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denis-greek [22]
3 years ago
8

How to draw a diagram that shows 1/5 times 30 equals 6

Mathematics
1 answer:
Andrew [12]3 years ago
6 0
Multiplying by 1/5 is the same as dividing by 5, so we can show a diagram of division. This can be done by constructing a horizontal line of length 30 cm and dividing it into 5 equal parts; each part will measure 6cm.
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FInd the GCF of the numbers using prime factorizations.
lesya [120]

Answer:

GCF(330, 75, 450, 225) = 15

Steps:

Prime factorization of the numbers:

330 = 2 × 3 × 5 × 11

75 = 3 × 5 × 5

450 = 2 × 3 × 3 × 5 × 5

225 = 3 × 3 × 5 × 5

GCF(330, 75, 450, 225)

= 3 × 5

= 15

3 0
3 years ago
Pineview Middle School has 158 fewer students enrolled than Wellington Middle School. If Pineview Middle has 1039 students enrol
vampirchik [111]
1039 + 158 = 1197 students
8 0
2 years ago
What is the following product?<br> PLEASE HELP,I'M STRUGGLING SO MUCH!
Licemer1 [7]

(x√7 - 3√8 ) (x√7 - 3√8 )

To solve this question you must FOIL (First, Outside, Inside, Last) like so

First:

(x√7 - 3√8 ) (x√7 - 3√8 )

x√7 * x√7

For this you will multiply the numbers/variables on the out side together and separately multiply the values inside the square root together

(x*x)(√7*7)

x²√49

7x²

Outside:

(x√7 - 3√8 ) (x√7 - 3√8 )

x√7 * -3√8

(-3*x)(√7*8)

-3x√56

√56 can be further simplified to: 2√14

Now we have: -3x2√14 ---> -6x√14  

Inside:

(x√7 - 3√8 ) (x√7 - 3√8 )

The process is the exact same as in the "outside"

x√7 * -3√8

(-3*x)(√7*8)

-3x√56

√56 can be further simplified to: 2√14

Now we have: -3x2√14 ---> -6x√14

Last:

(x√7 - 3√8 ) (x√7 - 3√8 )

-3√8 * -3√8

(-3*-3)(√8*√8)

9√64

9*8

72

Now combine all the products of the FOIL together like so...

7x² - 6x√14 - 6x√14 + 72

Combine like terms:

 

7x² - 6x√14 - 6x√14 + 72

^^^When you add together square roots the number inside the radical stays the same, and you combine the numbers/variables attached to the radical on the outside

You selected the correct answer:

7x² -12x√14 + 72  

Hope this helped!

~Just a girl in love with Shawn Mendes

5 0
3 years ago
The average business traveler spends almost $50 per day. Mary O Sullivan spent the following yesterday: dinner, $21.50; lunch, $
taurus [48]

To solve this, we simply add up the total amount of money she spent that day:

21.50 + 10.58 + 5.88 + 7.51 + 2.95 = 48.42

50 - 48.42 = 1.58

She was $1.58 under the average.

3 0
3 years ago
If Anita has read 55 of the 245 pages in her book, what percent of the book has she read?
givi [52]

Answer:

22.45%

To two decimal places

Step-by-step explanation:

A book has 245 pages and she has only read 55 of the pages. To get the percentage:

55/245 and then multiply it by 100.

55/245

=O.2245 (To four decimal places)

0.2245 x 100

22.45% (To two decimal places)

She has only read 22.45% of the book. To convert it to a whole number, that's 22% of the book has been read

3 0
3 years ago
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