Andrew and ryan spend a total of $44 at a state fair. there is an entrance fee of x dollars per person, and each ride costs $3.50. if they went on the same number of rides, which equation correctly represents this relationship, where n is the number of rides? choose all that apply.
a. x + 7n = 44
b. 2(x + n) = 44
c. 2(x + 3.5n) = 44
d. x + 3.50n = 44
e. 2x + 7n = 44
f. 2x + 3.50n = 44

C. 2(x + 3.5n) = 44

E. 2x + 7n = 44

Step-by-step explanation:

Hi, to answer this question we have to write an equation that represents the situation:

So, the total money spent by the 2 friends is $44. That cost is equal to the price of the entrance fee (x) multiplied by 2 (since they are 2), plus the cost of each ride (3.50) multiplied by the number of rides (n) and also by 2 (since they are 2)

Mathematically speaking:

2(x + 3.5n) = 44

So, the correct options are  

C. 2(x + 3.5n) = 44

E. 2x + 7n = 44 (is equivalent, obtained if we apply distributive property to option C.)

d: (13,-1)

step-by-step explanation:

we know the starting point is (1,5)

the ending point is (x,y)   (cristians house)

the total distance is 6 units (5: 1)  

the fast food restaurant is at (11,0) and is 5/6ths of the way from the starting point to the ending point

ending minus starting point * 5/6   is how far they went

(x-1) *5/6, (y-5) * 5/6

we then need to add the starting point to determine the location

5/6(x-1) + 1, (y-5) * 5/6 + 5

this equals the fast food location of 11,0

setting the x locations equal

5/6 (x-1) +1 =11

subtracting 1 from each side

5/6 (x-1) +1-1 =11-1

5/6(x-1) =10

multiplying by 6/5 on each side

6/5*5/6(x-1) = 10*6/5

x-1 =12

add 1 to each side

x-1+1 =12+1

x=13

do the same for the y coordinate

(y-5) * 5/6 + 5 =0

subtract 5 from each side

(y-5) * 5/6 + 5-5 =0-5

5/6 (y-5) = -5

multiplying by 6/5 on each side

6/5*5/6 (y-5) = -5 *6/5

y-5 = -6

add 5 to each side

y-5+5 = -6+5

y=-1

the ending point , or the coordinates of cristians house is

(13,-1)