Answer:
Solving the inequality
we get 
The graph of the inequality is shown in figure attached.
Step-by-step explanation:
We need to Solve each compound inequality 
Solving the inequalities
For solving compound inequalities we solve both inequalities simultaneously and find the value of m.
For solving 5+m > 4, we subtract 5 from both sides.
While solving 7m < -35, we divide both sides by 7 to get value of m
Applying these functions we get:

So, solving the inequality
we get 
The graph of the inequality is shown in figure attached.
Answer:
-600
Step-by-step explanation:
4 x 10 x 3 x 5 x -1
40 x 15 x -1
600 x -1 = -600
Answer:
No, she cannot completely cover the footrest.
Step-by-step explanation:
First of all, we need to find the total surface area of the prism to be covered using the cotton cloth
the total surface area of the prism is
A = 2wl + 2lh + 2hw,
l is the length of the prism = 18 in,
w= width of the prism = 12 in,
h is the height of the prism = 10 in
hence 
We need to convert the area of the fabric to be in the same unit as that of the prism
Area of cotton fabric = 
since the surface area of the foot rest is more than the area of fabric she has, she cannot completely cover the footrest
Answer:
$66.5
Step-by-step explanation:
The cost, including tax, amounts to $850.00.
Down payment =$150
Amount after paying down payment = $850-$150=$700
Interest rate = 14 %
So, interest on $700 = 
So, c = $98
Total payment = amount financed + c = 700+98=$798
Now Joe finances the grill over 12 months
So, no. of payments = 12
Now Monthly payment = Total of payments ÷ number of payments
=798 ÷ 12
=$66.5
Hence Joe's monthly payments (principal plus interest) is $ 66.5
Answer: Trapezoidal prism
A figure with 4 sides and a parallel side is called a trapezoid, this is a 3 dimentional trapezoid which is called a trapezoidal prism.