n, n + 2, n + 4 - three consecutive even integers
the twice the sum of the second and third: 2[(n + 2) + (n + 4)]
twelve less than six times the first: 6n - 12
The equation:
2[(n + 2) + (n + 4)] = 6n - 12
2(n + 2 + n + 4) = 6n - 12
2(2n + 6) = 6n - 12 <em>use distributive property</em>
(2)(2n) + (2)(6) = 6n - 12
4n + 12 = 6n - 12 <em>subtract 12 from both sides</em>
4n = 6n - 24 <em>subtract 6n from both sides</em>
-2n = -24 <em>divide both sides by (-2)</em>
n = 12
n + 2 = 12 + 2 = 14
n + 4 = 12 + 4 = 16
<h3>Answer: 12, 14, 16</h3>
Assuming John does not get premium pay for hours over 40, his pay will be ...
... 43 hours × $9.00 = $387
... - 6.2% × $387 = $23.99
... - 1.45% × $387 = $5.61
... - $15.00
... - 5% × $387 = $19.35
... - 10% × ($387 -19.35) = $36.77
... = $286.28 . . . . net pay after all the deductions
Answer:
1. x = 2
2. x = 5
3. x = 8
4. x = 28
5. x = 13
6. x = 11
7. x = 0
8. x = 72
9. x = 6
10. x = 38
Step-by-step explanation:
hope that helps!
1. subtract 6 on both sides
2. add 3 on both sides
3. divide both sides by 2
4. multiply both sides by 2
5. add 8 on both sides
6. subtract 9 on both sides
7. add 5 on both sides
8. multiply both sides by 6
9. divide both sides by 4
10. add 18 on both sides
Answer:
D. 14°
Step-by-step explanation:
The Law of Sines tells you sides are in proportion to the sine of the opposite angle:
sin(A)/BC = sin(B)/AC
sin(A) = BC/AC·sin(B)
A = arcsin(BC/AC·sin(B)) = arcsin(7/28·sin(75°)) ≈ 13.974° ≈ 14°
They can be arranged 120 different ways
