a little mermaid can't swim 12 miles downstream in the same amount of time she can swim 8 miles upstream. What is the little mermaid speed's in still water if the speed of the current is 4mph

Answers

Answer 1

A little mermaid can't swim 12 miles downstream in the same amount of time she can swim 8 miles upstream. The little mermaid speed's in still water is: 4/5 mile per hour.

The distance of the miles can be estimated by using the formula:

distance = speed rate × time

[tex]\mathbf{time = \dfrac{distance}{ rate}}[/tex]

Let the current speed be = x

In the upstream direction;

the rate = swim speed - the current speed = 4  - x

in the downstream direction;

the rate = 4 + x

[tex]\mathbf{t = \dfrac{8}{4 -x}= \dfrac{12}{4+x}}[/tex]

By cross multiply;

8 (4 + x) = 12 (4 - x)

32 + 8x = 48 - 12x

8x + 12x = 48 - 32

20x = 16

x = 16/20

x = 4/5 mile per hour

Therefore, we can conclude that the little mermaid speed's in still water is 4/5 miles per hour.

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Related Questions

The Scientific Method Which of these is the best reason for doing more background research after making an observation and before forming a hypothesis? to find the answer without having to do an experiment to prevent making the same mistakes made in a prior experiment to fill the space in your lab report to make your data agree with prior experiments

Answers

Answer:

Step-by-step explanation:

The best reason for doing more background research after making an observation and before forming a hypothesis is to prevent making the same mistakes made in a prior experiment. It is to make sure that you are able to see the problems of a research and make an experimental design that will minimize the errors?

- A candy clerk has three times as many kilograms of chocolate creams as peanut clusters.
The clerk has 48 kg of the two candies altogether. How many kilograms of peanut clusters
does the clerk have?

Answers

The kilograms of peanut clusters that the clerk has will be 12 kilograms of peanut flusters.

Let the kilograms of peanut clusters = x

Let kilograms of chocolate creams = y = 3x

Therefore, from the information given, the equation to solve the question will be:

x + y = 48 kilograms

x + 3x = 48 kilograms

4x = 48 kilograms

x = 48 kilograms / 4

x = 12 kilograms

Therefore, the kilograms of peanut clusters that the clerk has will be 12 kilograms of peanut clusters.

In conclusion, the correct option is 12 kilograms.

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Someone help me pls, this is a distance time graph

Answers

Answer:

it's b

Step-by-step explanation:

just took the test

help me make a apple account and put the user and password please

Answers

Reply to comment I will help

What time is 13 hours past 1:00 am

Answers

Answer:

2 pm

Step-by-step explanation:

Answer:

I'm guessing it's 1:00pm? Or 2, not really sure, sorry

what is 13q - 9q + 5 = 17

Answers

the answer is: q=3

start by combining like terms (13q - 9q) which would leave you with 4q + 5 = 17. subtract 5 from both sides and you're left with 4q = 12. divide by 4 on both side and you get q = 3

Answer:

q=3

Step-by-step explanation:

13q - 9q + 5 = 17

13q - 9q = 17 - 5

4q = 12

4q/4 = 12/4

q = 3

Enter the number
10.333333333333
rounded to the nearest hundredth (two decimal places):

Answers

Answer:

Step-by-step explanation:

This decimal rounded to the nearest 1/100 is 10.33 The next 3 in the 1/1000 place, is not large enough to influence the 3 in the hundredth place.

So the answer is 10.33

(8) We pour water into a pool. Suppose that w = The amount of water in the pool (in gallons) at time t(in minutes) Given the following table of values for t and w: t 0 5 10 15 20 w 100 125 130 140 155 find the average rate at which water was poured into the pool from 0 minutes to 10 minutes. Include units in your answer. Show how you get your answer.

Answers

Answer:

Step-by-step explanation:

The average rate is just the slope of the function between t = 0 and t = 10, so we must calculate change in w / change in t. w(10) = 130. w(0) = 100. So, the slope = (130-100)/(10-0) = 30/10 = 3 gallons per minute.

PLEASE HELP ITS MATH THANK YOUUUU

Answers

Answer: The actual gym is 120 feet long.

Explanation:
24 * 5 = 120

Can someone please help me

Answers

Answer:

it is going to be B or C

Step-by-step explanation:

If I'm wrong I'm really sorry I'm along high school not college

What is an equation of the line that passes through the point (-5,-6) and is parallel to the line x+5y=25x+5y=25?

Answers

Answer:

[tex]y = - \frac{1}{5} x - 7[/tex]

Step-by-step explanation:

let's rewrite the equation

[tex]x + 5y = 25 \\ 5y = - x + 25 \\ y = - \frac{1}{5} x + 5[/tex]

Now let's use the given point and substitute it to find the y-intercept

[tex] - 6 = - \frac{1}{5} ( - 5) + b \\ - 6 = 1 + b \\ b = - 7[/tex]

The required solution of the given equation of the line that passes through the point (-5,-6) and is parallel to the line x+5y=25 is

[tex]y=\frac{-1x}{5} -7[/tex].

What is slope?

