All categories

3 years ago

A river flows at the rate of 30 feet per minute what is the rate in seconds per foot

1 answer:

8 0

30 ft/ minute=30 ft/ minute*(1 minute / 60 s)=0.5 ft/s
rate in seconds per foot=1 / (0.5 ft/s)=2 s/ ft.

Answer:2 s/ft.

You might be interested in

(X^2+x-6)(2x^2+4x) factor completely

MissTica

Answer:

$2x\left(x-2\right)\left(x+3\right)\left(x+2\right)$

Step-by-step explanation:

Lets go ahead and take a step by step approach to solving your problem.

First we must start by factoring $x^2+x-6$ .

To do this, we must break the expression into groups! Although I will also provide a definition to help you understand! For $ax^2+bx+c$ we need to find u, v > $u\cdot \:v=a\cdot \:c$ and $u+v=b$ which we will group into $\left(ax^2+ux\right)+\left(vx+c\right)$ .

The values we have are... $a=1,\:b=1,\:c=-6$ and $u\cdot v=-6,\:u+v=1$ .

Now we need the factors of 6 which are 1, 2, 3 and 6. We also need the negative factors which you get simply by multiplying the positives by -1 or just reversing them.

Now we need to check for every two factors if u + v = 1.

$\mathrm{Check}\:u=1,\:v=-6: \:u\cdot v=-6,\:u+v=-5 \Rightarrow \mathrm{False}$

$\mathrm{Check}\:u=2,\:v=-3: \:u\cdot v=-6,\:u+v=-1 \Rightarrow \mathrm{False}$

$\mathrm{Check}\:u=3,\:v=-2: \:u\cdot v=-6,\:u+v=1 \Rightarrow \mathrm{True}$

$\mathrm{Check}\:u=6,\:v=-1: \:u\cdot v=-6,\:u+v=5 \Rightarrow \mathrm{False}$

Therefore $u=3,\:v=-2$ .

Now we want to $\mathrm{Group\:into\:}\left(ax^2+ux\right)+\left(vx+c\right)$ . Which is $\left(x^2-2x\right)+\left(3x-6\right)$ .

Now we must factor x from $x^2-2x$ .

Lets apply the exponent rule of $a^{b+c}=a^ba^c$ which means $x^2=xx$ .

Therefore we now have xx - 2x. Lets factor out the common term of x to get x(x - 2).

Now factor 3 out of $3x-6$ .

Rewrite 6 as 3 * 2. $3x-3\cdot \:2$ .

Now factor out the common term of 3 > $3\left(x-2\right)$ .

$x\left(x-2\right)+3\left(x-2\right)$ > Factor out the common term of x - 2 > $\left(x-2\right)\left(x+3\right)$ .

Now lets factor $2x^2+4x$ .

Apply the previous exponent rule of $a^{b+c}=a^ba^c$ > $x^2=xx$ > $2xx+4x$ .

Now rewrite 4 as 2 * 2 > $2xx+2\cdot \:2x$ .

Now factor out the common term of 2x to get 2x(x + 2).

Combine it all and we get $2x\left(x-2\right)\left(x+3\right)\left(x+2\right)$ .

Hope this helps!

7 0

3 years ago

MATH HELP ASAP!! MARKING BRAINLIST

Hunter-Best [27]

Answer:

f(2)=0

Step-by-step explanation:

f(2)=2x-4

2(2)-4

4-4

6 0

3 years ago

Read 2 more answers

Write the repeating decimal as a fraction. 0.(Shown above)

gulaghasi [49]

For this case we must find a fraction such that its result is given by a decimal of the form:

$0.370370370$ , that is, a repeated decimal.

Option A:

$\frac {37} {27} = 1.37037037$

Option B:

$\frac {10} {37} = 0.27027027$

Option C:

$\frac {37} {1000} = 0.037$

Option D:

$\frac {10} {27} = 0.37037037$

So, the correct option is D

Answer:

Option D

8 0

4 years ago

Kenya exchanges $150 for british pounds(£). Suppose the conversion rate is £1=$1.60. How many pounds should she receive?

Natasha2012 [34]

Actually you would need to divide $150 by $1.60 because the U.S. dollar is over one and a half times the amount of the british pound. So, you would have a lot less British pounds than U.S. dollars and you would end up with £93.75.

5 0

4 years ago

When making a trail mix, George mixes 51 peanuts with 17 almonds. How many peanuts are in Georges trail mix for every one almond

Ulleksa [173]

Answer:

Step-by-step explanation:

51 ÷ 17 = 3

I don't know if I understood the question correctly, but let me know if it was right and it helped! :)

3 0

3 years ago