Dasan bought two identical pairs of shoes for his twins. He noticed that shipping cost \( \$ 3.99 \) and the total cost was \( \$ 69.97 \). Using \( c \) to represent the cost of one pair of shoes, write an equation that represents this situation. Determine the prices of one pair of shoes. \( c=\$ \)

How should you write the proportion \( 9: 36=10: 40 \) using words? A) 9 is to 36 as 40 is to 10 B) 36 is to 9 as 10 is to 40 C) 9 is to 36 as 10 is to 40 D) 9 is to 10 as 36 is to 40

3. simplify \( \frac{x+7}{x-7}-\frac{5 x+35}{x^{2}-49} \)

How many yards are in 7 miles?

Soit la matrice \( A=\left(\begin{array}{lll}0 & 1 & 1 \\ 1 & 0 & 1 \\ 1 & 1 & 0\end{array}\right) \). 1. Vérifier que \( A^{2}=A+2 I \). En déduire que \( A \) est inversible et déterminer son inverse. 2. Montrer que pour tout \( n \in N \), il existe deux réls \( u_{n} \) et \( v_{n} \) tels que \( A^{n}=u_{n} A+v_{n} I \). On préciscra les relations de récurrence entre \( u_{n+1}, v_{n+1} \) et \( u_{n}, v_{n} \). 3. On pose \( \alpha_{n}=2 u_{n}+v_{n} \) et \( \beta_{n}=u_{n}-v_{n} \). Reconnaitre les suites \( \alpha \) et \( \beta \) En déduire, pour tout \( n \in N, u_{n} \) et \( v_{n} \), puis \( A^{n} \) en fonction de \( n \).

B) \( \frac{2}{3}+\frac{1}{3}= \)