Answer
10 hours
Explanation
Step one:
given information
Company A
charges $45 per hour and a $150 equipment fee.
Let A represent the amount Company A would charge for t hours
So, the expression for the total is
A= 45t+150--------------------1
Company B
charges $35 per hour and a $200 equipment fee.
Let B represent the amount Company B would charge for t hours
So, the expression for the total is
B= 35t+200--------------------2
Step two:
equating the two equations above
A=B
45t+150=35t+200
collect like terms
45t-35t= 200-150
5t=50
divide both sides by 5
t=50/5
t=10
Answer:
107 in ²
Step-by-step explanation:
Surface area of the triangular prism = bh + L(s1 + s2 + s3)
Where,
b = 2 in.
h = 8 in.
s1 = 8.2 in.
s2 = 2 in.
s3 = 8 in.
L = 5 in.
Substitute
Surface area = 2 × 8 + 5(8.2 + 2 + 8)
Surface area = 16 + 5(18.2)
Surfaces area = 16 + 91
Surface area = 107 in ²
To find the area of a regular polygon, area = 1/2 x perimeter x apothem.
Perimeter = the sum of the lengths of all the sides.
Apothem = a segment that joins the polygon's center to the midpoint of any side that is perpendicular to that side.
Answer:
a.
500x+0.04=y
400x+0.05=y
for percentages move decimal to the left twice
Answer:
= 9y^4 -6y^3 -17y^2 -18y -10
Step-by-step explanation:
(3y^2 + 2y + 2) x (3y^2 – 4y – 5)
9y^4 - 12y^3 - 15y^2 + 6y^3 -8y^2 -10y +6y^2 -8y -10
= 9y^4 -6y^3 -17y^2 -18y -10