Ask question

Ask question

All categories

3 years ago

15

You run 1 mile in 8 minutes at a constant speed. How far do you go in 1 minute? Write an equation to represent how far you can r

un in m minutes. How far can you run in 11 minutes?

1 answer:

Murljashka [212]3 years ago

7 0

You go 0.125 of a mile in 1 minute. So to see how far you are able to go in 11 minutes you must times that by the mile in 1 minute.

So:

0.125x11

You might be interested in

If x – 10 is a factor of x2 – 8x – 20, what is the other factor?

Svetach [21]

Answer:

The other factor is $(x+2)$

Step-by-step explanation:

we know that

$(x-a)(x-b)=x^{2}-xb-xa+ab$

$(x-a)(x-b)=x^{2}-(a+b)x+ab$

In this problem we have

$x^{2} -8x-20$

and

$a=10$ -----> because is a factor

substitute and solve for b

$x^{2} -8x-20=x^{2}-(10+b)x+10b$

so

$8=10+b\\b=-2$

Verify in the second equation

$-20=10b$ -----> $-20=10(-2)$ -----> $-20=-20$ --> is ok

The other factor is $(x+2)$

3 0

3 years ago

Read 2 more answers

Which rational exponent represents a square root?<br> A. 1 / 2<br> B. 3/2<br> C. 1/3<br> D. 1/4

Fofino [41]

Answer:

1/2 rational exponent represents a square root.

Therefore, option A is correct.

Step-by-step explanation:

As we know that raising to the one-half power i.e. $\frac{1}{2}$ is the same

as taking the square root.

so $x^{\frac{1}{2}}$ is the same as the square root of $x$ .

For example, taking the square root of 4 will determine:

$4^{\frac{1}{2}}$

$\mathrm{Factor\:the\:number:\:}\:4=2^2$

$4^{\frac{1}{2}}=\left(2^2\right)^{\frac{1}{2}}$

$\mathrm{Apply\:exponent\:rule}:\quad \left(a^b\right)^c=a^{bc},\:\quad \:a\ge 0$

$\left(2^2\right)^{\frac{1}{2}}=2^{2\cdot \frac{1}{2}}$

so the expression becomes

$4^{\frac{1}{2}}=2^{2\cdot \:\frac{1}{2}}$

$=2^1$

$=2$ ∵ $\mathrm{Apply\:exponent\:rule}:\quad \:a^1=a$

so, 1/2 rational exponent represents a square root.

Therefore, option A is correct.

5 0

2 years ago

Read 2 more answers

The vertex of this parabola is at (-1,-3) which of the following could be its equation

Gnesinka [82]

Since these are parabolas with y being squared, the standard form of such a parabola with vertex at (h, k) is

<span>x = a(y - k)^2 + h </span>

<span>There are no steps. Just look at what is inside the parentheses and compare it to (y - k) with k = -3. </span>
<span>Then look at what is added and compare it to h = -1. </span>

<span>For instance, A has (y + 1) in parentheses. So k = -1. And it has -3 added, so h = -3. That would be a vertex at (-3, -1).</span>

6 0

3 years ago

Read 2 more answers

Stacy is driving at a speed of 48 miles per hour. How many feet is she travelling per minute?

Nonamiya [84]

48(miles/hour)*(1 mi/5280 ft)(1 hour/60 min)
-----
= (48*1*1)/(1*5280*60)(ft/min)

3 0

2 years ago

What is the mean absolute deviation of 7

nikitadnepr [17]

Answer:

Step-by-step explanation:

6 0

2 years ago