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2 years ago

How many minutes does it take the duck to fly 1 kilometer?

Mathematics

1 answer:

andreyandreev [35.5K]2 years ago

4 0

Answer:

0.25 minutes

Step-by-step explanation:

It will take 1/12 the time for the duck to fly 1/12 the distance. Therefore, it will take 3 * 1/12 minutes which is 0.25 (1/4 in fraction form).

Hope this helps :)

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Given the equation 5x − 4 = –2(3x + 2), solve for the variable. Explain each step and justify your process.

blagie [28]

A.
$5x-4=-2(3x+2) \ \ \ \ \ \ \ \ \ |\hbox{expand the bracket} \\
5x-4=-2 \times 3x-2 \times 2 \\
5x-4=-6x-4 \ \ \ \ \ \ \ \ \ \ \ \ \ |\hbox{add 6x to both sides} \\
11x-4=-4 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\hbox{add 4 to both sides} \\
11x=0 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\hbox{divide both sides by 11} \\
x=0$

B.
$3(2x-4)=5x-1 \\
6x-12=5x-1 \\
\boxed{11x-12=-1} \Leftarrow \hbox{the first mistake} \\
11x=11 \\
\boxed{x=11} \Leftarrow \hbox{the second mistake}$

Megan's solution isn't correct.
The first mistake: she subtracted 5x from the right-hand side of the equation, but added 5x to the left-hand side.
The second mistake: she divided the right-hand side of the equation by 11, but didn't divide the left-hand side.

The correct solution:
$3(2x-4)=5x-1 \ \ \ \ \ \ \ \ \ \ \ |\hbox{expand the bracket} \\
3 \times 2x+3 \times (-4)=5x-1 \\ 6x-12=5x-1 \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\hbox{subtract 5x from both sides} \\
x-12=-1 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\hbox{add 12 to both sides} \\
x=11$

3 0

3 years ago

The frequency table shows the favorite college football teams of middle school students.What fraction of the students chose soon

masya89 [10]

The fraction would be 5/20=1/4=.25 in decimal form.

4 0

3 years ago

Read 2 more answers

Is 3 1/2 cups more or less than 1 liter? Note: 1 cup is about 236.6 milliliters

Evgesh-ka [11]

Less by far because 3.5 cups would be less than half

6 0

3 years ago

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The length of a rectangle is 4 more than the width. Find the width of the rectangle if the area is 32.

Serggg [28]

Answer:

length = 8

width = 4

Step-by-step explanation:

Area = length x breadth

Let x represent the width

length = x + 4

32 = x × (x + 4)

32 = x² + 4x

x² + 4x - 32 = 0

solving using quadratic equation =

(x² - 4x) -32 + 8x

x = 4 or -8

since width cannot be a negative number, we would use 4

7 0

3 years ago

A map has a scale of 1/2 inch = 20 miles.

dangina [55]

Answer:

70*20=1400/2= 700. that's all

4 0

3 years ago