Answer:
use photo math copy and paste it
Step-by-step explanation:
Set up the equation as follows:

150x represents the dog's speed, 100x represents the squirrel's speed, and 200 represents the distance the squirrel has on the dog. x is the amount of minutes that elapse.
Subtract 100x from both sides.

Divide both sides by 50.

It will take the dog 4 minutes to catch up with the squirrel.
Answer:
The three numbers are 7 8 and 9
Step-by-step explanation:
Givens
- Let the first number be n - 1
- Let the second number be n
- Let the third number = n + 1
Equation
(n - 1)(n)(n + 1) - (n-1 + n + n+1) = 480
Solution
Multiply (n - 1) and (n + 1) = (n - 1)*(n + 1) = n^2 - 1
Multiply the second integer by the result of the first and third: n (n^2 - 1)
Add the three integers together: (x - 1) + (n - 1) + n = 3n Combine these 2 steps
n(n^2 - 1) - 3n = 480 Remove the brackets
n^3 - n - 3n = 480
n^3 - 4n = 480
n^3 - 4n - 480 = 0
Graph
The graph shows that the intercept point is n =8. This is the only way I can see to solve this cubic. There are no other real roots.
Answer
n - 1 = 7
n = 8
n + 1 = 9
Check
Product 7*8*9 = 504
Sum = 7 + 8 + 9 = 24
504 - 24 = 480 Which checks.
1/2 turns into 2/4 and 2/4 + 1/4 that equals 3/4 and then 11 plus 6 equals 17 3/4
Given:

And

Required:
To find the two possible values of c.
Explanation:
Consider

So

And also given

Now from (1) and (2), we get


Now put a in (1) we get

We can interpret that either of a or b are equal to 3 or 5.
When a=3 and b=5, we have

When a=5 and b=3, we have

Final Answer:
The option D is correct.
31 and 41