Steve needs to ship a box of dice, each of which is a cube with a volume of 1 cubic centimeter. How many dice can Steve fit in this box? A. 39 B. 270 C. 972 D. 1,944

D. 1,944

Step-by-step explanation:

the box's size is missing, so I looked for a similar question:

the box measures:

total volume of the box = 12 x 9 x 18 = 1,944 cm³

since each dice occupies a volume of 1 cm³, then you can fit 1,944 dices in each box.

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form

step-by-step explanation:

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