Apply the distributive property to factor out the greatest common factor of all three terms. 24c+36d+18

Maria is buying new carpet. Her bedroom is in the shape of a square and the length id each side is 12 feet. Write and simplify a

satela [25.4K]

Answer: She needed 144 square feet of carpet.

Step-by-step explanation:

Given : Maria is buying new carpet. Her bedroom is in the shape of a square.

The length of each side is 12 feet.

We know that the area of square = $(side)^2$

So , the area of the bedroom = $(12)^2$ [which is an exponential expression]

Simplify it

The area of the bedroom = $12\times12=144\ \text{ft}^2$

Also, the carpet she needed = Area of the bedroom.

Thus , She needed 144 square feet of carpet.

4 0

1 year ago

Which could be the entire interval over which the function, f(x), is negative?

lana [24]

For this case we have a function of the form:

y = f (x)

Where,

x: independent variable

y: dependent variable

To answer the question, we must see in the table the values of the independent variable x, for which the values of the dependent variable f (x) are negative.

We have then that the interval that fulfills this condition is from minus infinity to minus 4 without including the 4.

Thus,

(–∞, –4)

Answer:

The entire interval over which the function, f(x), is negative is:

D) (–∞, –4)

6 0

2 years ago

Read 2 more answers

Joe receives an average of 780 emails in his personal account and 760 emails in his work account each month. After changing his

Semmy [17]

Answer:

702 emails

Step-by-step explanation:

<h2>This problem bothers on depreciation of value, in this context it is Joe's email that has depreciated by 10%.</h2>

Given data

Average personal emails received monthly = $780 emails$

Average work emails received monthly $= 760 emails$

We are required to solve for the new amount of emails Joe will be receiving after changing his address, to find this value we need to solve for the depreciation of his personal mails.

After solving for the depreciation , we then need to subtract the depreciation from the initial number of mails to get the new number of mails.

let us solve for 10% depreciation.

$depreciation= \frac{10}{100} *780\\depreciation=0.1*780= 78 emails$

The new number of mails

$= initial number of mail- depreciation\\ =780-78= 702 emails$

Joe will be receiving an average of 702 emails in his personal account monthly

7 0

1 year ago

Some of the steps in the derivation of the quadratic formula are shown. Step 4: Step 5: Step 6: Step 7: Which best explains why

Otrada [13]

Answer:

The square root of terms separated by addition and subtraction cannot be calculated individually.

Step-by-step explanation:

In order to calculate the square root, we would need a monomial or a factored expression. We do not have that, so we cannot take the square root.

6 0

1 year ago

Read 2 more answers

The album The Best of Radiohead, by Radiohead, has a list price of $13.83, and the album The King of Limbs, by Radiohead, has a

neonofarm [45]

Answer:

206 albums The King of Limbs and 34 albums The Best of Radiohead sold

Step-by-step explanation:

Let x be the no. of The album The Best of Radiohead sold .

We are given that total sales of both albums in one week is 240 albums.

So, number of albums The King of Limbs = 240 -x

Cost of 1 album The Best of Radiohead by Radiohead is $13.83

Cost of x album The Best of Radiohead by Radiohead = 13.83x

Cost of 1 album The King of Limbs, by Radiohead= $7.83

Cost of (240-x) album The King of Limbs, by Radiohead=7.83(240-x)

The total cost revenue of both albums in that week is 2083.20

So, 13.83x+7.83(240-x)=2083.20

13.83x+1879.2-7.83x=2083.20

13.83x-7.83x=2083.20-1879.2

6x=204

$x=\frac{204}{6}$

x=34

The no. of The album The Best of Radiohead sold is 34

Number of albums The King of Limbs = 240 -x =240-34=206

Hence 206 albums The King of Limbs and 34 albums The Best of Radiohead sold

6 0

1 year ago