At a garage sale, Samuel purchased used books and DVDs. He bought a total of 18 items and spent $11. Each book cost $0.50 and each DVD cost $0.75. How many books did Samuel purchase?

10 books

Step-by-step explanation:

Let the number of books bought be represented by x.

Let the number of dvds bought be represented by y.

The information given in the question can be formed into an equation as:

x + y = 18 i

0.50x + 0.75y = 11 ii

Multiply equation i by 0.75

Multiply equation ii by 1

0.75x + 0.75y = 13.50 iii

0.50x + 0.75y = 11 iv

Subtract iv from iii

0.25x = 2.50

x = 2.50/0.25

x = 10

Samuel bought 10 books

50.6

step-by-step explanation:

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .