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stepladder [879]
2 years ago
14

EACH QUESTION HAS *MULTIPLE* ANSWERS

Mathematics
1 answer:
KIM [24]2 years ago
8 0

Answer:

<u>Associative Property Law</u>

Applies to <em>addition </em>and <em>multiplication </em>only.

Grouping of numbers by parentheses in a different way does not affect their sum or product.

Addition:  (a + b) + c = a + (b + c) = (a + c) + b

Multiplication:  (a × b) × c = a × (b × c) = (a × c) × b

<u>Commutative Property Law</u>

Applies to addition and multiplication only.

Changing the order or position of two numbers does not change the end result.

Addition:  a + b = b + a

Multiplication:  a × b = b × a

<u>Distributive Property</u>

Distributive multiplication over addition and subtraction:

Addition:   a(b + c) = ab + ac

Subtraction:   a(b - c) = ab - ac

<u>Identity Property of Addition</u>

Also known as the <em>identity property of zero</em>.  Adding 0 to any number does not change the number, i.e. the number keeps its identity.

a + 0 = a = 0 + a

<u>Identity Property of Multiplication</u>

Also known as the <em>identity property of one</em>.  Multiplying any number by 1 does not change the number, i.e. the number keeps its identity.

a × 1 = a = 1 × a

----------------------------------------------------------------------------------------------

4 + 3(9 + 2)

4 + (3 × 9) + (3 × 2)   distributive property

4 + 27 + 6

4 + 6 + 27   commutative property of addition

10 + 27

37

----------------------------------------------------------------------------------------------

(4 × 5) × ¹/₄

4 × (5 × ¹/₄)  associative property of multiplication

4 × (¹/₄ × 5)   commutative property of multiplication

(4 × ¹/₄) × 5  associative property of multiplication

1 × 5  identity property of multiplication

5

----------------------------------------------------------------------------------------------

(0 + 3) + 17  

0 + (3 + 17)  associative property of addition

0 + 20  identity property of addition

20

----------------------------------------------------------------------------------------------

8 + 3(1 - 2)

8 + (3 × 1) - (3 × 2)   distributive property

8 + 3 - 6

11 - 6

5

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List the sides of ΔRST in in ascending order (shortest to longest) if m∠R = 2x+47°, m∠S = x+38°, and m∠T = 4x−52°
Irina18 [472]

Answer:

ST, RS, TR

Step-by-step explanation:

(i entered it and it was right)

3 0
3 years ago
Read 2 more answers
3 - what = 11<br><br> please help with this one
SOVA2 [1]
So we can set up a simple equation for this, where the word “what” is a variable, x. This equation is 3 - x=11. Then we subtract 3 from both sides, giving us -x=8. We can divide both sides by -1, giving us x=-8. The answer would be -8. Hope this helped.
3 0
2 years ago
Suppose 72 gallons of water came out of a pipe in 8 minutes.
Masteriza [31]

Answer:

9 gallons of water per minute

Step-by-step explanation:

First identify what you know:

1) The pipe was flowing water for eight minutes.

2) In that eight minutes, 72 gallons of water came out.

So, if 72 gallons of water came out in eight minutes, how many gallons flowed out in a single minute? Well, assuming that the flow rate was consistent, then simply divide the total number of gallons that flowed out, by the number of minutes the pipe was open!

72/8 = 9

The pipe released 9 gallons of water per minute, thus resulting in 72 gallons of water in 8 minutes!

Hope this helps! :)

4 0
3 years ago
Help?<br> If (4,y) is a solution to y=2x-3, what is the value of y?
stepladder [879]

Answer: y=5

Step-by-step explanation:

Y=2(4)-3

Y=8-3

Y=5

7 0
3 years ago
Check my first two question, what am I missing?
Nutka1998 [239]

Answer:

  1. Node G has the highest degree (6), hence is the most central. Node B has the second highest degree (5), so is one of the most central. (You have also added nodes with degrees 4 and 3. I might not.)
  2. Node F has the same structure as Node D. (Your answer agrees.)
  3. See the right-most column of the attachment.

Step-by-step explanation:

1. Only one "actor" (G) has the highest degree, 6. That corresponds to selection E. Whether you include other actors in your list of "most central" depends on your interpretation of that term. My interpretation is that only the node with highest degree is of interest here.

2. Node that are structurally equivalent are ones with the same set of neighbors. Nodes D and F both have E and G as neighbors, so are structurally equivalent. Selection A is appropriate.

3. The problem seems to be to list the neighbors and add their degrees for any given actor. The attachment does that. The measure C(x) is listed in the rightmost column for each actor x listed in the leftmost column.

5 0
3 years ago
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