Five-sixths of the boats in the marina are white, 2 5 of the remaining boats are blue, and the rest are red. If there are 12 red boats, how many boats are in the marina?

Answers

Answer 1

Answer: There are 120 boats in the marina.

Step-by-step explanation:

Let's suppose that there are N boats

We know that 5/6 of them are white, then we have: (5/6)*N white boats.

The remaining is: N - (5/6)*N = (1/6)*N

We know that 2/5 of the remaining are blue, then we have:

(2/5)*(1/6)*N blue boats

And the rest are red, the rest is:

(1/6)*N - (2/5)*(1/6)*N = (3/5)*(1/6)*N

Then we have (3/5)*(1/6)*N red boats.

And we know that there are 12 red boats, then:

(3/5)*(1/6)*N = 12

Now we can solve this for N, which is the total number of boats in the marina.

N = 12*(6)*(5/3) = 120

There are 120 boats in the marina.


Related Questions

12. Find the values of x, y, and z.
(1 point)

Answers

Answer:

b. x = 80, y = 100, z = 63

Step-by-step explanation:

A 1/2 kilogram of flour is packed equally into 10 bags How much flour is in each bag?​

Answers

Answer:

1/20 kilogram of flour is in each bag.

Step-by-step explanation:

(1/2)/10=(1/2)(1/10)=1/20

I need help on these questions.

Answers

Answer:

1. the third one

2. the third one

3. the fourth one

5. the second one

Step-by-step explanation:

Answer:

1)7x+1

2)10a-(a-5)

3)Twice the sum of two different numbers

4)2x/x-1

Hope I helped!!!

True or False
A histogram with a uniform shape represents data that is unevenly distributed through the intervals.

A. true
B. false

Answers

Answer:

false id k

Step-by-step explanation:

Find the value of x that makes the quadrilateral a parallelogram
What is x?​

Answers

To make it a parallelogram, the diagonals have to bisect each other (6x=3x+2)

Calculate and you will get x = 2/3

The value of x that makes the quadrilateral a parallelogram is 2/3.

What is a parallelogram?

A special form of quadrilateral called a parallelogram has both pairs of its opposite sides parallel and equal.

We have a quadrilateral.

To show that the quadrilateral is a parallelogram:

If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram.

That means,

6x = 3x + 2

3x = 2

x = 2/3

Therefore, the value of x is 2/3.

To learn more about the parallelogram;

https://brainly.com/question/29133107

#SPJ5

Select the equation that is not equivalent to 9(m+3).

9m+(9x3)
6 9m +27
9m +12
5m + 4m + 15 + 12

Answers

Answer:

C

Step-by-step explanation:

all the following options can give 9m+27 except C; 9m+12

If written backward, the number "fourteen thousand five hundred and ninety-three" would be written as "thirty-nine thousand five hundred forty-one". Correct?

Answers

Answer:

Yes, correct

Step-by-step explanation:

Answer:

14,593 -> 39,541: Correct!

Step-by-step explanation:

△KJL~△WJX. Identify the coordinates of X and the scale factor.

PLZ help

Answers

Answer:

X(−64/3, 0); 8/3

Step-by-step explanation:

To find the coordinates of the point X, first find the scale factor for a dilation of two similar triangles in the coordinate plane

To determine the scale factor, set up a ratio of the lengths of two corresponding sides of the triangles.

Use the Distance Formula d=(x2−x1)2+(y2−y1)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√ to find the length of the sides JK and JW.

Point J is the origin. Thus, the coordinates of the point J are (0,0).

It is given in the figure that the coordinates of the point K are (0,6).

To find JK, substitute x1=0, x2=0, y1=0, and y2=6 into the distance formula.

JK=(0−0)2+(6−0)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√=62‾‾√=6

The length of JK is 6.

It is given in the figure that the coordinates of the point W are (0,16).

To find JW, substitute x1=0, x2=0, y1=0, and y2=16 into the distance formula.

JW=(0−0)2+(16−0)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√=162‾‾‾‾√=16

The length of JW is 16.

