<h3>
Answer: 0.157</h3>
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Explanation:
Convert the fraction 9/50 to decimal form. You can use either long division or a calculator.
You should find that 9/50 = 0.18 which is the same as 0.180
So the original compound inequality is the same as saying 0.125 < x < 0.180
This tells us that x is between 0.125 and 0.180 where x is not equal to either endpoint. We simply need to pick anything in this interval. It can be anything you want (I recommend to use a number line to help pick a value). One such value is 0.157. There are infinitely many values you can select from.
The number 0.157 is between 0.125 and 0.180, ie 0.125 < 0.157 < 0.180
It's very similar to saying 157 is between 125 and 180, ie 125 < 157 < 180.
Answer:
Area for rectangle = B*H
Area for triangle = B*H/2
total area = area of triangle + area of rectangle
A of rectangle = 17 * 22 = 374 cm²
Triangle height is not giving so we take 22-10 = 12 cm for the height so
A of triangle = 12*19/2 = 114 cm²
total A = 114 + 374 = 488 cm²
Step-by-step explanation:
The vertical asymptote requires a factor of (x-4) in the denominator.
The double zero requires a factor of (x-1)² in the numerator.
At x=0, these factors will give a value of (-1)²/(-4) = -1/4, so another constant factor of -12 is needed to make the y-intercept be 3.
Your rational function is ...
... y = -12(x -1)²/(x -4)
Answer:
3/4 = 16/x. Step-by-step explanation: Set up the original ratio: 3:4 (a.k.a. 3/4 or 3 to 4) Because 16 correlates to red paint and 3 correlates to red paint the will be in the same location (as the numerator or denominator).. Also, the amount of blue paint is unknown so that is x.4 also represents blue paint, so 4 and x will also be on the same level (as the numerator of denominator).
Step-by-step explanation:
Solution
1) Simplify

<span> to </span>


<span>−2= </span>

+

2) Simplify

+

<span>to <span>914</span>
</span>

<span>−2= </span>

3) <span>Add 2 to both sides
</span>

=

<span>+2
</span>
4) Simplify

<span><span>+2</span> to </span>


=

5) <span>Multiply both sides by 7
</span><span>4y= </span>

<span>×7
</span>
6) Simplify

<span><span>×7</span> to </span>


=

7) Simplify

<span> to </span>


=

8) <span>Divide both sides by 4
</span>y=

<span>×4
</span>
9) <span>Simplify <span>2×4</span> to 8
</span><span>y=</span>

<span><span>
Hope this helps
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