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alexdok [17]
3 years ago
8

1000 jumps in 3 hours. How many jumps are there per hour?

Mathematics
2 answers:
lesantik [10]3 years ago
7 0
333 jumps per hour. really 333.33

DiKsa [7]3 years ago
6 0
Just multiply 1000 jumps by 3 to get your answer.
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The Ratio of two numbers is 3/5, and their sum is 104. What are the 2 numbers?
Rom4ik [11]

Answer:

39 and 65

Step-by-step explanation:

the ratio of the two numbers is 3 : 5

sum the parts of the ratio, 3 + 5 = 8 parts

divide the sum by 8 to find the value of one part of the ratio

104 ÷ 8 = 13 ← value of 1 part of the ratio , then

3 parts = 3 × 13 = 39

5 parts = 5 × 13 = 65

the two numbers are 39 and 65

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3 years ago
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The sum of an infinite geometric series is three times the first term. Find the common ratio of this series.
adelina 88 [10]

Answer:

\frac{2}{3}

Step-by-step explanation:

The sum of an  infinite geometric series is expressed according to the formula;

S_\infty = \dfrac{a}{1-r} where;

a is the first term of the series

r is the common ratio

If the sum of an infinite geometric series is three times the first term, this is expressed as S_\infty = 3a

Substitute S_\infty = 3a into the formula above to get the common ratio r;

3a = \dfrac{a}{1-r} \\\\

cross \ multiply\\\\3a(1-r) = a\\\\3(1-r) = 1\\

open the parenthesis

3 - 3r = 1\\\\

subtract 3 from both sides

3 - 3r -3= 1-3\\\\-3r = -2\\\\r = \frac{2}{3}

<em>Hence the common ratio of this series is </em>\frac{2}{3}<em></em>

3 0
3 years ago
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olasank [31]

Answer:

19/42

Step-by-step explanation:

multiply each fraction by the opposite denominator to get the same denominator for both 12+7=19 &6×7=42

8 0
3 years ago
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