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lina2011 [118]
3 years ago
8

Compare the numbers. Pick the correct sign.

Mathematics
2 answers:
kirill115 [55]3 years ago
5 0

Answer:

7 > 5

Step-by-step explanation:

On a number line, 7 is to the right of 5.

On the number line, a number is greater than a number to its left.

7 is greater than 5

7 > 5

Degger [83]3 years ago
5 0
7 is greater than 5 so it’ll be 7>5
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The area of a rectangular piece of metal is 1,984 square centimeters. The perimeter is 188 centimeters. What are the dimensions
gulaghasi [49]

Answer:

There are 2 options:

  • x = 32 cm and y = 62 cm
  • x = 62 cm and y = 32 cm

Step-by-step explanation:

That's a rectangular piece, therefore let's consider the width to be x and the length to be y.

A = width * length

1) A = x * y = 1,984 cm^2

P = 2 * (width) + 2 * (length)

2) P = 2x + 2y = 188 cm

Isolate x or y in one of the equations.

xy = 1,984 cm^2

y = 1,984 cm^2 / x

Now plug it in the second equation.

2x + 2y = 188 cm

2x + 2 * (1,984 / x) = 188

Now we have only one variable. Now just solve it alegebraically.

2x + (3,968 / x) = 188

Multiply both sides by x in order to get rid of the fraction.

2x^{2} + 3968 = 188 x

Substract both sides by 188 x

2x^2 + 3968 - 188x = 0

Now divide by 2 to make the equation simpler.

x^2 - 94x + 1984 = 0

use the quadratic formula:

\frac{94 + \sqrt{(-94)^2 - 4(1)(1984)} }{2(1)} = 62\\\frac{94 - \sqrt{(-94)^2 - 4(1)(1984)} }{2(1)} = 32    

  x1 = \frac{-b + \sqrt{b^2 - 4ac} }{2a} \\x2 = \frac{-b - \sqrt{b^2 - 4ac} }{2a}

x is either 62 or 32.

let's find y:

y = 1,984 / x

y = 1,984 / 62 = 32

y = 1,984 / 32 = 62

There are 2 options:

  • x = 32 cm and y = 62 cm
  • x = 62 cm and y = 32 cm

5 0
2 years ago
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The table shows the linear relationship of the water level in a take and time
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Answer:

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Step-by-step explanation:

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Consider the line segment.
V125BC [204]
Part A:
x = 8
Part B:
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Part C:
64cm
Part D:
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11 x 9/10
Igoryamba
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