Answer:
Combine any like terms on each side of the equation: x-terms with x-terms and constants with constants. Arrange the terms in the same order, usually x-term before constants. If all of the terms in the two expressions are identical, then the two expressions are equivalent.
Step-by-step explanation:
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
Answer:
A subject and a predicate
Step-by-step explanation:
Have a good day :)
Answer:
One has $80 and the other has $480
Step-by-step explanation:
First we look at our total amount of $560, and I solved this by thinking of a logical number that could be multiplied and still add up to this total.
I got to $80 as my answer for the first man because 80 multiplied by 6 is equal to 480 which therefore accounts for the second man
480+80=560, simple
Answer:
94
Step-by-step explanation:
1) make 4² to 16
2 * 3 * (16+1)-2³
2) 16 + 1 =17
2*3*17-2³
3) 2³ = 8
2*3*17-8'
4) 2*3=6
6*17-8
5) 6*17=102
102-8
6)simplify
94
