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2 years ago

Point A is at-4 and point B is at 6. Which describes one way to find the point that divides AB into a 3:2 ratio?

Mathematics

1 answer:

galben [10]2 years ago

7 0

The point that divides AB into a 3:2 ratio is calculated by (d) for a ratio of 3:2, divide AB into 5 equal parts. Each equal part is 2 units, so the point that divides AB into a 3:2 ratio is 2

<h3>How to determine the ratio?</h3>

The given parameters are:

A = -4

B = 6

Start by calculating the length AB using:

AB = |B - A|

This gives

AB = |6 -(-4)|

Evaluate

AB = 10

Next, the length is divided into 5 parts.

So, the length of each part is:

Length = 10/5

Length = 2

The point on the location 3 : 2 is then calculated as:

Point = A + 3 * Length

This gives

Point = -4 + 3 * 2

Evaluate

Point = 2

The above computation is represented by option (d)

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4 years ago

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The larger of two numbers is 7 times the smaller number. Three times the larger number is 7 more than 4 times the smaller number

Juliette [100K]

Let the smaller number be x.

Given, the larger number is 7 times the smaller number.

So, the larger number = 7x.

Given, 3 times the larger number is 7 more than 4 times the smaller number.

So we can write the equation as,

$3(7x) = 4(x)+7$

$3(7x) = 4x+7$

$21x = 4x+7$

Now we have to move 4x to the left side by subtracting 4x from both sides.

$21x-4x = 4x-4x+7$

$21x-4x = 7$

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To get x, we will divide both sides by 17. We will get,

$\frac{17x}{17} = \frac{7}{17}$

$x = \frac{7}{17}$

So the smaller number = $\frac{7}{17}$

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So we have got the required numbers.

Smaller number = $\frac{7}{17}$ and larger number = $\frac{49}{17}$ .

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4 years ago

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4 years ago

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A battery manufacturer randomly tests 500 batteries and finds that 3 are defective.

ale4655 [162]

To find this answer, we must first find the percentage of batteries that are defective. We can do this by dividing 3 by 500.

3 / 500 = 0.006

So our percentage of defective batteries is 0.6%.

Now, to find out how many defective batteries would be in a batch of 12000, we just need to multiply the constant (percentage of defective batteries) by the amount in the new batch.

12000 * 0.006 = 72

In a shipment of 12,000 batteries, 72 will be defective, so the correct answer choice would be B.
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3 years ago

Hello! Can anyone please help me? The topic is angles.

Setler79 [48]

Answer:

29/4 or 7.25

Step-by-step explanation:

Complimentary angles are two angles that add up to 90

Supplementary angles are two angles that add up to 180

Angle ABC = x

Angle CBD = 7y + 4

Angle DBE = 8y + x

If we can find the measure of angle CBD, then we can find x.

We know that CBD + DBE = 180 because they are supplementary. Therefore...

(7y + 4) + (8y + x) = 180

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Now we can use algebra to solve for x and y...

Blah blah blah...

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3 years ago