The correct answer to this question would be answer choice B.
To convert the decimal 0.56 to a fraction, first set it to a fraction over 100 which would be 56/100.
Then, because the question asks for the fraction to be in simplest form, look for the greatest common factor of the numerator and denominator or 56 and 100.
To find it, list out all of their factors:
56: 1, 2, 4, 7, 8 , 14, 28, 56
100: 1, 2, 4, 5, 10,20,25,50,100
Notice that out of all the factors listed, the greatest common factor listed is 4. Because of this, divide both the numerator and denominator by 4 to simplify your fraction to your answer: 14/25
Find the ticket unit cost: divide the total paid, $324, by the number of tickets, x. Then the form of the unit cost is
$324
--------- .
x
This question is highly unusual in that you write "x" as the number of tickets sold, instead of a specific number of tickets. Supposing that you'd sold 100 tickets for $324, then the unit cost would be, much more typically, a numeric ratio:
$324
----------------- = $3.24/ticket
100 tickets
Answer:
x + y = 125
3.50x + 2.25y = 347.50
53 rolls
Step-by-step explanation:
System of equations
so basically if we say that rolls are represented by x and wrapping paper is represented by y, we can say x plus y is 125 because there are a total of 125 rolls and packages. if each roll is 3.50 and each package is 2.25, we can just put each number in front of the corresponding variable to show that each one is worth that amount, and they total to 347.50. then you have to solve the system of equations. so if you solve for x in the first equation, x = 125 - y. so plug that in to the next equation, 3.50(125 - y) + 2.25y = 347.50. solve for y and you get 72.
but y is the number of packages, and we want the number of rolls. there are 125 rolls and packages, so 125 minus the 72 packages and you get 53 rolls
Answer:
dy/dx = 9x²+2
dy = (9x²+2) dx
dy/dt = (9x²+2) dx/dt
if x = 2 and dx/dt=5 then
dy/dt = (9*2²+2)*5 = 38*5 = 190
