The ratio of the trout with tags that are caught and the total trout with tags is first calculated.
r = 12 trout / 180 trout = 1/15
Then, we divide the number of trouts caught without tag by the value obtained above.
N = (48 - 12) / (1/15) = 540
Then, we add the number obtained above and 180.
T = 540 + 180 = 720
ANSWER: 720
Answer:
-1.0 and 1
Step-by-step explanation:
Answer:
4 cm
Step-by-step explanation:
The equation of a parabola with its vertex at the origin can be written as ...
y = 1/(4p)x^2
The problem statement tells us that one point on the parabola is (x, y) = (12, 9). We can put these values into the equation and solve for p, the distance from the focus to the vertex.
9 = 1/(4p)(12^2)
9×4/144 = 1/p = 1/4 . . . . . . . . multiply by the inverse of the coefficient of 1/p
Then p = 4, and the bulb is 4 cm from the vertex.
Answer:

Step-by-step explanation:

The fractions above are known as mixed numbers (that is, fractions that contain the combination of a whole number and proper fraction). The mixed numbers can equally be renamed as improper fractions. However, renaming can only occur the the mixed numbers are being transformed as below:

The transformation occur through a simple approach thus: for the first mixed number; 2 1/3 = 2 multiplied by 3 plus 1 divide by 3 equals 7/3. Similarly, mixed number 1 3/4 is transformed by this: 1 multiplied by 4 plus 3 divide by 4 equals 7/4.
Simplifying further to arrive at final result implies,

Take the LCM of the denominators (4 × 3 =12) and simplify thus:

