Answer: a) No Solution
b) Infinite Solutions (All Real Numbers)
<u>Step-by-step explanation:</u>
4(g + 8) = 7 + 4g
4g + 32 = 7 + 4g <em>distributed 4 into g + 8</em>
32 = 7 <em> subtracted 4g from both sides</em>
Since the statement is false because 32 ≠ 7, then there is NO SOLUTION
-4(-5h - 4) = 2(10h + 8)
20h + 16 = 20h + 16 <em>distributed</em>
16 = 16 <em>subtracted 20h from both sides</em>
Since the statement is true because 16 = 16, then there are INFINITE SOLUTIONS so x can be all real numbers.
Let the number total slices = x
He ate (1/4) x
He has x - 1/4 x = 3/4 x slices left.
Each one of these slices is cut into 1/8s
T (total number of slices) = 8 * (3/4x)
T = (8*3/4) x
T = (24/4)x
T = 6x slices.
Answer:
P= 20.2 and A= 15.675
Step-by-step explanation:
The formula for the area of a triangle is 1/2 base*height. Therefore, the equation for the area of the triangle is 1/2*5.7*5.5. 1/2*5.7=2.85. 2.85*5.5=15.675(area). To find perimeter you're simply adding the numbers. When you add up the numbers of the triangle, you get 20.2.
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Answer:
14. 2384 in²
15. 291.8 in²
Step-by-step explanation:
14. The total surface area consists of the area of two equal triangles and three rectangles.
The area of each triangle is 
, which is 
. The area of both triangles combined is 336 in².
The area of each of the slanted rectangles is base x height, which is 25x32=800 in². The area of both rectangles combined is 1600 in².
The area of the base rectangle is 14x32=448 in².
Therefore, to find the total surface area, you add the area of each side together: 336+1600+448=2384 in².
15. The equation for the surface area of a cylinder is 
.
The radius (r) is 4.6 in and the height (h) is 9.1 in.
Therefore, the surface area is:
in²
Answer:
5, 17
Step-by-step explanation:
For this problem, you need to create a system of equations.
We can name one number x and the other y.
First equation: 2x + 7 = y
Second equation: x + y - 10 = 12, or x + y = 22.
We know y = 2x + 7, so we can substitute that into the second equation.
x + 2x + 7 = 22.
3x = 15
x = 5.
Plug x back into the first equation:
2 · 5 + 7 = y.
y = 10 + 7
y = 17.
