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VashaNatasha [74]
3 years ago
14

Six times the sum of a number and negative four is twelve. Find the number. Round your answer to the nearest integer, if necessa

ry.
Mathematics
1 answer:
GuDViN [60]3 years ago
3 0
If we call the number x, we can write an equation to solve:

6(x - 4) = 12
6 × x = 6x
6 × -4 = -24

So you get 6x - 24 = 12

6x - 24 = 12
+ 24
6x = 12
÷ 6
x = 2

And your final answer is 2, I hope this helps!
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AlekseyPX

Number of questions worth 5 points = 10

Number of questions worth 2 points = 25

Further explanation:

The given system is a system of linear equations in two variables.

We will use the subsitution method to solve the system

Given equations are:

x+y=35\\5x+2y=100

From equation no 1:

x+y=35\\x=35-y

Putting x=35-y in second equation

5x+2y=100\\5(35-y)+2y=100\\175-5y+2y=100\\-3y=100-175\\-3y=-75\\\frac{-3y}{-3}=\frac{-75}{-3}\\y=25\\Putting y=25 in first equation\\x+25=35\\x= 35-25\\x=10

Hence,

Number of questions worth 5 points = 10

Number of questions worth 2 points = 25

Keywords: Linear Equations, Substitution method

Learn more about substitution method at:

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Lady_Fox [76]

Rotation and reflection are instances of transformation

See attachment for the new position of  \triangle ABC

From the question, we have:

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C = (-2,4)

The rule of 90 degrees clockwise rotation is:

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Using the above transformation, the new points would be

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The next transformation is reflection over the x-axis

The rule of this transformation is:

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So, the new points would be:

A" = (1,-1)

B" = (3,-3)

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See attachment for the new points

Read more about transformation at:

brainly.com/question/11709244

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The length of line segment AD is 6.8 cm. The length of line segment AB is 3 cm. The length of line segment BC is 1.6 cm. Find th
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9.6

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