Answer: x = 2
Step-by-step explanation:
<em>first, we remove the parentheses. </em>
10 - 54 - 24x = 10x - 120 + 8
<em>then, we just calculate that out.</em>
-44 - 24x = 10x - 112
<em>next, we move the terms.</em>
-24x - 10x = -112 + 44
<em>then, we collect the like terms and calculate it.</em>
-34x = -68
<em>finally, we divide both sides.</em>
x = 2
Answer:
6084
.
Step-by-step explanation:
Please find the attachment.
We have been given that the home-office of Tri-star industries is made up of three square buildings, one for each department, with a triangular atrium in the middle. The area of the Plumbing building is 5,184
and the area of the A/C building is 900
.
We know that area of square is square of its side length. Since all building are squares, so to find the area of electrical building, we will use Pythagoras theorem.

We can see from our attachment that side length of electrical building is hypotenuse (c) of the right triangle.
Upon substituting our given information in Pythagoras theorem, we will get:


Therefore, the area of electrical building is 6084 square feet.
We know that the width of the garden is =
feet = 6.75 feet
and Perimeter of the garden is = 37.5 feet
Also, we know that for a rectangular space perimeter = 2 * (l + w)
⇒ 37.5 = 2 * (l + 6.75)
⇒ 37.5 = 13.5 + 2*l
⇒ 24 = 2*l
⇒ l = 12 feet
Now, we need to determine how much square feet of mulch is required, hence we need to calculate the area of the garden
Area = l * w
⇒ Area = 12 * 6.75
⇒ Area = 81 square feet
Hence, they require 81 square feet of mulch
Answer:
h = 76
Step-by-step explanation:
2 + h - 48 = 30
h + 2 - 48 = 30
h - 46 = 30
h - 46 + 46 = 30 + 46
h = 76