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3 years ago

Which number completes the table...? 24 54 84 114 14 19

Mathematics

1 answer:

sweet [91]3 years ago

7 0

n 24 54 84 114

n ÷6 4 8 14 19

Answer : 8

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How do you simplify this? x²y+xy² / y²+2/5 × xy

polet [3.4K]

$\huge \boxed{\mathbb{QUESTION} \downarrow}$

How do you simplify this?
x²y+xy² / y²+2/5 × xy

$\large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}$

$\sf\frac{ { x }^{ 2 } y+x { y }^{ 2 } }{ { y }^{ 2 } + \frac{ 2 }{ 5 } \times xy } \\$

Factor the expressions that are not already factored.

_____

How to factorise :-

NUMERATOR $\downarrow$

$\sf \: x ^ { 2 } y + x y ^ { 2 }$

Factor out xy.

$\sf \: xy\left(x+y\right)$

DENOMINATOR $\downarrow$

$\sf{ y }^{ 2 } + \frac{ 2 }{ 5 } \times xy \\$

Factor out 1/5.

$\sf \: {\frac{1}{5}y\left(2x+5y\right)} \\$

_____

Continuing...

$\sf\frac{xy\left(x+y\right)}{\frac{1}{5}y\left(2x+5y\right)} \\$

Cancel out y in both the numerator and denominator.

$\sf\frac{x\left(x+y\right)}{\frac{1}{5}\left(2x+5y\right)} \\$

Expand the expression.

$\sf\frac{x^{2}+xy}{\frac{2}{5}x+y} \\$

This can further simplified to as $\downarrow$

$= \boxed{\boxed{\bf\frac{5x\left(x +y\right)}{2x+5y}}}$

3 0

3 years ago

A rectangular solid has sides of 7 cm + 9 cm + 11 cm what is its surface area

alina1380 [7]

Your answer would be: 693.

Explanation:

When finding the area in a problem use L×W×H.

That being said, you now have to multiply the L×W×H (7x9x11)

7 × 9 × 11 = 693

So the answer would be 693 because, if you are finding an area you use L×W×H to find your area.

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3 years ago

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Can Someone please help me out with this problem

ikadub [295]

Step-by-step explanation:

find the area as if it was a rectangle so do 14x12 then subtract the area of half a circle with a diamater of 12

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3 years ago

I’ll give you a lot of points for this

ivann1987 [24]

Answer:

2. (3,4)

Step-by-step explanation:

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2 years ago

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How do i rename 2/7 and 10/21 and whats the most common denominator for them

emmainna [20.7K]

Answer:

just multiply 7 by 21 and 21 by 7

2*21/7*21. + 10*7/21*7

41/147+ 70/147

111/147. Ans

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3 years ago

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