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ryzh [129]
3 years ago
8

What is the solution to the linear equation? 6k + 10.5 = 3k + 12

Mathematics
2 answers:
KATRIN_1 [288]3 years ago
7 0
6k+10.5=3k+12
     -10.5      -10.5
6k=3k+1.5
-3k  -3k
3k=1.5
anzhelika [568]3 years ago
3 0

Answer:  0.5

Step-by-step explanation:

The given equation: 6k + 10.5 = 3k + 12

To solve the above equation for k , we first subtract 3k from both the sides , we get

6k + 10.5 -3k= 3k + 12-3k\\\\\Rightarrow\ 3k+10.5=12

Subtract 10.5 from both sides

3k=12-10.5\\\\\Rightarrow\ 3k=1.5

Divide 3 on both the sides , we get

k=\dfrac{1.5}{3}=0.5

Hence,  solution to the linear equation : k = 0.5

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the absolute value of a number is the distance from 0 to the number on a number line. use absolute value notation to indicate tw
ASHA 777 [7]

Answer: It is 3 and negative -3

Step-by-step explanation:3 units away from zero forwards and back are both 3 but one is negative

7 0
2 years ago
Suppose that 5 out of 13 people are to be chosen to go on a mission trip. In how many ways can these 5 be chosen if the order in
algol [13]

5 People can be chosen  in 1287 ways if the order in which they are chosen is not important.

Step-by-step explanation:

Given:

Total number of students= 13

Number of Students to be selected= 5

To Find :

The number of ways in which the 5 people can be selected=?

Solution:

Let us use the permutation and combination to solve this problem

nCr=\frac{(n)!}{(n-r)!(r)!}

So here , n =13  and r=5 ,  

So after putting the value  of n and r , the equation will be

13C_5=\frac{(13)!}{(13-5)!(5)!}

13C_5=\frac{(13 \times12 \times11 \times10 \times9 \times8\times7 \times6 \times5 \times4 \times3 \times2 \times1)}{(8 \times7 \times6 \times5 \times4 \times3 \times2 \times1)(5 \times4 \times3 \times2 \times1)}

13C_5=\frac{(13 \times12 \times11 \times10 \times9 )}{((5 \times4 \times3 \times2 \times1)}

13C_5=\frac{154440}{120}

13C_5= 1287

8 0
3 years ago
(8-9)-(9+3)*5<br> 5+(5+5+6)+9<br> (5/3-3)<br> 2*3+(4*2)/2
pashok25 [27]

Answer:

If you need any further help, feel free to let me know

Step-by-step explanation:

The answers are

(8-9)-(9+3)*5=-61

5+(5+5+6)+9=30

(5/3-3)= -4 over 3 or -4/3 or -1.3 or -1 1/3 depends on what your choices are but all those are correct

2*3+(4*2)/2=10

6 0
2 years ago
PLZZZZ HELP What is the slope of a line that is perpendicular to a line whose equation is 3y=−4x+2 ?
earnstyle [38]

\bf 3y=-4x+2\implies y=\cfrac{-4x+2}{3} \\\\\\ y=\stackrel{\stackrel{slope}{\downarrow }}{-\cfrac{4}{3}}x+\cfrac{2}{3}\impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}


so the slope of that line above is really -4/3, now


\bf \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{-\cfrac{4}{3}}\qquad \qquad \qquad \stackrel{reciprocal}{-\cfrac{3}{4}}\qquad \stackrel{negative~reciprocal}{+\cfrac{3}{4}\implies \blacktriangleright \cfrac{3}{4} \blacktriangleleft}}

6 0
2 years ago
Please helppppppppp meeeeee​
vodka [1.7K]

Answer:

2 1/4

Before Simplifying:

9/4

After Simplifying:

2 1/4

4 0
2 years ago
Read 2 more answers
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