Step-by-step explanation:
3h+11/4h+16=19/26
78h+286=76h+304
12h=18
h=3/2
first speed --- x mph
return speed -- x+16 mph
6/x + 6/(x+16) = 1
times each term by x(x+16)
6(x+16) + 6x = x(x+16)
x^2 + 4x - 96 = 0
(x-8)(x+12) = 0
x = 8 or x is a negative
her first speed was 8 mph
her return speed was 24 mph
check:
6/8 + 6/24 = 1 , that's good!
Answer: 8
Step-by-step explanation:
distributive property = -18 + 3r = 6
cross river = 3r = 6 + 18
add = 3x = 24
lastly, divide = 8
Answer:
x < -10/3 OR x > 20/3
Step-by-step explanation:
|5 - 3x| - 3 > 12
|5 - 3x| > 15
since it's absolute value, you have 2 scenarios to solve:
1) 5 - 3x > 15
-3x > 10
x < -10/3 (when dividing or multiplying by a negative, switch the symbol)
2) -(5 - 3x) > 15
-5 + 3x > 15
3x > 20
x > 20/3