Answer/Step-by-step explanation:
A. Distance travelled at constant rate = 180 miles
Rate of travel (r) = distance travelled (d) /time (t)
Travel time (hrs) ==> rate of travel (miles/hr)
5 ==> 180/5 = 36
4.5 ==> 180/4.5 = 40
3 ==> 180/3 = 60
2.25 ==> 180/2.25 = 80
B. t = time travelled in hrs,
r = rate (miles/hr)
d = distance travelled = 180
Therefore, rate travelled for t hours would be:
B = rw+ r
Factor the right side:
b = r (w + 1)
Divide each side by ' r ' :
b/r = w + 1
Subtract 1 from each side:
b/r - 1 = w
Answer:
Suppose that logb b = x.
bx = b (Use the definition of a logarithm.)
bx = b1
x = 1 (Use the common base property.)
So, logb b = 1.
First number is (x).
Second number is (2x+7).
Third number is (x-12).
Their sum is (x+2x+7+x-12).
x+2x+7+x-12 =131
You can simplify this equation
4x-5=131,
4x=136
x=136/4=34 (first number),
(2x+7)=34*2+7=75 (second number)
34-x=34-12 =22(third number)
Check: 34+75+22=131
