Suppose Clare labels the books at a constant speed of s books per minute. Write an equation that represents the relationship between her labeling speed and the number of minutes it would take her to finish labeling.

75 minutes

50 minutes

Number of minutes to finish labelling = Total number of books labelled / Time taken to label them (speed of labelling)

Step-by-step explanation:

Complete question below:

Clare volunteers at a local library during the summer. Her work includes putting labels on 750 books.

How many minutes will she need to finish labeling all books if If she takes no breaks and labels:

a. 10 books a minute

b. 15 books a minute

Suppose Clare labels the books at a constant speed of books per minute. Write an equation that represents the relationship between her labeling speed and the number of minutes it would take her to finish labeling

Solution

a. 10 books a minute

Number of minutes to finish labelling all books at 10 books per minute = Total books / books labelled per minute

= 750 / 10

= 75 minutes

Number of minutes to finish labelling all books at 10 books per minute = 75 minutes

b. 15 books a minute

Number of minutes to finish labelling all books at 15 books per minute = Total books / books labelled per minute

= 750 / 15

= 50 minutes

Number of minutes to finish labelling all books at 15 books per minute = 50 minutes

c. The relationship between her labeling speed and the number of minutes is Total number of books labeled ÷ Time taken to label them

Number of minutes to finish labelling = Total number of books labelled / Time taken to label them (speed of labelling)

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,

step-by-step explanation: