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Tamiku [17]
2 years ago
11

Multiply:

rac{8n^{2} }{m^{2}-16 }" alt="\frac{8n^{2} }{m^{2}-16 }" align="absmiddle" class="latex-formula">×\frac{m^{2}-4m }{6n}
Mathematics
1 answer:
Mkey [24]2 years ago
3 0

9514 1404 393

Answer:

  4mn/(3m+12)

Step-by-step explanation:

It is often helpful to factor expressions so that common factors can cancel.

  \dfrac{8n^2}{m^2-16}\times\dfrac{m^2-4m}{6n}=\dfrac{8mn^2(m-4)}{6n(m-4)(m+4)}=\dfrac{4mn}{3(m+4)}\\\\=\boxed{\dfrac{4mn}{3m+12}}

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A square has a side length equal to 5x-3y inches. What is the area of this square
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Answer:

D.

Step-by-step explanation:

The area is the product of 2 adjacent sides:

Area = (5x - 3y)(5x - 3y)     as the sides of a square are all equal.

= 5x(5x - 3y) - 3y(5x - 3y)

= 25x^2  - 15xy - 15xy + 9y^2

= 25x^2 - 30xy + 9y^2.

5 0
3 years ago
A number that is even and not a multiple of 4 or 6
Anestetic [448]
10 would be the answer I believe.
4 0
3 years ago
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a company has determined that its maximum profit occurs when it sells 10,000 units per month. for every 1,000 units more or less
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8 0
3 years ago
Stephen uses \dfrac{2}{25}
zepelin [54]

Answer:

13\dfrac{3}{4}$ servings

Step-by-step explanation:

Stephen uses \dfrac{2}{25} kilograms of tofu in each serving of his dish.

He has 1\dfrac{1}{10} kilograms of tofu.

We want to determine how many servings Stephen can make.

To do this, we divide the total weight of tofu by the weight per serving.

\dfrac{\text{Total Weight(in kg)}}{\text{Weight(kg) per serving}} =\dfrac{1\dfrac{1}{10}}{ \dfrac{2}{25}}\\ = \dfrac{11}{10}\div  \dfrac{2}{25}\\\\= \dfrac{11}{10}X  \dfrac{25}{2}\\\\= \dfrac{11X25}{10X2}\\\\= \dfrac{275}{20}\\\\=13\dfrac{3}{4}$ servings

Stephen can make 13\dfrac{3}{4}$ servings .

6 0
3 years ago
If the perimeter of this triangle is to be no more than 77 feet, write an inequality and
Sergio039 [100]

Given:

Consider the sides of the triangle are 4x+10, 2x-5 and 18 (in feet).

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To find:

The inequality and solution of the inequality.

Solution:

Perimeter of a triangle is the sum of all side.

Perimeter of given triangle =(4x+10)+(2x-5)+18

Perimeter of this triangle is to be no more than 77 feet. It means perimeter must be less than or equal to 77.

(4x+10)+(2x-5)+18\leq 77

(4x+2x)+(10-5+18)\leq 77

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6x\leq 77-23

6x\leq 54

Divide both sides by 6.

x\leq \dfrac{54}{6}

x\leq 9

Therefore, the required inequality is (4x+10)+(2x-5)+18\leq 77 and the solution is x\leq 9.

8 0
3 years ago
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