Agroup of friends is buying popcorn and soda at the movies. they want to buy at least 4 items, and can spend up to $20.00. popcorn costs $3.00 each and soda costs $1.00 each. let x represent the number of popcorns purchased, and y the number of sodas. which system of inequalities represent this situation

x + y ≥ 4

3x + y ≤ 20

Step-by-step explanation:

Since 'x' represents the number of popcorns and 'y' represents the number of sodas, the amount they want to purchase is at least 4 items.  So, the sum of these two must be greater than or equal to 4:

x + y ≥ 4

Given that they only have $20.00 to spend and the cost of popcorn is $3 and a soda costs $1, the sum can be at most $20:

3x + y ≤ 20

answer: 75°

step-by-step explanation:

∠esk is the supplement of ∠edk, so is 100°. ∠esd = 1/2·arc ed, so is 25°.

since ∠esk = ∠esd + ∠dsk

you have 100° = 25° + ∠dsk . .

fill in known values 75° = ∠dsk . . . . .

subtract 25°

step-by-step explanation: