Answer:
3.5 hours
Step-by-step explanation:
Distance = 21 miles
Speed * time
Speed * time = distance
Tom speed = 2 mph
Brian = 4 mph
Let time = t
Brian distance + Tom's distance = total distance
4t + 2t = 21
6t = 21
t = 21 / 6
t = 3.5 hours
Answer:
The solution is:
![-\frac{1}{2}x\ge \:4\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:-8\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:-8]\end{bmatrix}](https://tex.z-dn.net/?f=-%5Cfrac%7B1%7D%7B2%7Dx%5Cge%20%5C%3A4%5Cquad%20%3A%5Cquad%20%5Cbegin%7Bbmatrix%7D%5Cmathrm%7BSolution%3A%7D%5C%3A%26%5C%3Ax%5Cle%20%5C%3A-8%5C%3A%5C%5C%20%5C%3A%5Cmathrm%7BInterval%5C%3ANotation%3A%7D%26%5C%3A%28-%5Cinfty%20%5C%3A%2C%5C%3A-8%5D%5Cend%7Bbmatrix%7D)
The number line graph of the solution is also attached below.
From the graph, it is clear that the 2nd number line represents the solution set for the inequality.
Step-by-step explanation:
Given the inequality

Let us solve the inequality

Multiply both sides by -1 (reverse the inequality)

Simplify

Multiply both sides by 2

Simplify

Thus, the solution is:
![-\frac{1}{2}x\ge \:4\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:-8\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:-8]\end{bmatrix}](https://tex.z-dn.net/?f=-%5Cfrac%7B1%7D%7B2%7Dx%5Cge%20%5C%3A4%5Cquad%20%3A%5Cquad%20%5Cbegin%7Bbmatrix%7D%5Cmathrm%7BSolution%3A%7D%5C%3A%26%5C%3Ax%5Cle%20%5C%3A-8%5C%3A%5C%5C%20%5C%3A%5Cmathrm%7BInterval%5C%3ANotation%3A%7D%26%5C%3A%28-%5Cinfty%20%5C%3A%2C%5C%3A-8%5D%5Cend%7Bbmatrix%7D)
The number line graph of the solution is also attached below.
From the graph, it is clear that the 2nd number line represents the solution set for the inequality.
Let's named wholesale price with variable x.
The appropriate equation is
1.6 x + 0.75 = 18.75 => 1.6x = 18.75 - 0.75 => 1.6x = 18 => x= 18/1.6
x= 11.25$ The wholesale price is 11.25$
Good luck!!!!