Numerical measure of a line's inclination relative to the horizontal. In analytic geometry, the slope of any line, ray, or line segment is the ratio of the vertical to the horizontal distance between any two points on it.

Given:

The point is  (-5,-6) and is parallel to the line x+5y=25.

According to given question we have

By use of slope we get

x+5y=25

5y=25-x

Divide both sides 5 we get,

y=-1/5x+5

Where m= -1/5

Now you can find the equation of the parallel line using

[tex](y-y_{0} )=m(x-x_{0})[/tex]

Put the given point as (-5,-6) we have,

[tex](y+6)=\frac{-1}{5} (x+5)\\\\y=\frac{-1x}{5} -1-6\\\\y=\frac{-1x}{5} -7[/tex]

Therefore, the required solution of the given equation of the line that passes through the point (-5,-6) and is parallel to the line x+5y=25 is

[tex]y=\frac{-1x}{5} -7[/tex].

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PLS HELP QUICK
Write an
equivalent expression (simplify): 14h + 12 - 8h - 3

Answers

Answer:

22h - 9

Step-by-step explanation:

14h + 12 - 8h - 3

14h + 8h + 12 - 3

22h + 12 - 3

22h + 9

Recibes un cierto embarque con la promesa de que no tiene más del 15% de ítems defectuosos. Si la proporción o porcentaje de ítems defectuosos es mayor queel15%,puedes solicitar una devolución. Tomas una muestra aleatoria de 10 ítems y encuentras 6ítems defectuosos. Ciertamente 6es más del 15% de la muestra.Presentas tu queja y te responden: el embarque tiene menos del 15% de ítems defectuosos. Si usted encontró 6 en su muestra, fue simplemente coincidencia o mala suerte, porque el embarque sí cumple con lo establecido.¿Cuál es la probabilidad de que realmente haya sido fruto de la coincidencia? ¿Cómo argumentarías para conseguir que te devuelvan el dinero?

Answers

Usando la distribución binomial, se encuentra que hay una probabilidad de 0.0012 = 0.12% que realmente haya sido fruto de la coincidencia. El argumento para conseguir que te devuelvan el dinero seria de que 6 ítems defectuosos es un resultado inusualmente alto.

Para cada ítem, solo hay dos resultados posibles. O está defectuoso o no lo es. La probabilidad de que un ítem sea defectuoso es independiente de cualquier otro ítem, lo que significa que se utiliza la distribución binomial para resolver esta cuestión.

Distribuición binomial:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

Los parámetros son:

n es el número de ensayos.p es la probabilidad de éxito en un ensayo x es el número de éxitos

La media de la distribución binomial es:

[tex]E(X) = np[/tex]

La desviación estándar de la distribución binomial es:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Una medida se considera inusualmente alta si está más de 2.5 desviaciones estándar por encima de la media.

En este problema:

10 ítems, o sea, [tex]n = 10[/tex]15% defectuosos, o sea, [tex]p = 0.15[/tex].

La probabilidad de que realmente haya sido fruto de la coincidencia es P(X = 6), o sea:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 6) = C_{10,6}.(0.15)^{6}.(0.85)^{4} = 0.0012[/tex]

Probabilidad de 0.0012 = 0.12% que realmente haya sido fruto de la coincidencia.

Para el argumento:

[tex]E(X) = np = 10(0.15) = 1.5[/tex]

[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{10(0.15)(0.85)} = 1.13[/tex]

[tex]6 > 1.5 + 2(1.13)[/tex], o sea, el argumento para conseguir que te devuelvan el dinero seria de que 6 ítems defectuosos es un resultado inusualmente alto.

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Select all the statistical questions.
A. How many nickels does it take to make a dollar?
B. In what year was the first penny made in the United States?
C. Among all the pennies at a bank, what is the most frequent year the pennies were made?
D. Which coin (penny, nickel, dime, or quarter) is used most frequently in transactions at a bank?
E. On average, how many pennies do people receive in change when they make a purchase at a
store?

Answers

C, D, and E would all be Statistical Questions.

which number line shows the following number plotted correctly -0.5,7/4,0.75,-9/4

Answers

D, Because there are two negative numbers must be before zero and three positive numbers must be after zero so the right answer is D i'm sure

-0.5 is between -1 and 0

7/4 = 1.75 is between 1.5 and 2

0.75 is between 0 and 1

-9/4 = -2.25 is after -2

1.25 is between 1 and 1.5

A grocery store offers a cheese and fruit sampler that combines cheddar cheese that costs $8 per kilogram with kiwis that cost $3 per kilogram. How many kilograms of each were used to make a 5 kg mixture that costs $4.50 per kilogram?

Answers

Answer:

I have 1000$ i wanna buy it

Step-by-step explanation:

Answer is 2.1 kg and 2.9 kg.

What is an equation?

A mathematical definition of an equation is a claim that two expressions are equal and joined by the equals sign "=".

Given that,

Amount of cheese = $8 per kg

Amount of kiwis = $ 3 per kg

Assume

X = quantity of chees

Y = quantity of kiwi

According to the given information,

X + Y = 5  ...(i)

8X + 3Y = (5)4.50    ....(ii)

From (ii) = 3x(i),

5x = 10.5

 x = 2.1 kg

Now put the value of x into (i),

y = 2.9 kg

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Which equations have no solution? Check all that apply.
- 1x] = 0
[x] =-15
0 - x = 12
-|-x] = 9
-|-x] = -2

Answers

Answer:

- 1x] = 0

[x] =-15

Suppose the sum of two integers is negative. Must both be negative

Answers

No, because -5+3=-2 This is the same as 3-5=-2.

Answer: Not necessarily. There are many ways to write a basic equation with a negative answer. For example, -3-4 = -7.

Step-by-step explanation:

1. In each table, determine if y is proportional to x. Explain why or why not.
1.
x
y
2.
х
y
3.
х
y
3
12
3
15
6
4
5
20
4
17

9
6
2
8
LO
19
12
8
8
32
6
21
3
2
1.
2.
3.
everyone was a little confused sooo this is better!!

Answers

Answer:

3 is the answer

Step-by-step explanation:

ooooooooooooooooooooo

First calculate the Subsets for set, then calculate the number of proper subsets {10,19,5,0}

Answers

The subsets of {10, 19, 5, 0} are

{ } - the empty set, or 1 subset of size 0

{10}, {19}, {5}, {0} - 4 subsets of size 1

{10, 19}, {10, 5}, {10, 0}, {19, 5}, {19, 0}, {5, 0} - 6 subsets of size 2

{10, 19, 5}, {10, 19, 0}, {10, 5, 0}, {19, 5, 0} - 4 subsets of size 3

{10, 19, 5, 0} - 1 subset of size 4

A proper subset of a set is any subset of that set that is not equal to that set. The only subset that is not a proper subset is {10, 19, 5, 0}, since that's the set itself. So there are 15 proper subsets.

In general, a set of size n has a total of 2ⁿ subsets, and 2ⁿ - 1 proper subsets.

I WILL GIVE YOU 100 POINTS AND THE BRAINLEST ANSWER

What percent is 29 dollars out of 122.50 and what percent of 122.50 is it?
What percent is 28.50 dollars out of 122.50 and what percent of 122.50 is it?
What percent is 33 dollars out of 122.50 and what percent of 122.50 is it?
What percent is 32 dollars out of 122.50 and what percent of 122.50 is it?

Answers

Answer:

See below

Step-by-step explanation:

What percent is 29 dollars out of 122.50 and what percent of 122.50 is it?

29/122.50*100% = 23.67%

What percent is 28.50 dollars out of 122.50 and what percent of 122.50 is it?

28.50/122.50*100% = 23.27%

What percent is 33 dollars out of 122.50 and what percent of 122.50 is it?

33/122.50*100% = 26.94%

What percent is 32 dollars out of 122.50 and what percent of 122.50 is it?

32/122.50*100% = 26.12%

Note: all results are rounded to the nearest hundredths

How many pizzas are needed for 5 children and for each one to eat ⅕.

Answers

Answer:

1

Step-by-step explanation:

If each child eats 1/5 slices, and there are 5 children then you have to multiply 5 by 1/5.

5* 1/5= 1

Hope this helps!

I NEED HELP ASAP PLS!!!!!!!!!!!

Answers

Answer:

-2x-0.7

Step-by-step explanation:

for me that is the best answer

Determine which of the following is a geometric sequence.
A. 2, 5, 8, 11
B. 2, -6, -18, -24
C. 3, -6, 12, -24
D. 3, 6, 18, 36

Answers

Step-by-step explanation:

A is in geometric sequence as 3 is added in the number,

2 + 3 = 5, 5 + 3 = 8, 8 + 3 = 11

hope this answer helps you dear...take care and may u have a great day ahead!

how many times does 15 go into 745.3?

Answers

Answer:

49 times

Step-by-step explanation:

You can divide 745.3 by 15 to see that 49 fifteens will fit in 745.3

Answer:

49 times

Step-by-step explanation:

745.3 / 15 = 15.68666...

Which translates to 15 times.

PLEASE MARK AS BRAINLIEST!!!!!

here's another one I need to know

Answers

Step-by-step explanation:

[tex] \frac{27m {}^{5} }{n} [/tex]

what is the answer to
5x=40

Answers

Answer:

X has to be 8, so 5x8=40

Step-by-step explanation:

In a recent year, 27.4% of all registered doctors were female. If there were 55,600 female registered doctors that year, what was the total number of registered doctors?

Answers

Answer:

The total number of registered doctors is 202,920 rounded.

Step-by-step explanation:

Solve for (x) in this equation: 27.4/100 = 55,600/(x)

You will get the following equation: (x)= (100*55,600) / (27.4) which equals 202,919.708 rounded to 202,920

To double check, you can see that 27.4% of the total given (202,920) equals the 55,600.

What is the answer to number 4

Answers

C. 2.56
yea it’s pretty simple answer just add all the variables and minus it from the total

Which of the functions below could have created this graph?
A. F(x) = x2 + x2+x+1
B. F(x)= x2 +5
F*+6
c. - *-+*
(-)y-
D

Answers

Answer:

only D is negative on the leading term

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