A) the middle of the range is 39.5%
b) the difference between the middle and the ends of the range is ±1.5%
c) less than a majority favor change. Change seems unlikely.
Answer:
x = -10
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
4.5(8 - x) + 36 = 102 - 2.5(3x + 24)
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute: 36 - 4.5x + 36 = 102 - 7.5x - 60
- Combine like terms: -4.5x + 72 = -7.5x + 42
- Add 7.5x on both sides: 3x + 72 = 42
- Subtract 72 on both sides: 3x = -30
- Divide 3 on both sides: x = -10
<u>Step 3: Check</u>
<em>Plug in x into the original equation to verify it's a solution.</em>
- Substitute in <em>x</em>: 4.5(8 - -10) + 36 = 102 - 2.5(3(-10) + 24)
- Simplify: 4.5(8 + 10) + 36 = 102 - 2.5(3(-10) + 24)
- Multiply: 4.5(8 + 10) + 36 = 102 - 2.5(-30 + 24)
- Add: 4.5(18) + 36 = 102 - 2.5(-6)
- Multiply: 81 + 36 = 102 + 15
- Add: 117 = 117
Here we see that 117 does indeed equal to 117.
∴ x = -10 is a solution of the equation.
To change a fraction into a decimal, divide the numerator by denominator. This gets you a decimal. Example.
4/25 Oh OK! 4 divided by 25 equals.... 0.16! GG
:)-Kibeye
Answer:
<h2>Hi! The answer to your question is
(-1,-
)</h2>
Step-by-step explanation:
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☆Brainliest is greatly appreciated!☆
Hope this helps!!
- Brooklynn Deka
|AC|
------ = tan 25 deg, so |AC| = 8.6 tan 25 deg
8.6 8.6 (0.466) = 4.01 units (answer)
