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MrMuchimi
3 years ago
9

The result of which expression will best estimate the actual product of (-4/5) (3/5) (-6/7) (5/6)?

Mathematics
2 answers:
Angelina_Jolie [31]3 years ago
6 0

Answer:

B (-1) (1/2) (-1) (1)

Step-by-step explanation:

Given expression,

(\frac{-4}{5})( \frac{3}{5})( \frac{-6}{7} )(\frac{5}{6})

By the product rule of fractions,

=\frac{-4\times 3\times -6\times 5}{5\times 5\times 7\times 6}

=\frac{12}{35}

\approx 0.3429

In option A,

(-1)( \frac{1}{4})(-1 )(-1 )

=-\frac{1}{4}=-0.25

In option B,

(-1) \frac{1}{2} (-1) (1)

=\frac{1}{2}=0.50

In option C,

(-\frac{4}{2})( \frac{3}{2})( \frac{-2}{5} )(\frac{5}{2})

=3

In option D,

(-\frac{3}{4})( -\frac{3}{4})( -\frac{1}{5} )(\frac{1}{2})

=-\frac{9}{160}=-0.05625

Hence, the result of expression B would best estimate the actual product in given expression.

Over [174]3 years ago
6 0

Answer:

it is B

Step-by-step explanation:

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If a is an integer, prove that (14a + 3, 21a + 4) = 1.
Firdavs [7]

Answer:

(14a+3, 21+4) = 1

Step-by-step explanation:

We are going to use the Euclidean Algorithm to prove that these two integers have a gcd of 1.

gcd (14a + 3, 21a + 4) = gcd (14a+3, 7a + 1) = gcd (1, 7a+1) = 1

Therefore,

(14a + 3, 21a + 4) = 1

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2 years ago
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This is what I learned:

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8 0
3 years ago
Trigonometry
Alla [95]

90° is equal to  \frac{\pi}{2} or 1.5707 radians.

Step-by-step explanation:

Step 1:

If an angle is represented in degrees, it will be of the form x°.  

If an angle is represented in radians, it will be of the form \frac{\pi}{x} radians.

To convert degrees to radians, we multiply the degree measure by \frac{\pi}{180}.

For the conversion of degrees to radians,

the degrees in radians = (given value in degrees)(\frac{\pi}{180}).

Step 2:

To convert 90°,

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0.5 \pi = 1.5707 radians.

So 90° is equal to \frac{\pi}{2} or 1.5707 radians.

3 0
3 years ago
Jenny drives from Paris to Rochefort, a distance of 483 km. her average speed on the journey is 84 km/h, she leaves at 9:50. Wha
Mrrafil [7]

The correct answer is 3: 35

Explanation:

To calculate at what time Jenny will arrive in Rochefort, the first step is to calculate the approximate time of the trip. Now, to calculate this consider the time of a movement (t) equals to the distance (d) divided by the speed (s), the process is shown below:

t = 483 km / 84 km/h

t = 5.75 hours

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Add the hours: 5 hours + 9 hours: 14 hours

Add the minutes: 50 minutes + 45 minutes =95 minutes

95 minutes are equivalent to 1 hour (60) minutes and 35 minutes

Calculate the total

Hours: 14 hours + 1 hour = 15 hours or 3  in the 12 hour system (15 hours - 12 hours = 3 p.m.)

Minutes: 35 minutes

4 0
3 years ago
Of the 20 plants in Melissa's
vagabundo [1.1K]

Answer:

35 % are herbs

Step-by-step explanation:

7    = 35

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6 0
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