To determine the scale factor, set up a ratio of the lengths of two corresponding sides, JW and JK, of the triangles.

JWJK=166=83

The scale factor is 83.

To find the coordinates of the point X multiply the coordinates of the point L by the scale factor.

It is given in the figure that the coordinates of the point L are (−8,0).

X(−8⋅83,0⋅83)=X(−643,0)

The coordinates of the point X are (−643,0).

The figure shows the same triangles K J L and W J X as in the beginning of the task. Point X is at minus 64 thirds, zero.

Therefore, the coordinates of X is (−643,0) and the scale factor is 83.

Simplify 7.7w - 4.6w please answer hurry!

Answers

Answer:

3.1w

Step-by-step explanation:

(-2+4i) - (8+2i) if i is imaginary

Answers

Answer:

-10 + 2i

Yes, it is imaginary

Step-by-step explanation:

[tex](-2+4i) - (8+2i) \\ \\ = - 2 + 4i - 8 - 2i \\ \\ = - 2 - 8 + 4i - 2i \\ \\ = - 10 + 2i[/tex]

Danny is building a pyramid modeled after one of the great pyramids of Giza in Egypt .The great pyramid has a height of 480 feet and a square base with each side measuring 755 feet if Danny builds the pyramid to one hundredths (1/100) the size what will the volume be for his pyramid

Answers

Answer:

91.204 cubic feet

Step-by-step explanation:

We are given that

Height of great pyramid, h=480feet

Side of square base, a=755  feet

Height of Danny's pyramid, h'=480/100 feet

Side of square base of Danny's pyramid, a'=755/100 feet

We have to find the volume of Danny's pyramid if the volume of Danny's pyramid is 1/100 the size of great pyramid.

We know that

Volume of square base pyramid, V=[tex]\frac{1}{3}a^2h[/tex]

Where a= Side of base

h=Height of pyramid

Using the formula

Volume of Danny's pyramid=[tex]\frac{1}{3}\times(755/100)^2(480/100)ft^3[/tex]

Volume of Danny's pyramid=91.204 cubic feet

Help I do not understand this

Answers

Answer:

sin(30)° = [tex]\frac{10}{x}[/tex]

Step-by-step explanation:

By applying sine rule in the given triangle,

sin(30)° = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

sin(30)° = [tex]\frac{10}{x}[/tex]

[tex]\frac{1}{2}= \frac{10}{x}[/tex]

x = 2 × 10

x = 20

Therefore, answer will be sin(30)° = [tex]\frac{10}{x}[/tex].

5. The measure of an angle is 82.3°. What is the measure of its
supplementary angle?

Answers

Answer:

97.7°

Step-by-step explanation:

Supplementary angles are angles that add up to 180° together so 180-82.3=97.7

Who are the Dalits? Brainliest

Answers

Answer:

Dalit is a name for people belonging to the lowest caste in India, characterised as "untouchable".Dalits were excluded from the four-fold varna system of Hinduism and were seen as forming a fifth varna, also known by the name of Panchama. Dalits now profess various religious beliefs, including Hinduism, Buddhism, Sikhism, Christianity, Islam and various other belief systems.

Step-by-step explanation:

Answer:

Dalits are the lowest caste in the Hindu religion. They are also referred to as the Untouchables. Dalits were the lowest of the low in society and often got discriminated by higher castes.

What is the domain of the graph shown?
D:

Answers

Answer:

0,4

Step-by-step explanation:

0,4 let me know if I'm wrong please

Please help STUCK !! Which of the following points lie on the graph of the function,

Answers

Answer: a. ( 1, 6 )

Step-by-step explanation:

If you go into desmos and plot your function you can go to each of the points in your answers and see just where the point is touching the line

Pls answer these ratio questions with full working out I really need to now the method!

