Prove that each argument is valid by replacing each proposition with a variable to obtain the form of the argument. then use the rules of inference to prove that the form is valid. (a) if i drive on the freeway, i will see the fire. i will drive on the freeway or take surface streets (or both). i am not going to take surface streets. : i will see the fire. (b) if i work out hard, then i am sore. if i am sore, i take an aspirin. i did not take an aspirin. : : i did not work out hard.

the ratio of grapes to blueberries she should use is 12: 3

step-by-step explanation:

if mandie is making 15 cups of fruit salad, the ratio of grapes to blueberries she should use is 12: 3.

answer: (yeees, you need a poet.)

//blooming serenity//

beautiful in the morning

mysterious at night

wonderous nature souring

with all it's mystical might

the flower that blooms

to the fox that looms

nocturnal creatures

with various features

a blooming flower soon in sight

as a new little hatchling fears to take flight  

afraid to leave it's calming nest,

but dear little bird, mother knows best

as sure as there are stars in the sky,

life is not about who, where what, when or why-

it's the journey that follows

adventures we swallow

of   nature's deep wonders,

natural disasters and storm's thunders.

blooming serenity

life and nature, truly is heavenly.

-kerstien lehman

step-by-step explanation: