Answer:
Length = 16 feet.
Width = 7 feet
Height = 8 feet
Volume = 896 cubic feet.
Step-by-step explanation:
There is a rectangular prism boiler room. 112 square feet is the floor area of the room.
Let the length of the room is L feet and width is W feet.
So, LW = 112 ...... (1)
Now, given that L = 2 + 2W ........ (2) , hence, from equation (1) we get
(2 + 2W)W = 112
⇒ 2w + 2w² = 112
⇒ W² + W - 56 = 0
⇒ (W +8)(W - 7) = 0
⇒ W = 7 feet. {Neglecting the negative root as W can not be negative}
Hence, from equation (2) we get L = 2W + 2 = 16 feet.
Now, 1 foot more than the width is the height H.
Hence, H = 7 + 1 = 8 feet.
Therefore, the volume of the room is, V = LWH = 16 × 7 × 8 = 896 cubic feet. (Answer)
Answer:
39
Step-by-step explanation:
Formula for the nth term (an) = a1 + d(n - 1) where a1 = the first term and d = common difference.
So here the 13th term = 3 + 3(13 - 1)
= 3 + 3*12
= 39 (answer).
Answer:
<em>For 10 visits, both gyms charge the same</em>
Step-by-step explanation:
<u>Equations</u>
Gym memberships' costs are:
G1 = 100 + 2x
G2 = 12x
Where x is the number of visits to the gym.
We need to find the number of visits for which the charges for both gyms are the same. Thus equating the costs:
12x = 100 + 2x
Subtracting 2x:
10x = 100
Dividing by 10:
x =10
For 10 visits, both gyms charge the same
Answer:
y = 4x -16
Step-by-step explanation:
y+8= 4(x-2)
y+8=4x-8
y= 4x - 16
