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attashe74 [19]
3 years ago
13

Solve for z:

mula1" title="\frac{2z-3}{20} - \frac{z-6}{4} = 3" alt="\frac{2z-3}{20} - \frac{z-6}{4} = 3" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Allushta [10]3 years ago
6 0
Multiply both sides of the equation by 20. 2z-3-5(z-6)=60. 2z-3-5z+30=60. -3z-3+30=60. -3z+27=60. -3z=60-27. -3z=33. Divide both sides by 3. Answer is: Z= -11
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Solve for x.<br> Put your answer in decimal form.
liberstina [14]

Answer:

i don't know

Step-by-step explanation:

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What function is equivalent to g(x)=x2+15×-54
anastassius [24]

Answer:

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Step-by-step explanation:

3 0
3 years ago
The sum of two numbers is 11. Twice the greater number minus the lesser number is 7. what is the greater number&gt;?
Varvara68 [4.7K]

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Step-by-step explanation:

7 doubled is 14 then minus the lesser number is 11.

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3 years ago
Solve the following equations;-<br><br> x - 9 /√x + 3 =1
fgiga [73]

Answer:

13 , 6.

Step-by-step explanation:

A equation is given to us and we need to find out the value of x . The given equation to us is ,

\sf\implies \dfrac{ x -9}{\sqrt{x+3}}= 1

Cross multiply ,

\sf\implies x - 9 =\sqrt{ x +3}

Squaring both sides ,

\sf\implies (x - 9)^2 = x + 3

Simplify the whole square ,

\sf\implies x^2+9^2-2.9.x = x +3 \\

\sf\implies x^2+81 - 18x = x -3

Add 3 and subtract x on both sides ,

\sf\implies x^2 -18x-x +81-3=0

Simplify ,

\sf\implies x^2 -19x +78=0

Split the middle term of the quadratic equation,

\sf\implies x^2-13x-6x+78=0

Take out common ,

\sf\implies x( x -13)-6(x-13)=0

Take out ( x -13 ) as common ,

\sf\implies ( x -13)(x-6)=0

Equate both factors to 0 ,

\sf\implies \boxed{\pink{\sf x = 13,6}}

<u>Hence</u><u> the</u><u> </u><u>value</u><u> of</u><u> </u><u>x</u><u> is</u><u> </u><u>1</u><u>3</u><u> </u><u>or </u><u>6</u><u> </u><u>.</u>

7 0
3 years ago
This table shows the number of points two teams scored in five games
mezya [45]

Answer:

2.16

Step-by-step explanation:

The question is on mean absolute deviation

The general formula ,

Mean deviation = sum║x-μ║/N where  x is the each individual value, μ is the mean and N is number of values

<u>Team 1</u>

Finding the mean ;

mean= \frac{51+47+35+48+64}{5}  =49

Points     Absolute Deviation from mean

51                          2

47                         2

35                        14

48                         1

64                         15

<u>Sum    </u>                34          

Absolute mean deviation = 34/5= 6.8

<u>Team 2</u>

Finding the mean

mean=\frac{27+55+53+38+41}{5} = 42.8

Points                      Absolute deviation from the mean

27                                    15.8

55                                    12.2

53                                     10.2

38                                      4.8

41                                       1.8

<u>Sum                                 44.8        </u>

Absolute deviation from the mean = 44.8/5 =8.96

Solution

Difference in mean absolute deviation of the two teams = 8.96-6.8 = 2.16

5 0
4 years ago
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