Answer:
5.83
Step-by-step explanation:
Make a third point such that line KQ is the hypotenuse of a right triangle. See attachment.
49,98,147,196,245,294,343,392,441,490,539,588,637,686,735,784,833,882,931,980,1029,1078,1127,1176,1225,1274,1323,1372,1421,1470,1519,1568,1617,1666,1715,1764,1813,1862,1911,1960,2009,2058,2107,2156,2205,2254,2303,2352,2401,
Answer:
13 ingredients
Step-by-step explanation:
The number of different recipes that can be made from 2 ingredients = 78
Since there are no two recipes that share the exact same two ingredients ;
The number of recipes in Mark's kitchen is:
nCk = 78
k = Number of ingredients per recipe = 2
n = total number of ingredients in kitchen
Total recipes made = 78
n! / (n-r)!r! = 78
n! / (n - 2)!2! = 78
n(n-1)(n-2)! / (n-2)! * 2 * 1 = 78
n(n - 1) / 2 = 78
n(n-1) = 156
n² - n = 156
n² - n - 156 = 0
Factorize :
n² - 13n + 12n - 156 = 0
n(n - 13) +12(n-13) = 0
(n-13) = 0 ; (n+12) = 0
n = 13 or n = - 12
n cannot be negative
Hence, n = 13
Number of ingredients is 13
The answer is 25%.
First: work out the difference between the two numbers you are comparing.
Decrease = Original Number - New Number
35-28=7
Then: divide the decrease by the original number and multiply the answer by 100. % Decrease = Decrease ÷ Original Number × 100
7÷
28=.25
.25*100=25
<h2>
Answer is 25%.</h2>
