable to addition and multiplication.
Like- a + b = b + a
     That means we can swap numbers in addition.(The answer is the same)
a x b = b x a
    That means we can swap numbers in multiplication.(The answer is the same)
 
Commutative is not applicable to subtraction and division as
a - b (is not) = b - a
And a / b (is not) = b / a

Distributive Property- Means we can distribute a number in to two parts and still get the same answer, applies to only addition and multiplication and-

Here lets take 2 and 4 as examples-

For addition-
2 + 4 + 3 = 9
(2 + 4) + 3 = 9         

For multiplication-
2 x 4 x 5 = 40
(2 x 4) x 5 = 40                

Associative Property- Means that you may change the order of the numbers but the answer is the same, much like commutative, its just that it applies to more than 3 numbers- (Addition and Multiplication only)

For addition-
2 + 3 + 4 = 9
3 + 2 + 4 = 9 also

For multiplication-
2 x 3 x 4 = 24
4 x 2 x 3 = 24 also

That's it!
 
    Hope I helped!
Answer 2
Answer: Communitive:a+b=b=a \n a*b=b*a \n \n Distributive:a(b+c) = ab+ac \n \n Associative:(1+2)+3=1+(2+3)

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Use elimination to solve this system of equations. X-4y=-11 and 5x-7y=-10

Answers

x-4y=-11<=> -5x + 20y = 55
                      5x - 7y    = -10
                =>0*x + 13*y = 45 => y =45/13 => x = 4*(45/13) -11 = 180/13 -11 =>
x = 37/13;

A line with a slope of 0 contains the point (3,4) . The point -2,? is also on the line. What is the missing y-coordinate?The solution is ___________

please don't use files

Answers

Answer:

4

Step-by-step explanation:

If the slope is 0, the line is horizontal and the y-coordinate is 4 for all x values.

Thus the missing y-coordinate is 4.

Simplify the expression 10-4x(6+5-1) divided by 8+7

Answers

Simple,

writing out the problem...

(10-4x(6+5-1))/(15)

Simplify it...

-4x(6+5-1)

-4x(11-1)

-4x(10)

-40x

Making it look like...

(10-40x)/(15)

Cancel out the common factors...

Thus making the answer:

- (2(4x-1))/(3).

The number of plastic straws produced by a machine varies directly as the amount of time the machine is operating. If the machine produces 20,000 straws in 8 hours, how many straws can it produce in 50 hours?

Answers

Given is the direct relationship between number of produced straws and the hours of operating machine.

Given that 20,000 straws are produced in 8 hours of machine's operation.

Let's assume that 'x' straws are produced in 50 hours of machine's operation.

Using the concept of proportions, x straws in 50 hours would be proportional to 2000 straws in 8 hours.

(X \;straws)/(50 \;hours) =(20,000 \;straws)/(8 \;hours) \n\n(X \;straws)/(20,000 \;straws) =(50 \;hours)/(8 \;hours) \n\n(X)/(20,000) =(50)/(8) \n\nCross \;multiplying \n\n8*X = 50*20000 \n\n8X = 1,000,000 \n\n(8X)/(8) =(1,000,000)/(8) \n\nX=125,000 \;straws

Hence, total 125,000 straws would be produced in 50 hours.

Solve. 10/3x + 4/3 = 7+x/2x
A) X = 1/3
B) X = 17/5x
C) X = 1/5
D) X = 1/6

Answers

well multiply both sides by 6x and you get 20+ 8x = 21 + 3x. so x=1/5 so (C)

Provide an appropriate response.39) Find a set of 7 scores that has the same mean but a smaller standard deviation than the
set {65, 71, 77, 80, 82, 90, 96}.

Answers

You don't even have to look up the definition of 'standard deviation'.  You only
have to remember that 'smaller standard deviation' means 'less spread-out'.

First, let's find the mean (average).  It's not supposed to change:

1/7th of (65 + 71 + 77 + 80 + 82 + 90 + 96) = 561/7 = 80 and 1/7 .

Now, just pick 7 scores that total 561 and are all bunched up.

The easiest way would be 80, 80, 80, 80, 80, 80, 81 .
But that's so easy that it feels like cheating.

Let's say 77, 78, 79, 80, 81, 82, and 84 .
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