Let p and q be the propositions "The election is decided" and "The
votes have been counted," respectively. Express each of these compound
propositions as English sentences.
a) ¬ p : The election is not (yet) decided.
b) p ∨ q : The election is decided or the votes have been counted.
c) ¬ p∧q : The votes have been counted but the election is not (yet)
decided.
d) q → p : If the votes are counted then the election is decided.
e) ¬ q → ¬ p : The election is not decided unless the votes have
been counted.
f) ¬ p → ¬ q : The votes have not been counted unless the election
has been decided. This is equivalent to proposition d).
g) p ↔ q : The election is decided if and only if the votes have been
counted.
h) ¬ q ∨ (¬ p ∧ q) : The votes have not been counted, or they have
been counted but the election is not (yet) decided

Asystem of equation is shown below 6x - 2y equals 3 . and 5x + 3y equals 4. would you solve by substitution or elimination? and why

Yoku is putting on sunscreen. he uses 2\text{ ml}2 ml to cover 50\text{ cm}^250 cm 2 of his skin. he wants to know how many milliliters of sunscreen (c)(c) he needs to cover 325\text{ cm}^2325 cm 2 of his skin. how many milliliters of sunscreen does yoku need to cover 325 \text{ cm}^2325 cm 2 of his skin?

You and three friends will be going out to eat at your favorite restaurant! each of you will order three items of your choice. you will also need to leave a tip. if you split the bill evenly among all four of you, how much will each person need to contribute? locate a menu for your favorite restaurant and pick three items for yourself and each friend. list the restaurant name, items, and prices in a table like the one below. in the column labeled subtotal, determine the cost of each person’s order. the customary tip is 20% of the total bill. in the column labeled tip, calculate the amount of tip each person should leave. in the column labeled total bill, determine the total of each person’s order, including the tip. restaurant name: names item 1 price item 2 price item 3 price subtotal tip total bill your name friend #1 friend #2 friend #3 part 2: questions answer the following questions, showing all work: what is the total cost of the entire bill (all four meals), including tip? write an expression using fractions to show how to determine the amount that each person will pay. then calculate each person's contributions showing all steps in long division. if each person paid an equal amount, who would save the most money? explain your reasoning using at least two complete sentences.