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yKpoI14uk [10]
2 years ago
15

Reggie, Alvin, and Jose are member of a relay running team. Reggie finished his leg of the race 2.45 seconds faster than Alvin a

nd 3.81 seconds slower than Jose. If Reggie's time for his leg of the race was 57.12 seconds. What was the total time for the team? Show your work.
Mathematics
1 answer:
lorasvet [3.4K]2 years ago
8 0
From the given, we expressed the time that each of the team members ran in mathematical expression.
 
                Reggie = 57.12 seconds
                 Alvin = 57.12 + 2.45 seconds = 59.57 seconds
                 Jose = 57.12 - 3.81 seconds = 53.31 seconds
We then sum up all the time we calculate to determine the total time for the team. The answer is therefore 170 seconds. 
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Answer:

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Step-by-step explanation:

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Answer:

\frac{7}{10} |

Step-by-step explanation:

STEP 1:

2/3 + 7/10 = ?

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

LCD(2/3, 7/10) = 30

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

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The two fractions now have like denominators so you can add the numerators.

Then:

\frac{20+21}{30} = \frac{41}{30}

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The fraction 41/30

is the same as

41 divided by 30

Convert to a mixed number using

long division for 41 ÷ 30 = 1R11, so

41/30 = 1 11/30

Therefore:

2/3+7/10= 1 11/30

STEP 2:

41/30 + -2/3

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

LCD(41/30, -2/3) = 30

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

(\frac{41}{30} *\frac{1}{1} ) + ( \frac{-2}{3} * \frac{10}{10} )

The two fractions now have like denominators so you can add the numerators.

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This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 21 and 30 using

GCF(21,30) = 3

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Therefore:

\frac{41}{30} + \frac{-2}{3} =\frac{7}{10}|

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Answer:

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