Answer:
x=−1 or x=−6
Step-by-step explanation:
Multiply all terms by x and cancel:
xx+6=−7x
x2+6=−7x(Simplify both sides of the equation)
x2+6−−7x=−7x−−7x(Subtract -7x from both sides)
x2+7x+6=0
(x+1)(x+6)=0(Factor left side of equation)
x+1=0 or x+6=0(Set factors equal to 0)
x=−1 or x=−6
Check answers. (Plug them in to make sure they work.)
x=−1(Works in original equation)
x=−6(Works in original equation)
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Answer:
x > 133/45
WORKING :
Multiply the number : 4 . 6 = 24
24(9-x) - 6 (4 - 7x) > 5 (1 - 2x) - 8x + 9 (6-x)
expand 24(9 - x) - 6(4 -7x) : 18x + 192
expand 5(1-2x) - 8x + 9(6-x) : - 27x + 59
18x + 192 > -27x + 59
subtract 192 from both sides
18x + 192 - 192 > -27x + 59 - 192
simplify
18x > -27x - 133
add 27x to both sides
18x + 27x > - 27x - 133 + 27x
simplify
45x > - 133
Divide both sides by 45
45x/45 > 133/45
Simplify
x > 133/45
FINALLY ANSWER :
X > 133/45
Answer:
<u>25/7, 1.87, </u><u>3.25</u><u>,</u><u> </u><u>and</u><u> </u><u>2</u><u>2</u><u>/</u><u>7</u>
Step-by-step explanation:
16 < 15x - 12
__________
+12. +12
__________
28 < 15x
__________
÷15 ÷15
__________
28/15 < x
__________
<u>x > 28/15</u>
__________
this is true for any number greater than 1 and 13/15 = 1.8666......
Answer:
Section A = 25,000 seats
Section B = 14,600 seats
Section C = 10,400 seats
Step-by-step explanation:
Total Seats = 50,000
Seats in Section A cost = $30
Seats in Section B cost = $24
Seats in Section C cost = $18
Total sales from the event = $1,287,600
No. of Seats in section A = No. seats in Section B + No. seats in Section C
A = B + C
or, 2A = 50,000
A = 25,000 seats @ $30/seat = $750,000
B + C = 25,000
24B + 18C = 537,600
24B + 18(25,000 - B) = 537,600
24B + 450,000 - 18B = 537,600
6B = 87600
B = 14,600
C = 10,400
Hence;
A = 25,000 seats
B = 14,600 seats
C = 10,400 seats