Answers

Step-by-step explanation:

a) 2+3=5

2/5 * 80= 32

3/5 * 80= 48

b) 5+7= 12

5/12 * 156= 65

7/12 * 156= 91

c) 4+5=9

4/9*384=170.67

5/9*384=213.34

d) 1+2+3=6

1/6*1.62=0.27

2/6*1.62=0.54

3/6*1.62=0.81

e) 1+1+4=6

1/6*96=16

1/6*96=16

4/6*96=64

help? please
if someone could help id appreciate it

Answers

answer: 30°

explanation:

4x + 2x = 180°

6x = 180°

x = 180/6

x = 30°

hope this helps :)

--
What is the value of
5/6 divided by 3/4

Answers

hope it's helpful ❤❤❤❤❤❤

THANK YOU.

#

Answer:

5/6 x 4/3

= 20/18

20 divided by 2, 18 divided by 2

= 10/9 = 1 1/9

Need help ...,,.....,,........

Answers

Answer:

i’m pretty sure that it’s 50. i haven’t done this in a awhile though. but pretty positive it’s 50

Step-by-step explanation: :)

What is another name for the height of a prism or a pyramid?
A. Altitude
B. Length
C. Base
D. Lateral face

Answers

Answer:

A . altitude

Step-by-step explanation:

I don’t know how to type it out so here’s the picture.

Answers

it’s the third one

i plugged two in for x to double check and it’s right

10= 3(3) + b what is the slope and y-intercept

Answers

Answer:

slope: 3

y-intercept: 1

slope-intercept form equation: y = 3x + 1

Step-by-step explanation:

slope-intercept form is y = mx + b, where m = slope and b = y-intercept.

the equation you're given, 10 = 3(3) + b, is already in slope-intercept form and also already has the slope identified (it's 3!) so thankfully that's one less thing to solve for! :)

all you have to do now is solve for b.

first, multiply 3(3).

10 = 3(3) + b

10 = 9 + b

then subtract 9 from both sides of the equation. 9 and -9 cancel each other out, so the only thing you have to do for this step is subtract 9 from 10.

10 - 9 = b

1 = b aka b = 1

and now you have your b value!

so your slope is 3 and your y-intercept is 1.

i hope this helps! have a nice rest of your day <3

-> Find the sum.
2
4 3
+1
12
12

Answers

Answer:

11455

Step-by-step explanation:

you add it up and that is what you will get

Stuff mart sells ice cream toppings in two different packages. Package one has eight blueberry toppings for $22. Package two has four blueberry and seven strawberry toppings for $22. Find the cost of each topping

Answers

Answer:

the cost of the blueberry packing be $2.75 and the cost of the strawberry topping be $1.57

Step-by-step explanation:

The computation is shown below:

Let us assume the blueberry topping be x

And, the strawberry topping be y

Now as per the question

8x = $22

Divide by 2 to the both sides

4x = $11

x = $11 ÷ 4

= $2.75

And,

4x + 7y = $22

Now put the x value in the above equation

4 × (11 ÷ 4) + 7y = $22

11 + 7y = $22

7y = $22 - $11

7y = $11

y = $11 ÷ 7

= $1.57

Hence, the cost of the blueberry packing be $2.75 and the cost of the strawberry topping be $1.57

What is 2/3 of 8? Thank you!!

Answers

Answer:

The answer is 5.33( infinite 3)

Step-by-step explanation:

Hope this helps

Answer:

5.33

Step-by-step explanation:

Two thirds of 8 is simply two thirds times 8, which can be written as follows:

Two/thirds x 8

Furthermore, you can convert "two" to "2" and "thirds" to "3" and then the equation and answer is:

2/3 x 8 = 5.33

Alexandra's drafting class is building a scale model of the school's courtyard. Alexandra chose to make a model of a campus oak tree for the assignment as shown. The tree is 10 yards tall and the base of the tree is 5 yards away from the edge of a park bench. She calculated that her oak tree model should be 0.4 yards tall. What is the distance, in yards, from the base of the model tree to the edge of the model bench?

Answers

Answer:

It's 0.20

Step-by-step explanation:

The distance between the base of the model tree to the edge of the model bench is  0.2 yard.

