Answer:
x = -1/3
x = 1
Step-by-step explanation:
Answer:
Ratio of blue fish in the small tank to the red fish in large tank is 10 : 6279
Step-by-step explanation:
Let the number of red fish and blue fish in the large tank are x and y respectively.
Similarly ratio of red fish and blue fish in the small tank are x' and y' respectively.
Since in each tank ratio of the red fish to blue fish is 333 : 444
That means x : y = 333 : 444
Or 
⇒ 
⇒ y =
--------(1)
Similarly x' : y' = 333 : 444
⇒ 
⇒ 
⇒ x' =
------(2)
Ratio of the fish in large tank to the fish in small tank is 464646 : 555
So (x + y) : (x' + y') = 464646 : 555

Now we replace the values of x and y' from equation (1) and equation (2)







Therefore, ratio of blue fish in the small tank to the red fish in large tank is 10 : 6279
Answer:
x - 5y = 22
Step-by-step explanation:
Step 1: rewrite the equation of the given line in to slope-intercept form by solving for y
x = 5y - 9
-5y = -x - 9 (subtract 5y and x from both sides)
y = x/5 + 9/5 (divide both side by -5)
Step 2: Our line is parallel to this line, so it has the same slope, but a different y-intercept, so set up the equation...
y = x/5 + b
We are given a point (x, y) of (2, -4), so plug that in and solve for b.
-4 = 2/5 + b
-4 - 2/5 = b (subtract 2/5 from both sides to isolate b)
-20/5 - 2/5 = b
-22/5 = b (simplify)
So the equation of our line is y = x/5 - 22/5
Step 3: Standard form is ax + by = c, where a is a positive integer
subtract x/5 from both sides...
-x/5 + y = - 22/5
multiply by -5 so x becomes a positive integer
x - 5y = 22
For question 38 it would be C. -38 because -38 - 7 is -45 and -45 divided by 9 is -5.
Question 35 would be B. 4/5 because 80% converted into a decimal is 4/5.
Hope these helped!! :)
Answer:
x ≈ 1051.368672
Step-by-step explanation for #3:
<em>Use tangent function because it relates to the opposite and adjacent sides of the triangle.</em>
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x ≈ 1051.368672
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