Quadratics have 2 solutions
Factor the Quadratic
x^2 +3x -4 = 0
(x-1) (x+4) = 0
set each term = 0
x-1=0 x+4 = 0
solve
x=1 x=-4
The solutions are 1, -4
30 min = 30/60 hr = 0.5 hr
d = rt
100 = r*0.5
100/0.5 = r
200 = r
r = 200 mph.
We know that Rate = distance/time
(30 minutes is .5 hour)
Rate=100 mile/.5 hour
Divide and we get:
Rate=200 MPH
(Hint: MPH is Miles per Hour---Per means "for each")
Make sense?
Answer:
1/5
Step-by-step explanation:
If you only eat 3/5 of 1/3, you ate 3/5 × 1/3. Multiply fractions straight across the top and straight across the bottom to get 3/15. That reduces down to 1/5. So you ate 1/5 of the large pizza.
Answer:
The third number is 180.
Step-by-step explanation:
Let the third number be 9x where x is an integer.
48 = 2*2*2*2*3
264 = 2*2*2*3*11
9x = 3*3*x
2*2*2*2*3*3*11*x = 7920y where y is an integer
1584x = 7920y
so x = 7920y / 1584= 5y.
Now the GCD is 12 so x must have 4 as one of its factors.
Also x is a multiple of 5 so it could be 20 then y would be 4.
If x = 20 then the third number is 9*20 = 180.
This checks out OK.
