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→ 6x = 48

→ x = 48/6

→ x = 8

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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.

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

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

Answer:

A and D

Step-by-step explanation:

because they pass through the origin

Answer:

[tex]x=16.4\ y=13.7[/tex]

Step-by-step explanation:

[tex][Kindly\ refer\ the\ attachment.]\\We\ are\ given\ that,\\\triangle ABC\ is\ a\ right-triangle\ and\ has\ it's\ legs\ x\ and\ z.\\It's\ altitude\ CD\ separates\ it\ into\ two\ triangles:\\\triangle BCD\ and\ \triangle ADC,\ both\ of\ which\ are\ right-triangles.\\Now,\\The\ Pythagoras\ Theorem\ tells\ us\ that:\\'The\ sum\ of\ squares\ of\ both\ the\ legs\ is\ equal\ to\ the\ square\ of\ the\\ hypotenuse'.\\Here,\\Lets\ consider\ three\ triangles\ separately.\\[/tex]

[tex]In\ \triangle ADC\ right\ angle\ is\ at\ \angle ADC.\\Hence,\\AC\ is\ the\ hypotenuse, and\ AD\ and\ DC\ are\ it's\ legs.\\Hence,\\AD^2+DC^2=AC^2\\Or,\\9^2+y^2=x^2\\\\Lets\ take\ the\ above\ equation\ as\ E_1.[/tex]

[tex]In\ \triangle BDC\ right\ angle\ is\ at\ \angle BDC.\\Hence,\\BC\ is\ the\ hypotenuse, and\ DC\ and\ DB\ are\ it's\ legs.\\Hence,\\DC^2+DB^2=BC^2\\Or,\\21^2+y^2=z^2\\Lets\ take\ the\ above\ equation\ as\ E_2.[/tex]

[tex]Now,\\In\ whole\ \triangle ACB\ right\ angle\ is\ at\ \angle ACB.\\Hence,\\AB\ is\ the\ hypotenuse, and\ AC\ and\ BC\ are\ it's\ legs.\\Hence,\\AC^2+BC^2=AB^2\\Or,\\x^2+z^2=(21+9)^2=30^2\\Lets\ take\ the\ above\ equation\ as\ E_3.[/tex]

[tex]Lets\ now\ gather\ the\ three\ equations:\\9^2+y^2=x^2\\21^2+y^2=z^2\\x^2+z^2=30^2\\Now,\\Lets\ pair\ and\ add\ E_1\ and\ E_2.\\Hence,\\(9^2+y^2)+(21^2+y^2)=(x^2)+(z^2)\\Hence,\\81+y^2+441+y^2=x^2+z^2\\Hence,\\2y^2+522=x^2+z^2\\Considering\ E_3,\\We\ already\ know\ that,\\x^2+z^2=30^2\\Hence,\\2y^2+522=30^2\\Hence,\\2y^2+522=900\\2y^2=900-522=378\\Hence,\\y^2=\frac{378}{2}=189\\Hence,\\y=\sqrt{189}=13.7\\[/tex]

[tex]Plugging\ in\ y=13.7\ in\ E_1,\\9^2+(13.7)^2=x^2\\81+189=x^2\\x^2=270\\x=\sqrt{270}=16.4[/tex]

Answer:

No. The answer would be n=5

Step-by-step explanation:

You have to subtract the 2 from both sides to cancel it out on the left side. so you would be doing 7-2, not 7+2

The highest price per pizza in a profit of $100 is approximately $15.48

The profit equation is given by:

p = -5 [tex]x^2[/tex]  + 100x - 250

Substitute p = 100 and solve for "x":

100 = -5 [tex]x^2[/tex]+ 100x - 250

To solve this quadratic equation, it can be rearranged it to standard form [tex](ax^2 + bx + c = 0)[/tex]

[tex]5x^2- 100x + 350 = 0[/tex]

Now, we can solve the quadratic equation using the quadratic formula:

[tex]x = \dfrac{(-b\pm \sqrt ({b^2 - 4ac)}}{2a}[/tex]

In our equation, a = 5, b = -100, and c = 350. Substitute these values into the formula:

x =[tex]\frac{(\sqrt{(-100)^2 - 4 \times 5 \times 350}}{2\times5}[/tex]

x= [tex]\dfrac{{100 \pm\sqrt{3000}}}{10}[/tex]

Thus, the two possible solutions for "x":

[tex]x_1[/tex] =[tex]\dfrac{100 + \sqrt{3000}}{10}[/tex]

[tex]x_2[/tex] =[tex]\dfrac{100 - \sqrt{3000}}{10}[/tex]

Calculating the values:

[tex]x_1[/tex]≈ 15.48

[tex]x_2[/tex] ≈ 4.23

The highest price per pizza that results in a profit of $100 is approximately $15.48 (rounded to two decimal places).

