Diego needs to put down sod on a yard that measures 30 feet by 45 feet. Company A says it can do the job for $3.90 per roll of sod, where one roll of sod is a rectangle with dimensions of 2 feet by 5 feet Company B says it can do the job for $150.00 per pallet that covers 450 square feet plus a $45 one-time dellvery charge. Which company is a better deal ? How much will Diego save?

Company B is the better deal. Diego will save $31.5.

Step-by-step explanation:

First, find the area of the rectangle: 45*30=1350 sq.ft.

Next, find out how much it will cost for Company A: $3.9 for 2 x 5 ft (10 sq.ft)

Divide 1350 by 10 to see how many of their sod rolls will fit into his yard=135.

Multiply $3.9 by 135=526.5$

Do the same with Company B: $150 for 450 sq.ft plus $45 delivery.

Dived 1350 by 450 to see how many rolls= 3

Multiply $150 by 3= $450, then add $45= $495

Subtract Company B's $495 from Company A's $526.5= $31.5 <-how much Diego saved.

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

v = 1/3 a^2h

step-by-step explanation:

the volume is 1/3 a^2h.