In martin's class of 20 students, 4 students report that social studies is their favorite class and 75% of the students report that pe is their favorite class. show your work to explain how to determine whether more students prefer social studies or pe.

More student's prefer PE. See numbers below.

Step-by-step explanation:

Remark

You have to assume that the choices are mutually exclusive. That means that if a student likes PE he can't choose Social Studies. If he likes Social Studies best then he doesn't like PE best.

Begin by finding out what 75% of the students are.

75/100 * 20 = 75 * 20/100 = 1500/100 = 15.

Fifteen students prefer PE. Only 4 like Social Studies.

15 > 4

hello from mrbilldoesmath!

answer:   (7x + 6y) ( 49x^2 - 42xy + 36y^2)

discussion:

in general, the factorization of a^3 + b^3 is

a^3 + b^ 3 = (a + b) ( a^2 - ab + b^2)

in our case note that 343 = 7^3 and 216 = 6^3 so the equation becomes:

343x^3 + 216y^3 = (7x)^3 + (6y)^3

if you think of a (above) as 7x and b as 6y the factorization becomes

343x^3 + 216y^3 =

((7x + 6y) (   (7x)^2 - 7x*6y + (6y)^2)   =

(7x + 6y) ( 49x^2 - 42xy + 36y^2)

you,

mrb

(a + b) (a^2 - a b + b^2)