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yulyashka [42]
3 years ago
11

Zohar is using scissors to cut a rectangle with a length of 5x – 2 and a width of 3x + 1 out of a larger piece of paper. The per

imeter of the rectangle is 2(5x – 2) + 2(3x + 1). If x = 4 centimeters, what is the total distance Zohar needs to cut with the scissors?
Mathematics
1 answer:
Softa [21]3 years ago
7 0

Answer:

62 cm

Step-by-step explanation:

Given the expressions for width (3x + 1) and length (5x - 2) as well as the formula for the perimeter of a rectangle: 2(5x - 2) + 2(3x +10), we can first solve for the simplified expression of 'x' and then substitute the given value of x = 4cm to find the total distance:

Distribute: 2(5x - 2) + 2(3x +1) = 10x - 4 + 6x + 2

Combine like terms:  16x - 2

Plug in '4' for 'x':  16(4) - 2 = 64 -2  = 62 cm

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Mr. Martin's math test, which is worth 100 points, has 35
AlekseyPX

Number of questions worth 5 points = 10

Number of questions worth 2 points = 25

Further explanation:

The given system is a system of linear equations in two variables.

We will use the subsitution method to solve the system

Given equations are:

x+y=35\\5x+2y=100

From equation no 1:

x+y=35\\x=35-y

Putting x=35-y in second equation

5x+2y=100\\5(35-y)+2y=100\\175-5y+2y=100\\-3y=100-175\\-3y=-75\\\frac{-3y}{-3}=\frac{-75}{-3}\\y=25\\Putting y=25 in first equation\\x+25=35\\x= 35-25\\x=10

Hence,

Number of questions worth 5 points = 10

Number of questions worth 2 points = 25

Keywords: Linear Equations, Substitution method

Learn more about substitution method at:

  • brainly.com/question/11566221
  • brainly.com/question/13063819

#LearnwithBrainly

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3 years ago
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Answer:

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Step-by-step explanation:

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Vlad1618 [11]

Answer:

No Solution.

Step-by-step explanation:

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4 0
3 years ago
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The mode is the score that occurs the most

Here it is 85

Choice B

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