A jewelry store chain with 5 stores in state \( \mathrm{A}, 12 \) stores in state B, and 10 in state C is planning to close 12 of these stores. Complete parts (A) and (B) below. (A) How many ways can this be done? Determine the appropriate expression to evaluate. Select the correct choice and fill in the answer boxes to complete your choice. B. 27 The 12 stores can be closed in \( 17,383,860 \) different ways. (Type a whole number.) (B) The company decides to close 4 stores in state A, 5 in state B, and 3 in state C. In how many ways can this be done? The 12 stores can be closed in \( \square \) different ways if 4 stores in state A, 5 in state B, and 3 in state C are closed. (Type a whole number.)

A soma de dois números é 17 e a diferença entre eles é 1. Qual das alternativas abaixo representa um sistema de equações compativel com as informaçöes dadas acima? Escolha 1 resposta: (A) \( \left\{\begin{array}{l}x+y=17 \\ x+y=1\end{array}\right. \) (B) \( \left\{\begin{array}{l}x+y=1 \\ x-y=17\end{array}\right. \) (C) \( \left\{\begin{array}{l}x+y=17 \\ x-y=1\end{array}\right. \) (D) \( \left\{\begin{array}{l}x+y=17 \\ 1-y=x\end{array}\right. \) (A)

Match each of the following expressions with an equivalent expression. (You can use each option once, more than once, or not at all.) \( \begin{array}{ll}-\checkmark \frac{\sin (\theta)}{\csc (\theta)} & \text { a. } \sin ^{2}(\theta) \\ -\vee \tan (\theta) \cdot \cot (\theta) & \text { c. } \cot (\theta) \\ -\checkmark \cos (\theta) \cdot \csc (\theta) & \text { d. } 1 \\ -\checkmark \sec (\theta) \cdot \cos (\theta) & \end{array} \)

1. Maria va al mercado y compra 3 cajas de clavos y 2 cajas de tornillos por 28 \( € \). Si hubiese comprado 2 cajas de clavos y 3 cajas de tornillos por \( 42 € \). ¿Cuál es el precio de cada una de las cajas de tornillos y clavos?

In un rettangolo ILMN I'altezza IN è uguale a \( \frac{2}{3} \) della base IL. Determina I'area del rettangolo, sapendo che il perimetro è 170 cm .

List the factors of 60 . Is this number prime or composite?