Afoundry has been commissioned to make souvenir coins. the coins are to be made from an alloy that is 40% silver. the foundry has on hand two alloys, one with 50% silver content and one with a 25% silver content. how many kilograms of each alloy should be used to make 10 kilograms of the 40% silver alloy? 50% alloy = ? kg 25% alloy = ? kg

6 kilograms of 50% silver alloy and 4 kilograms of 25% silver alloy should be used.

Explanation

Suppose, the weight of the alloy with 50% silver content is kilograms.

As, the weight of the mixed alloy should be 10 kilograms, so the weight of the alloy with 25% silver content will be: kilograms

The percentage of silver content in the mixed alloy is 40%. So the equation will be .......

So, the amount of 50% silver alloy is 6 kilograms and the amount of 25% silver alloy is (10-6)= 4 kilograms.

step-by-step explanation:

b and c

b) k’(6, 4); l’(3, 3)

step-by-step explanation:

a 270° clockwise rotation maps every point (x, y) to (y, -x). (it negates the x-coordinate and then switches it and the y-coordinate.)

this means the endpoints of the side congruent to kl, k' and l', would be mapped as:

k'(-4, 6)→(6, 4)

l'(-3, 3)→(3, 3)