Answer:
27 4th root (x^3)
Step-by-step explanation:
(81x) ^ 3/4
We know (ab) ^c = a^c b^c
81 ^ (3/4) * x^3/4
We can rewrite 81 as 3^4
(3^4)^(3/4) * x^3/4
We know that a^b^c = a^ (b*c)
3^(4*3/4) * x^3/4
3^(3) * x^3/4
27 * x^3/4
27 4th root (x^3)
Answer:
16 mph
Step-by-step explanation:
Givens:
4 hours total time
48 miles total distance
So our equation should look like this.
48 = 2x(2) + x(2)
Where x = speed second half of trip.
x = 8
x*2 = 16 mph
Answer:
b=2
Step-by-step explanation:
-12+3b-1=-5-b
Combine like terms
-13 +3b = -5-b
Add b to each side
-13+3b+b = -5-b+b
-13+4b = -5
Add 13 to each side
-13+13 +4b = -5+13
4b = 8
Divide by 4
4b/4 = 8/4
b = 2
Answer:
y=3r+5
Step-by-step explanation:
Break up the sentance.
Capon city has 5 more than 3 times as many residents as harbor city.
The sentance above can be written like this: y=5+3x. Since they want r to represent the number of people in Harbor city, use r in place of x.
Capon city=y
has=equal sign
5 more=+5
3 times as many=3r
y=3r+5
Write two equations with the given information:
1) x = 2y ( x is twice the value of y)
2) x + y = 42
Replace x in the second equation with the value of x in the first equation:
2y + y = 42
Simplify:
3y = 42
Divide both sides by 3:
y = 42 / 3
y = 14
Now we have the value for Y, solve for x by replacing y with 14:
x = 2y
x = 2(14)
x = 28
X = 28 and y = 14
