The boxes weigh 12 pounds and 20 pounds respectfully. We found this by setting up and solving an equation based on the problem's parameters.
Let's assume the lighter box weighs 'x' pounds, this makes the heavier box weigh 'x+8' pounds. According to the problem, the total weight of both boxes that the mail truck picks up from the post office is 32 pounds. So, we can set up the following equation: x + (x+8) = 32. Solving this equation we get 2x = 24, which means x = 12. So, one box weighs 12 pounds and the other box, which is 8 pounds heavier, weighs 20 pounds.
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Answer:
487 seconds
Step-by-step explanation:
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Answer:
Step-by-step explanation:
Answer:
x
=
π
3
,
2
π
3
,
4
π
3
,
5
π
3
Explanation:
(
sin
x
)
2
=
3
(
cos
x
)
2
(
sin
x
)
2
=
3
(
1
−
(
sin
x
)
2
)
(
sin
x
)
2
=
3
−
3
(
sin
x
)
2
4
(
sin
x
)
2
=
3
(
sin
x
)
2
=
3
4
sin
x
=
±
(
√
3
2
)
x
=
π
3
,
π
−
π
3
,
π
+
π
3
,
(
2
π
)
−
π
3
x
=
π
3
,
2
π
3
,
4
π
3
,
5
π
3
If this was in the region
0
≤
x
≤
2
π
that is, on the interval [0, 2π].
4x-10y=-20 /*(-3)
6x-15y=-30 /*2
-12x+30y=60
12x-30y=-60
+-------
0=0
C.
Answer:
infinitely many solution