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exis [7]
3 years ago
8

Four times the sum of half a number and 6 is 48

Mathematics
1 answer:
katrin [286]3 years ago
6 0

Answer:

<h3>The number is 12</h3>

Step-by-step explanation:

Let the number be x

Half a number is written as 1/2x

So we have

Four times the sum of half a number and 6 is 48 is written as

4( \frac{1}{2} x + 6) = 48 \\ 2x + 24 = 48 \\ 2x = 48 - 24 \\ 2x = 24

Divide both sides by 2

That's

\frac{2x}{2}  =  \frac{24}{2}

We have the final answer as

<h3>x = 12</h3>

Hope this helps you

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Step-by-step explanation:

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Plot point C(2,7). If M is the midpoint of CD , what are the coordinates of D?
Y_Kistochka [10]

Answer:

The coordinates of D is (-4,-9)

Step-by-step explanation:

Given

C = (2,7)

<em>M=(-1,-1)  ----- Missing part of question</em>

Required

Determine the coordinates of D

<em>Let the coordinates of D be (x₂,y₂)</em>

<em>We'll solve this question using mid point formula;</em>

<em></em>M(x,y) = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})<em></em>

<em>Where</em>

C(x_1,y_1) = (2,7)    and     M(x,y) = (-1,-1)

Put these values in the formula

(-1,-1) = (\frac{2+x_2}{2},\frac{7+y_2}{2})

By comparison;

-1 = \frac{2+x_2}{2}  and -1 = \frac{7+y_2}{2}

-1 = \frac{2+x_2}{2}

Multiply both sides by 2

-2 = 2 + x_2

Subtract 2 from both sides

-2 -2 = x_2

x_2 = -4

-1 = \frac{7+y_2}{2}

Multiply both sides by 2

-2 = 7 + y_2

Subtract 7 from both sides

-2 - 7 = y_2

y_2 = -9

<em>Hence, the coordinates of D is (-4,-9)</em>

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3 years ago
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yKpoI14uk [10]

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Step-by-step explanation:

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3 years ago
Read 2 more answers
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Answer:

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Step-by-step explanation:

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(round off to one decimal place)

b=1.1

Hope its helps ❤️

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2 years ago
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