2/3 of the boats in the marina are white. 4/7 of the remaining boats are blue , and the rest are red . If there are 15 red boats, how many boats are in the marina?

Answers

Answer 1

Answer: The total boats in the marina are 105.

Step-by-step explanation:

Let the total number of boats in the marina = x

Given : Number of white boats in the marina = [tex]\frac{2}{3}x[/tex]

Number of blue boats in the marina = [tex]\frac{4}{7}\times (x-\frac{2x}{3})=\frac{4}{7}\times \frac{x}{3}=\frac{4x}{21}[/tex]

Number of red boats in the marina = [tex]x-\frac{2x}{3}-\frac{4x}{21}=\frac{3x}{21}[/tex]

Given : Number of red boats in the marina = 15

[tex]\frac{3}{21}\times x=15[/tex]

[tex]x=105[/tex]

Thus total boats in the marina are 105.

Answer 2

By working with fractions and proportions, we will see that there are 105 boats in the marina.

Working with the given information:

Let's say that there are N boats in the marina, we know that:

2/3 of these are white, then the proportion of boats that are not white is:

1 - 2/3 = 3/3 - 2/3 = 1/3.

Of these, 4/7 are blue, then the proportion of red ones is:

1 - 4/7 = 7/7 - 4/7 = 3/7

The total proportion of red boats is:

(3/7)*(1/3) = 1/7

And we know that there are 15 red boats, this means that:

(1/7)*N = 15

Solving for N we get:

N = 7*15 = 105

So there are 105 boats in the marina.

If you want to learn more about fractions, you can read:

https://brainly.com/question/11562149


Related Questions

Write the equation that expresses the table below.

Answers

the correct answer is the third circle, y= 10x

Answer:

10x=y

Step-by-step explanation:

Divide your outputs by your inputs. In other words, divide 20 by 2, 50 by 5, and 70 by 7. These all equal 10. Therefore, 10 times x will equal y.

Two people push against a 113 kg refrigerator in opposite directions with forces of 140 N
and 190 N, respectively.
What would be the resulting acceleration of the refrigerator

Answers

Answer:

Results in 27 N in the direction of the person pushing with 140 N

Step-by-step explanation:

140-113=27 N

Sorry, if I did wrong, I'm in middle school so its a bit ahrd.

Help I’ll give Brainliest
What transformations to the linear parent function, f(x) = x, give the function g(x)=1/3x-1Select all that apply.

Answers

Answer: B & C

Step-by-step explanation:

Determine the value of X

Answers

Answer:75

Step-by-step explanation: 50+55 =105,

180-105=75

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Answer:

x = 105°

Step-by-step explanation:

First to get to know the last angle of the triangle:

[tex]55 + 50 + x = 180 \\ x = 75[/tex]

The last angle of the triangle is 75°

To get the opposite angle we take 180° (the full angle) minus 75° which results in 105°

. Xander needs to collect at least 120 cans for a food drive to earn community |
service credit. He has already collected 64 items. Write and solve an inequality to
represent the number of cans, C, that Xander must still collect.

Answers

Answer:

64 + c = 120

Step-by-step explanation:

120 - 64 = 56 t therefore c = 56

The inequality to represent the number of cans, c, that Xander must still collect is c  ≥ 55.

Given the information in the question, the least number of cans that Xander can collet is 120. He can collect more than 120 cans. Thus, the inequality sign to be used is the greater than or equal to sign - ≥.

The number of cans Xander must still collect = 120 - 64 = 55

The inequality solution is c  ≥ 55

What is 9876 times 567

Answers

Answer:

5599692

Step-by-step explanation:

Simply do the multiplication out, then you should get the answer:

5599692

Answer:5599692

 

Step-by-step explanation:

just multy and you will get it

PLEASE HELPPPPPPPPPPPPPPPPPPPPPPPpp

Answers

Answer:

12-2=10

Step-by-step explanation:

Your welcome! :D

Please Help!! I will give Brianliest to the correct answer!!!!


Write an equivalent expression.
-3(5 + 7g)
Choose the correct answer below.
A. -3(5 +79) = 7g – 15
B. - 3(5+7g) = - 15 - 21g
C. -3(5 + 7g) = - 15 + 7g
D. -3(5 + 7g) = -3-219


thank you so much!

