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Advocard [28]
3 years ago
15

Solve for x. -0.65 + 0.45x = 5.4

Mathematics
1 answer:
FinnZ [79.3K]3 years ago
3 0

Answer:

x = 13.444 ... (repeating decimal) or;

x = 13 4/9

Step-by-step explanation:

-0.65 + 0.45x = 5.4

First we will add 0.65 to each 'side' of the equation.

0.65 + (-0.65) + 0.45x = 0.65 + 5.4

        0.65 + (-0.65) = 0

        0.65 + 5.4 = 6.05

Input the numbers, and now the equation looks like this:

0 + 0.45x = 6.05

Remove the zero:

0.45x = 6.05

Divide each 'side' by 0.45.

0.45x ÷ 0.45 = 6.05 ÷ 0.45

        0.45x ÷ 0.45 = 1x = x

        6.05 ÷ 0.45 = 13.444 ... repeating decimal

Input the numbers, and now the equation looks like this:

x = 13.444 ... repeating decimal

We can also write this as:

x = 13 4/9 in fraction form

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Find a way to use 1, 2, 3, and 4 to get 5.<br>​
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1 × 3 + 4 - 2 = 5

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On a coordinate plane, parallelogram H I J K is shown. Point H is at (negative 2, 2), point I is at (4, 3), point J is at (4, ne
nasty-shy [4]

HIJK is a parallelogram because the midpoint of both diagonals is

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Step-by-step explanation:

If (x , y) is the mid-point of a segment whose end points are (x_{1},y_{1})  and  (x_{2},y_{2})  then,

  • x=\frac{x_{1}+x_{2}}{2}
  • y=\frac{y_{1}+y_{2}}{2}

In a parallelogram, its diagonals intersect each other at their mid-points

that means its diagonals bisect each other

∵ HIJK is a quadrilateral

∵ HJ and IK are its diagonals

∵ H = (-2 , 2)

∵ J = (4 , -2)

- Find the mid point of HJ  

∵ M_{HJ}=(\frac{-2+4}{2},\frac{2+-2}{2})

∴ M_{HJ}=(\frac{2}{2},\frac{0}{2})

∴ M_{HJ}=(1,0)

∴ The mid-point of HJ is (1 , 0)

∵ I = (4 , 3)

∵ K = (-2 , -3)

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∵ M_{IK}=(\frac{4+-2}{2},\frac{3+-3}{2})

∴ M_{IK}=(\frac{2}{2},\frac{0}{2})

∴ M_{IK}=(1,0)

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∵ The mid-points of HJ and IK are equal

∴ HJ and IK bisects each other

∴ HIJK is a parallelogram because its diagonals bisect each other

HIJK is a parallelogram because the midpoint of both diagonals is

(1 , 0), which means the diagonals bisect each other

Learn more:

You can learn more about parallelogram in brainly.com/question/6779145

#LearnwithBrainly

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M men and w women seat themselves at random in m+w seats arranged in a row. find the probability that all the women will be adja
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The <em>correct answer</em> is:


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Explanation:


We want all <em>w</em> women to be seated together. There are <em>w</em>! ways to do this.


Since all women are seated together, we consider the as 1 block to be seated with the men.


There are <em>m</em>! ways of arranging the men. However, we also have the 1 block of women to seat; this makes (<em>m</em>+1)! ways to seat the men and block of women.


There are (<em>m</em>+<em>w</em>)! ways to arrange all of the men and women.


This makes our probability

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