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slava [35]
3 years ago
8

Solve the following equation 7 • 10^n = 7000

Mathematics
1 answer:
marysya [2.9K]3 years ago
3 0

Answer:

N=3

Step-by-step explanation:

7.10^n =7000

10^n =1000

10^n = 10^3

(coz bases are the same powers are equal)

Therefore n =3

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Answer please thanks
viva [34]

Answer:

7 bucks

Step-by-step explanation:

x*.8=5.62

divide both sides by .8

x=7

7 0
3 years ago
A 14 foot is cut into two pieces so that one piece is 3 feet longer than twice the shorter piece
DochEvi [55]
To answer the question above, let x be the shorter one of the pieces. With the variable, we can express the longer piece as 2x + 3. Based on the given, the sum of the lengths of these pieces should sum up to 14 ft. 

                                        2x + 3 + x = 14 ft, x = 3 2/3 ft

Substituting this value for the longer piece, we get 10 1/3 ft. Thus, the lengths of the pieces are 3 2/3 ft and 10 1/3 ft. 

3 0
3 years ago
2. How many factors are represented in the expression (x + 2)(x - 3)?
Valentin [98]

Step-by-step explanation:

(X+2)(x-3)4211334433434

8 0
3 years ago
Slove by using elimination <br> 3x+7y=27 <br> -3x+y=21
tankabanditka [31]

Answer:

x = -5

y = 6

Step-by-step explanation:

3x + 7y = 27      --------------(I)

-3x + y = 21        -----------(II)

Add equation (I) & (II) and so x will be eliminated and we can find the value of y.

(I)      3x + 7y = 27    

(II)    <u> -3x + y = 21  </u>      {add}

                8y = 48

                   y = 48/8

                   y = 6

Plugin y = 6 in equation (I)

3x +7*6 = 27

3x + 42 = 27

       3x = 27 - 42

       3x = -15

         x = -15/3

x = -5

8 0
3 years ago
The school librarian, Mr. Marker, knows the library has 1,400 books but wants to reorganize how the books are displayed on the s
kipiarov [429]

Answer:

200 resource books

800 fiction books

400 nonfiction books

Step-by-step explanation:

Let's define x as the amount of resource books that are in the library. As he has four times as many fiction books as resource books, that means he has 4*x fiction books.

We also know he has half as many nonfiction books as fiction books, that is 1/2*4*x = 2*x nonfiction books.

We just need to find out the value of x.

We know there are 1,400 books in total and there are just 3 types of books. Therefore, if we sum all of them, we get the 1,400.

Written in math language, that is

x + 4x + 2x = 1,400

7x = 1,400

We divide by 7 on both sides and we get

7/7x = 1,400/7

x = 200

Now we replace the x with 200 to know how many books he has of each type:

Resource books = x = 200

Fiction books = 4*x = 4*200 = 800

Nonfiction books = 2*x = 2*200 = 400

Therefore, there are 200 resource books, 800 fiction books and 400 nonfiction books in the library.

The tape diagram is attached as an image.

8 0
3 years ago
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