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
The equation is:

And
Total number of pages are 351
Step-by-step explanation:
The equation has to be formed by using the given information.
Let p be the total number of pages in the novel
Then
1/3rd of the p will pe:

Total pages read by John = 114
Then according to the statement

We can solve the equation to get the total pages of the novel

The equation is:

And
Total number of pages are 351
Keywords: Linear equation, variable
Learn more about linear variable at:
#LearnwithBrainly
Answer:
center = 98.6, variability = 0.08
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a random variable X, with mean
and standard deviation
, the sample means with size n of at least 30 can be approximated to a normal distribution with mean
and standard deviation 
The center is the mean.
So 
The standard deviation of the sample of 50 adults is the variability, so

So the correct answer is:
center = 98.6, variability = 0.08
Ok
first of all, for q(x)/p(x)
if the degree of q(x) is less than the degree of p(x),then the horizontal assemtote is 0
then simplify
any factors you factored out is now a hole, remember them
to find the vertical assemtotes of a function, set the SIMPLIFIED denomenator equal to 0 and solve
so
y=(x-5)/(x^2-1)
q(x)<p(x)
horizontal assemtote is y=0
no factors to simplify so no holes
set denomenator to 0 to find vertical assemtote
x^2-1=0
(x-1)(x+1)=0
x-1=0
x=1
x+1=0
x=-1
the horizontal assemtotes are x=1 and -1
Answer:
274560
Step-by-step explanation:
We can "choose" one of the 66 athletes for the gold medal. That athlete can't win any other medals, so there are 65 athletes left.
We can then "choose" one of the 65 athletes left for the silver medal. That athlete can't win any other medals, so there are 64 athletes left.
We can then "choose" one of the 64 athletes left for the bronze medal.
That leaves us with 66 possible choices * 65 possible choices * 64 possible choices=274560 possible choices