Sam traveled 7.5 kilometers from his house to reach the highway. On the highway, he travels at an average speed of 55 kilometers per hour. Which equation can be solved to find t, the time in hours Sam travels on the highway to reach a farm 22 kilometers away from his house?

0.2636 hrs

Step-by-step explanation:

Number of kilometers from Sam's house to highway = 7.5 km

Average speed traveled on highway = 55km/hr

Which equation can be solved to find t, the time in hours Sam travels on the highway to reach a farm 22 kilometers away from his house?

Time traveled (t) to reach a farm 22 kilometers from his house :

t = time in hours Sam travels on the high way:

Distance from highway to farm = (Distance of farm from Sam's house - distance from Sam's house to highway)

22km - 7.5km = 14.5km

Speed of travel on highway = 55kmph

Travel time = distance / speed

Travel time = 14.5km / 55km/hr

Travel time = 0.2636 hrs

1. 22

2. 1

3. 7

4. 18

step-by-step explanation

e2020 got it right

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!