Answer:42.5 G
Step-by-step explanation:To estimate the mass of 10,000 peanuts, you can use the given information about the mass of 2,000 peanuts.
Given that the mass of 2,000 peanuts is about
4
45
10
4
10
45
grams, let's first convert the mixed number to an improper fraction:
4
45
10
=
(
4
×
10
)
+
45
10
=
85
10
=
8.5
4
10
45
=
10
(4×10)+45
=
10
85
=8.5
So, the mass of 2,000 peanuts is 8.5 grams.
Now, to estimate the mass of 10,000 peanuts, you can use proportionality:
Mass of 10,000 peanuts
=
(
10
,
000
2
,
000
)
×
Mass of 2,000 peanuts
Mass of 10,000 peanuts=(
2,000
10,000
)×Mass of 2,000 peanuts
=
(
10
,
000
2
,
000
)
×
8.5
=(
2,000
10,000
)×8.5
=
5
×
8.5
=5×8.5
=
42.5
=42.5
Therefore, a reasonable estimate for the mass of 10,000 peanuts would be 42.5 grams.