Rafael, denise, and philippe are doing a project together. they decide to base the project on a book that is 540 pages long. rafael plans to read a certain number of pages. denise will read 3/4 of the number of pages rafael reads, and philippe will read 1/2 of the number of pages that rafael reads. how many pages will rafael read?
a.180
b.240
c.300
d.432

  B. 240

Step-by-step explanation:

Let x be the number of pages Rafael read,

According to the question,

Number of pages Denise will read =

And, the number of pages Philippe will read =

Since, the total umber of pages = 540

Hence, the number of pages Rafael read = 240 pages.

⇒ Option B is correct.

1/3

step-by-step explanation:

to find this, you can divide 12 by 4 which is 3 or you can multiply 4 until you reach 12 (4x3=12). both should give you 3, meaning theres three times less bananas than there are oranges.

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is