Answer: No solution
Step-by-step explanation:
7(x+4) - 6(x+3) = x + 5
7x + 28 - 6x - 18 = x + 5 distributing
7x - 6x - x = -28 + 18 +5
0 = -5 <u>Not true</u>
No solution
Answer:
y=15
Step-by-step explanation:
Answer:
- total area is the total of the areas of each of the rectangular surfaces
- 67 units²
Step-by-step explanation:
Add up the surface areas of each of the 6 faces.
There are two top/bottom faces with the same area, two left/right faces with the same area, and two front/back faces with the same area. So you only need to figure the areas for 3 faces, then multiply that sum by 2. Of course the area of each rectangle is the product of its length and width. For length, width, and height dimensions L, W, and H, the total area is ...
A = 2(LW +WH +LH)
= 2(LW +H(L+W)) . . . . . I like this form because there's one less multiplication
= 2(5·4 + 1.5(5+4)) = 2(20 +13.5)
A = 67 . . . units²
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<em>Comment on dimensions</em>
It does not matter which number you use for length, width, or height. The problem is symmetrical that way, so any of the dimensions can be called any of those things. You need to use the same number consistently for height (for example) once you have made the choice of which is which.
Answer:
Step-by-step explanation:
Your question doesn't match the picture. OCR is often inaccurate!—not that it matters much in this case. None of the choices is correct.
(20-4)·6² + 2 + 18 = 16·6² + 2 + 18
= 16·36 + 2 + 18
= 576 + 2 + 18
= 578 + 18
= 596
The number of buckets is directly proportional to the area and the thickness of the wall and inversely proportional to the amount of paint. Mathematically, we can write:
n = k · (a · t) / p
where k is the proportionality constant which we do not know.
We can calculate k with the given data: 5 2-gallon buckets, area of 100 square feet and thickness 3 inches:
k = (n · p) / (<span>a · t)
= (5 </span>· 2) / (100 · 3) = 0.0333
Now that we know the constant, we can calculate the area that can be painted with 8 2-gallon buckets if the thickness is 6 inches:
a = (n · p) / (k<span> · t)
= (8 </span>· 2) / (0.0333 · 6)
= 80 ft²
Please, note that we made sure to have the exact same units of measurements than the previous case.
Therefore, the correct answer is an area of 80 ft².
