Jasmine and Lisa each improved their yards by planting daylilies and geraniums. They bought their supplies from the same store. Jasmine spent $128 on 8 daylilies and 11 geraniums. Lisa spent $53 on 1 daylily and 6 geraniums. What is the cost of one daylily?

Step-by-step explanation:

Step one:

let daylilies be x

and geraniums be y

the systems of the equation for the solution is given as

8x+11y=1281

x+6y=532

Step two:

solve the equation simultaneously by substitution we have

8x+11y=128

x+6y=53

x=53-6y

put x=53-6y in equation 1

8(53-6y)+11y=128

424-48y+11y=128

-48y+11y=128-424

-37y=-296

y=296/37

y=8

put y=8 in x=53-6y

x=53-6(8)

x=53-48

x=5

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 .

let m = monomial

let t = trinomial

so, m times t = t.

monomial times a trinomial = another trinomial.