The unit rate here is 2 pounds of trash in an hour. If two pounds of trash are picked up in an hour, we can multiply that by 3 and get that there will be 6 pounds picked up in 3 hours.
Answer:
A
Step-by-step explanation:
to solve absolute value inequalities you must solve it for when the absolute value is positive and then when it is negative
example, |4| = 4 and -4
first solution will be when we're solving for the positive value:
+(-4x+7) ≥ 27
-4x + 7 ≥ 27
-4x ≥ 20
x ≤ -5 [reverse the symbol when mult or div by a negative]
-(-4x+7) ≥ 27
4x - 7 ≥ 27
4x ≥ 34
x ≥ 34/4 or x ≥ 8 1/2
solution: x ≤ -5 or x ≥ 8.5
D - the shortest distance from the ship to the shore.
d / ( 17 - x ) = tan 32° = 0.62487
d / x = tan 53° = 1.32704
d = 0.62487 ( 17 - x )
d = 1.32704 x
0.62487 ( 17 - x ) = 1.32704 x
10.62279 - 0.62487 x = 1.32704 x
x = 10.62279 : 1.95191
x = 5.44226 miles
d = 5.44226 · 1.32704
Answer:
d = 7.222 miles
Because if you multiply 2 different irrational numbers (like the following)

You will get an irrational answer.
BUT
if you multiply the same square root (which are both irrational, you get a rational number)