Ask question

Ask question

All categories

3 years ago

9

Nia is training for a marathon. Her average speed during training so far is 5.8 miles per hour. If she runs at that rate for a t

raining run that is 1 hour and 12 minutes long, how far will Nia run?
A. 4.83 miles

B. 6.96 miles

C. 7.25 miles

D. 4.64 miles

1 answer:

Rudik [331]3 years ago

4 0

Answer:

Step-by-step explanation:

5.8miles an hour = 5.8/60miles per minute = 0.0967miles per minute.

1hr and 12minutes = 72minutes

The total distance covered = 72 * 0.0967 = 6.9624miles

That's approximately 6.96miles or option B.

You might be interested in

Find a fraction that is equivalent to 2/4. (Write three fractions.)

NikAS [45]

Answer:

1/2 3/6 4/8 and 5/10 because all are equivalent to 2/4

6 0

2 years ago

The first three terms of an arithmetic series are 6p+2, 4p²-10 and 4p+3 respectively. Find the possible values of p. Calculate t

Doss [256]

Answer:

First Case:

$\displaystyle p=\frac{5}{2}\text{ and } d=-2$

Second Case:

$\displaystyle p=-\frac{5}{4}\text{ and } d=\frac{7}{4}$

Step-by-step explanation:

We know that the first three terms of an arithmetic series are:

$6p+2, 4p^2-10, \text{ and } 4p+3$

Since this is an arithmetic sequence, each subsequent term is <em>d</em> more than the previous term, where <em>d</em> is our common difference.

Therefore, we can write the second term as;

$4p^2-10=(6p+2)+d$

And, likewise, for the third term:

$4p+3=(6p+2)+2d$

Let's solve for <em>d</em> for each of the equations.

Subtracting in the first equation yields:

$d=4p^2-6p-12$

And for the second equation:

$2d=-2p+1$

To avoid fractions, let's multiply the first equation by 2. Hence:

$2d=8p^2-12p-24$

Therefore:

$8p^2-12p-24=-2p+1$

Simplifying yields:

$8p^2-10p-25=0$

Solve for <em>p</em>. We can factor:

$8p^2+10p-20p-25=0$

Factor:

$2p(4p+5)-5(4p+5)=0$

Grouping:

$(2p-5)(4p+5)=0$

Zero Product Property:

$\displaystyle p_1=\frac{5}{2} \text{ or } p_2=-\frac{5}{4}$

Then, we can use the second equation to solve for <em>d</em>. So:

$2d_1=-2p_1+1$

Substituting:

$\begin{aligned} 2d_1&=-2(\frac{5}{2})+1 \\ 2d_1&=-5+1 \\ 2d_1&=-4 \\ d_1&=-2\end{aligned}$

So, for the first case, <em>p</em> is 5/2 and <em>d</em> is -2.

Likewise, for the second case:

$\begin{aligned} 2d_2&=-2(-\frac{5}{4})+1 \\ 2d_2&=\frac{5}{2}+1 \\ 2d_2&=\frac{7}{2} \\ d_2&=\frac{7}{4}\end{aligned}$

So, for the second case, <em>p </em>is -5/4, and <em>d</em> is 7/4.

By using the values, we can determine our series.

For Case 1, we will have:

17, 15, 13.

For Case 2, we will have:

-11/2, -15/4, -2.

8 0

3 years ago

What is the midpoint between the following two points

qwelly [4]

Answer:

B, (6,0)

Take the average of the x values and the average of the y values:

(3+9)/2 = 6

(-2+2)/2 = 0

This means the answer (the average (midpoint) of the two points) is (6,0)

5 0

4 years ago

What is the slope of the line that passes through the points (-1, -7) and

Kay [80]

Answer:

-2

Step-by-step explanation:

slope formula= (y2-y1)/(x2-x1)

(-1,-7) is (x1,y1)

(-2,-5) is (x2,y2)

Plug in numbers into slope equation

((-5)-(-7))/((-2)-(-1)) = 2/-1

Simplify

answer= -2

4 0

3 years ago

WILL GIVE BRAINLIEST

ivanzaharov [21]

$\frac{3x^3+9x^2-6x}{-3x}$
Since the denominator is a monomial, we divide each term of the trinomial in the numerator by the denominator.
$\frac{3x^3}{-3x} = -1x^2$ , because 3/-3 = 1 and x³/x = x².
$\frac{9x^2}{-3x}=-3x$ ; 9/-3 = -3 and x²/x = x.
$\frac{-6x}{-3x} = 2$ ; -6/-3 = 2 and x/x = 1, so we have 2*1 = 2.
Together this gives us $-x^2-3x+2$

7 0

4 years ago