Answer:
50%
Step-by-step explanation:
Because you can get either 1 and 5 which is 6 or 10 and 1 whoch is 11 but the other two will give you 15+
You can exploit the difference-of-squares identity,
<em>a</em>² - <em>b</em>² = (<em>a</em> - <em>b</em>) (<em>a</em> + <em>b</em>)
Then
101.5² - 100.5² = (101.5 - 100.5) * (101.5 + 100.5)
101.5² - 100.5² = 1 * 202
101.5² - 100.5² = 202
Answer:
12 pieces
Step-by-step explanation:
Total length of the board = 48 in
It must be divided into 4 pieces of equal length
This means, there will be 3 cut to have 4 pieces
Each cut will cause a waste of 3/16 in.
Total waste = 3 cut × 3/16 in
= (3*3)/16
= 9/16 in
Length of board remaining = Total length of the board - Total waste
= 48 - 9/16
= (768-9)/16
= 759/16 in
How long will each piece be after the cuts are made?
Length of each piece after the cut = Length of board remaining / 4
= 759/16 ÷ 4
= 759/16 × 1/4
= 759/64
= 11.859375
Approximately 12 pieces to the nearest whole number
Answer:
f = -3 , 5/2
Step-by-step explanation:
8f² + 4f - 60 = 0
Divide the entire equation by 4
2f² + f - 15 = 0
Product = -30
Sum = 1
Factors = -5 , 6 {(-5)*6 = -30 and -5 +6 = 1}
2f² + f -15 = 0 {Rewrite the middle term using the factors}
2f² + 6f - 5f -15 = 0
2f(f + 3) - 5(f + 3) = 0
(f +3) (2f - 5) = 0
f +3 = 0 ; 2f -5 = 0
f = -3 ; 2f = 5
f = 5/2
