When two variables are inversely proportional the relation between them can be written as:

Here, k is the constant of proportionality and is always equal to the product of the two variables. So using the given values of z and x, we can find k first.

The constant of proportionality for the given inverse proportion comes out to be 2. Using the value of k in the equation, we get:

We have to find the value of z when x=28. So replacing x by 28, we get:

Thus, rounding of to nearest thousand the value of z comes out to be 0.071 if x is equal to 28.
Answer: B or D
Step-by-step explanation:
Karens ration is 5:15 whilst chens is 6:19
1/3 of 15 is gonna be 5, while 19 is gonna be around 6.3
I got 1/3 cause there is 3 colors, and red is one of them, since the question is asking about the total. I would be leaning more towards B though.
Answer:
x = -2 or x = -6 or x = sqrt(5) or x = -sqrt(5)
Step-by-step explanation:
Solve for x:
x^4 + 8 x^3 + 7 x^2 - 40 x - 60 = 0
The left hand side factors into a product with three terms:
(x + 2) (x + 6) (x^2 - 5) = 0
Split into three equations:
x + 2 = 0 or x + 6 = 0 or x^2 - 5 = 0
Subtract 2 from both sides:
x = -2 or x + 6 = 0 or x^2 - 5 = 0
Subtract 6 from both sides:
x = -2 or x = -6 or x^2 - 5 = 0
Add 5 to both sides:
x = -2 or x = -6 or x^2 = 5
Take the square root of both sides:
Answer: x = -2 or x = -6 or x = sqrt(5) or x = -sqrt(5)
Answer:
23
Step-by-step explanation:
The given two triangles are congruent , by SSS congruence condition , therefore the corresponding sides will be equal .
=> x - 4 = 19
=> x = 19 + 4
=> x = 23