Kevin has 3 bags of apples weighing a total of 22 1/2 pounds. two of the bags weigh 6 3/8 pounds and 3 1/4 pounds. how much does the third bag weigh?
a 11 7/8
b 12 4/8
c 12 7/8
d 13 5/8

C -12 7/8

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

First, we have to sum the weights of bag 1 and 2:

6 3/8 + 3 1/4=

6 3/8 + 3 2/8 = 9 5/8

Finally we subtract the number calculated to the total weight.

22 1/2 - 9 5/8=

22 4/8 -9 5/8=

21 (8/8 +4/8) - 9 5/8 =

21 12/8 - 9 5/8=

12 7/8

3rd bag weight: 12 7/8 pounds

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

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step-by-step explanation: