Ametal rod needs to be 9 feet and 5.5 inches in length. the sections of the poles being used are each 1 foot and 10.5 inches long. how many 1ft 10.5in sections would be needed to complete the 9ft 5.5in metal rod? and how many inches of material will be left?

Step-by-step explanation:

Let's first get rid of the feet and turn everything into inches.

1 foot = 12 inches.

9 * 12 + 5.5 = 113.5

1 * 12 + 10.5 = 22.5

We need a rod that's 113.5 inches long, each section is 22.5 inches.

22.5x = 113.5 Simple division here to get 5.

We now do 22.5 * 5 to get 112.5 A little bit off aren't we? So we can just add 1 to how many poles there will be making it 6.

22.5 * 6 = 135 Now we are over.

We would need 6 poles which add up to 135 inches.

We can now do 135 - 113.5 to get 21.5 inches left which are left.

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