Simplify the expression by arranging the steps in sequence, based on the order of operations. 1/6(30x+24)-1/7(63-7x)

* (6x-5)

Step-by-step explanation:

Factor out 1/42 from both fractions first:

=

1/42 * (7(30x+24) - 6(63-7x))

then distribute the multiplication and combine like terms:

= 1/42 * (210x + 168 - 378 +42x)

= 1/42 * (252x-210)

Factor:

= 1/42 * 42(6x-5)

= 42/42 * (6x-5)

d 25 pi/6

step-by-step explanation:

the diameter is 10 inches

the radius is 1/2 of the diameter or 5 inches

the area of the circle is

a = pi r^2

  = pi 5^2

  = 25 pi

the slice is 60 degrees of the entire circle.

60 degrees out of 360   60/360 = 1/6

the area of the slice is 1/6 of the circle

a slice = 1/6 a circle

a slice = 1/6 * 25 pi