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Marizza181 [45]
3 years ago
5

Find the difference: 7 7/8- 3 1/4 =

Mathematics
2 answers:
enyata [817]3 years ago
4 0
7 and 7/8=63/8 and 3 and 1/4=13/4. 63/8 and 13/4 as common denominators are 63/8 and 26/8. 63/8-26/8=37/8. 37/8 as a mixed number is 4 5/8.
Katyanochek1 [597]3 years ago
4 0
37/8 or 4 ⅝.

7 ⅞ is equal to 63/8.
3 ¼ is equal to 13/4 which is equal to 26/8.

63/8 - 26/8 = 37/8 or 4 ⅝.
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What type of solution does the system of linear equations have? 2x - 6y = 8 -x + 3y = 10
nignag [31]
Let's actually find the solution of

<span>2x - 6y = 8
-x + 3y = 10

Let's use the addition/subtraction method.  Multiply the 2nd equation by 2, obtaining

</span> 2x - 6y = 8 
-2x + 6y = 20
--------------------
  0  + 0 = 28

Since this can never be true, the system of linear equations

2x - 6y = 8 
-x + 3y = 10

has no solution.
3 0
3 years ago
The data below shows the attendance of fans at each home game for the high school baseball team. Fan attendance at home games: 3
kogti [31]

Answer:

Average attendance with outlier = 39

Average attendance without outlier = 35.3

Step-by-step explanation:

Given the following data 34, 37, 30, 65, 34, 38, 41, 33

The outlier is the value that is lower or higher than other values in the dataset. Hence the outlier in this case is 65

Average = Sum of data/sample size

With the outlier;

Sum of dataset =  34+37+30+65+34+38+41+33

Sum of datasets = 312

Sample size =  8

Average attendance with the outlier = 312/8

Average attendance with the outlier = 39

Without the outlier;

The required data will exclude 65;

34, 37, 30, 34, 38, 41, 33

Sum of data = 34+37+30+34+38+41+33

Sum of data = 247

Sample size = 7

Average attendance without outlier = 247/7

Average attendance without outlier = 35.3

7 0
3 years ago
Slope of 2,8 and 6,9
oksano4ka [1.4K]

Answer:

1/4

Step-by-step explanation:

slope=(y₂-y₁)/(x₂-x₁)

(9-8)/(6-2)

1/4

∴ Slope is 1/4

6 0
3 years ago
(a) Evaluate the integral ∫2048x2+4dx. Your answer should be in the form kπ, where k is an integer. What is the value of k? (Hin
dezoksy [38]

Answer:

Step-by-step explanation:

a) Evaluate the integral

\int\limits^2_0 {\frac{48}{x^2+4} } \, dx

=\int\limits^2_0 {\frac{48}{x^2+2} } \, dx \\\\=\frac{48}{2} [\tan ^-^1(\frac{\pi}{2}) ]^2_0

=24[\tan ^-^1(1)- \tan^-^1(0)]\\\\=24(\frac{\pi}{4} )\\\\=6\pi\\\\ k \pi=6 \pi\\\\k=6

b)

F(x)=\frac{48}{x^2+4}

divide by 4

=\frac{12}{1+(\frac{x}{2} )^2}

Power series for \frac{1}{1-x}

\frac{1}{1-x} =1+x+x^2+x^3+x^4+...= \sum_{n=0}^{\infty}x^n     |x|

replace x by -\frac{x^2}{4} in equation (1)

\frac{12}{1+(\frac{x}{2})^2 } =12\frac{1}{1-(-\frac{x^2}{4} )}

=12 \sum_{n=0}^{\infty}(-\frac{x^2}{4} )^n\\\\=12\sum_{n=0}^ \infty(-1)^n\frac{x^2^n}{2^2^n}

=12(1-\frac{x^2}{4} +\frac{x^4}{16} -\frac{x^6}{64} +\frac{x^8}{256} -\frac{x^1^0}{1024} ...)

=12-3x^2+\frac{3}{4} x^4-\frac{3}{16} x^6+\frac{3}{64}x^8-\frac{3}{256} x^1^0...

Take integration with respect to x from 0 to 2

\int\limits^2_0 {(12-3x^2+\frac{3}{4}x^4-\frac{3}{16} x^6+\frac{3}{64} x^8-\frac{3}{256} x^1^0+... )} \, dx

=[{12x-x^3+\frac{3}{20} x^5-\frac{3}{16}\frac{x^7}{7} +\frac{3}{64} \frac{x^9}{9} -\frac{3}{256}\frac{x^1^1}{11} +...]^2_0  }

=24-8+4.8-3.42+2.66-2.18\\\\=18.84

4 0
3 years ago
Aisle 2 of a furniture store stocks 4-legged chairs, 4-legged tables, and 3-legged stools. If there are t tables, c chairs, and
Taya2010 [7]

The expressions show the total number of furniture legs in aisle 2 is 4t + 4c + 3s.

<h3>What is total number?</h3>

A quantity obtained by the addition of a group of numbers.

Given number of tables = t, chairs = c and stools = s.

The total number of furniture legs = 4 * t + 4 * c + 3 * s.

                                                         = 4t + 4c + 3s.

Therefore, the expressions which show the total number of furniture legs in aisle 2 is 4t + 4c + 3s.

To know more about total number, link is given below:

brainly.com/question/27541895

#SPJ1

3 0
2 years ago
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