9514 1404 393
Answer:
138, 139
Step-by-step explanation:
Let n represent the lower page number. Then we have ...
n +(n +1) = 277
2n = 276
n = 138
n +1 = 139
The page numbers are 138 and 139.
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The odd page number is generally on the right side of facing pages.
Step 1: Simplify both sides of the equation.<span><span><span>3x</span>+<span>2<span>(<span>x−9</span>)</span></span></span>=<span><span><span>8x</span>+x</span>−14</span></span><span><span><span><span>3x</span>+<span><span>(2)</span><span>(x)</span></span></span>+<span><span>(2)</span><span>(<span>−9</span>)</span></span></span>=<span><span><span><span>8x</span>+x</span>+</span>−14</span></span>(Distribute)<span><span><span><span><span>3x</span>+<span>2x</span></span>+</span>−18</span>=<span><span><span><span>8x</span>+x</span>+</span>−14</span></span><span><span><span>(<span><span>3x</span>+<span>2x</span></span>)</span>+<span>(<span>−18</span>)</span></span>=<span><span>(<span><span>8x</span>+x</span>)</span>+<span>(<span>−14</span>)</span></span></span>(Combine Like Terms)<span><span><span>5x</span>+<span>−18</span></span>=<span><span>9x</span>+<span>−14</span></span></span><span><span><span>5x</span>−18</span>=<span><span>9x</span>−14</span></span>Step 2: Subtract 9x from both sides.<span><span><span><span>5x</span>−18</span>−<span>9x</span></span>=<span><span><span>9x</span>−14</span>−<span>9x</span></span></span><span><span><span>−<span>4x</span></span>−18</span>=<span>−14</span></span>Step 3: Add 18 to both sides.<span><span><span><span>−<span>4x</span></span>−18</span>+18</span>=<span><span>−14</span>+18</span></span><span><span>−<span>4x</span></span>=4</span>Step 4: Divide both sides by -4.<span><span><span>−<span>4x</span></span><span>−4</span></span>=<span>4<span>−4</span></span></span><span>x=<span>−1</span></span>
Answer:
$150
Step-by-step explanation:
Let n = the number of students and
Let x = the contribution per student.
We have two conditions:
(1) 12 900 = nx
(2) 12 900 = (n+14)(x - 21)
Set (1) = (2) nx = (n+14)(x - 21)
Remove parentheses: nx = nx - 21n + 14 x - 294
Subtract nx from each side 0 = -21n + 14x - 294
Divide each side by -7 (3) 0 = 3n - 2x + 42
Divide each side of (1) by x (4) n = 12 900/x
Substitute (4) into (3) 0 = (3 × 12 900)/x - 2x + 42
0 = 38 700/x - 2x + 42
Multiply each side by x 0 = 38 700 - 2x² + 42x
Multiply each side by -1 0 = 2x² - 42x - 38 700
Solve the quadratic equation
x = [-b±√(b² - 4ac)]/(2a)
x = {42 ± √[(42² - 4×2(-38700)]}/(2 × 2)
= [42 ± √(1764 +309 600]/4
= [42 ± √(311 364)]/4
= (42 ± 558)/4
= 600/4
= 150
Each student contributes $150.