Answer:
x = 14
Step-by-step explanation:
2(4x+1) + (5x-4) = 180
13x-2=180
x = 182/13 = 14
It is an isoceles triangle, so D = E
F = 66
D = E = 57
(82 + 78 + 82 + 77 + x) / 5 = 80
319 + x = 80 * 5
319 + x = 400
x = 400 - 319
x = 81 <== she can get an 81 on it and still get a B
1.75-1.25=0.5, prices increased by $0.5
X% of 1.25 is 0.5. X% *1.25=0.50
X%=0.5/1.25=0.4
Price increased by 40%
#11: First term is 2. Formula for the (n+1)th term is (previous term) + 3.
Thus, we have 2, 5, 8, 11, 14, ... This is an arithmetic sequence with common difference 3.
#12 First term is -4. Formula for the (n+1)th term is (previous term) + n^2.
Second term (n=2): -4 + (2^2) = 0
Third term (n=3) : 0+3^2 = 9
Fourth term (n=4): 9 + 4^2 = 25
Fifth term (n=5) : 25 + 5^2 = 50
First convert 4.5 hours to minutes
4.5 hours = 270 minutes
6:30 = ?:270
Divide 270 and 30
270/30 = 9
Then multiply 6 and 9
9*6 = 54
The event planner can set up 54 tables in 4.5 hours(270 minutes)
54 tables