Dr. Hoover allot his time on Tuesday for an annual checkup is 147 minutes and for a sick visit is 42 minutes (Total 189 minutes)
On Wednesday appointment, he allot his time for an annual checkup is 147 minutes and for a sick visit is 21 minutes (Total 168 minutes)
solution
Let us assume, minutes for annual checkup denoted as x and
minutes for sick visit denoted as y
The equation of Tuesday visit is 
The equation of Wednesday visit is 
by changing the signs of the equation 2 and subtract it from the equation 1 we will get 1y = 21 minutes
to substitute y =1 in the equation 2 we get





then now we have substitute both x = 49 and y= 21 in equation ----- 2
we will prove that

so the Tuesday appointment , the time allotted for an annual checkup is 147 minutes and for a sick visit is 42 minutes (Total 189 minutes)
On Wednesday appointment, the time allotted for an annual checkup is 147 minutes and for a sick visit is 21 minutes (Total 168 minutes)
Answer:
......................found it
x + 3 < 4x - 12 or 4x - 12 < 20
<u>-x </u> <u> -x </u> <u> +12 </u> <u>+12 </u>
3 < 3x - 12 or 4x < 32
<u> +12</u> <u> +12 </u> <u> ÷4 </u> <u>÷4 </u>
15 < 3x or x < 8
<u> ÷3</u> <u>÷3 </u>
5 < x
5 < x < 8
Graph: 5 o---------------o 8
We know that speed * time = distance
Before we start we need to make sure the units for all three numbers are right
The time is 1/3 of a hour, 1/3*60 = 20 minutes
x * 20 = 22.5
x *2 * 10 = 22.5
2x = 2.25
x = 1.125