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mamaluj [8]
3 years ago
5

A certain colony of bacteria triples in length every 10 minutes, its length is now 1 millimeter. How long will it be in 40 minut

es?
Mathematics
1 answer:
Law Incorporation [45]3 years ago
3 0

Answer:

81 mm

Step-by-step explanation:

Now: 1 mm

In 10 minutes: 3 * 1 mm = 3 mm

In 20 minutes: 3 * 3 mm = 9 mm

In 30 minutes: 3 * 9 mm = 27 mm

In 40 minutes: 3 * 27 mm = 81 mm

Answer: 81 mm

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There are 12 men in the dance recital.
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Rewrite the equation below so that it does not have fractions four -4/9 times equals two over three do not use decimals in your
Rama09 [41]

The equation is 36 - 4x = 6.

Solution:

To write the equation without fraction.

$4-\frac{4}{9} x=\frac{2}{3}

$\frac{4}{1} -\frac{4}{9} x=\frac{2}{3}

The denominators must be same to add/subtract the fractions.

LCM of 1, 9 and 3 = 9.

Multiply first term by \frac{9}{9} and \frac{2}{3} by \frac{3}{3} to make the denominator same.

$\frac{4\times9}{1\times9} -\frac{4}{9} x=\frac{2\times3}{3\times3}

$\frac{36}{9} -\frac{4}{9} x=\frac{6}{9}

$\frac{36-4x}{9} =\frac{6}{9}

Multiply by 9 on both sides.

$\frac{36-4x}{9}\times9 =\frac{6}{9}\times9

Both 9 in the numerator and denominator get canceled.

36 - 4x = 6

This term does not have fraction.

Hence the equation is 36 - 4x = 6.

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3 years ago
Write an equation of the line that passes through (3,2), and is perpendicular to the line
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Step-by-step explanation:

step 1. perpendicular lines have negative reciprocal slopes

step 2. perpendicular to m = 1/3 is the slope m = -3/1 or m = -3

step 3. a line through (3, 2) with m = -3 is y - 2 = -3(x - 3)

step 4. y - 2 = -3x + 9

step 5. y = -3x + 11.

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lina2011 [118]

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Is the answer!

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The polygon Q(3, 2), R(6,5), S(6, 2)
ycow [4]

Answer:

Q' (12,8) , R'( 24,20) and S' (24,8)

Step-by-step explanation:

Here, we want to get the coordinates of the image after dilating the pre-image by a scale factor of 4

What we have to do here is to multiply each of the coordinate on the pre-image by 4

We have this as;

Q' = (4*3, 2 * 4) = (12,8)

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