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stiks02 [169]
2 years ago
5

The same number of people live on the islands Beautiful Sunrise and Gorgeous

Mathematics
1 answer:
aev [14]2 years ago
7 0

Using the percentage concept, it is found that 75% of the population of Gorgeous Sunset is on Beautiful Sunrise now.

<h3>What is a percentage?</h3>

The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:

P = \frac{a}{b} \times 100\%

In this problem, we have that:

  • We consider that the population of both Beautiful Sunrise and Gorgeous Sunset islands is of x.
  • There is a fiesta at Beautiful Sunrise, and a number a of people from Gorgeous Sunset are coming, hence, there will be x + a people at Beautiful Sunrise and x - a people t Gorgeous Sunset.

The percentage of people from Gorgeous Sunset is on Beautiful Sunrise now is:

P = \frac{a}{x} \times 100\%

Now the number of people on Beautiful Sunrise is seven times the number of people on Gorgeous Sunset, hence:

\frac{x + a}{x - a} = 7

We can find a <u>as a function of x</u> to find the percentage:

\frac{x + a}{x - a} = 7

7(x - a) = x + a

7x - 7a = x + a

8a = 6x

a = \frac{3x}{4}

Then, the percentage is:

P = \frac{a}{x} \times 100\%

P = \frac{\frac{3x}{4}}{x} \times 100\%

P = \frac{3}{4} \times 100\%

P = 75\%

75% of the population of Gorgeous Sunset is on Beautiful Sunrise now.

You can learn more about the percentage concept at brainly.com/question/10491646

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6(-3r)=-39+3r what is the answer and work
masha68 [24]
<span>6(-3r)=-39+3r
-18r = -39+3r
39 = 18r + 3r
39 = 21r
39/21 = r
13/7 = r
r = 13/7</span>
8 0
3 years ago
PLEASE HELP T-T
jolli1 [7]

Answer:

D.) He jogged 5 miles west and 12 miles north

Step-by-step explanation:

if you think of this as a right angled triangle, you are trying to work out the hypotenuse (longest side)

the formula is a^{2} + b^{2} = c^{2}

so, 5^{2} + 12^{2} = 169

169 = the hypotenuse^{2}

\sqrt{169} = 13 miles

8 0
3 years ago
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If x = 8 and n = 3, Evaluate the following expression: 3x - 3n + 2
Firlakuza [10]

Answer:

7

Step-by-step explanation:

3x8-3x3+2

24-3x3+2

24-9+2

15+2

=17

5 0
3 years ago
Find a rational number and an irrational number that are between 5.2 and 5.5. Include the decimal approximation of the irrationa
maw [93]

Answer:

  • Rational: 5.39
  • Irrational: √29 ≈ 5.39

Step-by-step explanation:

Any number you can write completely that has a value between the given numbers will be a suitable rational number.

There are many ways to find irrational numbers in the given range. You can make one up, such as ...

... 5.3102003000400005000006...

a non-terminating, non-repeating decimal. (This one has a pattern that makes it easy to extend, but that doesn't make it rational.)

Or, you can use roots, logs, trig functions, exponential functions, or any of the other functions we study that have irrational values. You can add, subtract, or combine them in other ways. (tan(70°)+∛20, for example) For this, I chose √29, because that square root is between the given numbers and 29 is not a perfect square.

5 0
3 years ago
What is the diameter and circumference of 6.7
irinina [24]

3.572

Area of a circle in terms of radius:

Area = π · r2 = 3.14 · 1.072 = 3.57 square meters.

In terms of diameter:

Area = π · (d

2

)2 = 3.14 · (2.13

2

)2 = 3.14 · (1.07)2 = 3.57 square meters.

In terms of circumference:

Area = C2

4π

= 6.72

4π

= 44.89

(4 · 3.14)

= 44.89

12.56

= 3.57 square meters.

Note: for simplicity, some results may be rounded to nearest hundredth and π was rounded to 3.14. See formula details below in this page.

A circle of radius = 1.066 or diameter = 2.133 or circunference = 6.7 meters has an area of 3.572 square meters which is equal to:

3.572E-6 square kilometers (km²)

35720 square centimeters (cm²)

0.0008827 acres (ac)

0.0003572 hectares (ha)

1.379E-6 square miles (mi²)

4.272 square yards (yd²)

38.45 square feet (ft²)

5537 square inches (in²)

Formulae:

Circle area formula

8 0
3 years ago
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