Alex and lara have $21.00 each to spend at a book fair, where all students receive a 35% discount. they both want to purchase a copy of the same book, which normally sells for $28.50 plus 10% sales tax. to check if he has enough to purchase the book, alex takes 35% of $28.50 and subtracts that amount from the normal price. he takes 10% of the discounted selling price and adds it back to find the purchase amount. lara takes 65% of the normal purchase price and then computes 110% of the reduced price. is alex correct? is lara correct? do they have enough money to purchase the book? explain your answer using complete sentences, and show your work.

Step-by-step explanation:

We know that:

Student discount: 35%

Sales tax: 10%

Normal price: $28.50.

Basically, we have to subtract the 35% of the normal price, but add a 10% of the discounted price, then we have the final price.

First, the discounted selling price is: . Then, he takes 10% of the discounted selling price:

First, she takes 65% of the normal price: . And then computes 110%:

By doing each operation version, we conclude that they both are right, they just found two ways to have the same result. In addition, they actually have enough money to effort the book, because they have $21.00.

i found two solutions,   n = 2 • ± √3 = ± 3.4641

step-by-step explanation:

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)