The formula to find the perimeter of a rectangle is
When we put in our givens to this formula:
Combine x values:
Simplify right side:
Isolate x, by dividing both sides by 10:
To find length:
For width:
To solidify our answers:
So, our length is 153, our width is 102.
Answer:
27
Step-by-step explanation:
You add. hope it helps ;)
a) For x = 27:
z = 27-28/2 = -0.5
For x = 31:
z = 31-38/2 = 1.5
From the normal distribution table, P(27 < x < 31) = P(-0.5 < z < 1.5) = P(z < 1.5) - P(z < -0.5) = 0.9332 - 0.3085 = 62.47%
b) For x > 30.2:
z = 30.2-28/2 = 1.1
From the normal distribution table, P(x > 30.2) = P(z > 1.1) = 1 - P(z > 1.1) = 1 - 0.8643 = 13.57%
It will help you:)
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Let's solve your equation step-by-step.
Step 1: Step 1: Simplify both sides of the equation.<span><span><span>9<span>(<span>k−5</span>)</span></span>−12</span>=<span><span>7k</span>−<span>(<span><span>−6</span>−<span>2k</span></span>)</span></span></span><span><span><span>9<span>(<span>k−5</span>)</span></span>−12</span>=<span><span>7k</span>+<span><span>−1</span><span>(<span><span>−6</span>−<span>2k</span></span>)</span></span></span></span><span>(Distribute the Negative Sign)
</span><span><span>9<span>(<span>k−5</span>)</span></span>−12</span>=<span><span><span>7k</span>+<span><span>(<span>−1</span>)</span><span>(<span>−6</span>)</span></span></span>+<span><span>−1</span><span>(<span>−<span>2k</span></span>)
</span></span></span><span><span>9<span>(<span>k−5</span>)</span></span>−12</span>=<span><span><span>7k</span>+6</span>+<span>2<span>k
</span></span></span><span><span><span><span><span><span>(9)</span><span>(k)</span></span>+<span><span>(9)</span><span>(<span>−5</span>)</span></span></span>+</span>−12</span>=<span><span><span>7k</span>+6</span>+<span>2k</span></span></span>(Distribute)
<span><span><span><span><span><span>9k</span>+</span>−45</span>+</span>−12</span>=<span><span><span>7k</span>+6</span>+<span>2k</span></span></span><span><span><span>(<span>9k</span>)</span>+<span>(<span><span>−45</span>+<span>−12</span></span>)</span></span>=<span><span>(<span><span>7k</span>+<span>2k</span></span>)</span>+<span>(6)</span></span></span>(Combine Like Terms)
<span><span><span>9k</span>+<span>−57</span></span>=<span><span>9k</span>+6</span></span><span><span><span>9k</span>−57</span>=<span><span>9k</span>+6
</span></span>Step 2: Subtract 9k from both sides.
<span><span><span><span>9k</span>−57</span>−<span>9k</span></span>=<span><span><span>9k</span>+6</span>−<span>9k</span></span></span><span><span>−57</span>=6</span>Step 3: Add 57 to both sides.<span><span><span>−57</span>+57</span>=<span>6+57</span></span>=63
Answer: 8 orchestra seats and 6 mezzanine seats.
Step-by-step explanation:
Let be "o" the number of orchestra seats they bought and "m" the number of mezzanine seats they bought.
Set up a system of equations:
You can apply the Substittution Method to solve the system of equations:
1. Solve for "o" from the second equation:
2. Substitute it into the first equation and solve for "m":
3. Substitute the value of "m" into and evaluate, in order to find the value of "o". This is:
