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3 years ago

What is the miles travel in 5 hours at a rate of 189 miles in 3 hours

Mathematics

2 answers:

11111nata11111 [884]3 years ago

4 0

315 miles in 5 hours.

MissTica3 years ago

3 0

Ratio=distance / time ⇒ distance=rate x time
Data:
ratio=189 miles/3 hours=63 miles/hours
Time=5 hours

distance=(63 miles/hours)(5 hours)=315 miles.

Answer: 315 miles

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lesantik [10]

B hope that helped you

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3 years ago

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dybincka [34]

i) The given function is

$f(x)=\frac{(2x+1)(x-5)}{(x-5)(x+4)^2}$

The domain is

$(x-5)(x+4)^2\ne 0$

$(x-5)\ne0,(x+4)^2\ne 0$

$x\ne5,x\ne -4$

ii) For vertical asymptotes, we simplify the function to get;

$f(x)=\frac{(2x+1)}{(x+4)^2}$

The vertical asymptote occurs at

$(x+4)^2=0$

$x=-4$

iii) The roots are the x-intercepts of the reduced fraction.

Equate the numerator of the reduced fraction to zero.

$2x+1=0$

$2x=-1$

$x=-\frac{1}{2}$

iv) To find the y-intercept, we substitute $x=0$ into the reduced fraction.

$f(0)=\frac{(2(0)+1)}{(0+4)^2}$

$f(0)=\frac{(1)}{(4)^2}$

$f(0)=\frac{1}{16}$

v) The horizontal asymptote is given by;

$lim_{x\to \infty}\frac{(2x+1)}{(x+4)^2}=0$

The horizontal asymptote is $y=0$ .

vi) The function has a hole at $x-5=0$ .

Thus at $x=5$ .

This is the factor common to both the numerator and the denominator.

vii) The function is a proper rational function.

Proper rational functions do not have oblique asymptotes.

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2 years ago

Donovan took a math test and got 20 correct questions and 5 incorrect answers. What was the percentage of correct answers?

solong [7]

ANSWER

80%

EXPLANATION

Donovan got 20 questions correct and 5 questions incorrect.

This means that the total number of questions he attempted in the test is the sum of correct and incorrect questions:

Total = 20 + 5

Total = 25

To find the percentage of correct answers, we have to divide the number of correct answers by the total number of questions attempted and multiply by 100 (per cent).

That is: