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mamaluj [8]
3 years ago
11

The Scale Factor between two

Mathematics
1 answer:
alexandr402 [8]3 years ago
8 0

Answer:

3

Step-by-step explanation:

Just multiply all sides by 3 since the scale factor is 3

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If the ratio of red hair bands to green hair bands is 5 to 9 with a total of 70 hair bands, how many of them are greeen?
dsp73

ANSWER

45 green bands

EXPLANATION

The ratio of red hair bands to green hair bands is

5 : 9

The total ratio is:

9 + 5 = 14

If there are a total of 70 hair bands,

Then the number of green bands

=  \frac{9}{14}  \times 70

Simplify

= 9 \times 5

Multiply

= 45

Therefore, there are 45 green bands.

3 0
3 years ago
some species of bacteria can copy their DNA and divide every 40 minutes. If a COLONY of 100 of these such bacteria begins with a
VikaD [51]

Answer:

The answer is 51,200 bacterium.

Step-by-step explanation: So you need to figure out the time between 12 and 6pm, then divide it by 40. 12-6 is 360 minutes, you divide by 40 and you get 9 divisions. Multiply the 100 x 2=200, 200 x 2 =400, and so on for 9 times.

You get a result of 51,200 bacterium.

8 0
3 years ago
Using Cramer's Rule, what is the value of x in the system of linear equations below?
Luden [163]

Answer:

0

Step-by-step explanation:

We find the determinant of a matrix by the method below. If we have a matrix:

\left[\begin{array}{cc}a&b\\c&d\end{array}\right]

The determinant is ad-bc

Now, using cramer's rule, we find x-value by the formula:

x=\frac{D_x}{D}

Where D is the determinant of the original problem and D_x is the determinant of the x-value matrix. How do we get those?

<u><em>To get original matrix and thus D, we set up the matrix as the coefficients of x and y (s) of both the equations and to get matrix of x-value and thus D_x, we replace the x values of the matrix with the numbers in the right hand side of the 2 equations.</em></u> We show this below:

<em />

<em>To get D:</em>

\left[\begin{array}{cc}3&4\\1&-6\end{array}\right] \\D=(3)(-6)-(1)(4)=-18-4=-22

<em>To get D_x:</em>

<em>\left[\begin{array}{cc}12&4\\-18&-6\end{array}\right] \\D_x=(12)(-6)-(-18)(4)=0</em>

<em />

<em>Putting into the formula, we get:</em>

<em>x=\frac{D_x}{D}=\frac{0}{-22}=0</em>

<em />

<em>Thus, the value of x is 0</em>

5 0
3 years ago
Find the slope of the line 3x - y = 15
MakcuM [25]

Answer:

<u>3</u>

Step-by-step explanation:

Rearrange in the slope-intercept form :

  • 3x - y = 15
  • y = 3x - 15

Comparing this to the standard equation :

  • y = mx + c
  1. m = slope
  2. c = y-intercept

  • On comparing, it is clear that the slope of the line is <u>3</u>
8 0
2 years ago
24 = 3 (b+1) plz help
scoundrel [369]

Answer:

b= 7

Step-by-step explanation:

24= 3b + 3

24-3 = 3b

21= 3b

21/3 = b

7 = b

5 0
3 years ago
Read 2 more answers
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