Mrs. Smith bought 3-1/2 yards of yellow fabric. She used 2/3 of the fabric to make a chicken costume. How much fabric did she use?

a
2-1/3
b
2-2/6
c
14/6
d
1/3

2 1/3 yds

Step-by-step explanation:

Change the 3 1/2 to a mixed number

3 1/2 = (2*3 +1)/2 = 7/2

Multiply the total fabric by the fraction used

7/2 *2/3 = 7/3

Change this back to a mixed number

3 goes into 7 two times

3*2 =6  with 1 left over

2 1/3 yds

a) 2⅓

Step-by-step explanation:

3½ = 7/2

(2/3) × (7/2)

7/3

2⅓

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true