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larisa [96]
3 years ago
13

How many 5/8 foot pieces of wood can you cut from a board that is 4 5/8 feet long?

Mathematics
1 answer:
Delvig [45]3 years ago
3 0
So how many of 5/8 wood pieces out of a 4 5/8 board
let's make the board size into a improper fraction so 8*4+5 = 37
so the board is 37/8
how many times can 5/8 go into 37/8
37/8  / 5/8
"Keep, change, flip" (for division of fractions)
keep the first number, change the sign into multiplication, and flip the last fraction
37/8 * 8/5
That is 7 2/5
Only 7 full 5/8 feet pieces of wood can be cut from a board that is 4 5/8 feet long (remainder 2/5)

Hope this helps :)
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Answers with Explanation.


i. If we raise a number to an exponent of 1, we get the same number.

{10}^{1}  = 10

ii. If we raise 10 to an exponent of 2, it means we multiply 10 by itself two times.

{10}^{2}  = 10 \times 10 = 100

iii. If we raise 10 to an exponent of 3, it means we multiply 10 by itself three times.



{10}^{3}  = 10 \times  {10}^{2}  = 10 \times 100 = 1000

iv. If we raise 10 to an exponent of 4, it means we multiply 10 by itself four times.


{10}^{4}  =  10 \times {10}^{3} = 10 \times 1000 =  10000

v. If we raise 10 to an exponent of 5, it means we multiply 10 by itself five times.



{10}^{5}  = 10 \times  {10}^{4}  = 10 \times 10000 = 100000

{10}^{5}  = 100000

vi. Recall that,

{a}^{ - m}  =  \frac{1}{ {a}^{m} }
We apply this law of exponents to obtain,

{10}^{ - 2}  =  \frac{1}{{10}^{2} }  =  \frac{1}{100}

vii. We apply
{a}^{ - m}  =  \frac{1}{ {a}^{m} }
again to obtain,


{10}^{ - 3}  =  \frac{1}{ {10}^{3} }  =  \frac{1}{1000}





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<span>C2D3
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<span>Then set that equation equal to your solubility constant </span>

<span>9.14x10-9 = 108x5 </span>
<span>x = 9.67x10-3 
</span>
<span>So the molar solubility is 9.67x10-3</span>
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