Answer:
The correct equation in terms of s is: 4s=260
- The number of strawberry ice cream produced per day, s=65.
- The number of chocolate ice cream produced per day ,c=130.
- The number of vanilla ice cream produced per day ,v=85.
Step-by-step explanation:
Let the number of containers of strawberry ice cream produced per day=s
Let the number of containers of vanilla ice cream produced per day=v
Let the number of containers of chocolate ice cream produced per day=c
Total Number of Ice Cream Containers=280
Given:
The factory produces twice as much chocolate ice cream as strawberry ice cream. This is written as:
The factory produces 20 more containers of vanilla ice cream than strawberry ice cream. This is written as:
Therefore substituting c=2s and v=s+20 into the first equation: s+v+c=280
s+s+20+2s=280
4s=280-20
4s=260
Divide both sides by 4
s=65
The number of strawberry ice cream produced per day is 65.
The number of chocolate ice cream produced per day =2s=2(65)=130.
The number of vanilla ice cream produced per day =s+20=65+20=85.
We have the rational expression

; to simplify it, we are going to try to find a common factor in the numerator, and, if we are luckily, that common factor will get rid of the denominator

.
Notice that in the denominator all the numbers are divisible by two, so 2 is part of our common factor; also, all the terms have the variable

, and the least exponent of that variable is 1, so

will be the other part of our common factor. Lets put the two parts of our common factor together to get

.
Now that we have our common factor, we can rewrite our numerator as follows:

We are luckily, we have

in both numerator and denominator, so we can cancel those out:


We can conclude that the simplified version of our rational function is

.
<span>The first quartile is the same as the median of the data which are less than the overall median. Same as the 25th percentile.
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I hope my answer has come to your help. God bless and have a nice day ahead!
Step-by-step explanation:
Remember that angles in the same segment are equal.
In here, AD is the segment, which means that angle ACD = angle ABD = 28°.
The answer to the question