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.
8-2(3x+5)=0
8(-6x-10)=0
-48x-80=0
-48x=80
x= -8/5 or -1.6
Answer:
$20
Step-by-step explanation:
15/3=5 which means that for every guest attending Carla's retirement party it must cost her $5 each.
Therefore if 4 guests come to the party it must mean 4(5) which is 20.
Hence $20
To find the time in which all the bells ring together, we need to find the LCM of 36,40,48.
Prime factorization of 36=2×2×3×3
Prime factorization of 40=2×2×2×5
Prime factorization of 48=2×2×2×2×3
Hence, LCM of 36,40,48=2×2×2×2×3×3×5=720 seconds.
720seconds=
60
720
minutes=12minutes
Hence, all the bells will ring together after 12 mi
Answer:
72
Step-by-step explanation:
This is assuming the following:
1) fork boxes comes with 12 count.
2) spoon boxes comes in 18 count.
3) knife boxes comes in 24 count.
Find the least common factor:
12: 12, 24, 36, 48, 60, 72
18: 18, 36, 54, 72
24: 24, 48, 72
72 is the least common factor shared by all these numbers.
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