Which is greater -8 or -4
2 answers:
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Answer:
C
Step-by-step explanation:
We have the system of equations:
And an ordered pair (10, 5).
In order for an ordered pair to satisfy any system of equations, the ordered pair must satisfy both equations.
So, we can eliminate choices A and B. Satisfying only one of the equations does not satisfy the system of equations.
Let’s test the ordered pair. Substituting the values into the first equation, we acquire:
Evaluate:
Evaluate:
So, our ordered pair satisfies the first equation.
Now, we must test it for the second equation. Substituting gives:
Evaluate:
So, the ordered pair does not satisfy the second equation.
Since it does not satisfy both of the equations, the ordered pair is not a solution to the system because it makes at least one of the equations false.
Therefore, our answer is C.
For this question, we want to find out the greatest amount of area of pizza for the least amount of money:
So we have two pizzas with a 10 in. diameter. Let us take one of those pizzas.
The formula for area of a circle is
; So the area for one of these 10 in. pizzas would be 
or 25
.
We have two of these pizzas, so the total area that we would get with $14 would be 25*2 or 50.
For the second case, we have one pizza with a 14 in. diameter.
The area of this pizza will be
or 49.
So for $15 we can buy 49 worth of pizza.
The best deal would be to buy the two medium pizzas of 10 inch diameter, because for $14, you get 50.
So we have two pizzas with a 10 in. diameter. Let us take one of those pizzas.
The formula for area of a circle is
We have two of these pizzas, so the total area that we would get with $14 would be 25
For the second case, we have one pizza with a 14 in. diameter.
The area of this pizza will be
So for $15 we can buy 49
The best deal would be to buy the two medium pizzas of 10 inch diameter, because for $14, you get 50