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it is my brother and i am doing it because people on here r his friends

Un numero mas el siguiente es igual a 355 ¿cual es el numero? Puede haber diferentes maneras, como 1 veces 355 es igual a 355

5 veces 71 es igual a 355

71 veces 5 iguales a 355

355 veces 1 es 355

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300 miles per hour

A trapezoid has an area of 341 square miles.

One base is 8 miles long.

The height measures 22 miles.

What is the length of the other base ?

\(\begin{array}{|rcll|} \hline A &=& \left(\frac{x+8}{2} \right) \cdot 22 \\ 341 &=& \left(\frac{x+8}{2} \right) \cdot 22 \\ 341 &=& (x+8) \cdot 11 \quad &| \quad : 11 \\ 31 &=& x+8 \quad &| \quad - 8 \\ 31-8 &=& x \\ 23 &=& x \\ \hline \end{array} \)

The other base is 23 miles long.

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Awe! I'm gonna miss him

Find the remainder when 100^100 is divided by 7

\(\begin{array}{|rcll|} \hline && 100^{100} \pmod{7} \quad & |\quad \boxed{ 100 \equiv 2 \pmod {7} } \\ &\equiv & 2^{100} \pmod{7} \quad & |\quad \text{because } gcd(2,7) = 1\ : \\ && & |\quad 2^{\phi(7)} \equiv 1 \pmod {7} \quad \phi(7) = 6 \quad \phi() \text{ is the Euler's totient function}\\ && & |\quad \boxed{2^{6} \equiv 1 \pmod {7}} \\ &\equiv &2^{100} \pmod{7} \quad & | \quad 100 = 6\cdot 16 +4 \\ &\equiv &2^{6\cdot 16 +4} \pmod{7} \\ &\equiv & (2^{6} )^{16}\cdot 2^4 \pmod{7} \\ &\equiv & 1^{16}\cdot 2^4 \pmod{7} \\ &\equiv & 2^4 \pmod{7} \\ &\equiv & 16 \pmod{7} \\ &\equiv & 2 \pmod{7} \\ \hline \end{array}\)

ya it is sad he wont be on till about Monday