At a bargain store, tanya bought 4 items that each cost the same amount. tony bought 5 items that each cost the same amount, but each was $1.25 less than the items that tanya bought. both tanya and tony paid the same amount of money. what was the individual cost of each person's items? (a) write an equation. let x represent the cost of one of tanya's items. (b) solve the equation. show your work. (c) check your solution. show your work. (d) state the solution in complete sentences.

If x is the amount that Tanya paid for each item, then Tony's items would be x-2.25. So:

3x=4(x-2.25)

3x=4x-9

x=9

x-2.25=6.75

Tanya spent $9 on each item; Tony spent $6.75 on each of his items. ☺☺☺☺

step-by-step explanation:

from the graph attached below:

domain of graph is the value of x for which the given function profit function p(x) is defined.

(a) the domain represents the number of years for which the outlet will earn a profit.

range of profit function defines the lowest to highest value of profit earned.

(b) the range of this function is (0 , 160 ). for this function, the range represents the outlet's profit earned.

explanation:

previous steps have made pa≅ pb ≅ st ≅ su. setting the compass width to ab allows you to make tu the same length. then δstu ≅ δpab by the sss congruence postulate, and ∠p ≅ ∠s by the reason cpctc.