Abook vendor is trying to sell his booking collection. one customer buys 1/4 of his books , another buys 1/3 of his books ,and a third buys 1/6 of his books. if the vendor is left with 15 books , how many did he start out with ?

60 books

Step-by-step explanation:

One customer buys 1/4 of a book vendor's books , another buys 1/3 of his books ,and the third person buys 1/6 of his books.

The lowest common multiple of 4, 3 and 6 is 12

1/4 × 12 = 3

1/3 × 12 = 4

1/6 × 12 = 2

We add all together= 3+4+2= 9

So we've gotten our numerators as 9 and denominator as 12 which is 9/12 = 3/4

Since the total books bought is 3/4. The fraction of books left will be

1-3/4 = 1/4

The book vendor has 15 books left. So we divide 15 by 1/4.

= 15 ÷ 1/4

= 15 × 4

= 60

9) i can't see the angle so whatever it is just do this: cos(angle) x hypotenuse and then use that answer and they hypotenuse and plug it into this: (answer you just got)^2 + b^2 = (hypotenuse)^2. the first answer will be the answer of the adjacent side and the second answer after this equation will be the opposite side.

10) y = 14 x = √147 or 12.12435565

11) x = 4.8

12) x = 4.2

13) x = 9.3

14) pq: 13.2

qr : 17.6

angle p: 53º

15) angle c: 54.3º

angle a: 35.7º

16) h = 21040

v = 1841

step-by-step explanation:

10) 7/sin(30) = 14 = y

7^2 + b^2 = 14^2

49 + b^2 = 196

b^2 = 196 - 49

√b^2 = √147

x = √147

11) cos(70) x 14 = 4.788282007

x = 4.8

12) tan(25) x 9 = 4.196768923

x = 4.2

13) sin(31) x 18 = 9.270685348

x = 9.3

14) pq: sin(37) x 22 = 13.23993051

pq: 13.2

qr: cos(37) x 22 = 17.56998122

qr : 17.6

angle p: 180 - (37 + 90) = 53º

15) cos-1(7/12) = 54.31466529

angle c: 54.3º

angle a: 180 - (90 + 54.31466529) = 35.68533471

angle a: 35.7º

16) 4 x 5280 = 21120

cos(5) x 21120

h = 21039.63202

h = 21040

sin(5) x 21120

v = 1840.729287

v = 1841

step-by-step explanation:

i believe its "c" because all of the other options include a but it could be d because there is a way of financing with cash at certain places but its uncommon.