Katie is buying souvenir gifts for her big family back home. she wants to buy everyone either a key chain or a magnet. the magnets are on sale for 50 cents each and the key chains cost $1 each. she must purchase at least 24 gifts but has to spend less than $20. let x represent the number of magnets and y represent the number of key chains.

a. model the scenario with a system of inequalities.
b. graph the system of inequalities and choose an appropriate solution for the scenario. use complete sentences to prove why the solution is appropriate. it is optional to include your graph as part of your final answer.

Someone answer this asap rn for ! a discount store’s prices are 25% lower than department store prices. the function c(x) = 0.75x can be used to determine the cost c, in dollars, of an item, where x is the department store price, in dollars. if the item has not sold in one month, the discount store takes an additional 20% off the discounted price and an additional $5 off the total purchase. the function d(y) = 0.80y - 5 can be used to find d, the cost, in dollars, of an item that has not been sold for a month, where y is the discount store price, in dollars. create a function d(c(x)) that represents the final price of an item when a costumer buys an item that has been in the discount store for a month. d(c(x)) =

The ratios 3: 9, 4: 12, 5: 15, and 6: 18 are a pattern of equivalent ratios in the ratio table. which is another ratio in this pattern?

Find the center and the radius of the circle with the equation: x^2-2x+y^2+4y+1=0?