To find : outcomes for choosing 2 bottles (without replacement) from 3 various soft drink bottles in different numbers - coke , fanta , sprite
There can be total 2 x 3 , ie = 6 outcomes in this case.
Like two alphabets from A,B,C can be chosen without replacement in following 6 cases - A B & B A , A C & C A , B C & C B
Similarly for Coke , Fanta , Sprite case ; total <u>outcomes</u><u> </u>are :-
- Coke, Fanta
- Fanta, Coke
- Coke, Sprite
- Sprite , Coke
- Fanta , Sprite
- Sprite , Fanta
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The system of inequalities that represents this situation are
x + y ≤ 40 and x ≤ 12.
Here, x = Number of carnation bouquets
y = Number of daisy bouquets
From the system of inequalities,
In the first case.
The local florist has never more than a combined total of 40 daisy bouquets, so according to this statement the following equation will be:
x + y ≤ 40.
Again in the second case.
The local florist has never more than a 12 carnation bouquets, so according to this statement the following equation will be:
x ≤ 12.
Therefore, the system of inequalities that represents this situation are
x + y ≤ 40 and x ≤ 12.
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Answer:
or one seven eighteenths
Step-by-step explanation:
we know that
12 one half times one nine is the same that multiply 12 one half by one nine
so
Convert mixed number to an improper fraction
substitute
Convert to mixed number
therefore
12 one half times one nine is one seven eighteenths
-9x-6y=15
9x-10y=145
Find y first by eliminating the x.
Add the two equations together.
-9x+9x-6y+-10y=15+145
-6y+-10y=15+145
-6y-10y=160
-16y=160
divide both sides by -16 to get +y
-16y/-16=160/-16
y=-10
Use the substitution method to find x
-9x-6y=15
-9x-6(-10)=15
Do the bracket first
-9x+60=15
Move +60 to the other side. Sign changes from +60 to -60.
-9x+60-60=15-60
-9x=-45
Divide both sides by -9
-9x/-9=-45/-9
x=5
Answer:
( 5,-10)
