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3 years ago

Help me with this!! (12 points)

Mathematics

1 answer:

nydimaria [60]3 years ago

8 0

It’s D! Because if 2350/2900 is 47/58 or 0.810345

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(<img src="https://tex.z-dn.net/?f=%20%28%5Cfrac%7B2%7D%7B3%7D%20x%5E%7B-3%7D%20y%5E%7B4%7D%20z%5E%7B2%7D%29%5E%7B3%7D%20%20%20"

kobusy [5.1K]

$\bf ~~~~~~~~~~~~\textit{negative exponents}
\\\\
a^{-n} \implies \cfrac{1}{a^n}
\qquad \qquad
\cfrac{1}{a^n}\implies a^{-n}
\qquad \qquad 
a^n\implies \cfrac{1}{a^{-n}}
\\\\
-------------------------------$

$\bf \left(\cfrac{2}{3}x^{-3}y^4z^2 \right)^3\implies \stackrel{\textit{distributing the exponent}}{\left[\left( \cfrac{2}{3} \right)^3x^{^{-3\cdot 3}}y^{4\cdot 3}z^{2\cdot 3} \right]}\implies \cfrac{2^3}{3^3}x^{-9}y^{12}z^6
\\\\\\
\cfrac{8}{27}\cdot \cfrac{1}{x^9}y^{12}z^6\implies \cfrac{8y^{12}z^6}{27x^9}$

7 0

4 years ago

William is 3 years older than Charmaine. The sum of 3 times Charmaine's age and 2 times William's age is 76. How old are William

Aleksandr [31]

w is william, c is charmaine

w = c + 3

3c + 2w = 76

substitute c + 3 for w

3c +2(c + 3) =76

3c + 2c + 6 = 76, combine the c's and subtract 6 from both sides

5c = 70

c = 14

w = c + 3

so w = 14 + 3

w = 17

8 0

3 years ago

The perimeter of a square P depends on the length of its sides S this can be written in function notation as P( s) what is the b

IrinaK [193]

Answer:

sorry I don't know

sorry

5 0

2 years ago

15.12 is what percent of 12?

Llana [10]

Answer:

Step-by-step explanation:

$\bold{METHOD\ 1}\\\\\begin{array}{ccc}15.12&-&p\%\\\\12&-&100\%\end{array}\qquad\text{cross multiply}\\\\\\12p=(15.12)(100)\\12p=1512\qquad\text{divide both sides by 12}\\p=126$

$\bold{METHOD\ 2}\\\\p\%=\dfrac{p}{100}\\\\p\%\ of\ 12\ is\ equal\ to\ 15.12:\\\\\dfrac{p}{100}\cdot12=15.12\\\\\dfrac{12p}{100}=15.12\qquad\text{multiply both sides by 100}\\\\12p=1512\qquad\text{divide both sides by 12}\\\\p=126$

6 0

4 years ago

In 2010, the population of a city was 241,000. From 2010 to 2015, the population grew by 5%. From 2015 to 2020, it fell by 4%. T

lawyer [7]

Answer:

242, 900 people

Step-by-step explanation:

To begin, it says that the population grew by 5%.

(241000)(1.00 + 0.05) = <em>population of the city in 2015</em>

(241000)(1.05) = 253050

253050 is the population of the city in 2015. From 2015 to 2020 it fell four percent.

(253050)(1.00 - 0.04) = <em>population of the city in 2020</em>

(253050)(0.96) = 242928

242928 is the exact population of the city. However, it says to round to the nearest hundred. Since 28 is less than 50, then it would round down to 900.

Therefore, the answer would be 242, 900 people.

4 0

3 years ago