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4 years ago

Can anyone Explain in words why these are equivalent expressions.

Mathematics

2 answers:

Ahat [919]4 years ago

8 0

Answer:

They are equivalent expressions because if you use distributive property and multiply 10*b, then multiply 10*4c, you get 10b+40c

Step-by-step explanation:

N76 [4]4 years ago

4 0

Answer:

The distributive property says that when there is a number outside of parenthesis, this means it should be distributed (or multiplied) to the values inside the parenthesis.

So in this situation, 10 x b = 10b

and 10 x 4c = 40 c

so 10(b + 4c) becomes 10b + 40c once the 10 is distributed within the parenthesis.

I hope this helps!

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Round to the nearest tenth. 8.54

Katarina [22]

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3 years ago

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Virty [35]

Answer:

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Step-by-step explanation:

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3 years ago

Hello can someone help me simplify 4) and 5)? Thank you and please include steps :)

Leni [432]

Alrighty

remember some rules
$(ab)^c=(a^c)(b^c)$
and
$x^{-m}=\frac{1}{x^m}$
and
$x^0=1$ for all real values of x
and
$(a^b)^c=a^{bc}$
and
$(\frac{a}{b})^c=\frac{a^c}{b^c}$
and
(a/b)/(c/d)=(ad)/(bc)
and
$(a^b)(a^c)=a^{b+c}$
and
$\frac{a^m}{a^n}=a^{m-n}$
and don't forget pemdas
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so

4.
$(\frac{c^{-2}}{2})^{-2}=$

$\frac{(c^{-2})^{-2}}{2^{-2}}=$

$\frac{c^4}{\frac{1}{2^2}}=$

$\frac{c^4}{\frac{1}{4}}=$

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5.

$\frac{(-a)^4bc^5}{-a^2b^{-3}c^0}=$

$\frac{(-1)^4(a)^4bc^5}{-1(a^2)(\frac{1}{b^3}(1)}=$

$\frac{(1)a^4bc^5}{\frac{(-1)(a^2)}{b^3}}=$

$\frac{(a^4bc^5)b^3}{(-1)(a^2)}=$

$\frac{-a^4b^4c^5}{a^2}=$

$-a^2b^4c^5$

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3 years ago

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Serjik [45]

Answer:

The bags would weigh 27lbs. multiply 4 1/2 and6 and you get 27lbs.

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4 years ago

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Calculate the average (arithmetic mean) of the list of numbers shown in the table. (rounded to the nearest tenth A) 10.1 B) 11.0

Rufina [12.5K]

Answer:

Step-by-step explanation:

When we add up all the numbers we get 111 then we divide it by 10 which gives us 11.1. since we have no value to round to the tenths place, the answer stays the same.

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2 years ago