Answer:
<em>Answer to part A:</em>
1 notebook = $2.5
1 pen = $1.5
<em>Answer to part B:</em>
= 3 pens.
Step-by-step explanation:
- <em>Here's the simultaneous equation.</em>
4n + 3p = $14.50
5n + 6p = $21.50
- <em>Multiply the numerator by the denominators first number and vice-versa.</em>
5(4n + 3p) = $14.50
4(5n + 6p) =$ 21.50
- <em>Here's what you should get.</em>
20n + 15p = $72.50
20n + 24p = $86
- <em>Eliminate the like numbers by subtracting the denominator from the numerator.</em>
20n - 20n = 0
15p - 24p = -9p
$72.50 - $86 = -$13.5
- <em>Divide the result after the equal sign by the result before the equal sign.</em>
-$13.5 ÷ -9 = $1.5p
- <em>Since we've found the cost of one pen as $1.5, lets substitute any of the first equations to get the cost of one notebook.</em>
4n + 3p = $14.50
4n + 3($1.5) = $14.50
4n + $4.5 = $14.50
4n = $14.50 - $4.5
4n = $10.00
n = $2.5
- <em>Here's the answer to part A:</em>
1 notebook = $2.5
1 pen = $1.5
- <em>Part B::::::::::::::::::</em>
1 ($1.5) = 3($2.5)
$1.5 + $7.5 = $9.0
$27 ÷ 9 = $3
- <em>Therefore, she'll buy each supply thrice:</em>
3 ( $1.5 + $7.5 ) = 3 ( $9.0 )
( $4.5 + $22.5 ) = ( $27 )
$4.5 + $22.5 = $27
- <em>Answer to part B:</em>
= 3 pens.
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Complete question:
Kono divides The numerator and the denominator of 48 over 72 by the greatest common factor to simplify the fraction in one step by what number does he divide
Answer:
2/3
Step-by-step explanation:
Given the number : 48 / 72
Obtain the greatest common factor of 48 and 72
- - - - 48 - - - - 72
- 2-- 24 - - - - 36
- 2 - 12 - - - - - 18
- 2 - 6 - - - - - - 9
- 3 - 2 - - - - - - 3
The greatest common factor of 48 and 72 is hence (2 * 2 * 2 * 3) = 24
Hence, divide both the numerator and denominator by 24 ;
Numerator = 48/24 = 2
Denominator = 72 / 24 = 3
= 2/3
Answer:
no pairs
Step-by-step explanation:
no pairs are equal and they all intersect at a point
