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3 years ago

Apply the distributive property to create an equivalent expression 7(4p + 2q +3r) =

Mathematics

1 answer:

lubasha [3.4K]3 years ago

5 0

28p+ 14q + 21r
hope this helps !
you just multiply the parentheses by 7

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15. (NO CALCULATOR) A restaurant took 1/3 of an hour to use 1/5 of a

kotykmax [81]

Answer:

It would take 5/3 or 1 2/3 hours to use a package of napkins.

Step-by-step explanation:

1/3=1/5

2/3=2/5

3/3=3/5

4/3=4/5

5/3=5/5

5/3= 1 2/3

8 0

3 years ago

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

Please Help! I need an explanation for how to do this... Step-by-step directions would be great!

spin [16.1K]

$\dfrac{8x^2y^2-4xy^2}{4xy}=\\
\dfrac{8x^2y^2}{4xy}-\dfrac{4xy^2}{4xy}=\\
2xy-y
$

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3 years ago

What's -20 times -10 times -1 times 0

neonofarm [45]

Zero.
Anything times zero is zero.
-20 * -10 = 200
200 * -1 = -200
-200 * 0 = 0

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3 years ago

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