Answer:
(2, 7) is the correct ordered pair.
Step-by-step explanation:
5x + 3y = 31
2x + 3y = 25 Subtract to eliminate the y variable:
3x = 6
x = 6/3
x = 2.
Substitute x = 2 in the first equation:
5*2 + 3y = 31
3y = 31-10 = 21
y = 21/3
y = 7.
Check the result by substituting for x and y in the second equation:
2(2) + 3(7) = 25
4 + 21 = 25
25 = 25.
The exponent 4 needs to be applied to both 3 and x, so we would have:
3 * 3 * 3 * 3 * x^4.
9 * 9 * x^4.
81x^4
Answer:
20
Step-by-step explanation:
Total no = 75
N (P) = 48 , N (H) = 45 , N (T) = 58
N (P∩H) = 28 , N (H∩T) = 37 , N (P∩T) = 40
N (P∩H∩T) = 25
Total no = N (P) + N (H) + N (T) - N (P∩H) - N (H∩T) - N (P∩T) + N (P∩H∩T) + neither
75 = 48 + 45 + 58 - 28 - 37 - 40 + 25 + neither
75 = 71 + neither → neither = 4
N (only P) = N (P) - N (P∩H) - N (P∩T) + N (P∩H∩T) = 48 - 28 - 40 + 25 = 5
N (only H) = N (H) - N (P∩H) - N (H∩T) + N (P∩H∩T) = 45 - 28 - 37 + 25 = 5
N (only T) = N (T) - N (H∩T) - N (P∩T) + N (P∩H∩T) = 58 - 37 - 40 + 25 = 6
So, total liking either one or neither = 4 + 5 + 5 + 6 = 20
Answer:
r = - 
Step-by-step explanation:
The n th term of a GP is
= a₁ 
where a₁ is the first term and r the common ratio
Here a₁ = 18 and a₆ = - 
, then
18 
= - ( divide both sides by 18 )
= - 
( take the fifth root of both sides )
r = ![\sqrt[5]{-\frac{1}{243} }](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7B-%5Cfrac%7B1%7D%7B243%7D%20%7D)
= -
Answer:
3:15 pm
Step-by-step explanation:
You can imagine that they go in a circle (we can do whatever we want in theoretical math and physics). By doing so we know we can obtain a cosinusoidal wave by projecting the motion on a plane. Each one of the buses has a period (minimum time after what they're in the same point again). For the first one it's 15 minutes, for the second one it's 20 minutes. We have to take the least common multiple of the periods, that is 75 minutes. So They'll meet every 75 minutes. Add 75 minutes (1h and 15 minutes) to 2pm and there you go.
