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3 years ago

Find the sum and write it in lowest terms 2 3/4+3 1/8

Mathematics

1 answer:

JulijaS [17]3 years ago

3 0

2 3/4 that is at least the shortest term

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Jasmine evaluated the expression 3x+2 when x=5.

Inessa05 [86]

Answer:

when x = 5

then the value of. (3x+2)

(3*5) + 2

 

15 + 2

=. 17

her mistake was that she doesn't multiplied 5 and 3 

6 0

3 years ago

Write an expression for the 12th partial sum of the series 3/2+7/3+19/6+... using summation notation

lapo4ka [179]

Answer:

$S_{12}=\sum_{i=1}^{12} [\frac{3}{2}+(i-1)\times \frac{5}{6}]$

$S_{12}=73$

Step-by-step explanation:

$First\ term\ of\ the\ series(a_1)=\frac{3}{2}\\\\Second\ term\ of\ the\ series(a_2)=\frac{7}{3}\\\\Third\ term\ of\ the\ series(a_3)=\frac{19}{6}\\\\a_2-a_1=\frac{7}{3}-\frac{3}{2}=\frac{5}{6}\\\\a_3-a_2=\frac{19}{6}-\frac{7}{3}=\frac{5}{6}\\\\Hence\ it\ is\ an\ Arithmetic\ Series\ with\ first\ term=\frac{3}{2}\ and\ constant\ difference=\frac{5}{6}$

$a_1=\frac{3}{2}+0\times \frac{5}{6}\\\\a_2=\frac{3}{2}+1\times \frac{5}{6}\\\\a_3=\frac{3}{2}+2\times \frac{5}{6}\\\\.\\.\\.\\a_n=\frac{3}{2}+(n-1)\times \frac{5}{6}\\\\S_n=a_1+a_2+a_3+......+a_n\\\\S_n=(\frac{3}{2}+0\times \frac{5}{6})+(\frac{3}{2}+1\times \frac{5}{6})+(\frac{3}{2}+2\times \frac{5}{6})+....+(\frac{3}{2}+[n-1]\times \frac{5}{6})\\\\S_n=\sum_{i=1}^n [\frac{3}{2}+(i-1)\times \frac{5}{6}]\\\\S_n=(\frac{3}{2}+\frac{3}{2}+\frac{3}{2}+...n\ times)+\frac{5}{6}(1+2+3+4+...+(n-1))\\\\$

$S_n=\frac{3}{2}\times n+\frac{5}{6}\times \frac{n(n-1)}{2}\\\\$

$S_{12}=\sum_{i=1}^{12} [\frac{3}{2}+(i-1)\times \frac{5}{6}]$

$S_{12}=\frac{3}{2}\times 12+\frac{5}{6}\times \frac{(12)(12-1)}{2}\\\\S_{12}=18+55\\\\S_{12}=73$

5 0

4 years ago

I need help ASAP please help! 10th grade algebra

Sholpan [36]

This is 10th grade I’m in regular 8th and can do this w no problem

5 0

3 years ago

I NEEEEEEEEED HHHEEEEEEELLLLLLPPPPP!

Anna71 [15]

Answer:

27 units

Step-by-step explanation:

You can do this 2 ways:

Volume is l x w x h so 3 x 3 x 3 = 27

You can also count each cube that makes up the whole cube. The top layer has 9 cubes. The middle layer has 9 cubes. The bottom layer has 9 cubes. 9 + 9 + 9 = 27

7 0

3 years ago

Read 2 more answers

Evaluate u+xy if u =18,x=10 and y=8

nadezda [96]

If you would like to evaluate u + xy, you can do this using the following steps:

u = 18, x = 10, y = 8

u + xy = 18 + 10 * 8 = 18 + 80 = 98

its 98 bruh

8 0

3 years ago

Read 2 more answers