Solution:
The square of the given equation can be completed as below:
Here we will make the terms on left hand side such that it gets the form of 
Hence the correct option is isolating the constant , -3.
In order to solve this, you have to set up a systems of linear equations.
Let's say that children = c and adults = a
30a + 12c = 19,080
a + c = 960
I'm going to show you how to solve this system of linear equations by substitution, the easiest way to solve in my opinion.
a + c = 960
- c - c
---------------------- ⇒ Step 1: Solve for either a or c in either equation.
a = 960 - c
20(960 - c)+ 12c = 19,080
19,200 - 20c + 12c = 19,080
19,200 - 8c = 19,080
- 19,200 - 19,200
---------------------------------- ⇒ Step 2: Substitute in the value you got for a or c
8c = -120 into the opposite equation.
------ ---------
8 8
c = -15
30a + 12(-15) = 19,080
30a - 180 = 19,080
+ 180 + 180
-------------------------------
30a = 19,260
------- -----------
30 30
a = 642
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I just realized that there can't be a negative amount of children, so I'm sorry if these results are all wrong.
Scale factor is equal to 1/2, since the point went from 10 to 5
Answer:
1/100.
Step-by-step explanation:
So, we can make the following deductions from the information given in the question or problem above.
[1]. "You and your neighbor attempt to use your cordless phones at the same time."
DEDUCTION: Two people are involved, that is you and your neighbor are both involved.
[2]. "Your phones independently select one of ten channels at random to connect to the base unit. "
DEDUCTION: Both cordless phones can choose one channels each which is random. The number of channels available is ten.
Therefore, the probability that both your phone and your neighbor phone pick the same channel can be calculated or determined as follows:
The probability that both your phone and your neighbor phone pick the same channel = probability that both your phone will pick one channel out of the ten channels × the probability that your neighbor phone pick one channel out of the ten channels.
The probability that both your phone and your neighbor phone pick the same channel = 1/10 × 1/10 = 1/100.
Therefore, The probability that both your phone and your neighbor phone pick the same channel = 1/100.
<span>If the part needs to be 5.72 inches long, with a tolerance of 0,02 inches (I cannot read the symbol before 0.02, so will assume it's meant to be +/-), the part length must be in the range 5.70 to 5.74. If the part is now 5.85 inches, the most it can be shortened by is 0.15 inches.</span>
