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matrenka [14]
3 years ago
13

1. Li needs to buy 2 kilograms of apples. If she buys 9 apples that each weigh approximately 150 grams, will she have enough? Ex

plain.
2. The science class is raising monarch caterpillars. One of the caterpillars weighs 2.3 ounces. About how many grams does the caterpillar weigh? Round to the nearest tenth.

Answer both please.

Mathematics
1 answer:
Lelechka [254]3 years ago
4 0
1. Li will not have enough apples. This is because 9 apples that each weigh approximately 150 grams would weigh a total of 1.35kg.

2. The caterpillar weighs 65.2 grams.

Hope this helps!
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Let's solve your system by substitution.
2
x
−
3
y
=
1
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3
x
+
2
y
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2
x
−
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y
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y
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x
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2
x
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(Divide both sides by 2)
x
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3
2
y
+
1
2

Step: Substitute
3
2
y
+
1
2
for
x
in
3
x
+
2
y
=
6
:
3
x
+
2
y
=
6
3
(
3
2
y
+
1
2
)
+
2
y
=
6
13
2
y
+
3
2
=
6
(Simplify both sides of the equation)
13
2
y
+
3
2
+
−
3
2
=
6
+
−
3
2
(Add (-3)/2 to both sides)
13
2
y
=
9
2
13
2
y
13
2
=
9
2
13
2
(Divide both sides by 13/2)
y
=
9
13

Step: Substitute
9
13
for
y
in
x
=
3
2
y
+
1
2
:
x
=
3
2
y
+
1
2
x
=
3
2
(
9
13
)
+
1
2
x
=
20
13
(Simplify both sides of the equation)

Answer:
x
=
20
13
and
y
=
9
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