2 years ago

Find the unit rate. 5/8 mile in 1/4 hour

1 answer:

5 0

Answer

The unit rate in miles per hour is 2.5 mph.

Step-by-step explanation:

1/4 x 4 = 1 hour
5/8 x 4 = miles that would have been covered in one hour
20/8 of a mile would have been covered in one hour
20/8 = 2.5
2.5 miles would have been covered in an hour, with which his speed was 2.5 mph.

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How many terms are in the arithmetic sequence 1313, 1616, 1919, ……, 7070, 7373?

Ede4ka [16]

The formula in getting the arithmetic sequence:
an = a1<span> + (n – 1)d.
</span>
We can substitute the values in order for us to know how many terms the sequence has.

an = 7373
a1 = 1313
d = 303

an = a1<span> + (n – 1)d
</span>7373 = 1313 + (n-1) 303
7373 = 1313 + 303n - 303
-303n = 1313 - 303 - 7373
303n = -1313 + 303 + 7373
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So, there are 21 terms in the sequence given.

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Step-by-step explanation:

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1 year ago

Given f(x) = 4x + 2, find f-1(3).

Alexxandr [17]

Answer:

1/4

Step-by-step explanation:

The inverse function tells you the input value that corresponds to the given output value of the function.

<h3>Application</h3>

You want f^-1(3), which is the value of x such that f(x) = 3.

f(x) = 3 = 4x +2

1 = 4x . . . . . . subtract 2

1/4 = x . . . . . divide by 4

The inverse function of 3 is 1/4:

$\boxed{f^{-1}(3)=\dfrac{1}{4}}$

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