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vovikov84 [41]
3 years ago
13

Find the Unit Rate

Mathematics
1 answer:
Eduardwww [97]3 years ago
7 0

Answer:

1) 8.7\ \frac{meters}{hour}

2) 1.92\ \frac{points}{game}

3) 1.25\ \frac{strikeouts}{inning}

4) 1.5*10^{-5}\ \frac{error}{piece}

5) 33.40\ \frac{points}{career\ playoff\ game}

Step-by-step explanation:

1) Convert mixed numbers to decimal numbers dividing the numerator by the denominator and adding the result to Whole number part:

21+0.75=21.75\\\\2+0.5=2.5

The unit rate is:

Unit\ rate=\frac{21.75\ meters}{2.5\ hour}\\\\Unit\ rate=8.7\ \frac{meters}{hour}

2) Divide 2,857 points by 1,487 games:

 Unit\ rate=\frac{2,857 \ points}{1,487\ games}\\\\Unit\ rate=1.92\ \frac{points}{game}

3) Divide 255 strikeouts by 204 innings:

 Unit\ rate=\frac{255\ strikeouts}{204\ innings}\\\\Unit\ rate=1.25\ \frac{strikeouts}{inning}

4) Divide 15 errors by 1,000,000 pieces:

 Unit\ rate=\frac{15\ errors}{1,000,000\ pieces}\\\\Unit\ rate=1.5*10^{-5}\ \frac{error}{piece}

5) Divide 5,979 points by 179 career playoff games:

 Unit\ rate=\frac{5,979\ points}{179\ career\ playoff\ games}\\\\Unit\ rate=33.40\ \frac{points}{career\ playoff\ games}

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Answer:

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Step-by-step explanation:

If the roots are J and K, then:

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J² + K² = 4/9 − 2(-4/3)

J² + K² = 4/9 + 8/3

J² + k² = 28/9

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