Acyclist rides into the country at an average speed of 10 miles per hour. when his bicycle gets a flat tire, he walks it back at an average speed of 3 miles per hour. if he returns home 6 and a half hours after he starts, how far into the country does he go? pls me

To solve this problem you must analyze the data provided very well.

The distance the cyclist travels across the country is the same as when he travels back home. Let's call d at that distance.

The distance traveled when the cyclist travels on the bicycle is:

(i)

Where is the time he traveled on the bicycle

Now, the distance traveled by the cyclist back home is:

(ii)

Where is the time it took the cyclist to walk back home.

The total time that the tour lasted was 6.5 hours. So:

(iii)

We know from equation (i) that:

We know from equation (ii) that:

Then, substituting in (iii) we have:

.

We cleared d from the equation:

The cyclist traveled on his bicycle a distance of 15 miles

(x3 + 6x2 + 2x - 6) • (x - 1)

step-by-step explanation:

polynomial long division :

3.2     polynomial long division

dividing :   x4+5x3-4x2-8x+6

                              ("dividend")

by         :     x-1     ("divisor")

dividend     x4   +   5x3   -   4x2   -   8x   +   6

- divisor   * x3     x4   -   x3            

remainder         6x3   -   4x2   -   8x   +   6

- divisor   * 6x2         6x3   -   6x2        

remainder             2x2   -   8x   +   6

- divisor   * 2x1             2x2   -   2x    

remainder               -   6x   +   6

- divisor   * -6x0               -   6x   +   6

remainder                     0

quotient :   x3+6x2+2x-6   remainder:   0

the camry sales+accord sale=828,000. to make it so the two numbers are 18 thousand apart and still equal 828,000, you first need to find out what half of 828,000 is. 828,000/2=414,000. for the two numbers to equal 828,000, you have to add the same amount as you subtract from the middle. in this case, the number is 9,000 because it's half of 18,000. to equal 828,000, you have to add 9,000 to 414,000 for the camry and subtract 9,000 from 414,000 for the accord. 414,000+9,000=423,000.

414,000-9,000=405,000.

423,000+405,000=828,000.

423,000-405,000=18,

hope it