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vovangra [49]
3 years ago
12

Which of the following is a valid use of the associative property of addition?

Mathematics
2 answers:
nekit [7.7K]3 years ago
8 0

\text{Associative property:}\\\\a+(b+c)=(a+b)+c\\\\\text{Find the equation that matches with the associative property formula}\\\\\text{When you add them, you should get the same answer no matter what}\\\text{position the numbers are in}\\\\(23+15)-5\\\\38-5=33\\\\23+15-5\\\\38-5=33\\\\\text{This means that A would be your answer}\\\\\boxed{A. (23 + 15) - 5 = 23+ (15 - 5)}

Natasha_Volkova [10]3 years ago
3 0

Answer:

A

Step-by-step explanation:

(25+15)-5=40-5=35

25+(15-5)=25+10=35

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Answer:

B

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omeli [17]
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hichkok12 [17]

Answer:

The coordinates of C(22/3, 7)

Step-by-step explanation:

Partitioning between two points A and B in the ratio a:b.

The x-coordinate of the point of partition C is found at

XC = XA*(b/(a+b)+XB(a/(a+b) ..............(1)

Similarly, the x-coordinate of the point of partition is found at

YC = YA*(b/(a+b)+YB(a/(a+b)...............(2)

Given A(8,8), B(4,2), partition ratio of A:B = 1:5,

substitute in (1)

XC = 8*5/6+4*1/6 = 44/6 = 22/3

YC = 8*5/6 + 2*1/6 = 42/6 = 7

The coordinates of C(22/3, 7)

7 0
3 years ago
A man is five times as old as his son. Four years ago the man was thirteen times as old as his son.
skad [1K]

Answer:

Age of son = 6 years

Age of man = 5×6 = 30 years

Step-by-step explanation:

<u>GIVEN :-</u>

  • A man is 5 times as old as his son. (In Present)
  • 4 years ago , the man was 13 times as old as his son

<u>TO FIND :-</u>

  • The present ages of the man & his son.

<u>SOLUTION :-</u>

Let the present age of son be 'x'.

⇒ Present age of man = 5x

4 years ago ,

Age of son = (Present age of son) - 4 = x - 4

Age of man = (Present age of man) - 4 = 5x - 4

The man was thirteen times as old as his son. So,

=> 5x - 4 = 13(x - 4)

Now , solve the equation.

  • Open the brackets in R.H.S.

=> 5x - 4 = 13x - 52

  • Take 5x to R.H.S. and -52 to L.H.S. Also , take care of their signs because they are getting displaced from L.H.S. to R.H.S. or vice-versa.

=> 13x - 5x = 52 - 4

=> 8x = 48

  • Divide both the sides by 8

=> \frac{8x}{8} = \frac{48}{8}

=> x = 6

<u>CONCLUSION :-</u>

Age of son = 6 years

Age of man = 5×6 = 30 years

8 0
3 years ago
A square has an area of 16x^2 square inches. If the sides of the square were to increase by 2 units, what is the new area of the
kykrilka [37]

Answer:

16x² + 64x + 64

Step-by-step explanation:

Given

A = 16x²

Increasing the sides by 2, substitute x = x + 2 into A

A = 16(x + 2)² ← expand factor using FOIL

   = 16(x² + 4x + 4 ) ← distribute

   = 16x² + 64x + 64

4 0
3 years ago
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