Answers

Answer:

It is Option B

Hope it helps

Jada has a meal in the Bobby Salazar's restaurant. She adds up the prices listed on the menu for everything they ordered and gets a subtotal for $48. If the tax rate is 8.7% how much is her taxes. (round to the nearest cent) $41.76 $4.76 $4.18 $3.84 $3.99

Answers

Answer:

Tax= $4.176 = $4.18

Step-by-step explanation:

Giving the following information:

She adds up the prices listed on the menu for everything they ordered and gets a subtotal for $48.

Tax rate= 8.7% = 0.087

To calculate the Tax, we need to use the following formula:

Tax= total spend*tax rate

Tax= 48*0.087

Tax= $4.176 = $4.18

Which of the following statements is not true

Answers

Slope of AB is different to the slope of BC is the answer.

Answer:

(AB) has the same slope as (AC) is the wrong statement...........

I hope this helps you

HELP ME ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!


See question attached

Answers

Answer:

option A

Step-by-step explanation:

the ans is 7

it has factors 1 nd 7

Answer:

A - 7

Hope it helps

What is the area of this square?

Answers

Answer:

4x4x4x4=256

Step-by-step explanation:

hope this helps

Answer:

20 = white square in the middle

Step-by-step explanation:

The whole square itself (including the blue parts) is 36 because 6 x 6 = 36

Solve.
show all work
-2x+10=20

Answers

Answer:

x= -5

Step-by-step explanation:

-2x+10=20

-2x+10-10=20-10

-2x=10

-2x/-2=10/-2

x = -5


The answer is -5
This is how you do it:

Q'R'
is a translation of
QR
. Write the translation rule.

Answers

I don’t know search it up

PLS HURRY!!!!!!!!! YOU WILL BE THE BRAINLIEST.

Which data collections show bias? Check all that apply.
An English teacher polls the top-ten most avid readers to find their favorite books.
An insurance company polls drivers of sports cars to find their average number of tickets.
A restaurant manager surveys every tenth customer for one week.
An assistant principal surveys each student who is sent for discipline.
A fundraiser organizer draws five names from a hat that contains all entries.

Answers

Answer:

The English teacher, restaurant manager, and assistant principal show bias.

Step-by-step explanation:

The data collection for each survey is only gathering data from one small portion of the total population that could be surveyed.

Answer:

A, B, D

Step-by-step explanation

I got it right on the quiz on Edge 2021.

como se convierte una fracción a decimal

Answers

Answer:

Para convertir una fracción en un decimal, dividimos el numerador entre el denominador. Si tenemos un número mixto, el número natural se mantiene a la izquierda del punto decimal.

Answer:

Aqui esta la respuesta

Step-by-step explanation:

The line in a fraction that separates the numerator and denominator can be rewritten using the division symbol. So, to convert a fraction to a decimal, divide the numerator by the denominator. If required, you can use a calculator to do this. This will give us our answer as a decimal.

A fraction is made up of two parts: a numerator and a denominator. It is used to represent how many parts we have out of the total number of parts.We can use bar models to represent the conversion from fractions to decimals.

La línea de una fracción que separa el numerador y el denominador se puede reescribir usando el símbolo de división. Entonces, para convertir una fracción en decimal, divide el numerador por el denominador. Si es necesario, puede usar una calculadora para hacer esto. Esto nos dará nuestra respuesta como decimal.

Una fracción se compone de dos partes: un numerador y un denominador. Se usa para representar cuántas partes tenemos del número total de partes.Podemos usar modelos de barras para representar la conversión de fracciones a decimales.

Hope this helps

Espero que esto ayude

if you don't mind me putting it in both languages

Please help complete the statement

Answers

Answer:

sin2θ = - [tex]\frac{24}{25}[/tex]

Step-by-step explanation:

Given

cosθ = [tex]\frac{3}{5}[/tex] = [tex]\frac{adjacent}{hypotenuse}[/tex] and in fourth quadrant

Then this is a 3- 4- 5 triangle with opposite side = 4

sinθ < 0 in fourth quadrant, then

sinθ = - [tex]\frac{opposite}{hypotenuse}[/tex] = - [tex]\frac{4}{5}[/tex]

Using the double angle identity for sine

sin2θ = 2sinθcosθ

          = 2 × - [tex]\frac{4}{5}[/tex] × [tex]\frac{3}{5}[/tex] = - [tex]\frac{24}{25}[/tex]

Its not a quiz/test its homework thats due in a bit :)

Just to clear any misunderstandings that might arise

Answers

Answer:

x = 10

angle top = 118°

angle bottom = 62°

Step-by-step explanation:

6x + 2 + 11x + 8 = 180

17x + 10 = 180

17x = 170

divide both sides by 17.

x = 10

plug in the 10 to each equation to get the number for the angle

6(10) + 2 = 62°

11(10) + 8 = 118°

need some help please

Answers

Answer:

Is undefined slope

have a nice day!

Answer:

Omg I am sooo sorry Chloe I never forgot you I just got in a lot of trouble and I didn’t want you to be put through that

You have no idea how much I miss you please respond when you see this

A large hose can fill 7/8 of a water tank in one hour. A small hose

can fill 3/4 of a water tank in one hour. How much more of a water

tank can the large hose fill in one hour than the small hose?

Answers

Answer: 1/8

Step-by-step explanation:

From the question, we are informed that a large hose can fill 7/8 of a water tank in one hour while a small hose

can fill 3/4 of a water tank in one hour.

To get the solution to the question above, we have to find the difference between the amount if water filled by the large and the smaller hose. This will be:

= 7/8 - 3/4

= 7/8 - 6/8

= 1/8

What is the length of Ac? Round to the nearest tenth.

Answers

Given:

The figure of a right angle triangle.

To find:

The length of the line segment AC.

Solution:

In a right angle triangle,

[tex]\tan \theta=\dfrac{Opposite}{Adjacent}[/tex]

In the given right triangle ABC,

[tex]\tan (A)=\dfrac{BC}{AC}[/tex]

[tex]\tan (55^\circ)=\dfrac{BC}{AC}[/tex]

[tex]\tan (55^\circ)=\dfrac{15}{AC}[/tex]

[tex]AC=\dfrac{15}{\tan (55^\circ)}[/tex]

On further simplification, we get

[tex]AC=\dfrac{15}{1.428148}[/tex]

[tex]AC=10.503113[/tex]

[tex]AC\approx 10.5[/tex]

The length of side AC is equal to 10.5 m .

Therefore, the correct option is A.

Graph the points:
(-1, -2); (0 -1), (1, 0)

• What is the fourth point?

HELP PLZZ I'm abouta fail this grade and I cant ​

Answers

Answer:

(2,1)

Step-by-step explanation:

bro if im wrong blame me-- but yeah

Help me please there’s a picture attached

Answers

Answer:

2x+11+11+x+3+3x-2=59

6x+23=59

6x=36

x=6

3x-2=18-2=16

Step-by-step explanation:

Answer: PQ=16

Step-by-step explanation:

59-11-11-3+2=36

36/6x=6

3(6)-2=16

write the equation of each line in slope-intercept form​

Answers

Answer:

the 2nd one is -2/2 so the equation would be y=-2/2x+4 the 1st it's kinda blurry it fades away.... but for the 1st one the y- int. is 2 so it would be

y= slope x +2

Arkadaşlar yardım edin EN İYİ SEÇERİM​

Answers

Answer:

seviye 2

a=3 b=3

c=5 d= -1

seviye 3

a x=5 b x=15

c x=15 d x=9

For what values of x is the expression below defined? x + 3 / 1 - x

Answers

Answer:

3

Step-by-step explanation:

Answer:

Hello! The answer is -3 ≤ x < 1

Hope this helps :)

Linda can attend either community college or university the annual cost for each are shown below. in the table what total cost to attend the university for four years

Answers

Answer:

I believe it's 19279 if u need the answer to community college too tell me

PLEASE HELP WILL GIVE OUT BRAINLEYST
MATHH PEOPLE HELP

Answers

Answer its 82 i added the cm

x - 0.25x = 0.75x


what statement can match that equation ?


example: decrease a number by 75% is the same as multiplying by 45%

Answers

I have no idea myself

what is f(x)=2(3)^x?

Answers

Answer:

This is an exponential function

Step-by-step explanation:

f(x)=2(3)^x is one example of the exponential function.  Since f(0) = 2(1) = 2, the y-intercept is (0, 2).  The x-axis is the horizontal asymptote.  The graph begins in Quadrant II, passes through (0, 2) and continues to increase, faster and faster, in Quadrant I.  Next time, please be more specific about what you'd like to know.

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