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eimsori [14]
3 years ago
10

Zach has 3/4 hour play video games. It takes him 1/12 hour to set up the stystem. Each round of his favorite game takes 1/6 hour

. How many rounds can he play.
Mathematics
1 answer:
Vera_Pavlovna [14]3 years ago
7 0

He can play 4 rounds. If you find a common denominator, it would end up with 9/12 of an hour to play and then you subtract the 1/12 it took to set it up. this leaves you with 8/12. but, it takes 2/12 of an hour to play each round. so 8 divided by 2 is 4. Which is where the 4 rounds is from!

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Identify the terms and like terms in the expression - x - 9x*2 + 12x*2 + 7
alexgriva [62]
The expression - x - 9x^2 + 12x^2 + 7 has 4 terms:
-x, -9x^2, 12x^2, 7

Like terms are:
-9x^2, 12x^2
4 0
3 years ago
The length of a rectangle is 1 ft less than twice the width, the area of the rectangle is 21 ft squared. What’s the length
guapka [62]

Answer:

The length of the rectangle is 6 feet

Step-by-step explanation:

Given as :

The length of rectangle is 1 feet less than twice the width

So, let The width of rectangle = w feet

The length of rectangle = ( 2 w - 1 )  feet

The area of the rectangle = 21 feet²

Now,

∵ The area of the rectangle = length × width

Or, 21 feet² =  ( 2 w - 1 ) feet × w feet

or, 21 = 2 w² - w

or, 2 w² - w - 21 = 0

or, 2 w² + 6 w - 7 w - 21 = 0

or , 2 w ( w + 3 ) - 7 ( w + 3 ) = 0

or, ( w + 3 ) ( 2 w - 7 ) = 0

So, w = - 3 feet , \frac{7}{2} feet

here we consider only positive value of w i.e  \frac{7}{2} feet

∴ The length of rectangle = ( 2 w - 1 )  feet

or,  The length of rectangle = 2 × \frac{7}{2}  - 1

Or, The length of rectangle = 7 - 1 = 6 feet

Hence The length of the rectangle is 6 feet , Answer

3 0
3 years ago
.William sold half of his comic book collection and then purchased 10 more . He now has 24 comic books period how many books did
Assoli18 [71]

Answer:

28 books

Step-by-step explanation:

Let x represent the number of books .William owned before anything happens

x/2 + 10 = 24

2(x/2 + 10) = 2(24)

x + 20 = 48

x = 48 - 20

x = 28

8 0
3 years ago
Read 2 more answers
What is the sum of the prime factors of 1260? For example, the sum of the prime factors of 20
Genrish500 [490]

Answer:

The answer is 22

Step-by-step explanation:

Do Prime Factorization of 1260

(as shown in the picture I attached)

Prime factors of 1260 = 2, 2, 3, 3, 5, 7

Now to get the sum of the prime factors of 1260, you just have to add all the factors

2 + 2 + 3 + 3 + 5 + 7 = 22

Hope this helps!

3 0
3 years ago
Give the volume of the triangular prism shown
Nitella [24]

Answer:

  D.  264 in³

Step-by-step explanation:

The missing edge dimension can be found using the Pythagorean theorem. Then the volume can be found using the appropriate formula.

<h3>Edge dimension</h3>

The missing dimension and the two given for the top triangle will satisfy the Pythagorean theorem. If the missing dimension is represented by 'a', then we have ...

  a² +8² = 10²

  a = √(100 -64) = 6 . . . . inches

<h3>Volume</h3>

The area of the top triangle is ...

  A = 1/2bh . . . . where b and h are the base and height dimensions

  A = 1/2(6 in)(8 in) = 24 in²

The volume of the triangular prism is ...

  A = Bh . . . . . where B is the area of the triangular base, and h is the prism height

  A = (24 in²)(11 in) = 264 in³

The volume of the triangular prism shown is 264 in³.

6 0
2 years ago
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