Factor the expression: 20b - 16
2 answers:
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Let d represent number of days and n represent number of workers.
We have been given that when building a house, the number of days required to build varies inversely with with the number of workers.
We know that the equation represents the relation where y is inversely proportional to x and k is the constant of proportionality.
So our required equation would be
Upon substituting our given values, we will get:
Since constant of proportionality is 665, so our equation would be .
To find the number of days it will take to build a similar house with 5 workers, we will substitute in our equation as:
Therefore, it will take 133 days for 5 workers to build a similar house.
The total number of stickers :
Page 1 : 28
Page 2 : 24
Page 3 : 72
Page 4 : 48
<h3>Further explanation </h3>There are several properties in integer multiplication operations
- 1. closed property
Multiplication between integers will produce integers too
- 2. commutative property
a x b = b x a
- 3. associative property
ax (bxc) = (axb) xc
- 4. identity
ax1 = 1 x a = a
- 5. distributive property
* addition
ax (b + c) = axb + axc
* substraction
ax (b-c) = axb - axc
We can use facts to solve multiplication problems
for example :
6 x 7 = (5 x 7) + ( 1 x 7) = 42
we can break facts with 6 into 5s and 1s facts from multiplication above
julia puts her stickers into arrays in an album
From picture (attached) we can find the total number of stickers on each page with 1s,2s,3s and 5s facts
- Page 1 : 4 x 7 = (2 x 7) + ( 2 x 7) = 14 + 14 = 28
- Page 2 : 4 x 6 = (1 x 6) + (3 x 6) = 6 + 18 = 24
- Page 3 : 8 x 9 = ( 3 x 9) + (5 x 9) = 27 + 45 = 72
- Page 4 : 8 x 6 = (3 x 6) + (5 x 6) = 18 + 30 = 48
the multiplicative identity property
Keywords : stickers, arrays, album, page, Julia
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