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Answer:

The required answer is .

Step-by-step explanation:

Consider the provided expression 4/5 (20x - 10)

The above expression can be written as:

Now, use the distributive property:

Distributive property: a(b+c)=ab+ac

Use the above property

Hence, the required answer is .

Answer:8 5/12 - 8 3/4

101/12- 35/4 LCM 12 &4 is 12

101- 35/12= 66/12

=5 6/12

=5 1/2 years

Step-by-step explanation:

Final answer:

The question is about the calculation of Amina's age. From the information provided, Amina's age is calculated to be 9 years 4 months. The calculation is done by first obtaining the total age before and after Amina joins then finding the difference.

Explanation:

Firstly, we know the mean age of five children, before Amina joins, is 8 years 4 months. To get the total age of these children, we multiply the mean by the number of children. So, 8 years 4 months x 5 gives 41 years 8 months in total.

Next, Amina joins, increasing the number of children to six and the mean age becomes 8 years 5 months. To get the new total age, we multiply the new mean by the total number of children, so, 8 years 5 months x 6 gives 51 years.

So, the age of Amina is found by subtracting the initial total age before she joined from the new total age after she joined, which is, 51 years - 41 years 8 months = 9 years 4 months.

Thus, Amina's age is 9 years 4 months.

Learn more about Mean Age Calculation here:

brainly.com/question/32227531

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The difference between the polynomials 5x² + 2x + 11 and  7 + 4x - 2x² is  7x² - 2x + 4 option (D)7x² - 2x + 4 is correct.

What is polynomial?

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

The complete question is:

FIND THE DIFFERENCE:

(5x² + 2x + 11) - (7 + 4x - 2x²)

• A. 9 - 2x - 2x²
• B. 3x² - 2x + 4
• C. 3x² + 6x + 4
• D.7x² - 2x + 4

We have two polynomials:

5x² + 2x + 11 and  7 + 4x - 2x²

We have subtract the polynomial 7 + 4x - 2x² from the polynomial 5x² + 2x + 11

= (5x² + 2x + 11) - (7 + 4x - 2x²)

Using distributive property:

= 5x² + 2x + 11 - 7 - 4x + 2x²

= 7x² - 2x + 4

The difference is 7x² - 2x + 4

Thus, the difference between the polynomials 5x² + 2x + 11 and  7 + 4x - 2x² is  7x² - 2x + 4 option (D)7x² - 2x + 4 is correct.

Learn more about Polynomial here:

brainly.com/question/17822016

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