If the two integers are both the same sign (both positive or both negative), then the quotient will be positive.
Answer:
- 15 = -3c +12
- -3n +8 = -7
- 5z -40 = 10
- 3.4s -35 = 50
Step-by-step explanation:
Usually, you're asked to "simplify" an equation, meaning that you eliminate parentheses and combine like terms. Asking for "simplest form" suggests something different. The simplest form is the form that has the variable equal to a constant--the solution, in other words.
We suspect you want the <em>simplified form</em>, but since you asked for the <em>simplest form</em>, that is here, too.
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1. 15=-3(c-1)+9
15 = -3c +3 +9
15 = -3c +12 . . . . . simplified form of the given equation
-1 = c . . . . . . . . . . "simplest" form
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2. 2(1.5n+4)-6n=-7
3n +8 -6n = -7
-3n +8 = -7 . . . . . . simplified form of the given equation
n = 5 . . . . . . . . . . . "simplest" form
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3. 2(z-20)+3z=10
2z -40 +3z = 10
5z -40 = 10 . . . . . . simplified form of the given equation
z = 10 . . . . . . . . . . "simplest" form
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4. 2/5s -2+3(s-11)=50
0.4s -2 +3s -33 = 50
3.4s -35 = 50 . . . . simplified form of the given equation
s = 25 . . . . . . . . . . "simplest" form
Starting from the half circle, the radius is 2, (from the other side of the figure) and using that, 2 x 2 = 4 x 3.14 (or pi) = 12.56. But, it's a half circle. So, 12.56 / 2 = 6.28.
One in the bag!
Going left, we have a rectangle. b x h = a. 6 x 8 = 48.
Done. (by the way, that's the enclosed space)
Finally, the triangle. The triangle's area is found by 1/2 x b x h. 1/2 x 2 x 6 = 6.
The full area of the figure is 60.28.
Hope this helped.