One week you spent $24 on 6 subway tickets and 4 express bus tickets. the next week you spent $27 on 3 subway tickets and 7 express bus tickets. how much will it cost you to buy 5 subway tickets and 2 express bus tickets this week

It will cost $16 to buy  5 subway tickets and 2 express bus tickets this week.

Step-by-step explanation:

Hi, to answeer this question we have to write a system of equations with the information given:

6x + 4y =24

3x + 7y =27

Where :

x = price of a subway ticket

y = price of a express bus ticket

Solving by substitution:

6x + 4y =24

6x = 24 -4y

x = (24 -4y)/6

x = 4 -2/3 y

Replacing the value of "x" in the other equation:

3x + 7y =27

3 ( 4 -2/3 y) + 7y =27

12 - 2y +7y =27

-2y + 7y =27 -12

5y = 15

y = 3

Finally, replacing the valu of "y" in the first equation:

6x + 4y =24

6x + 4 (3) =24

6x +12 =24

6x = 24-12

6x = 12

x = 12/6 = 2

So, the values of the individual tickets are:

x = price of a subway ticket = $2

y = price of a express bus ticket =$3

how much will it cost you to buy 5 subway tickets and 2 express bus tickets this week?

To answer this part we simply have to multiply the number of each tickets by its price, and add the results.

5 ($2) + 2 ($3) = $10 + $6 = $16

answer: e 9, 5.75

step-by-step explanation:

step 1

find the variation ab in the x coordinate

delta x=(x2-x1)=10-> 8 units

find the variation ab  in the y coordinate 

delta y=(y2-y1)=6-> 2 units

step 2

find the coordinates point c

  x coordinate 

cx=ax+delta x*2/> cx=2+8*(2/> cx=3

  y coordinate 

cy=ay+delta y*2/> cy=4+2*(2/> cy=4.25

the coordinates of point c are (3,4.25)

step 3

find the coordinates point d

  x  coordinate 

dx=ax+delta x*4/> dx=2+8*(4/> dx=4

  y  coordinate 

dy=ay+delta y*4/> dy=4+2*(4/> dy=4.5

the coordinates of point d are (4, 4.5)

step 4

find the coordinates point e

  x  coordinate 

ex=ax+delta x*4/> ex=2+8*(6/> ex=5

  y  coordinate 

ey=ay+delta y*4/> ey=4+2*(6/> ey=4.75

the coordinates of point e are (5, 4.75)

step 5

find the coordinates point f

  x  coordinate 

fx=ax+delta x*4/> fx=2+8*(8/> fx=6

  y  coordinate 

fy=ay+delta y*4/> fy=4+2*(8/> fy=5

the coordinates of point f are (6,5)

step 6

find the coordinates point g

  x  coordinate 

gx=ax+delta x*4/> gx=2+8*(10/> gx=7

  y  coordinate 

gy=ay+delta y*4/> gy=4+2*(10/> gy=5.25

the coordinates of point g are (7,5.25)

step 7

find the coordinates point h

  x  coordinate 

hx=ax+delta x*4/> hx=2+8*(12/> hx=8

  y  coordinate 

hy=ay+delta y*4/> hy=4+2*(12/> hy=5.5

the coordinates of point h are (8,5.5)

step 8

find the coordinates point i

  x  coordinate 

ix=ax+delta x*4/> ix=2+8*(14/> ix=9

  y  coordinate 

iy=ay+delta y*4/> iy=4+2*(14/> iy=5.75

the coordinates of point i are (9,5.75)

- r3ktforgood ☕

central angle of a triangle has the same measure as its intercepted arc.

step-by-step explanation: