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2 years ago

7

A cube of side 6 cm is painted on all its sides. If it is sliced into 1 cubic cm cubes, how many 1 cubic cm cubes will have exac

tly one of their sides painted?

1 answer:

const2013 [10]2 years ago

4 0

Answer:

162 cubes

Step-by-step explanation:

48 cubes will have 2 sides.

8 cubes will have 3 sides.

216-54 = 162

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Ella grew 3 over 4 of an inch last year. Ben grew 2 over 3 of an inch last year. How much more did Ella grow than Ben last year?

IrinaK [193]

Answer:

Ella grew $\frac{1}{12}$ of an inch more

Step-by-step explanation:

For this problem, you want to subtract Ben's growth from Ella's.

This expression would be $\frac{3}{4}$ - $\frac{2}{3}$ .

To work these out, they must have the same denominator (which should be the lowest common multiple or LCM).

In this case, the LCM is 12, so you want to multiply each side so the denominator is 12. This means the first fraction should be multiplied by $\frac{3}{3}$ and the second by $\frac{4}{4}$ .

This makes the expression $\frac{9}{12}$ - $\frac{8}{12}$ , which equals $\frac{1}{12}$ .

**This content involves adding and subtracting fractions, which you may want to revise. I'm always happy to help!

7 0

2 years ago

Suppose f(x) = 1/4 over the range a ≤ x ≤ b, and suppose P(X > 4) = 1/2.

Anettt [7]

Answer:

a=2

b=6

Step-by-step explanation:

Assuming a uniform distribution and that a ≤ x ≤ b, if f(x) = 1/4, then:

$f(x) =\frac{1}{4}=\frac{1}{b-a}\\b-a = 4$

If P(X > 4) = 1/2, then:

$\frac{1}{2} = 1-(\frac{x-a}{b-a})=1-(\frac{4-a}{4})\\a-4+4 =\frac{1}{2}*4\\ a=2\\b=4+a\\b=6$

The values for a and b are, respectively, 2 and 6.

3 0

3 years ago

What happens to the ones digit when you add on tens?

Nata [24]

Answer:

nothing

Step-by-step explanation:

The ones digit will not change.....only the 'tens' digit will change...

3 0

1 year ago

In ΔRST, the measure of ∠T=90°, RS = 90 feet, and TR = 76 feet. Find the measure of ∠S to the nearest tenth of a degree.

Rama09 [41]

Answer:

57.6

Step-by-step explanation:

6 0

2 years ago

i need help with my math :( im horrable with it i cant do divideing fractions nor multiply and i dont know most of my multiples

vladimir1956 [14]

Step-by-step explanation:

To multiply the fractions, like

$\frac{1}{4} \times \frac{1}{9}$

Multiply the top,

then multiply the bottom.

$\frac{1}{4} \times \frac{1}{9} = \frac{1 \times 1}{4 \times 9} = \frac{1}{36}$

Try to use a calculator if you aren't arithmetic heavy, but I suggest you to try to remember them because they are going to be helpful for courses like Algebra, Calculus, Statistics, etc.

To divide fractions, like

$\frac{ \frac{1}{5} }{ \frac{1}{8} }$

You take the top number,

$\frac{1}{5}$

Then you flip the bottom number,

$\frac{8}{1}$

Then multiply the two

$\frac{1}{5} \times \frac{8}{1} = \frac{8}{5}$

And that is your answer. Comment if you need more clarification

6 0

1 year ago