Lars bought 3 jars of marbles. each jar has 42 marbles, of which 1/3 are red. lars can use the calculation below to find the total number of red marbles. 3×(1/3×42) how can lars simplify the calculation using only the associative property of multiplication? drag and drop the appropriate number or expression into each box. : x 1/3 3 42 (3 x 1/3) (1/3 x 42)

3x(1/3x42)= (3 x 1/3)x42

Hence, the answer is (3 x 1/3) x 42.

Hope this answer helped you! :)

the surface area is 124cm²

step-by-step explanation:

length: 4cm

width: 9cm

height:   2cm

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