Okay, so the equations would be:
x + 3y = 24
3y + 5x = 36
Imma use Substitution to solve this:
x = -3y + 24
3y + 5(-3y + 24) = 36
3y - 15y + 120 = 36
-12y + 120 = 36
-12y = -84
y = 7
x = -3(7) + 24
x = -21 + 24
x = 3
So the first number (x) would be 3 and the second number (y) would be 7.
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:
52°
Step-by-step explanation:
<D = 360 - (78+106 + 124)
<D = 360 - 308
<D = 52°
Answer:
-5y
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
