00:00 Use the Distributive Property to find the product of 6 x 3,584. Enter your answer in the box.

  21,504

Step-by-step explanation:

This is the usual method multiplication is done "by hand."

  6 × 3584 = 6 × (3000 +500 +80 +4)

  = 6×3000 +6×500 +6×80 +6×4

  = 18000 +3000 +480 +24

  = 21000 +504

  = 21,504

Many of us are taught in grade school to do the multiplication right to left:

  = 6×4 +6×80 +6×500 +6×3000

... writing down the digit corresponding to the place value of the product, and "carrying" any more significant digits to add to the next product.

Here, that looks like 6×4 = 24, write down 4, carry 2. 6×8 = 48, add 2 to get 50, write down 0, carry 5. 6×5 = 30, add 5 to get 35, write down 5, carry 3. 6×3 = 18, add 3 to get 21, write down 21. Then the product is 21504.

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When doing mental calculation, or using an abacus or soroban, it often works better to do the multiplication left to right, as shown in the answer above.

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .