<h2>At time 9 : 00 AM they are 135 miles apart.</h2>
Step-by-step explanation:
Nancy leaves the house at 7:00 A.M. and averages 15 miles per hour. Mark leaves at 7:15 A.M. and averages 60 miles per hour.
Let the time after the start of Mark when they are 135 miles apart be t hours.
Time traveled by Nancy = t + 7:15 - 7:00 = t + 15 minutes = (t+0.25) hours
They are traveling in the opposite direction so,
Distance between them = Speed of Nancy x Time of travel of Nancy + Speed of Nancy x Time of travel of Nancy
135 = 15 x (t+0.25) + 60 x t
135 = 15t + 3.75 + 60t
75t = 131.25
t = 1.75 hours = 1 hour 45 minutes
Time = 7: 15 + 1 hour 45 minutes = 9 : 00 AM
At time 9 : 00 AM they are 135 miles apart.
Answer:
2
Step-by-step explanation:
We can set up equation for this one.
Let's say the number is X.
the sum of X and 14 can be expressed as : X+14
five times the sum of X and 14 can be expressed as 5(x+14)
and 5(X+14) = 80
The number is 2
(1)4x + 3> 15 or -6x>=12
4x+3>15, subtract 3 on both sides (4x> 12) and then divide both sides by 4
x > 3
-6x>=12, divide both sides by -6 , so x<=-2
x>3 or x<=-2
The middle graph satisfies the above inequality
(2) -8x>-24 and -10<=2x-6
-8x>-24 , divide both sides by -8 , so it becomes x < 3
-10<=2x-6, add both sides by 6 , -4<=2x . then divide both sides by 2
x >=-2
x>-2 and x<3
The last graph satisfies the above inequality
-29<=9x-2<16
Add both sides by 2 and then divide both sides by 9
-27 <= 9x < 18
divide both sides by 9
-3 <= x < 2
x lies between -3 and 2
The first graph satisfies the above inequality