Alex and leandro purchase two matinee movie tickets. a matinee ticket costs , a drink costs , and a bag of popcorn costs . define each variable and write an algebraic expression to describe how much they spend based on the number of drinks and bags of popcorn they buy.

 (2p + 1.5d)  + (5*(2)) = T

Step-by-step explanation: (2p + 1.5d)  + (5*(2)) = T

Since there are no costs, i'll make up my own uwu;

Matinee = $5

Popcorn = $2

Drink = $1.5

T = total

(2p + 1.5d)  + (5*(2)) = T

2p ($2 for each bag of popcorn - p represents popcorn)

1.5d ($1.5 for each drink, - d represents drinks)

5*2 ( 5 * 2 because we are already given the amount of matinee tickets they buy.

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.

x ≥ 18 is your answer

step-by-step explanation:

let "a number" = x

(2/3)x + 17 ≥ 29

isolate the variable (x). do the opposite of pemdas (parenthesis, exponent (& root), multiplication, division, addition, subtraction).

first, subtract 17 from both sides.

(2/3)x + 17 (-17) ≥ 29 (-17)

(2/3)x ≥ 29 - 17

(2/3)x ≥ 12

next, multiply 3/2 to both sides to isolate the x

(3/2)(2/3)x ≥ 12(3/2)

x ≥ 12(3/2)

simplify. multiply, then divide

x ≥ (12 * 3)/2

x ≥ (36)/2

x ≥ 18

x ≥ 18 is your answer

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