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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.

(a) 75 minutes

(b) 50 minutes

(c) labeling speed = Number of books to label ÷ Time taken to finish labeling them

Step-by-step explanation:

Firstly, she has 750 books to label and she labels 10 books in a minute. Hence, the number of minutes it will take her will equal the number of books divided by the number of books labeled in a minute.

This will be 750/10 = 75 minutes

Secondly, we use the same approach here but the number of books she labeled in a minute is different. Hence we get 750/15 = 50 minutes.

Lastly, the relationship between her labeling speed and the number of minutes is shown as follows.

The speed has a unit of books/minute since it is a rate and this is equal to number of books labeled ÷ Time taken to label them

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3

step-by-step explanation: