Mrs.Feinstein recorded the weight, in pounds, recorded of each of her 8 great-grandchildren. Her data are shown.

How many 3cm cubes can be put in a box 3cm long 6cm wide 12cm high?

lisov135 [29]

Answer:

8

Step-by-step explanation:

A cube is equal on all sides. Therefore the cubes must be 3cm x 3cm x 3cm. Therefore, each cube has an area of 27cm^3. The box that the cube has an area in is 3cm x 6cm x 12 cm which = 216cm^3. If you do $216cm^3/27cm^3 = 8 cubes$

7 0

1 year ago

Read 2 more answers

Line CD passes through points C(3, –5) and D(6, 0). What is the equation of line CD in standard form? 5x + 3y = 18 5x – 3y = 30

ddd [48]

$\bf C(\stackrel{x_1}{3}~,~\stackrel{y_1}{-5})\qquad 
D(\stackrel{x_2}{6}~,~\stackrel{y_2}{0})
\\\\\\
slope = m\implies 
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{0-(-5)}{6-3}\implies \cfrac{0+5}{6-3}\implies \cfrac{5}{3}
\\\\\\
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-(-5)=\cfrac{5}{3}(x-3)\implies y+5=\cfrac{5}{3}(x-3)$

$\bf \stackrel{\textit{multiplying both sides by LCD of 3}}{3(y+5)=3\left[ \cfrac{5}{3}(x-3) \right]}\implies 3y+15=5(x-3)
\\\\\\
3y+15=5x-15\implies -5x+3y=-30\implies \stackrel{\textit{multiplying by -1}}{5x-3y=30}$

bearing in mind the standard form uses all integers, and the x-variable cannot have a negative coefficient.

6 0

3 years ago

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What is the standard form of (2-4i)(3+51)/(3+i)

garri49 [273]

(1⋅3+1(5i)−2i(3+5i))(3−i)51⋅3+15i-2i3+5i3-i5

6 0

2 years ago

Evaluate the expression. 4! • 3! 12 U 30 144 5 040

lukranit [14]

4!•3! = 144
you’re welcome :)

8 0