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2 years ago

Emily can walk 3/4 of a mile in 1/4 of an hour.

Mathematics

1 answer:

ExtremeBDS [4]2 years ago

3 0

Answer:

20 minutes

Step-by-step explanation:

Method 1:

(0.75)/(0.25)=(1)/(x)

0.75*1.333333=1, so multiply 0.25 by 1.333333 to find the value of x!

0.25*1.333333=0.33333, or one-third of an hour, or 20 minutes.

Method 2:

(0.75)/(0.25)=(1)/(x)

Cross-multiply

0.75x=0.25

(0.25)/(0.75)=x

x=0.33333 hours

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Use the explicit formula an = a1 + (n – 1) • d to find the 250th term of the sequence below. 57, 66, 75, 84, 93, ...

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The general term of an arithmetic sequence is,

$a_{n} =a_{1} +(n-1)d$

Where , $a_{n}$ = nth term.

$a_{1}$ = First term

and d = common difference.

The given sequence is: 57, 66, 75, 84, 93, ...

Here $a_{1}$ = 57,

d = 66 - 57 = 9

We need to find the 250th term. So, n = 250.

Next step is to plug in these values in the above formula. Therefore,

$a_{250} =57 +(250-1)*9$

= 57 + 249 * 9

= 57 + 2241

= 2298

Therefore, 250th of this sequence is 2298

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