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3 years ago

Choose the mixed numeral that is equivalent to this decimal 3.242424...

Mathematics

1 answer:

Anastaziya [24]3 years ago

7 0

Answer:

First, we can write:

¯¯¯¯

Next, we can multiply each side by

100

giving:

100

324

¯¯¯¯

Then we can subtract each side of the first equation from each side of the second equation giving:

100

−

324

¯¯¯¯

−

¯¯¯¯

We can now solve for

as follows:

100

−

(

324

¯¯¯¯

)

−

(

¯¯¯¯

)

(

100

−

)

324

¯¯¯¯

−

¯¯¯¯

(

324

−

)

(

¯¯¯¯

−

¯¯¯¯

)

321

107

Now, we can convert this improper fraction to a mixed number:

107

¯¯¯¯

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If you expand the square, you have

$\dfrac{1}{4}x^2-3x=7x+8-10x$

Simplify the right hand side:

$\dfrac{1}{4}x^2-3x=-3x+8$

Cancel the -3x appearing on both sides:

$\dfrac{1}{4}x^2=8$

Multiply both sides by 4:

$x^2=32$

Consider the square root of both terms (using the doubles sign):

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4 years ago

X2 2 ab ab to b The diagian K n shows rectangle. The shade Find x.

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Answer:

x = 28 cm

Step-by-step explanation:

Given:

Area of link shaded regions = 84 cm²

Required:

The value of x (diameter of the semicircle/length of the rectangle)

Solution:

Diameter of the semicircle = 2r = x

Length of rectangle (L) = 2r = x

Radius of semicircle (r) = ½x

Width of rectangle (W) = radius of semicircle = ½x

Use 3.14 as π

Area of the link shaded regions = area of rectangle - area of semicircle

Thus:

Area of the link shaded regions = (L*W) - (½*πr²)

Plug in the values

84 = (x*½x) - (½*3.14*(½x)²)

84 = x²/2 - (1.57*x²/4)

84 = x²(½ - 1.57/4)

84 = x²(0.5 - 0.3925)

84 = x²(0.1075)

Divide both sides by 0.1075

84/0.1075 = x²

781.4 = x²

√781.4 = x

27.9535329 = x

x = 28 cm

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3 years ago

Your job in a company is to fill quart-size bottles of oil from a full 30-gallon oil drum. Then you are to pack 8 quarts in a ca

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Step-by-step explanation:

1 gallon = 4 quarts

Hence from 30 gallon oil drum, 30 x 4 = 120 quart-size bottles can be filled.

One case will pack 8 quart size bottles.

Hence number of cases = 120/8 = 15 cases

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3 years ago

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Answer:

$\frac{2}{7}$

Step-by-step explanation:

Given:

A car starts with a dull tank of gas

1/7 of the gas has been used around the city.

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What fractions of a tank of gas does each complete trip to Ottawa use?

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According to question:

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By unitary method:

The car can complete 3 trip by using = $\frac{6}{7}$ tank of gas.

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Answer:

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