A rectangular suitcase measures 2 ft high by 3 ft long by 1 ft wide. Can an umbrella that is 42 inches long be packed in the suitcase? Justify your answer.

yes (see below)

Step-by-step explanation:

Use diagonal of a cuboid equation:  

where l is the length, w is the width and h is the height

ft

x 12 = 44.90 inches

As 42 < 44.90, the umbrella can be packed in the suitcase.

is means division by fractions

step-by-step explanation:

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