Expad the expression:
4096x^(6)-18432x^(5)+34560x^(4)-34560x^(3)+19440x^(2)-5832x-729
Answer: x = 10 and y = 3
Step-by-step explanation:
Due to the x rule, (5x - 17) = (3x + 3)
If we add 17 to both sides:
5x = 3x + 20
Take away 3x from both sides
2x = 20
Divide by 2:
X = 10
This means that (5x - 17) = (3x + 3) = 33
Since all angles must add to 360, the top angle = (360- (33*2)) /2
(360-66) /2
294 /2
147
This shows that 9x - 19y = 147
90 - 19y = 147
Minus 90 both sides
19y = 57
Y = 3
So, x = 10 and y = 3
Answer:
temperature on the beach = T2 = 34.56 °C
Step-by-step explanation:
We are given;
P1 = 4.5 atm
T1 = 24 °C = 24 + 273 = 297 K
P2 = 4.66 atm
Thus, P1/T1 = P2 /T2
So, T2 = P2•T1/P1
Thus, T2 = (4.66x 297)/4.5
T2 = 307.56 K
Let's convert to °C to obtain ;
T2 = 307.56 - 273
T2 = 34.56 °C
Answer:
Carl has 35 dimes and 90 quarters
Step-by-step explanation:
Let the number of quarters be q and the number of dimes be d
Total number of coins is 125;
Hence;
q + d = 125 •••••••••(i)
The total value of quarters present = q * 0.25 = 0.25q
The total value of dimes present = d * 0.1 = 0.1d
Adding both gives the total
0.25q + 0.1d =26 ••••••••(ii)
So we need to solve both equations simultaneously;
From i,
q = 125 - d
Substitute this into ii
0.25(125-d) + 0.1d = 26
31.25 -0.25d + 0.1d = 26
31.25 -26 = 0.25d -0.1d
5.25 = 0.15d
d = 5.25/0.15
d = 35
Recall; q = 125 - d = 125 -35 = 90
