Tutor profile: Izzi G.

Sarah has a lemonade stand where she sells regular lemonade and pink lemonade. She sells regular lemonade for $1.00 per cup and pink lemonade for $1.50 per cup. If she sells lemonade to 15 customers and 1/3 of her customers buy pink lemonade, how much money does she make?

$17.50. First, calculate the number of customers that purchased each type of lemonade. (15 customers)(1/3)= 5 customers bought pink lemonade. 15-5= 10 customers bought regular lemonade. From the pink lemonade customers, Sarah makes (5 customers)($1.50/ customer)= $7.50. From the regular lemonade customers, Sarah makes (10 customers)($1.00/customer)= $10.00. Thus Sarah makes $10.00 + $7.50= $17.50 total.

Consider the following reaction: $N_2$ + $3H_2$ --> $2NH_3$ If you begin with 3.0 L of $N_2$ at 1.5 atm and 310K and an excess of $H_2$, how many moles of $NH_3$ can you produce?

0.36 mol $NH_3$ First, the initial number of moles of $N_2$ must be calculated using the Ideal Gas Law (PV=nRT). This can be rearranged to get: n=PV/RT, where P= 1.5 atm, V= 3.0: L, R= 0.082057 L*atm/(mol*K), and T=310K. As a result, n= 0.18 moles. Next, the number of moles can be calculated by using the stoichiometry of the given reaction. Since 2 moles of $NH_3$ are produced for every mole of $N_2$, moles $NH_2$= 2*0.18 moles $N_2$= 0.36 moles.

Write the complementary DNA strand below the strand: 5'- AGCTTCACCGTTACTGTAC-3'

3'- TCGAAGTGGCAATGACATG-5' The complementary base pairing rules state that A and T pair and C and G pair. Thus, for each A on the original strand, there appears a T in the corresponding location on the complementary strand, for each T on the original strand, there appears an A in the corresponding location on the complementary strand, for each C on the original strand, there appears a G in the corresponding location on the complementary strand, and for each G on the original strand, there appears a C in the corresponding location on the complementary strand.