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CaHeK987 [17]
3 years ago
11

Express 48% as a fraction

Mathematics
2 answers:
Leya [2.2K]3 years ago
5 0

Answer:

48/100

Step-by-step explanation:

all %are just out of 100

so its 48/100

soldier1979 [14.2K]3 years ago
3 0

Answer:

12/25

Step-by-step explanation:

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Simplify the following fraction: 6/9
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2/3. you can divide the numerator and the denominator both by 3.
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What is the height, X, of the equilateral triangle ? (Help)
scZoUnD [109]

Answer:

A. 7√3 in

Step-by-step explanation:

We first have to draw out the altitude on the triangle. When we do so, we should see that we will get 2 congruent 30-60-90 triangles. From there, our <em>h</em> height is <em>x</em> and we use tan∅ to solve:

tan60° = x/7

x = 7tan60°

x = 7√3

5 0
4 years ago
Which expression is equivalent to 60 Σ n=1 (2n − 1)2 ? Check all that apply.
Hunter-Best [27]

9514 1404 393

Answer:

  B, D

Step-by-step explanation:

The quadratic expands to ...

  (2n -1)² = (2n)² +2(2n)(-1) +(-1)² = 4n² -4n +1

The coefficients can be factored out of the sum, so ...

  ∑(4n²) = 4∑n² for example

The sum of 60 ones is 60:

  \displaystyle\sum_{n=1}^{60}{1}=1+1+1+\dots+1=60

So, the sum can be written as ...

  \displaystyle\sum_{n=1}^{60}{(2n-1)^2}\\\\=\boxed{4\sum_{n=1}^{60}{n^2}-4\sum_{n=1}^{60}{n}+\sum_{n=1}^{60}{1}}\\\\=\boxed{4\sum_{n=1}^{60}{n^2}-4\sum_{n=1}^{60}{n}+60}

_____

It appears that the key to choosing the correct answers is paying attention to signs.

7 0
3 years ago
Read 2 more answers
Write a linear equation based on given information. Through (5,-5) and (4,0)
Katena32 [7]

For this case we have that by definition, the equation of the line of the slope-intersection form is given by:

y = mx + b

Where:

m: It is the slope of the line

b: It is the cut point with the y axis

We have the following points:

(x_ {1}, y_ {1}) :( 5, -5)\\(x_ {2}, y_ {2}) :( 4,0)

We find the slope:

m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {0 - (- 5)} {4-5} = \frac {5} {- 1} = - 5

Thus, the equation is of the form:

y = -5x + b

We substitute a point and find b:

0 = -5 (4) + b\\0 = -20 + b\\b = 20

Finally, the equation is:

y = -5x + 20

Answer:

y = -5x + 20

6 0
3 years ago
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