Answer:
A. $6.67
Step-by-step explanation:
a) 2y -3x + 8
a) y = - 3/2x + 8/2
a) y = - 3/2x + 4
b) 5y - 15x = -30
b) 5y = 15x - 30
b) y = 15/5x - 30/5
b) y = 3x - 6
3x - 6 = 3/2x + 4
3x -3/2x = 4+6
3/2x = 10
x = (10) / (3/2) = $6.67
Answer:
You don't have any numbers in the question so this isn't possible to be answered. Feel free to add the numbers under this comment, if you still need help.
You need to solve for x or y in one equation and and substitute it into the other equation in place of the variable that corresponds to it.
Well, because it is two years, 50x2 is 100 so 1000+100=1100
Then, you would do .25x1000 which is 2.5. That would mean you get 2.5 dollars back every month.
Therefore, your answer is...
C. $1161.76
X + y is the number of students who were surveyed.
x is the number who own a bike.
y is the number who don't.
the ratio of the ones who own a bike and the ones who were surveyed is x / (x + y)
that ratio is 7/8.
you get x / (x + y) = 7/8
multiply both sides of this equation by (x + y) to get x = (x + y) * 7/8
simplify to get x = 7/8 * x + 7/8 * y
subtract 7/8 * x from both sides of this equation to get:
1/8 * x = 7/8 * y
solve for x to get x = 7 * y
this means that the number of students who own a bike is 7 times the number of students who don't.
divide both sides of that equation by y to get x/y = 7/1.
that means that the ratio of students who own a bike to the number of students who don't is equal to 7/1.
the problem states that the difference between the number who own a bike and the number who don't is 72.
this means that x - y = 72
from the equation of x = 7 * y, replace x with 7 * y in the equation of x - y = 72 to get:
7 * y - y = 72
simplify to get 6 * y = 72
divide both sides of that equation by 6 to get y = 72/6 = 12
this means that the number of students who do not own a bike is 12.
since x = 7 * y, then x = 7 * 12 = 84.
this means that the number of students who own a bike is 84.
since the number of students is x + y, this means that the number of students who were surveyed is 84 + 12 = 96.
let's see if this is right.
96 students were surveyed.
84 own a bike and 12 don't.
the difference between the ones who own a bike and the ones who don't is 84 - 12 = 72.
the ratio of the ones who own a bike and the number surveyed is 84/96 = 7/8.
solution is 96 students were surveyed.
