On a map, a trailhead is located at (5,3) and a
turnaround point is located at (15, 6). each unit
on the map represents 1 km. ana and larissa
start at the turnaround point and walk directly
toward the trailhead. if they walk at an average
speed of 4.5 km/h, will they make it to the
trailhead in less than 2 hours? support your
answer.

Ana and Larissa will not arrive in less than 2 hours

Step-by-step explanation:

we have

On a map, a trailhead is located at (5,3) and a  turnaround point is located at (15, 6)

step 1

Find the distance between a trailhead point and a a  turnaround point

the formula to calculate the distance between two points is equal to

substitute the values

Remember that each units on the map represents 1 km

so

step 2

Find the time

The speed is equal to the ratio between the distance and the time

Let

s ----> the speed

d ----> the distance in km

t ---> the time in hours

we have

substitute in the formula and solve for t

therefore

Ana and Larissa will not arrive in less than 2 hours

step-by-step explanation:

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3