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3 years ago

3/5 divided by 4

Mathematics

1 answer:

Vesna [10]3 years ago

3 0

$\bold{Hey\ there!}$

$\bold{\frac{3}{5}\div\frac{1}{4}}$

$\bold{1\times3=3\ ;\ 5\times4=20}$
$\bold{3\rightarrow numerator}$
$\bold{20\rightarrow denominator}$
$\boxed{\boxed{\bold{Answer:\frac{3}{20}}}}\checkmark$

$\bold{Good\ luck\ on\ your\ assignment\ and\ enjoy\ your\ day!}$

~ $\frak{LoveYourselfFirst:)}$

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3 years ago

An oil tank has to be drained for maintenance. The tank is shaped like a cylinder that is 3ft long with a diameter of 2.2 ft . S

Contact [7]

4 minutes 34 seconds will takes to empty the tank, if the starts completely full and oil drained at a rate of 2.5 $ft^{3}$ per minute.

Step-by-step explanation:

The given is,

Tank is shaped like a cylinder that is 3 ft long with a diameter of 2.2 ft.

Oil drained at a rate of 2.5 $ft^{3}$ per minute.

Step:1

Time taken to dry the oil tank is,

T = $\frac{Volume of oil}{Oil drain rate}$ ....................................(1)

Step:2

Volume of the oil is,

$V = \pi r^{2} h$ .................................................(2)

Where, r - Radius of Cylinder

$r = \frac{d}{2}$

$r = \frac{2.2}{2}$

r = 1.1 ft

From eqn (1),

V = $\pi$ × $1.1^{2}$ × 3

= 11.40398 $ft^{3}$

Step:3

From equation (1)

= $\frac{11.40398}{2.5}$

= 4.56

= 4.56 minutes

T = 4 minutes 34 seconds

Result:

Time taken to dry the oil tank is 4 minutes 34 seconds, if a cylinder is 3 ft long with a diameter of 2.2 ft and oil is drained at a rate of 2.5ft^3 per minute.

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2 years ago

What is <br><br> 3x+2y=-13<br> 3x+4y=1

Zepler [3.9K]

Answer:

The values are

x = -25/9 = -2 7/9

y = 7/3 = 2 1/3

Step-by-step explanation:

3x + 2y = -13 --------eqn 1

3x + 4y = 1-------------eqn2

Using eqn 2 to get the value of y

3x + 4y = 1

4y = 1 - 3x

Dividing both sides by 4,to get y

4y/4 =( 1 -3x) / 4

y = (1 - 3x) / 4

Since we've gotten the value for y, substitute the value into eqn 1

3x + 2y = -13

3x + 2(3x - 1)/4 = -13

Opening the bracket

3x + (6x - 2)/4 = -13

LCM = 4

(12x + 6x - 2) / 4 = -13

18x - 2 / 4 = -13

Then we cross multiply

18x - 2 = -13 * 4

18x - 2 = - 52

18x = -52 + 2

18x = -50

Divide both sides by 18, to get the value of x

18x/18 = -50/18

x = -25/9

or x = -2 7/9

The value of x is now known, so let's go back to eqn 2

Substitute x = - 25/9

3x + 4y = 1

3(-25/9) + 4y = 1

Open the bracket

-75/9 + 4y = 1

Make y the subject of the formula

4y = 1 + 75/9

LCM = 9

4y = (9 + 75)/ 9

4y = 84/9

To get y, divide both sides by 4

4y/4 = 84/9 / 4/1

y =

Note : when division changes to multiplication, it always be in its reciprocal form

y = 84/9 / 1/4

y = 84 * 1 / 9 *4

y = 84/ 36

y = 7/3

y = 2 1/3

4 0

3 years ago