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Vanyuwa [196]
2 years ago
10

Question 10 (1 point) Solve for x. 1/2+x/6=4/3

Mathematics
1 answer:
jek_recluse [69]2 years ago
5 0

Answer:

The value of x for the given expression is 5 .

Step-by-step explanation:

Given expression as

\dfrac{1}{2} + \dfrac{x}{6} = \dfrac{4}{3}

Now, arrange the equation

So, \dfrac{x}{6} = \dfrac{4}{3} - \dfrac{1}{2}

<u>Taking L.C.M on right hand side </u>

Or,  \dfrac{x}{6} = \dfrac{8 -3}{6}

Or,  \dfrac{x}{6} = \dfrac{5}{6}

Or, x = \frac{5\times 6}{6}

∴  x = 5

So, The value of x = 5

Hence,The value of x for the given expression is 5 . Answer

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snow_tiger [21]

Given

Shape of garden: Rectangle

Perimeter: 34 meters

Area: 72 square meters

Length of one side = x

Required

Find the dimension of the rectangle

Let the length of the other side of the rectangle be represented with y.

We start by writing out the perimeter of a rectangle

Perimeter, P = 2(L + B)

Where P is the perimeter; L and B are the length and width of the sides of the rectangle.

In this case L and B are represented by x and y

So,

P = 2(x + y)

By substituting 34 for P

34 = 2(x + y)

Multiply both sides by ½

½ * 34 = ½ * 2(x + y)

17 = x + y

Make y the subject of formula

y = 17 - x

Recall that the sides of the rectangle are represented by x and y.

Hence, the area of the rectangle is as follows.

Area = x * y

Substitute 72 for Area and 17 - x for y

72 = x(17 - x) --- Open bracket

72 = 17x - x² ---- Reorder

x² - 17x + 72 = 0

Now, we have a quadratic equation

Solving by factorisation

x² - 8x - 9x + 72 = 0

x(x - 8) - 9(x - 8) = 0

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y = 17 - x.

When x = 8

y = 17 - 8

y = 9

When x = 9

y = 17 - 9

y = 8

Writing out the result, we have

x = 8 , y = 9

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x = 9, y = 8

Hence, the dimension of the rectangle is 8 metres by 9 metres

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gayaneshka [121]

I think it would be 100°

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