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USPshnik [31]
3 years ago
13

Which expression is the same as 809 thousand and 45 hundredths

Mathematics
1 answer:
Klio2033 [76]3 years ago
4 0

Answer and explanation:

To find : Which expression is the same as 809 thousand and 45 hundredths ?

Solution :

Expression 809 thousand and 45 hundredths can be in the form,

Standard form is writing in number form.

809 thousand = 809000

45 hundredths = 0.45

So, 809 thousand and 45 hundredths is 809000.45.

Expanded form is writing number according to their place value.

809000.45=8\times 100000+0\times 10000+9\times 1000+0\times 100+0\times 10+0\times 10^0+4\times 10^{-1}+5\times 10^{-2}

809000.45=800000+9000+0.4+0.05

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Answer: 284 boxes in the shape of the cubes can be fitted in the truck.

Step-by-step explanation:

If a truck is fitted fully with the cubes, volume of the truck will be equal to the volume of cubes to be fitted.

Dimensions of the truck given in the question,

Length = 10 feet, width = 12 feet and height = 8 feet

Since, volume of a cuboid (shape of a truck) is given by the expression,

Volume = Length × Width × Height

Therefore, volume of the truck = 10 × 12 × 8

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Volume of a cube is given by the expression,

Volume = (side)³

Therefore, volume of the cube with side length 1.5 feet will be,

Volume of a cube = (1.5)³

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Let the number of cubes fitted in the truck = x

Therefore, volume of 'x' cubes = (3.375x) feet³

Since, volume of the truck = Volume of the cubes fitted

3.375x = 960

x =  960/3.375

x = 284.44

x ≈ 284

    Therefore, 284 boxes in the shape of the cubes can be fitted in the truck.

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We have to solve this quadratic equation n^{2}+n=56 for n to get <em>which figure has 56 blocks</em>.

n^{2}+n=56\\n^{2}+n-56=0

For middle term factorization, we need <em>two numbers that multiplied gives us -56 and added gives us 1 (coefficient of n).</em>

<em>Such two numbers are </em><em>8</em><em> and </em><em>-7</em><em>. We can now write,</em>

<em>n^{2}+n-56=0\\(n+8)(n-7)=0\\n=-8, 7</em>

<u><em>"There is no negative figure number possible, so we disregard -8"</em></u>

Our answer is 7.


ANSWER: The 7th figure has 56 blocks.


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The answer to the question is $2 million

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Answer:

Step-by-step explanation:

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