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NISA [10]
3 years ago
12

Can someone guide me through this progress?

Mathematics
1 answer:
IgorC [24]3 years ago
7 0
To find the mean you add all the numbers and divide by how many numbers there are so in this case 2+3+4+4+6= 19, there are 5 numbers so divide 19/5
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Natalia solved the problem 74.4/12=6.2. complete the model with partial products check Natalia's work using multiplication
tia_tia [17]

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.

5 0
3 years ago
A rectangle is 9ft long and 40 in wide what is its area in square feet?
Irina-Kira [14]
The answer is 360 sqft

6 0
3 years ago
Which equation does the graph of the systems of equations solve?
Viktor [21]

Answer:

We conclude that option 'C' i.e. 1/3x+1=2x-4 is the correct option.

Step-by-step explanation:

From the given graph, it is clear that the two lines meet at the point (3, 2).

In other words,

  • at x =3, y = 2

Thus,

The point of intersection between two lines is:

(x, y) = (3, 2)

Here:

x = 3 is the value of the x-coordinate

y = 2 is the value of the y-coordinate

Now, checking the equation i.e. 1/3x+1=2x-4 to determine whether the equation contains the correct value of x-coordinate or not.

\frac{1}{3}x+1=2x-4

Subtract 1 from both sides

\frac{1}{3}x+1-1=2x-4-1

Simplify

\frac{1}{3}x=2x-5

subtract 2x from both sides

\frac{1}{3}x-2x=2x-5-2x

Simplify

-\frac{5}{3}x=-5

Multiply both sides by 5

3\left(-\frac{5}{3}x\right)=3\left(-5\right)

Simplify

-5x=-15

Divide both sides by -5

\frac{-5x}{-5}=\frac{-15}{-5}

Simplify

x=3

Therefore, the value of x = 3

Conclusion:

We conclude that option 'C' i.e. 1/3x+1=2x-4 is the correct option.

4 0
3 years ago
What's the solution for y+1/2=3/4
creativ13 [48]
\frac{y+1}{2} = \frac{3}{4}

2(y+1) = 3        LCD is 4

2*y + 2*1 = 3

2y + 2 = 3

2y = 3 - 2

2y = 1

y = 1 / 2


6 0
3 years ago
An object placed between two plane mirrors arranged at right angles to each other at a distance d1 from the surface of one mirro
xz_007 [3.2K]

Answer:

3

..................

5 0
3 years ago
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