Emma started biking to the coffee shop traveling 15 mph, after some time the bike got a flat so Emma walked the rest of the way, traveling 7 mph. If the total trip to the coffee shop took 9 hours and it was 103 miles away, how long did Emma travel at each speed

Step-by-step explanation:

GIVEN: Emma started biking to the coffee shop traveling , after some time the bike got a flat so Emma walked the rest of the way, traveling If the total trip to the coffee shop took and it was away.

TO FIND: how long did Emma travel at each speed.

SOLUTION:

Let the distance traveled by Emma through bike is

Total time taken when traveled by bike

Distance traveled through feet

Total time taken when traveled by feet

Now,

Total time taken

Distance traveled through feet

Hence distance traveled using bike is and by feet is

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form

is this a dating site too?