1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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

You might be interested in
What is the inradius of a triangle with side lengths 9, 40, and 41?
Mars2501 [29]

Answer: 20.5

Step-by-step explanation:

From the measure of the length of the sides of the triangle, 9, 40 and 41 we can infer that the triangle is a right angled triangle. 9-40-41 is a Pythagorean triplet.

In a right angled triangle, the circumradius is half the hypotenuse.

In the given triangle, the hypotenuse = 41.

Therefore, the circumradius is  41÷2= 20.5 units.

6 0
2 years ago
UPS charges $7 for the first pound and $0.20 for each additional pound. FedEx charges $5 for the first pound and $0.30 for each
mixas84 [53]

Answer:

1. 20 pounds

2. $11

Step-by-step explanation:

To set this up, you have to use a system of equations. It would look like this, where  is pounds and  is total cost:

UPS:

FedEx:

In order to solve a system of equations you must either a.) graph it, or b.) set them equal to each other.

If you graph it, the answer is where the two lines intersect.

If you set them equal to each other, solve it.

I will set them equal to each other in this:

The first step in a problem like this, where there's the same variable on both sides, is to subtract the smaller variable from both sides. In this case, it is  . That would turn the equation into:

After that, you must solve it like a regular two-step equation.

Start by subtracting 5 from both sides:

Now, you must divide both sides by .

That would give us:

This means that in order for the prices to be the same, the package must be 20 pounds.

Now in order to find the total cost, you must plug 20 into one of the equations. It doesn't matter which, since they both equal the same. I will plug it into the FedEx equation:

Now you can just use a calculator and solve that or do it by hand. Multiply 0.30 by 20, to get 6, then add 5, which equals 11.

You should get: .

This means that the total cost, when the costs are the same for both FedEx and UPS, is $11.

5 0
2 years ago
Simplify. 32 + 5 × 2 − 8 A) −84 B) 8 C) 11 D) 20
navik [9.2K]

32 + 5 × 2 − 8

32+10-8

42-8= 34

The answer should be 34 but I don't see it up there

:/

4 0
3 years ago
Read 2 more answers
P(7, - 2); y= 7x+4= 4<br><br><br> PLEASE HELP
Mars2501 [29]

Answer:

x= - 16

Step-by-step explanation:

substitute y=0 then multuply both sides move the variable to the left and change the sign.

3 0
2 years ago
The weight, in pounds, of a newborn baby tt months after birth can be modeled by the function W(t)=1.25t+6.W(t)=1.25t+6. What is
ollegr [7]

Answer:

6

Step-by-step explanation:

GIVEN: The weight, in pounds, of a newborn baby t months after birth can be modeled by the function W(t)=1.25t+6.

TO FIND: What is the y-intercept of the function and what is its interpretation in the context of the problem.

SOLUTION:

in  W(t)=1.25t+6

if t=0

W(0)=6

Hence y-intercept is 6

the y-intercept in this represents the weight of baby just after he is born.

8 0
3 years ago
Other questions:
  • What is the following quotient? StartFraction StartRoot 6 EndRoot + StartRoot 11 EndRoot Over StartRoot 5 EndRoot + StartRoot 3
    8·2 answers
  • 14.90hr with a 10% raise in hourly pay every year. What is my rate of pay after 2 years
    7·1 answer
  • X²y∧5·(–6xy∧2)
    15·1 answer
  • The base of f(x)=2^x is
    14·1 answer
  • For the function f(x) = −2(x + 3)2 − 1, identify the vertex, domain, and range. The vertex is (3, −1), the domain is all real nu
    13·2 answers
  • Plssss helppppppppppppp
    9·1 answer
  • PLEASE I NEED HELP WILL GIVE BRAINLY!!! HELP ME FIND THE SLOPE AND Y INTERCEPT AND WRITE IT IN Y=MX+B FORM !!!​
    9·2 answers
  • Question 8 of 1010 Points
    10·1 answer
  • Calculate the Unit Rate for each item and circle the better buy.
    8·1 answer
  • [Due TOMORROW] In the standard (w.y) coordinate plane, the point (3,-7)
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!