USING EQUATIONS to solve WORD PROBLEMS Directions: Set up and solve an equation for each problem below. 8. Kelly, Laura, and Tia sold boxes of cookies fol fundraiser. Kelly sold 15 boxes less than Laura Tia sold twice as many boxes as Kelly. If they sold 83 boxes of cookies in total, how many boxes did each girl sell?

If \( p=\{2,3,5,7,11\} \) and \( Q=\{1,3,5,11\} \) Rationalise the denominator of \( \frac{5+\sqrt{3}}{5-\sqrt{3}} \)

उम्मीदवारों के बीच लड़े गए चुनाव में, कुल मतदाताओं में \( 5 \% \) ने मत नहीं डाला और 100 मत अयोग्य हो गए। चुना तनने वाले उम्मीदवार ने कुल मतों का \( 45 \% \) प्राप्त करके औ 00 मतों के अंतर से जीता। मतदाताओं की कुल संख्या ज्ञा जिए।

4. A. B. C ve D sayılarının yerine \( 2,3,4,6 \) ve 8 sayılarından dört tanesi birer kez kullanıldığında aşağıdaki eşitlik sağlanmaktadır A、 \( \bar{B}= \) C、 \( \bar{D} \) Buna göre, bu beş sayıdan hangisi verilen eşitlikte yer almaz? \( \begin{array}{llll}\text { A) } 2 & \text { B) } 3 & \text { C) } 4 & \text { D) } 6\end{array} \) E) 8

d) \( \begin{aligned} & f(x)=\left\{\begin{array}{c}3 x+4,-1 \leq x<2 \\ 1+x, 2 \leq x \leq 5\end{array}\right. \\ & \operatorname{Dom}(f)=\{x:-1 \leq x<5\}=[-1,5)\end{aligned} \)

Prove, by factoring, that \( A(x)=(x-2)(-x+1) \) Let \( F(x)=\frac{A(x)}{2} \)