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3 years ago

Convert the following fraction to a percentage (round to the nearest tenth if needed). 3/7

Mathematics

1 answer:

lesantik [10]3 years ago

8 0

Answer:

$\huge\boxed{42.9 \%}$

Step-by-step explanation:

=> $\frac{3}{7}$

To make it a percentage, we need to multiply and divide it by 100

=> $\frac{3}{7} * \frac{100}{100}$

=> $\frac{300}{700}$

To make the denominator 100, we'll divide the numerator and denominator by 7

=> $\frac{300/7}{700/7}$

=> $\frac{42.9}{100}$

Percentage means out of hundred, so it becomes

=> 42.9 %

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Which equation has the same solution as this equation?

lesya [120]

Answer:

3rd Option is correct.

Step-by-step explanation:

Given Equation:

x² - 16x + 12 = 0

First We need to find solution of the given equation.

x² - 16x + 12 = 0

here, a = 1 , b = -16 & c = 12

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

$x=\frac{-(-16)\pm\sqrt{(-16)^2-4(12)}}{2}$

$x=\frac{16\pm\sqrt{256-48}}{2}$

$x=\frac{16\pm\sqrt{208}}{2}$

$x=\frac{16\pm4\sqrt{13}}{2}$

$x=8+2\sqrt{13}\:\:andx=8-2\sqrt{13}$

Now,

Option 1).

( x - 8 )² = 144

x - 8 = ±√144

x - 8 = ±12

x = 8 + 12 = 20 and x = 8 - 12 = -4

Thus, This is not correct Option.

Option 2).

( x - 4 )² = 4

x - 4 = ±√4

x - 4 = ±2

x = 4 + 2 = 6 and x = 4 - 2 = 2

Thus, This is not correct Option.

Option 3).

( x - 8 )² = 52

x - 8 = ±√52

x - 8 = ±2√13

x = 8 + 2√13 and x = 8 - 2√13

Thus, This is correct Option.

Option 4).

( x - 4 )² = 16

x - 4 = ±√116

x - 4 = ±4

x = 4 + 4 = 8 and x = 4 - 4 = 0

Thus, This is not correct Option.

Therefore, 3rd Option is correct.

8 0

3 years ago

City A is due north of City B. Find the distance between City A (36 degrees 6 prime36°6′ north latitude) and City B (21 degre

vitfil [10]

Answer:

distance = 994.75 miles

Step-by-step explanation:

given data

City A = 36°6′ = 36° + $\frac{6}{60}$ = 36.1° = 36.1° × $\frac{\pi}{180}$ = 0.6297 rad

City B = 21°42′ = 21° + $\frac{42}{60}$ = 21.7° = 21.7° × $\frac{\pi}{180}$ = 0.3785 rad

multiply by π/180 to convert the degree to radian

radius of Earth = 3960 miles

to find out

distance between City A and City B

solution

we first get here central angle between A and B city is

central angle between A and B city = 0.6297 rad - 0.3785 rad

and

now by arc length so we get distance

distance = 3960 miles × (0.6297 rad - 0.3785 rad )

distance = 994.75 miles

5 0

3 years ago

Find the slope <br> help with this please it’s due soon :)

GrogVix [38]

Undefined!! i hope this helps

4 0

3 years ago

You work at a fruit stand. You are putting fruit baskets together. You have 30 oranges, 24 bananas, 42 apples, and 12 peaches. W

vovikov84 [41]

Answer:

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Step-by-step explanation:

5 0

2 years ago

Please help this is due tomorrow

tia_tia [17]

Danielle had a percent error of 13.6 (farthest)
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7 0

3 years ago