15. a. Write an expression that uses both multiplication and addition (or subtraction) to describe the total fraction of Figure 5.7 that is shaded. (For example, 5/7·2/9+1/3 is an expression that uses both multiplication and addition.) Explain your reasoning. Then determine what fraction of the figure is shaded (in simplest form). You may assume that lengths appearing to be equal really are equal. b. Draw a figure in which you shade 1/4⋅1/3+3/5⋅1/3 of the figure. Explain your reasoning, then determine what fraction of the figure is shaded (in simplest form).

The picture is attach

the final price would be 29.6925

step-by-step explanation:

39.59 minus 25% equals 29.6925

x ≥ 18 is your answer

step-by-step explanation:

let "a number" = x

(2/3)x + 17 ≥ 29

isolate the variable (x). do the opposite of pemdas (parenthesis, exponent (& root), multiplication, division, addition, subtraction).

first, subtract 17 from both sides.

(2/3)x + 17 (-17) ≥ 29 (-17)

(2/3)x ≥ 29 - 17

(2/3)x ≥ 12

next, multiply 3/2 to both sides to isolate the x

(3/2)(2/3)x ≥ 12(3/2)

x ≥ 12(3/2)

simplify. multiply, then divide

x ≥ (12 * 3)/2

x ≥ (36)/2

x ≥ 18

x ≥ 18 is your answer

~

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

m∠a is 90°

m∠b is 40°