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liubo4ka [24]
3 years ago
12

The student council had six fund raisers during the school year. They raised $212, $205, $206, $190, $188, and $195. Using the c

lustering method, what is the estimated total of money raised by the student council?
Mathematics
1 answer:
Rus_ich [418]3 years ago
4 0

Answer:

$1200

Step-by-step explanation:

The clustering method for estimation is a method used for estimating the sums and products of numbers. This method is used when the numbers that are to be multiplied or added are near in value to a single number.

Given the money raised by six fund raisers:

$212, $205, $206, $190, $188, and $195

The numbers are to be added to find the total money raised. i.e.:

$212 + $205 + $206 + $190 + $188 + $195

But all the numbers are close to $200. Hence:

Using clustering method = $200 + $200 + $200 + $200 + $200 + $200 = 6 * $200 = $1200

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Karolina [17]

Answer: 0.75

Step-by-step explanation:

We can do this by drawing a terminal side in a standard position and then drawing the associated triangle. We then use the Pythagoras theorem to find the missing side the hypotenuse. Then, this will give a Pythagorean Triplet of 3, 4 and 5.

We now have a triangle with the values of:

x = 4

y =3

h^2= 4^2 + 3^2

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h^2 = 25

h = 5

h = 5

Tangent = opposite/adjacent

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3 years ago
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3 years ago
Given 14 – 2(x + 8) = 5x – (3x – 34), prove x = -9 what are the steps to be able to prove x=-9
Veronika [31]

Answer: x = -9

steps

Simplifying

14 + -2(x + 8) = 5x + -1(3x + -34)

Reorder the terms:

14 + -2(8 + x) = 5x + -1(3x + -34)

14 + (8 * -2 + x * -2) = 5x + -1(3x + -34)

14 + (-16 + -2x) = 5x + -1(3x + -34)

Combine like terms: 14 + -16 = -2

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Reorder the terms:

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-2 + -2x = 5x + (-34 * -1 + 3x * -1)

-2 + -2x = 5x + (34 + -3x)

Reorder the terms:

-2 + -2x = 34 + 5x + -3x

Combine like terms: 5x + -3x = 2x

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Solving

-2 + -2x = 34 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.

-2 + -2x + -2x = 34 + 2x + -2x

Combine like terms: -2x + -2x = -4x

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Combine like terms: 2x + -2x = 0

-2 + -4x = 34 + 0

-2 + -4x = 34

Add '2' to each side of the equation.

-2 + 2 + -4x = 34 + 2

Combine like terms: -2 + 2 = 0

0 + -4x = 34 + 2

-4x = 34 + 2

Combine like terms: 34 + 2 = 36

-4x = 36

Divide each side by '-4'.

x = -9

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7 \frac{1}{5}
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