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2 years ago

Explain what is the difference between the solutions to 2x=10 and 2x > 10

Mathematics

1 answer:

Nat2105 [25]2 years ago

3 0

Answer:

See explanation below

Step-by-step explanation:

Explain what is the difference between the solutions to 2x=10 and 2x > 10

Given the equations;

2x = 10

x = 10/2

x = 5

For the equation 2x > 10

x > 10/2

x > 5

The first equation has only one solution which is 5 while the second equation has infinite number of solutions since the values of x can take any value that is greater than 5

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Determine measurements of data for the following numbers:

Leno4ka [110]

Answer: mean=87, median=87.5 and range=18

Step-by-step explanation:

Mean:

First add all the numbers

78+95+77+92+87+79+94+86+88+94 = 870

Then you divide the answer by counting the numbers

870÷10

=87

Median:

First arrange the numbers in ascending order (from smallest to largest)

77, 78, 79, 86, 87, 88, 92, 94, 94, 95

pick the two middle numbers which is 87 and 88

then you do $\frac{87+88}{2}$

= 175÷2

= 87.5

range = Largest number - smallest number

= 95-77

= 18

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2 years ago

(x+6) + (x+8) + 14 / 2

wlad13 [49]

Answer=2x+21 do you want the whole solution?

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2 years ago

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Simplify and show work 5x - (6 - x)

Scilla [17]

Answer:

6x-6

Step-by-step explanation:

5x-(6-x)

First you distribute the negative to (6-x) which makes -6+x, then you just subtract that from 5x which makes 5x-6+x then you just simplify into 6x-6.

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2 years ago

19.

dmitriy555 [2]

Answer:

293 feet per second

Step-by-step explanation:

1056000 feet per hour

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1056000 divided by 60 = 17600 feet per minute

1 minute = 60 seconds

17600 divided by 60 = 293 feet per second

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2 years ago

A sumo wrestling ring is circular and has a circumference of 4 . 6 π meters 4.6π meters. What is the area A A of the sumo wrestl

LUCKY_DIMON [66]

Answer:

$A=5.29\pi$

Step-by-step explanation:

Formula for circumference of a circle is:

Circumference = $2\pi r$

Given circumference of the ring is $4.6\pi$

Now solving for the radius gives us:

$2\pi r=4.6\pi\\r=\frac{4.6\pi}{2\pi}\\r=\frac{4.6}{2}=2.3$

We know that area of a circle is $\pi r^2$ , substituting the value of r we found, we get the area as:

area (A) = $\pi r^2\\\pi (2.3)^2\\\pi (5.29)\\=5.29\pi$

Hence the Area (A), in terms of $\pi$ is $5.29\pi$

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2 years ago

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