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navik [9.2K]
3 years ago
15

-0.5(x + 0.3) – 0.2x = 4.1

Mathematics
1 answer:
lys-0071 [83]3 years ago
3 0

Answer:

x=-8

Step-by-step explanation:

I always change the decimals into whole numbers by multiplying them by 10.  If you do this, it is much easier to solve.  All you do is multiply every term by 10.

the equation changes to

-5(x+3)-2x=41

-5x-15-2x=41

combine like terms

-7x-15=41

bring the 15 over to the 41

-7x=56

divide everything by 7

-x=8

change x to a positive

x=-8

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4 0
3 years ago
Find the perimeter of the larger Octagon.
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5 0
3 years ago
In each of the following ,make y the subject and hence find the value of y when a=2, b=3 ,and c=4.
zvonat [6]

Part i


\dfrac{2a-7}{6y} = \dfrac{3b-5}{2c}


y = \dfrac{ 2c(2a-7)}{6(3b-5)} = \dfrac{c(2a-7)}{9b-15}


Substituting,

y = \dfrac{4(2(2)-7)}{9(3)-15} = \dfrac{ -12}{12} = -1


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Part ii


I'm not sure that one's typed in correctly but I'll solve it as written.


3-34y + 2a = \dfrac{3b-5}{2c + 1}


34y  = 3+2a-\dfrac{3b-5}{2c + 1}


y = \frac 1 {34}\left(3+2a-\dfrac{3b-5}{2c + 1} \right)


We're not asked to simplify it so I wont. Substituting,


y = \frac 1 {34}\left(3+2(2)-\dfrac{3(3)-5}{2(4) + 1} \right) = \frac 1 {34}(7-4/9) = \dfrac{59}{306}


Answer: 59/306



3 0
3 years ago
Which is a factor of 6x^3y+6xy-12x^2-12
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6 0
3 years ago
Triangle MNO is rotated 180 using the origin as the center of rotation .Which sequence of transformations will produce the same
stiks02 [169]

180° rotation about the origin changes the signs of the coordinates.

(x, y) → (-x, -y)

It is a reflection over the y-axis and a reflection over the x-axis (in either order).

<em>You did not provide the options so hopefully you can figure out the answer based on the information I provided.</em>


5 0
3 years ago
Read 2 more answers
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