SOLUTION: SAT Problems: For what values of p does the equation px = 10 have a solution −5; 1; 20? For what values of m does the equation mx = 5 have a single solution? Can m have a v

Question 1148093: SAT Problems:
For what values of p does the equation px = 10 have a solution −5; 1; 20?
For what values of m does the equation mx = 5 have a single solution? Can m have a value for which the equation does not have solutions; have infinite number of solutions?
Miriam left Chicago at 9:00 AM and headed to Washington. The first 2 hour Miriam averaged 70 mph. But after she decided to reach Washington at 6:00 PM, she increased her speed. What was her speed after increasing, if the distance between the cities is 700 miles.
I actually tried to solve these problems. Please help(please include the steps too). Thank you so much!
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

For the first two questions, the statements of the problems are not at all clear....

For any equation of the form A*B=C, as long as C is not 0, the equation has a single solution for A given a value for B, and a single solution for B given a value of A.

If in an equation of that form C=0, then one of A or B has to be 0; then there is an infinite number of solutions for the other number, since any number times 0 is 0.

There are no equations of that form that have no solutions.

last question....

The trip is 9 hours, from 9am to 6pm; in the first 2 hours at 70mph, she travels 70*2=140 miles; she has 700-140=560 miles left to go; she wants to travel those 560 miles in 9-2=7 hours.

What speed is required to travel 560 miles in 7 hours?

RELATED QUESTIONS
Please help. SAT Problems: For what values of p does the equation px = 10 have a... (answered by greenestamps)

for what value(s) of p does the equation x^2+px+1=0 have no real solutions, and two real... (answered by Fombitz)

For what value(s) of d does the equation |x-c|=d have no real solution? For what values... (answered by greenestamps)

the solution to this system of equations is (-2,1). Find the values for p and q.... (answered by jim_thompson5910)

for what values of p is 4x^2+px+49=0 a perfect... (answered by checkley77)

For what values of K does the equation have equal solutions?... (answered by josmiceli)

For what values of 'c' does the equation |2x -4| = x + c have exactly two... (answered by ikleyn)

For which values of m does the equation 2x^+2x+m+4=0 have a.two real solutions ? b.one... (answered by Fombitz)

1. Given the system x + ay = 6 ax + 9y = b a. For what values of a does the system... (answered by oscargut)