Rasheed is buying wings and quesadillas for a party. a package of wings costs $8. a package of quesadillas costs $10. he must spend no more than $160. rasheed’s freezer will hold a maximum of 20 packages of wings and quesadillas. part a: write a system of linear inequalities to represent the situation.

Rasheed is buying wings and quesadillas for a party.

A package of wings costs $8

A package of quesadillas costs $10

Let number of wings = w

Let number of quesadillas = q

If he must spend no more than $160

8w + 10q ≤ 160

Rasheed’s freezer will hold a maximum of 20 packages of wings and quesadillas

Therefore, w + q ≤ 20

System of linear inequalities to represent the situation:

{8w + 10q ≤ 160

{w + q ≤ 20

3/4 ÷ 3/4

step-by-step explanation:

basically divide any proper fraction with itself to fit the criteria.

so if we are using 3/4, then:

3/4 ÷ 3/4 = 1

so 1 is the quotient.

and the numerators for both these fractions is 3.   and if we divide the numerators:

3 ÷ 3 = 1

we see that quotient is equal to our original quotient as well.

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950