39/1.5 = 26 km per hour
51/3 = 17 km per hour
Then you need the mean. 26+17/2 = 21.5 km per hour
Answer:
It will take Jack 40 minutes to cover the same distance which Micheal covers in 60 minutes. Both will meet at 3 miles distance at 3 pm.
Step-by-step explanation:
Micheal runs 3 miles in one hour or 60 minutes.
In one minute he runs 3/60= 1/20 or 0.05miles.
Jack runs 4.5 miles in one hour or 60 minutes.
In one minute he runs 4.5/60= 45/600= 9/120= 3/40 or 0.075 miles.
So Jack is 0.075/0.05 = 1.5 times faster than Micheal.
or Micheal is 1.5 times slower than Jack.
Jack starts from 2:20 pm and at 3 pm he will run 0.075(40 minutes)= 3miles
Micheal start at 2:00 pm and at 3 pm he will run 0.05(60 minutes)= 3 miles
So at 3 pm both will have covered equal distance= 3miles.
It will take Jack 40 minutes to cover the same distance which Micheal covers in 60 minutes. Both will meet at 3 miles distance at 3 pm.
Answer:

Step-by-step explanation:
See attachment for complete question.
From the attachment:


Dilation:

Required
Determine R'
First, subtract the coordinates of P from R. This means that R is measured from P.



Next, apply dilation factor 0.5




Lastly, measure R' from the origin by adding the coordinates of P to R'



In point slope form:
y+3=1/2(x-2)
In slope intercept
y= 1/2x-4
Step-by-step explanation:
x = the total money she had first.
x - x×1/4 - (x - x×1/4)×1/2 = 15
you see, first we needed to deduct 1/4 of x from x. that left us with (x - x×1/4). and from that we need to deduct 1/2.
now, we can simplify :
(x - x×1/4) = (x×4/4 - x×1/4) = x×3/4
x×3/4 - x×3/4 × 1/2 = 15
x×3/4 - x×3/8 = 15
we multiply both sides by 8 (4 is a factor of 8, so this handled both fractions perfectly) :
x×3×2 - x×3 = 120
6x - 3x = 120
3x = 120
x = $40
she had $40 at the beginning.