<span>-2x – 4 < 10
add 4 to both sides
-2x - 4 + 4 < 10 + 4
simplify
-2x < 14
divide both sides by -2
-2x/-2 < 14/-2
simplify
x < -7</span>
Average age of the 4 tigers is 17
add all the ages 22,13,18,16 and divide by
Answer:
a) $432
b) (i) $8970
Step-by-step explanation:
Given that:
Ratio of Cost of Hansi and Megan is 7 : 4.
Hansi's holidays cost = $756
Hansi's earnings in 2008 = $7800
In 2009, there are 15% more earnings than in 2008.
To find:
Cost of Megan's holiday.
Earnings in 2009 ?
Solution:
As per given question statement,
Let the holiday cost of Hansi = 7
Let the holiday cost of Megan = 4
As per question statement:

We have to find the value of 4
now.

b)(i)
Earnings in 2009:
$7800 + 15% of $7800

18.
10(b - 6)
<em><u>Distributive property.</u></em>
10b - 60.
20.
7(8 + y)
<em><u>Distributive property.</u></em>
56 + 7y.
22.
9(2n + 1)
<em><u>Distributive property.</u></em>
18n + 9
24.
18(5 - 3w)
<em><u>Distributive property.</u></em>
90 - 54w
26.
7(8 + x + 2)
<em><u>Distributive property.</u></em>
56 + 7x + 14
<em><u>Combine like terms.</u></em>
70 + 7x
28.
6(10 + z + 3)
<em><u>Distributive property.</u></em>
60 + 6z + 18
<em><u>Combine like terms.</u></em>
78 + 6z
30.
25(x - y)
<em><u>Distributive property.</u></em>
25x - 25y
32.
13(n + 4 + 7m)
<em><u>Distributive property.</u></em>
13n + 52 + 91
Answer:
672 feets
Step-by-step explanation:
Using the solution diagram attached, the vertical height, h of the lighthouse ;
Using trigonometry :
Tanθ = opposite / Adjacent
Tan 2 = h / 804
h = tan 2 * 804
h = 28.076 feets
Using h, we can obtain the distance CB :
Tan θ = opposite / Adjacent
Tan 2 = 28.076 / CB
CB = 28.076 / Tan 12°
CB = 132.08860 feets
Distance between A and B
804 - 132.08860
= 671.9 feets