Answer:
s inversely proportional 1/t
s=0.3, t=8
s=k/t
0.3=k/8
k=0.3×8
k=2.4
find s when t=0.4
s=2.4/0.4
s=6.0 or 6
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Answer:
(x, y, z) = (1/3, 2/3, 1)
Step-by-step explanation:
We can use the first equation to write an expression for x that can be substituted into the other equations.
x = 1 -y
2(1 -y) -y +z = 1 ⇒ -3y +z = -1
(1 -y) +2y +z = 8/3 ⇒ y +z = 5/3
Subtracting the first of these equations from the second gives ...
(y +z) -(-3y +z) = (5/3) -(-1)
4y = 8/3
y = 2/3
z = 5/3 -y = 1
x = 1 -y = 1/3
The solution is (x, y, z) = (1/3, 2/3, 1).
Answer:
The business' total revenue last year was $65,000.
Step-by-step explanation:
So, if you need to find the previous year's total revenue, you would set up an equation like this:
x + 0.38x = 89,700
I think it would work out something like this:
x + 0.38x = 89,700
1.38x = 89,700
x = 65,000
To check, we would substitute 65,000 into the equation x + 0.38x = 89,700.
x + 0.38x = 89,700
(65,000) + 0.38(65,000) = 89,700
65,000 + 24,700 = 89,700
89,700 = 89,700
Answer:
-0.1, 0, 0.8, 1.2, 1.6
Step-by-step explanation: