Answer:
4.9 hours = 4 hours 54 minutes
Step-by-step explanation:
speed = distance/time
time * speed = distance
time = distance/speed
time = (284 miles)/(58 mph) = 4.9 hours
4.9 hours - 4 hours = 0.9 hours
0.9 hours * (60 minutes)/(1 hour) = 54 minutes
4.9 hours = 4 hours 54 minutes
Step-by-step explanation:
2x = y-10
Rewrite as: 2x + 10 = y
Therefore:
2x+10 = y
2x +7 = 2y
Subtract the equations:
2x + 10 = y
- 2x + 7 = 2y
______________
3 = -y
Therefore y = -3
Substiture y = -3 into the second equation:
2x + 7 = 2(-3)
2x + 7 = -6
2x = -13
x= -6.5
Answer : (-6.5, -3)
Answer:
(3x+1)(5x-2)
Step-by-step explanation:
Given the expression
15x^2-6x+5x-2
Factorize;
3x(5x-2)+ 1(5x-2)
(3x+1)(5x-2)
Hence the factorized form is (3x+1)(5x-2)
3*3+4*4=x*x and 9+16=25 so x is 5 and then add other sides so 5+8+4+5
MrBillDoesMath!
Answer to #4: 81/256 * s^8 * t^ 12
Comments:
(7x^3) ^ (1/2) = 7 ^ (1/2) * x^(3/2) where ^(1/2) means the square root of a quantity. The answer written (7x^3) is NOT correct.
---------------------
(1) (27s^7t^11)^ (4/3)
= 27^(4/3) * (s^7)^(4/3) * (t^11)^ (4/3)
As 27 = 3^3, 27 ^(4/3) = 3^4 = 81
(2) (-64st^2)^ (4/3) = (-64)^(4/3) * (s^4/3) * t(^8/3)
As 64 = (-4)^3, (-64)^(4/3) = (-4)^4 = +256
So (1)/(2) =
81 * s^(28/3)* t^(44/3)
------------------------------- =
256 s^(4/3) * t^((8/3)
81/256 * s ^ (28/3 - 4/3) * t^(44/3 - 8/3) =
81/256 * s^(24/3) * t (36/3) =
81/256 * s^8 * t^ 12
MrB
