Answer:
50 days
Step-by-step explanation:
Step one:'
given data
Non member must pay a 6$ per day
let number of days be x
cost = 6x
member of the club pay 1$ but must pay a yearly membership fee of 250
cost = 250+x
Step two
equate the two expression to find x
6x=250+x
6x-x= 250
5x=250
divide both sides by 5
x= 250/5
x=50 days
Answer:
13 y^2 - 9 x y + 3 x^2
Step-by-step explanation:
Simplify the following:
6 x^2 - 7 x y + 8 y^2 - (x^2 - 3 x y - y^2) - (2 x^2 + 5 x y - 4 y^2)
-(x^2 - 3 x y - y^2) = -x^2 + 3 x y + y^2:
6 x^2 - 7 x y + 8 y^2 + -x^2 + 3 x y + y^2 - (2 x^2 + 5 x y - 4 y^2)
-(2 x^2 + 5 x y - 4 y^2) = -2 x^2 - 5 x y + 4 y^2:
6 x^2 - 7 x y + 8 y^2 - x^2 + 3 x y + y^2 + -2 x^2 - 5 x y + 4 y^2
Grouping like terms, 6 x^2 - 7 x y + 8 y^2 - x^2 + 3 x y + y^2 - 2 x^2 - 5 x y + 4 y^2 = (8 y^2 + y^2 + 4 y^2) + (-7 x y + 3 x y - 5 x y) + (6 x^2 - x^2 - 2 x^2):
(8 y^2 + y^2 + 4 y^2) + (-7 x y + 3 x y - 5 x y) + (6 x^2 - x^2 - 2 x^2)
8 y^2 + y^2 + 4 y^2 = 13 y^2:
13 y^2 + (-7 x y + 3 x y - 5 x y) + (6 x^2 - x^2 - 2 x^2)
x y (-7) + x y 3 + x y (-5) = -9 x y:
13 y^2 + -9 x y + (6 x^2 - x^2 - 2 x^2)
6 x^2 - x^2 - 2 x^2 = 3 x^2:
Answer: 13 y^2 - 9 x y + 3 x^2
Answer:
It would take Samantha 6 hours to drive 105 miles.
Step-by-step explanation:
This question can be solved by proportions.
After 4 hours she had traveled 70 miles.
This means that she travels 70/4 = 17.5 miles per hour.
How many hours would it take Samantha to drive 105 miles?
17.5 miles per hour, so for 105 miles:
105/17.5 = 6
It would take Samantha 6 hours to drive 105 miles.
Answer:
Option (1)
Step-by-step explanation:
Surface area of a cylindrical vessel is given by the expression,
Surface area =
=
Here, r = Radius of the vessel
h = Length of the vessel
By substituting the values of 'h' and surface area in the expression,
2πr(12 + h) = 540
Therefore, Option (1) will be the correct option.
This line is in standard form, and the first thing we need to do is convert it into point - slope form or simply isolate y -
2x + 3y = 11, Subtract 2x from either side
3y = - 2x + 11, Divide either side by 3
y = ( - 2x + 11 ) / 3
To derive the parametric equation say x = t -
y = ( - 2t + 11 ) / 3,
or in other words
<u><em>Solution = y = ( 11 - 2t ) / 3</em></u>