What is the answer to " What do electrons wear on their feet"?

Josh can split a truckload of logs in 8 hours, but working with his dad, they can get it done in 3 hours. How long would it take

lawyer [4008]

Result: 4.8 hours

Detailed explanation:

Josh: $\frac{1}{8}$

Father: $\frac{1}{x}$

Together: $\frac{1}{3}$

Josh plus Dad equals Together

$\frac{1}{8}$ + $\frac{1}{x}$ = $\frac{1}{3}$

$\frac{1}{8}*(24x)$ + $\frac{1}{x}*(24x)$ = $\frac{1}{3}$ (24x)

3x + 24 = 8x

-3x -3x

24 = 5x

÷5 ÷5

4.8 = x

3 0

6 days ago

A gallon of stain is enough to cover 200 square feet of decking. Bradley has two areas of decking he would like to cover with st

Svet_ta [4321]

He will require a minimum of 2 gallons of the stain, although he won't utilize the entire second gallon.

4 0

1 day ago

Read 2 more answers

Which shows one way to determine the factors of 4x3 + x2 – 8x – 2 by grouping?

Leona [4166]

Keep in mind that when factoring by grouping, we should divide the expression into two pairs that share some commonality. The goal is to create a common binomial factor after we factor each pair. It's important to mention that there can be multiple ways to pair the factors.

Let's explore the method of finding the factors of our expression through grouping:

Step 1. Identify shared multiples among the terms.

We can see that 4 and 8 are multiples of 2, 8 is a multiple of 4, and all are multiples of 1, suggesting various pairing options.

Step 2. Identify common variables.

Typically, we should pair variables that have the highest exponents to ensure that when factoring each group, we derive another common binomial factor.

Step 3. Factor each group; if it leads to another common binomial factor, you did it correctly. If it doesn't, try again.

Let's use these steps on our expression $4x^3+x^2-8x-2$

For step 1, we are grouping $4x^3$ and $-8x$ . Don't forget to pair the leftover factors too.

$(4x^3-8x)+(x^2-2)$

The common factor for the first group is $4x$ , which we will factor out.

$4x(x^2-2)+(x^2-2)$

Look at that! We obtained the common binomial factor $(x^2-2)$ . Sadly, $4x(x^2-2)+(x^2-2)$ isn't among our provided choices, so we'll attempt this again:

This time, let's group the higher variables from step 2: $4x^3$ and $x^2$

$4x^3+x^2-8x-2$

$(4x^3+x^2)+(-8x-2)$

The common factor in the first group turns out to be $x^2$ , and in the second one, it's -2, so we'll factor both of them out:

$(4x^3+x^2)+(-8x-2)$

$x^2(4x+1)-2(4x+1)$

Now, we have chosen option A.

Therefore, we can conclude that the correct answer is: A) x2(4x + 1) – 2(4x + 1)

3 0

11 days ago

There are 13 teams in a tournament. Each team is to play with each other only once. What is the minimum number of days can they

Leona [4166]

For team one, they have to compete against 12 different teams, which amounts to 12 days of play.

Team two, which has already played team one, will only need to participate in 11 more days.

Team three has already faced teams one and two, leaving them with 10 additional days.

Continuing this pattern results in a total of 12 + 11 + 10 + 9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 = 78 days.

Alternatively, you can calculate the number of unique matches as 13*12 / 2! = 78.

Another way is by calculating combinations of 13 taken 2 at a time: 13C2 = 13! / [(2!)(11!)] = 13*12*11! /(2!*11!)= 13*12/2 = 78.

6 0

8 days ago

The polynomial 24x3 − 54x2 + 44x − 99 is factored by grouping. 24x3 − 54x2 + 44x − 99 24x3 + 44x − 54x2 − 99 4x(____) − 9(____)

Leona [4166]

Answer: $6x^2+11$

Step-by-step explanation:

For the polynomial of degree 3:

$24x^3 - 54x^2 + 44x -99$

You can notice that it can be divided into two pairs of terms:

$(24x^3 + 44x) - (54x^2 + 99)$

The Greatest Common Factor (GCF) is defined as the largest number that can evenly divide two or more numbers.

It can be seen that the GCF for each group is extracted ( $4x$ and $9$ ), after which you can identify the shared factor lacking in both sets of parentheses using this method:

$(\frac{24x^3}{4x}+\frac{44x}{4x})-(\frac{54x^2}{9}+\frac{99}{9})=(6x^2+11)-(6x^2+11)$

The shared factor that both parentheses miss is:

$6x^2+11$

3 0

11 days ago