Inverse variation means y=k/x (direct variation is y=kx) so we can use the info given to find the constant k
y=k/x
6=k/900
k=6(900)
k=5400 so the equation is:
y=5400/x or more accurately for this problem
t(v)=5400/v then:
t(800)=5400/800
t(800)=6.75 hours
State C spent $28.3 million and State D spent $26.3 million.
Step-by-step explanation:
Total spent for tourism = $54.6 million
Let,
The amount spent by State C = x
The amount spent by State D = y
According to given statement;
x+y = 54.6 Eqn 1
x=y+2 Eqn 2
Putting value of x from Eqn 2 in Eqn 1

Dividing both sides by 2

Putting y=26.3 in Eqn 2

State C spent $28.3 million and State D spent $26.3 million.
Keywords: linear equations, substitution method
Learn more about linear equations at:
#LearnwithBrainly
Answer:
x - 
Step-by-step explanation:
A polynomial has the form
first term is the term of highest degree followed by term of second etc.
note that x =
← degree 1
x -
fits this description and is a polynomial of degree 1
Let same number of hours = x,
since the salary earned is also the same, then
Salary of supervisor A = $25x
Salary of supervisor B = $20(30)+$30(x-30)
Equating
25x=600+30(x-30)
30x-25x=900-600
5x=300
x=60 hours
Check:
Salary of supervisor A = 25*60=1500
Salary of supervisor B = 20*30+30*(60-30)=600+900=1500, ok.
Answer:
if -5n+7<57, then n>-10.
if 6n+2<8, then n<1.
Step-by-step explanation:
-5n+7<57
1. subtract 7 from both sides:
-5n+7 -7< 57 -7
-5n<50
2. divide both sides by -5 (remember to flip the sign whenever you divide by a negative number):
-5n ÷-5<50 ÷-5
n>-10
6n+2<8
1. subtract 2 from both sides:
6n+2 -2<8 -2
6n<6
2. divide both sides by 6:
6n ÷6<6 ÷6
n<1