Tristan rode his bike 3 2/3 miles on saturday. he rode 1 4/5 miles on sunday. how many more miles did he ride on saturday than on sunday?

answer choices-
a. 13/15 mile
b. 1 3/5 miles
c. 1 13/15 miles
d. 2 13/15

answer quickly. this is due tomorrow and explain how you did it because i need to show my work.

C; 1 13/15 miles

Step-by-step explanation:

The question asks how many more miles did Tristan ride on Saturday than on Sunday.

On Saturday he rode 3 2/3 miles.

On Sunday he rode 1 4/5 miles.

3 2/3 can be converted to 3 10/15 (so you can subtract w/ common denominators) and 1 4/5 can be converted to 1 12/15.

Since the numerator for the amount of miles Tristan rode on Sunday is greater than the numerator for the amount of miles Tristan rode on Saturday, you can convert both common denominators to improper fractions.

3 10/15 becomes 55/15 and 1 12/15 becomes 27/15, subtract these two.

55/15 - 27/15 is 28/15.

28/15 as a mixed number is 1 13/15; answer choice C.

answer: 2x + 2 − 2 = 10 − 2; subtraction property of equality

step-by-step explanation:

a.   we have two

lines:   y = 4-x   and  

y = 8-x^-1

given two simultaneous equations that are both to be

true, then the solution is the points where the lines cross. the intersection is

where the two equations are equal. therefore the solution that works for both

equations is when

4-x = 8-x^-1

this is where the two lines will cross and that is the

common point that satisfies both equations.

b.   4-x = 8-x^-1

  x           4-x       8-x^-1

-3           7        

8.33

-2           6         8.5

-1           5         9

  0           4        

-

  1           3        

7

  2           2        

7.5

  3           1         7.67

the table shows that none of the x values from -3 to 3 is

the solution because in no case does

4-x = 8-x^-1

to find the solution we need to rearrange the equation to

find for x:

4-x = 8-x^-1

multiply both sides with x:

4x-x^2 = 8x-1

x^2+4x-1=0

x= -4.236, 0.236

therefore there are two points that satisfies the

equation.

find y:  

x=-4.236

y = 4-x   = 4 – (-4.236)

= 8.236

y = 8-x^-1 =   .236)^-1

= 8.236

x=0.236

  y = 4-x   = 4 – (0.236) = 3.764

y = 8-x^-1 =   8-(0.236)^-1

= 3.764

thus the two lines cross at 2 points:

(-4.236, 8.236) & (0.236, 3.764)

c.   to solve

graphically the equation 4-x = 8-x^-1

we would graph both lines: y = 4-x   and   y

= 8-x^-1

the point on the graph where the lines cross is the

solution to the system of equations.

just graph the points on part b on a cartesian coordinate

system and extend the two lines.   the

solution is, as stated, the point where the two lines cross on the graph.

step-by-step explanation:

mark brainliest!