Answer:
23 males and 12 females
Step-by-step explanation:
x = # of females
y = # of males
x + y = 35
x + x + 11 = 35
2x + 11 =35 (SUBTRACT 11 FROM BOTH SIDES)
2x = 24 (DIVIDE BOTH SIDES BY 2)
x = 12 females
x + y =35
12 + y = 35 (SUBTRACT 12 FROM BOTH SIDES)
y = 23 males
23 males + 12 females = 35 students
-$11,000 is the economic profit or we can say it is a loss.
The job paid Bob = $100000
The insurance cost is = $8,000
The material cost is = $15,000
The lease payments are = $8,000
The sales revenue is $120,000.
So, Bob's economic profit is:
Therefore, his economic profit is -$11000.
45 cm
Let x represent the length of the longer leg. Then the hypotenuse is x+8 and the shorter leg is x-17. The Pythagorean theorem gives the relation between these values as ...
(x +8)^2 = x^2 +(x -17)^2
x^2 +16x +64 = 2x^2 -34x +289 . . . . eliminate parentheses
0 = x^2 -50x +225 . . . . . put in standard form
0 = (x -45)(x -5) . . . . . . . . factor
Solutions to this equation are x=5 and x=45. The value of x must be greater than 17, so the useful solution is x=45.
The length of the longer leg of the triangle is 45 cm.
If $657 is 27% off, then $657 = 100-27% or 73%.
So you want to know what's 100%. So you use a ratio. 100/73 * $657. Which equals $900.
Requires approximately 129 buckets
Volume of the tank=200x77x32
Volume of the paint bucket = π x h= π x 8 x 8 x 19
(200x77x32) ÷( π x 8 x 8 x 19)= 492800/3,820.177=128.999