constraint 1
let
x = number of cups of chocolate
y = number of cups of vanilla
The equation that represents the total number of ice cream is:
x + y = 24
constraint 2
the ratio of the number of chocolate cups to vanilla cups is
y = (1/2) x
Using equations 1 and 2, you can find the number of cups of each favor required.
answer:
x + y = 24
y = (1/2) x
Answer:
C. -4a + 22b
Step-by-step explanation:
12a + 26b -4b – 16a
= 12a – 16a + 26b – 4b
= -4a + 22b
By the Fundamental Theorem of Arithmetic, all number can be expressed as a product of prime numbers.
So naturally, lets divide 120 by an easy prime number.
We know that 120 is even, so lets try 2
120/2 = 60
lets keep dividing it by two until it becomes odd or prime
60/2 = 30
30/2 = 15
now lets see, what are some factors of 15?
Well the obvious ones are 3 and 5, both of which are prime. So now we can just count up how many times we divided it by 2
120/2 = 60
60/2 = 30
30/2 = 15
and 15 is just 3 x 5, so:
<span>
120=(<span>23</span>)×(3)×(5)</span>
or
<span><span>
120 = 2 × 2 × 2 × 3 × 5</span></span>
