Julian has partially filled the prism below with 16 unit cubes.

Mathematics

1 answer:

Gre4nikov [31]2 years ago

3 0

He needs 20 more unit cubes to completely fill the prism

<h3>How to determine the number of unit cubes?</h3>

The dimension of the prism is given as;

4 by 3 by 3

The volume is calculated as:

Volume = 4 * 3 * 3

Volume = 36

He has already filled 16 units.

So, the units remaining is

Remaining = 36 - 16

Evaluate

Remaining = 20

Hence, he needs 20 more unit cubes to completely fill the prism

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David can paint a fence in ten hours. Alex can paint the same fence in eight hours. If

xxTIMURxx [149]

Answer:

40/9

Step-by-step explanation:

Use the work formula, $\frac{1}{A}$ + $\frac{1}{B}$ = $\frac{1}{T}$ , where A is the amount of time it takes one person, B is the amount of time it takes another person, and T is the time it takes for them to work together.

Plug in the times for David and Alex alone:

$\frac{1}{10}$ + $\frac{1}{8}$ = $\frac{1}{T}$

Find the least common denominator, which is 40.

$\frac{4}{40}$ + $\frac{5}{40}$ = $\frac{1}{T}$

$\frac{9}{40}$ = $\frac{1}{T}$

Cross multiply and solve for T:

9T = 40

T = 40/9

So, if they worked together, it would take them 40/9 hours

3 0

3 years ago

Read 2 more answers

-2(3y - 6) + 4(5y - 8) = 92

Whitepunk [10]

Answer:

y = 8

Step-by-step explanation:

$-2(3y - 6) + 4(5y - 8) = 92\\\\\mathrm{Expand\:}-2\left(3y-6\right)+4\left(5y-8\right):\quad 14y-20\\14y-20=92\\\\\mathrm{Add\:}20\mathrm{\:to\:both\:sides}\\14y-20+20=92+20\\\\Simplify\\14y=112\\\\\mathrm{Divide\:both\:sides\:by\:}14\\\frac{14y}{14}=\frac{112}{14}\\\\Simplify\\y= 8$