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Answer:
Hoang has been at the hospital for 12 years while Bill has worked for 7 years.
Step-by-step explanation:
Let the years Hoang has worked as a nurse equal h and let the years Bill has worked as a nurse equal b.
Since Hoang has worked 5 years longer, h is five more than b:
h = b + 5
Now we move onto the situation 2 years ago. 2 years ago, Hoang had worked at the hospital two less than h or h-2 years while Bill has worked for b-2 which is two years less than b. We are also told that at the time, Hoang worked twice as longs, so
h - 2 = 2(b - 2)
This can be simplified:
h - 2 = 2b - 4
h = 2b - 2
We can use substitution. Since h = b + 5 and h = 2b - 2,
b + 5 = 2b - 2
b = 7
Therefore, since Hoang has worked five more years, h = 12. So, Hoang has been at the hospital for 12 years while Bill has worked for 7 years.
Immigration-Noun
Stereotypes-Noun
Refugee-Noun
Emigration-Noun
Deportation -Noun
Assimilation-Noun
Naturalization-Noun
Ellis island-Noun
Statue of Liberty Noun
Answer:
7.45
Step-by-step explanation:
Answer:
A.
Step-by-step explanation:
Both equations are solved for y so I'm just going to substitute
the 1st y (the 2x+4) into the second equation's y.
I'm going to get everything on one side so I have 0=ax^2+bx+c.
Subtract 2x and subtract 4 on both sides:
Since the coefficient of x^2 is 1, all we have to do is find two numbers that multiply to be -6 and add up to be -1.
These numbers are -3 and 2.
So the factored form of our equation is:
This means we have x-3=0 or x+2=0.
x-3=0
Add 3 on both sides:
x=3
x+2=0
Subtract 2 on both sides:
x=-2
So now we need to find y. I'm going to choose to use the easier equation:
y=2x+4.
If x=3, then y=2(3)+4=6+4=10. The ordered pair (3,10) is a solution.
If x=-2, then y=2(-2)+4=-4+4=0. The orded pair (-2,0) is a solution.
