PLS HELP NEED ASAP FULL WORK

Mathematics

1 answer:

Phantasy [73]3 years ago

4 0

Answer:

Cost paid daily when using the motorcycle: $37,

Cost paid for each kilometer driven in the motorcycle: $ 0.23

Step-by-step explanation:

~ Let us first formulate the equations, provided x ⇒ cost paid daily when using the motorcycle, and y ⇒ cost paid for each kilometer driven in the motorcycle ~

8x + 650y = 445.5, and 12x + 920y = 655.6

Now let us solve this equation through elimination, by multiplying the first equation by 3, and the second by -2:

3 ( 8x + 650y = 445.5 ) ⇒ 24x + 1950y = 1336.5 ⇒ 110y = 25.3

+ -2 ( 12x + 920y = 655.6 ) + -24x - 1840y = - 1311.2 y = 0.23

Now we can substitute this value of y into the first equation as to solve for x: 8x + 650 ( 0.23 ) = 445.5, 8x = 296, x = 37

* Cost paid daily when using the motorcycle: $37,

Cost paid for each kilometer driven in the motorcycle: $ 0.23 *

You might be interested in

∆ABC is reflected across the x-axis, then rotated 90° clockwise about the origin, and finally reflected across the line y = x to

torisob [31]

Answer:

Step-by-step explanation:

Notice that the vertices are A(1,1), B(2,3) and C(2,1).

A reflection across the x-axis give the coordinates A'(1,-1), B'(2,-3) and C'(2,-1). Then, we apply the rotation 90° clockwise about the origin A'(1,1), B'(3, 2) and C'(1, 2).

Finally, a reflection across the line y = x, gives A'(1,1), B'(2,3) and C'(2,1)

Therefore, the coordinates of the image are A'(1,1), B'(2,3) and C'(2,1).