Since you didn't provide the expressions, let X denote the prize money for the first position. Consequently, the amount for the second position would be X - 50, since <span>each place below first receives $50 less than the previous place. The amount for third place would then be X - 100.
Thus, the total prize money can be calculated by summing these amounts: X + (X - 50) + (X - 100) = 3X - 150.</span>
Answer:
The solutions are (-√6,0) and (√6,0)
(-√5,-1) and (√5,-1)
Step-by-step explanation:
We start with the equations:

and

Rearranging the second equation to make y the subject results in;

Substituting into the first equation gives us:


and 
The solutions remain as (-√6,0) and (√6,0)
(-√5,-1) and (√5,-1)
Answer: 
Step-by-step explanation:
The volume of a cylinder is calculated using the formula:

In which "r" represents the radius and "h" is the height.
Convert inches to feet. Given that
, the result is:

Therefore, you can determine:

After substituting these values into the formula and simplifying, the result is:

Consequently, the equation representing the volume of L feet of drainage tubing, in cubic feet, is:

Sari's claim is incorrect because dividing 120.78 by 9.9 equals approximately 12.2, and since 12 is less than 12.2, her estimate is not actually greater than the true result.
First note the ratio is
7:2 so divide 7 by 2 to get 7/2 = 3.5. Then add 3.5 to 2, yielding the result 5.5