Similar triangle :

A diagram is attached which describe the statement of question.

From diagram attached below, It is observed that both triangles are similar triangles.

The ratio of corresponding sides are same in the similar triangles.

the distance between the base of the model tree to the edge of the model bench is  x.

                     [tex]\frac{5}{x}=\frac{10}{0.4}\\ \\ 10x=2\\\\x=2/10=0.2yard[/tex]                

Learn more about the similar triangles here:

https://brainly.com/question/14285697

A person invests $100,000 dollars at 8% for 10 years. How much money does the person have in their account if it is compounded....
a) annually
b) semi annually
c) quarterly
d) monthly
e) daily
f) continuously

i only need a, c, e, f

Answers

9514 1404 393

Answer:

  a)  $215,892.50

  c)  $220,803.97

  e)  $222,534.58

  f)  $222.554.09

Step-by-step explanation:

The compound interest formula is ...

  FV = P(1 +r/n)^(nt)

where principal P is invested at annual rate r for t years, compounded n times per year. In this problem, you have P=100,000, r=0.08, t=10, and the only variable of interest is n.

When calculations are repeated, it is often convenient to let a calculator or spreadsheet do them. You only need to program the formula once, then use it for the different values of the variable of interest. Most spreadsheets have this formula built in, so you don't even need to program it.

__

For continuous compounding, the formula is ...

  FV = Pe^(rt)

  FV = 100,000e^(0.08·10) = 222,554.09

I NEED SOME HELP NOW, PLS THIS IS MY LAST PROBLEM OF THE DAY!! I WILL GIVE YOU BRAINLEST IF YOU ANSWER IT!!!

Answers

Eu no ciao did ruff fnfbfbf

Five notebooks cost $20 pages in four days which reading rate is equivalent

Answers

Answer:

how many pages in four days

Other Questions
(about Tales Of The Smp so if your not a mcyt fan you won't get it) BIG THEORY!!! (wild west episode) So we saw the wanted Billaim poster right? They said he robbed AND kidnapped some kid. Now if we go back to the masquerade ball, Ranbultler was not aloud to talk, therefor i think Billaim stole him. FAVORITE KIND OF CUPCAKEJUST ANSWER ITS FUN-CUPCAKES ARE THE BEST MEDICINE Help asap plz! Ron has a budget of $1,500 to paint the walls in his office building. One gallon of paint will cost 200 square feet and will cost $29.98, including tax. Paint can be bought in only 1 gallon cans. Additional painting supplies will cost $49 , including tax what is the maximum number of square feet Ron can paint if he stays within budget when he buys the paint and supplies? We must recognize the impending danger to the United States. The Lend-Lease Act is needed to support the war in Europe.Which person would most likely make this statement?a. Billy Mitchellb. Franklin Rooseveltc. a pacifistd. an isolationist Q10.It takes 2 painters 4 days to compete a job. How long will it take 1 painter to complete thesame job?What assumptions have you made? what is the opposite operation that you need to do in order to solve this 1.5(x+4)-3=4.5(x-2)? Does anyone understand this please help meee Someone please help me with the 4th question only plz! A colony of bacteria starts with 50 organisms and quadruples each day. Write an exponential function, P(t), that represents the population of the bacteria after t days. Then find the number of bacteria that will be in the colony after 5 days. put the answer,5th grade math lol anyone mind helping me out? HELP!! (Brianlist) PLEASE NOWW Which expression and diagram represent three times a number? (IMAGE ATTACHED)I dont know what this is asking me, anyone know how to do this? Please help! 80 points! (picture included)If l is parell to m, find the value of y. A. 13B. 165C. 11D. 15 PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*.. IM GIVING 40 POINTS !! DONT SKIP :((. For 100 points. The multiplicative inverse of 5 and (10x + 15) Lead melts at 328 . How much heat is required when 23.0 g of solid lead at 297 K condenses to a liquid at 702 K? the cover of a book has an area of 400 cm, the book has aheigh of 4 cm. whatis the books volume? use thecorrect unit for volume in your awnser.