Floyd is an aspiring music artist. He has a record contract that pays him a base rate of \$200 per month and an additional $12 for each album he sells. Last month he earned a total of $644.

Write an equation to determine the number of albums (a). Floyd sold last month.

(644 - 200) / 12 = x

Step-by-step explanation:

To find the number of albums Floyd sold, first, subtract $200 dollars (the base rate) from his total profit of $644. This gives you a result of $444. Then, divide $444 by $12 (the amount made per album sold) to get a result of 37 albums sold. The equation for this is (644 - 200) / 12 = x.

something that characterises a right triangle is the fact that we may use pythagoras' theorem to find any one of its sides given that we have the length of the other two sides. here, we have the length of the hypotenuse, √(87) yd, and one other side, √(23) yd, thus we can easily find the length of the remaining side using pythagoras' theorem as defined below:

c^2 = a^2 + b^2, where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

thus, given that c = √(87) and a = √(23), we may substitute these into the formula we defined above to get:

c^2 = a^2 + b^2

(√87)^2 = (√23)^2 + b^2 (substitute c = √87 and a = √23 into the equation)

87 = 23 + b^2 (evaluate (√87)^2 = 87 and (√23)^2 = 23 - remember that the square root of a number, squared will equal that very same number)

64 = b^2 (subtract 23 from both sides)

√64 = b (take the square root of both sides)

8 = b (evaluate √64 = 8)

therefor, the length of the unknown leg in the right triangle is 8 yd (first answer).

the answer is 24

step-by-step explanation: