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Anit [1.1K]
3 years ago
8

A cube is packed with decorative pebbles. If the cube has a side length of 6 inches, and each pebble weighs on average 0.5 lb pe

r cubic inch, what is the total weight of the pebbles in the cube?
Mathematics
2 answers:
Rudik [331]3 years ago
8 0
The volume of the cube is 6*6*6 (in cubed)=216 (in cubed).

    in 1 cubic inch, there is 0.5 lb of weight

so in 216 cubic inch, there are 216*0.5 lb = 108 lbs of weight  

Answer: 108 lbs
monitta3 years ago
8 0

Answer: 108 lbs.

Step-by-step explanation:

Given : A cube is packed with decorative pebbles. If the cube has a side length of 6 inches.

Volume of cube = (side)^3

i.e. Volume of cube = (6)^3=216\text{ cubic inches}

Since , each pebble weighs on average 0.5 lb per cubic inch.

Then, the total weight of the pebbles in the cube will be

= 0.5 x Volume of cube

= 0.5\times216=108\text{ lb}

Hence,  the total weight of the pebbles in the cube =108 lbs.

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klasskru [66]

Answer: \frac{22}{3}

Step-by-step explanation: Divide

5\frac{1}{2}\div \frac{3}{4}

Step 1: Convert the mixed number to improper fraction

5 \frac{1}{2} =\frac{11}{2}

= \frac{11}{2}\div \frac{3}{4}

Step 2: Reciprocal

\frac{11}{2}\times \frac{4}{3}

Step 3: Divide the common factors

4 \div 2 = 2\\\\=\frac{11}{1}\times \frac{2}{3}

Step 4: Multiply

\frac{11\times \:2}{1\times \:3}\\\\=\frac{22}{3}

5 0
3 years ago
Three less than one-fourth of the product of eight thirds and nine. Please write equation, then solve.
kenny6666 [7]
Put simply, you have to work backwards in making the equations. Start with the product of 8/3 and 9.
\frac{8}{3}*9

 Next take 1/4 of that. This can be done in two ways, either multiplying by 1/4:
(\frac{8}{3}*9)*\frac{1}{4}

, or dividing everything by 4.
(\frac{8}{3}*9)/4

Finally, subtract three.

The final equation would read:
((\frac{8}{3}*9)*\frac{1}{4})-3



Using PE(M/D)(A/S), we'd start with \frac{8}{3}*9

3 and 9 cancel out to be 1 and 3, leaving us with \frac{8}{1}, or 8, and 3 and this part of the equation reading 8*3, which is 24.

The next step is \frac{24}{4}, which is 6.

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7 0
3 years ago
Read 2 more answers
Which function represents g(x), a reflection of f(x) = 4across the x-axis?
fiasKO [112]

Answer:

Option C g(x) = -4

Step-by-step explanation:

In the question a function f(x) =4 is given and we are required to tell the reflection g(x) of the given function.

The rule of reflection for a function says that:

f(x) -> - f(x)

So, in our case the value of function is f(x) = 4, after reflection the value across the x-axis the value will become negative i.e -4,

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Hence Option C g(x) = -4 is correct option.

3 0
3 years ago
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Answer:

40

Step-by-step explanation:

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3 years ago
Helpppp!Match the following graphs to the right system.
Brut [27]
Once they are put into standard form:
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4. y≥6/5x-6      Original: 6x-5y≥30

Answers:

The first graph:
Blue line: 3x+2y≤12
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The second graph:
Blue line: 3x+2y≥12
Red line: 6x-5y≤30

3 0
3 years ago
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