3 years ago

A lap around a track is 2/5 of a mile. how many laps is a 1 1/2 mile race?

Mathematics

2 answers:

taurus [48]3 years ago

8 0

Answer: 3 3/4

Step-by-step explanation:

1 1/2=3/2, so 3/2 divided by 2/5 is 15/4 which is 3 3/4

sergiy2304 [10]3 years ago

4 0

Answer:

3 3/4

Step-by-step explanation:

3/2/2/5 = 15/4

15/4 = 3 3/4

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Step-by-step explanation:

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alexgriva [62]

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3 years ago

The 17th term of an Arithmetic sequence is 51. If the commons difference is 7, what is the first term ?

vovikov84 [41]

Answer:

The first term is:

$a_1=-61$

Step-by-step explanation:

The arithmetic sequence is defined by

$a_n=a_1+\left(n-1\right)d$

where

$a_1$ is the first term

$d$ is the common difference

the 17th term of an arithmetic sequence is 51.

i.e. $a_{17}=51$

$a_n=a_1+\left(n-1\right)d$

$a_{17}=a_1+\left(17-1\right)d$

$51=a_1+\left(17-1\right)7$ ∵ $n = 17$ , $a_{17}=51$ , $d=7$

$a_1+112=51$ ∵ $\left(17-1\right)\cdot \:\:7=112$

$a_1=-61$

Therefore, the first term is:

$a_1=-61$

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3 years ago

What is the solution to the equation fraction 1 over 4x = 5?

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$\displaystyle \frac{1}{4x}=5\quad \Big|\cdot 4x\\\\1=20x\quad\Big|:20\\\\x= \frac{1}{20}$

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3 years ago