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.

3.how is solving radical equations different than solving linear equations?

step-by-step explanation:

3. (5x + 1) - (-10x + 6)

simplify the answer choice. combine like terms. remember to distribute the negative to the terms inside the second parenthesis. also remember that two negatives = one positive, and one of each sign = negative.

- (-10x + 6) = + 10x - 6

simplify. combine like terms:

5x + 1 + 10x - 6

5x + 10x + 1 - 6

15x - 5

∴ it is your answer

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-9

step-by-step explanation:

a) at most means it can cost $12 or less

so the inequality sign would be ≤

you would then need to multiply the number of toppings by the 0.35 for each one and add it to the cost of the cheese pizza.

the equation would be 9.99 + 0.35x ≤ 12

b) using the above equation:

9.99 + 0.35x ≤ 12

subtract 9.99 from each side:

0.35x ≤2.01

divide both sides by 0.35:

x ≤ 2.01 / 0.35

x ≤5.74

at most you could have 5 toppings.

the 5 topping pizza would cost: 0.35 x 5 = 1.75 + 9.99 = $11.74