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Sonbull [250]
3 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]3 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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What operation should I use to solve -6x = -24. Addition, subtraction, multiplication,or division
olga_2 [115]
Always use PEMDAS as a key. Peretheses, Exponents, Multiplication, Division, Addition, and then Subtraction.
4 0
3 years ago
Write each number as a product of the GCF and another sum. Then use the Distributive Property to rewrite the sum. 45 + 30 = (15
Lorico [155]

Answer:

x=5/2

Step-by-step explanation:

Calculate, rewrite, remove the paretheses

Collect the like terms

Swap sides 75=30x swap to 30x=75

Then divide both sides

3 0
3 years ago
A small theater sold 72 tickets for a
Mariulka [41]

Answer:

Number of child tickets = 9

Number of adult tickets = 36

Number of senior tickets = 27

Step-by-step explanation:

Given:

The ratio of adult tickets to child tickets = 4:1

Ratio of adult  tickets to senior tickets = 4:3

Number of total tickets = 72

Find:

The number of each ticket.

Computation:

Ratio between Adult to senior to child = 4:3:1

So,

Number of child tickets = [1 / (4+3+1)]Total tickets

Number of child tickets = [1 / (8)]72

Number of child tickets = 9

Number of adult tickets = [4 / (4+3+1)]Total tickets

Number of adult tickets = 36

Number of senior tickets = [3 / (4+3+1)]Total tickets

Number of senior tickets = 27

4 0
3 years ago
The function h(x) is given below:
g100num [7]

Step-by-step explanation:

The domain and range of a function and its inverse are inverted i.e. The domain of the function will become range of its inverse and the range of the function will become the domain of its inverse.

When representing the function in ordered pairs, the first values in the pair represents the domain and second values represent the range of the function.

h(x) = {3,5),(5,-7)(6,-9)(10,-12)(12,16)}

Domain of h(x) is: {3, 5, 6, 10, 12}

Range of h(x) is: (5, -7, -9, -12, 16}

So,

Domain of h^{-1}(x) = Range of h(x) = (5, -7, -9, -12, 16}

Range of h^{-1}(x) = Domain of h(x) = {3, 5, 6, 10, 12}

Therefore, h^{-1}(x) will be represented as:

{(5,3), (-7,5), (-9, 6), (-12, 10), (16,12)}

It seems like you have made some error while writing the original function because of which we are not getting an exact match in the answer. However by looking at the answers, option B is the nearest most and seems the correct answer.

6 0
3 years ago
A triangle is formed with side lengths of 24 centimeters, 26 centimeters, and 10 centimeters. Is the triangle a right triangle?
storchak [24]

Answer:

A)

Step-by-step explanation:

676=676

8 0
3 years ago
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