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Sonbull [250]
2 years ago
10

Natalia solved the problem 74.4/12=6.2. complete the model with partial products check Natalia's work using multiplication

Mathematics
1 answer:
tia_tia [17]2 years ago
5 0

Answer:

Natalia's work is wrong.

Step-by-step explanation:

Natalia divided a decimal number by an entire number. Since division is a operation derived from multiplication, the best approach to check if work was good is multiplying the given result by denomination, that is:

1) x = 6.2\times 12 Given.

2) x = \left(6+0.2\right)\times 12 Definition of addition.

3) x = 6\times 12 + 0.2\times 12 Distributive property.

4) x = 72 + \frac{2}{10}\times 12 Definitions of multiplication and decimal number.

5) x = 72 +[2\cdot (10)^{-1}]\cdot 12 Definition of division/Associative property.

6) x = 72 + [2\cdot 12]\cdot (10)^{-1} Associative property.

7) x = 72 + 24\cdot 10^{-1} Definition of multiplication.

8) x = 72 + \frac{24}{10} Definition of divsion.

9) x = 72 + 2.4 Defintion of decimal number.

10) x = 74.4 Definition of addition/Result

Natalia's work is wrong.

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Plot the vertices (-2, -8), (-2, 2), and (8, 2).
charle [14.2K]

Answer:

  • (8, -8)
  • 100 square units

Step-by-step explanation:

The diagonals of a rectangle have the same midpoint, so for points A, B, C, D, we must have ...

  (A+C)/2 = (B+D)/2

  D = A + C - B

  D = (-2, -8) +(8, 2) -(-2, 2) = (-2+8+2, -8+2-2)

  D = (8, -8)

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The side lengths are 2-(-8) = 10, and 8-(-2) = 10. The area is the product of the side lengths, so is 10×10 = 100 square units.

_____

<em>Comment on side lengths</em>

When the end points of one side are on the same vertical line, the length of that side is the difference of y-coordinates. When the points lie on the same horizontal line, the side length is the difference of x-coordinates.

5 0
3 years ago
Read 2 more answers
Sasha buys two ribbons of equal length. She cuts 9 pieces of the same length, L, from the first ribbon and finds that 5 inches a
nikitadnepr [17]

Answer:

50 inches.

Step-by-step explanation:

Let the length of the each ribbon was x.

Now, she cuts 9 pieces of same length L which means total length is 9L.

Now, doing the same she was left with 5 inches of ribbon. Hence, we have

[tex[9L+5=x.....(1)[/tex]

Similarly, we can write a equation for the second situation.

2L+40=x......(2)

From equation 1 and 2,

9L+5=2L+40\\\\7L=35\\\\L=5

Plugging this value in equation 1,

9(5)+5=x\\\\x=45+5\\x=50

Therefore, the length of each ribbon when she bought them was 50 inches.

3 0
3 years ago
PLEASE HELP!! WILL REQARD A LOT
Soloha48 [4]

9514 1404 393

Answer:

  17,500

Step-by-step explanation:

The problem can be written as a proportion:

  hits/revenue = 1000/(£2) = x/(£35)

Multiplying by £35 gives ...

  x = 1000(35/2) = 35000/2 = 17,500

17500 hits are required for revenue of £35.

3 0
2 years ago
Read 2 more answers
7x + 2y=24<br> 8x + 2y=30
Bumek [7]

Answer:

x=6 y=-9

Step-by-step explanation:

  • Layer the equations on each other as you would in a subtraction problem:

               8x + 2y=30

               7x + 2y=24  

  • Subtract the equation just like you would normally. This should leave 1x=6 or x=6.
  • Now that you have your x value, plug it in as x for one of the equations. For the 2nd equation, this leaves:

               42+2y=24 then

               2y=-18 then

               y=-9

  • Double check your y value by plugging x=6 into the first equation. This should also leave y=-9.

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3 years ago
In March, Delphine's house had 40% more snowfall than in February. Delphine's house had f centimeters of snowfall in February.
slamgirl [31]

Answer: Options 'C' and 'E' are correct.

Step-by-step explanation:

Since we have given that

Quantity of snowfall in February at Delphine's house be f centimeters

Quantity of snowfall in March at Delphine's house be 40% more than in February.

According to question,

40\%\ of\ f=0.4f\\\\Therefore,\\\\f+0.4f=1.4f

So, Options 'C' and 'E' are correct.

i.e. C) 1.4f

E) \frac{4}{10}f+f

4 0
3 years ago
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