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marin [14]
3 years ago
6

Find the perimeter of a rectangle that has a length of 2x +7 and a width of 5x.

Mathematics
2 answers:
erma4kov [3.2K]3 years ago
6 0

Answer:

14x + 14

Step-by-step explanation:

perimeter formula: 2(w+l)

2(2x+7+5x) = 2(7x+7) = 14x+14

Harlamova29_29 [7]3 years ago
3 0

Answer:

14x + 14

Step-by-step explanation:

Perimeter = 2( L + W)

2(2x+7 + 5x) = 2(7x + 7)

distributive property

= 14x + 14

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The mean age of 6 women in an office is 34 years old. The mean age of 8 men in an office is 34 years old. What is the mean age (
Volgvan

Step-by-step explanation:

204+272/14=34 years old

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use elimination to solve. For a production of sweeney Todd in Las Vegas, orchestra seats cost $42 and mezzanine seats cost $25.
lidiya [134]

They bought 8 orchestra seats and 6 mezzanine seats.

Step-by-step explanation:

Cost of one orchestra seat = $42

Cost of one mezzanine seat = $25

No. of people = 14

Amount spent = $486

Let,

x be the number of orchestra seats

y be the number of mezzanine seats

According to given statement;

x+y=14     Eqn 1

42x+25y=486    Eqn 2

Multiplying Eqn 1 by 25;

25(x+y=14)\\25x+25y=350\ \ \ \ Eqn\ 3

Subtracting Eqn 3 from Eqn 2 to eliminate y;

(42x+25y)-(25x+25y)=486-350\\42x+25y-25x-25y=136\\17x=136

Dividing both sides by 17

\frac{17x}{17}=\frac{136}{17}\\x=8

Putting x=8 in Eqn 1

8+y=14\\y=14-8\\y=6

They bought 8 orchestra seats and 6 mezzanine seats.

Keywords: linear equation, elimination method

Learn more about elimination method at:

  • brainly.com/question/11258952
  • brainly.com/question/11343416

#LearnwithBrainly

5 0
3 years ago
If a,b, and c are prime numbers, do (a+b)(a+b) and cc have a common factor that is greater than 1?
Tanya [424]

Answer:

1. Information is not sufficient

2. Information is not sufficient

Step-by-step explanation:

Question Modified

If a,b, and c are prime numbers, do (a+b) and c have a common factor that is greater than 1?

(1) a,b, and c are all different prime numbers

(2) c≠2

Explanation

1. Let's assume values of 1,3 and 5 to a, b, and c respectively

a + b = 1+3 = 4

4 and 5 do not have any common factor aside 1

Let's assume values of 1,3 and 2 to a,b and c respectively

a + b = 1+3 = 4

4 and 2 have a common factor of 2

So, the available information is not sufficient

2.

Let's assume values of 2,7 and 3 to a b and c response

a + b = 2 + 7 = 9

9 and 3 have a common factor of 3

Also, let's assume values of 2,7 and 5 to a, b and c

a + b = 2 + 7 = 9

9 and 5 do not have a common factor

So, the available information is also not sufficient to answer the question.

3 0
3 years ago
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