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3 years ago

What is 3 divided by 2/3? Please explain, thanks!

Mathematics

1 answer:

Ulleksa [173]3 years ago

6 0

$3\div \dfrac{2}{3}=\\
3\cdot\dfrac{3}{2}=\\
\dfrac{9}{2}
$

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) Find the coordinates of the point A' which is the symmetric point

soldier1979 [14.2K]

Let, coordinate of point A' is (x,y).

Since, A' is the symmetric point A(3, 2) with respect to the line 2x + y - 12 = 0.

So, slope of line containing A and A' will be perpendicular to the line 2x + y - 12 = 0 and also their center lies in the line too.

Now, their center is given by :

$C( \dfrac{x+3}{2}, \dfrac{y+2}{2})$

Also, product of slope will be -1 .( Since, they are parallel )

$\dfrac{y-2}{x-3} \times -2 = -1\\\\2y - 4 = x - 3\\\\2y - x = 1$

x = 2y - 1

So, $C( \dfrac{2y -1 +3}{2}, \dfrac{y+2}{2})\\\\C( \dfrac{2y + 2}{2}, \dfrac{y+2}{2})$

Also, C satisfy given line :

$2\times ( \dfrac{2y + 2}{2}) + \dfrac{y+2}{2} = 12\\\\4y + 4 + y + 2 = 24\\\\5y = 18\\\\y = \dfrac{18}{5}$

Also,

$x = 2\times \dfrac{18}{5 } - 1\\\\x = \dfrac{31}{5}$

Therefore, the symmetric points is $A'(\dfrac{31}{5}, \dfrac{18}{5})$ .

7 0

2 years ago

What is the elapsed time from 6:45 am to 3:28 pm

Genrish500 [490]

6:45a to 7:45 = 1 hour

7:45 to 8:45 = 2 hours

8:45 to 9:45 = 3 hours

9:45 to 10:45 = 4 hours

10:45 to 11:45 = 5 hours

11:45 to 12:45 = 6 hours

12:45 to 1:45 = 7 hours

1:45 to 2:45 = 8 hours

2:45 to 3:00 = 8 hours and 15 minutes

then just add the 28 minutes to the 15 minutes

28 + 15 = 43

6:45a to 3:28p = 8 hours and 43 minutes.

Hope this helps.

3 0

3 years ago

What is subtract two-fifths from 4 times g as an algebraic expression.

MAVERICK [17]

Answer:

4g-2/5

Step-by-step explanation:

4 0

2 years ago

How close are a meter and a yard? Convert, 1 meter into yards by using the fact that there are 100 centimeters in a meter, 2.54

Sveta_85 [38]

Answer:

To convert 1 meter into yards

Using the given facts : 100 centimeters in a meter, 2.54 centimeters in an inch, 12 inches in a foot, and 3 feet in a yard.

we can write these as;

$1 m = 100 cm$

$1 inches = 2.54 cm$

$1 ft = 12 inches$ and

$1 yard = 3 ft$

1 ft = 12 inches

3 ft = $3 \times 12 = 36 inches$

Since,

1 inches = 2.54 cm

36 inches = 91.44 cm

Also,

1 m = 100 cm

1 cm = $\frac{1}{100} m$

then;

91.44 cm = $\frac{91.44}{100} =0.9144 m$

⇒ 1 yards = 0.9144 m

Divide both sides by 0.9144 we get;

1 meter = $\frac{1}{0.9144} = 1.0936133$ yards.

Therefore, the answer is, 1 m = 1.1 yards (nearest to tenth)

5 0

3 years ago

A farmer has 220 bushels of beans for sale at a farmer's market. He sells an average of 16 and three fourths bushels each day.

Artist 52 [7]

Answer:

The answer is= 119 Bushels and a half(119.5)

Step-by-step explanation:

Equation related to the problem= 220-(67/4)·T=bushels of Beans left

After 6 days=

220-(67/4·)6=bushels of Beans left

Bushels of beans left=119.5---> You need to change the dot for a fraction

119.5 is 119 bushes and a half so

The answer is= 119 Bushels and a half(119.5)

6 0

3 years ago