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Algebra Questions & Answers

Q:
\( \left(2 a^{2}\right)^{2}+\left[a^{4 n}\left(a^{n-2}\right)^{n-2}\right]:\left(a^{n}\right)^{n} \), con \( n \geq 2 \)
Q:
After Batman brought the Joker to justice, the crime rate in Arkham City decreased by \( 12 \% \). Previously, the crime rate was \( c \) incidents per 1000 people. Which of the following expressions could represent the crime rate in Arkham City after Batman brought the Joker to justice? Choose 2 answers: A \( 0.88 c \) B \( 0.12 c \) C \( c-0.12 \)
Q:
tastic consisten... Crispy Clover, a popular vegetarian restaurant, introduced a new menu that has \( 20 \% \) more dishes than the previous menu. The previous menu had \( D \) dishes. Which of the following expressions could represent how many dishes Crispy Clover's new menu has? Choose 2 answers: A. \( D+\frac{1}{5} D \) B \( D+20 D \) (C) \( 1.2 D \)
Q:
Camacho is buying a monster truck. The price of the truck is \( x \) dollars, and he also has to pay a \( 13 \% \) monster truck tax. Which of the following expressions could represent how much Camacho pays in total for the truck? Choose 2 answers: A \( (1+0.13) x \) B \( \frac{13}{100} x \) C \( 13 x \)
Q:
14. Jumlah tiga bilangan adalah 75. Bilangan pertama lima lebihnya dari jumlah dua bilangan yang lain. Bilangan kedua sama dengan \( \frac{1}{4} \) dari jumlah dua bilangan yang lain. Carilah bilangan-bilangantersebut! Jawab:
Q:
Eiko is wearing a magic ring that increases the power of her healing spell by \( 30 \% \). Without the ring, her healing spell restores \( H \) health points. Which of the following expressions could represent how many health points the spell restores when Eiko is wearing the magic ring? Choose 2 answers: A \( 0.7 H \) ( \( \frac{130}{100} H \) ( \( \left.\frac{3}{10}+1\right) H \)
Q:
El sistema de ecuaciones es: \( \left\{\begin{array}{c}h+m+k=20 \\ h+m=3 k \\ m+1=h\end{array}\right. \)
Q:
3. \( V \) is inversely proportional to the cube of \( r \). When \( r=2, V=6 \). Find the value of \( r \) when \( V=0.75 \).
Q:
\( a < b < 0 \Rightarrow \left\{ \begin{array} { l } { | a + b | = } \\ { | a - b | = } \\ { | b - a | = } \end{array} \right. \)
Q:
Solve for \( x \) if \( 2 x-6=8 \)

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