Learn more about equations here:

https://brainly.com/question/14686792

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Answer:

y=-23

Let's solve your equation step-by-step:

6(y+6)=3y−33

Step 1: Simplify both sides of the equation

6(y+6)=3y−33

(6)(y)+(6)(6)=3y+−33(Distribute)

6y+36=3y+−33

6y+36=3y−33

Step 2: Subtract 3y from both sides

6y+36−3y=3y−33−3y

3y+36=−33

Step 3: Subtract 36 from both sides

3y+36−36=−33−36

3y=−69

Step 4: Divide both sides by 3.

3y/3=−69/3

y=−23

Answer:

y=−23

Answer:

[tex]\frac{-24p + 5}{30p}[/tex]

Step-by-step explanation:

Did you mean to add the terms.  You can only solve equations or inequalities and this is an expression.  Assuming you are to add the terms, then the lowest common denominator is 30p

So,  [tex]\frac{-2(10)}{3p(10)} + \frac{6p}{5(6p)} - \frac{30p}{30p} + \frac{5(5)}{6p(5)}[/tex]

=  [tex]\frac{-20 + 6p - 30p + 25}{30p}[/tex]

=  [tex]\frac{-24p + 5}{30p}[/tex]

Answer:

1/6p-4/5

Step-by-step explanation:i have khan and it is the right awnswer

Answer:

8.5 i think

Step-by-step explanation:

Answer:

the answer would be 8.5 inches

Step-by-step explanation:

its 8and a half not 0.85 so its placed wrong

Answer:

C, D, F

Step-by-step explanation:

I hope it helps, sorry if any wrong.

Answer:

She had 40 carrots.

Step-by-step explanation:

60 - 18 = 42 -2 = 40

Answer:

Step-by-step explanation:

C=pi times 4

C= 3.14 times 4

C=12.56

Answer:

19/24

Step-by-step explanation:

Answer:

1968

Step-by-step explanation:

246×2=492(First month)

492×2=984(Second month)

984×2=1968(Third month)

Hey there!

33,264 feet is 6.3 miles.

Have a terrificly amazing day!

Answer:

1st part is 958

2nd part is 1024

Step-by-step explanation:

Answer:

a. 958 inches

b. 1024 inches

Step-by-step explanation:

a. The perimeter is 2(234+245) = 958 inches, by the formula of the perimeter of a rectangle.

b. This will increase the perimeter by 2 * 33 = 66 inches (because we're increasing in one dimension), so the answer is 958 + 66 = 1024 inches.

Answer: I think it’s A but I’m not really good with square roots.

Step-by-step explanation:

Answer:

c + 0.07c and 1.07c

Step-by-step explanation:

the sales cost will be added to the retail cost

Answer:

512....................

Answer:

C) (1,0), and (-3,0)

Step-by-step explanation:

The parabola intercepts the x axis at points (1,0) and (-3,0).

your answer is

C) (1,0), and (-3,0)

have a good dayyy!

Answer:

In algebra, the operation of substitution can be applied in various contexts involving formal objects containing symbols; the operation consists of systematically replacing occurrences of some symbol by a given value. Substitution is a basic operation of computer algebra.

Step-by-step explanation:

Hope I helped!

Answer:

distributive property is in the middle going straight up (read it going from the bottom up)

What is the perimeter 2x+3 as length and x-6 as width

P = 2L + 2W

P = 2(2x+3)+2(x-6)

P = 4x+6 + 2x - 12

P = 6x - 6

Answer:

[tex]perimeter = 2(l + b) \\ = 2(2x + 3 + x - 6) \\ = 4x + 6 + 2x - 12 \\ = 6x - 6[/tex]

Answer:

What is the two dimensional shape that is created when the shape provided is sliced horizontally? Explanation: A horizontal cut is a side to side cut. This shape is a right rectangular pyramid, which has a base of a rectangle and sides in the shape of triangles; thus, a horizontal cut would make a rectangle.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

blue

Step-by-step explanation:

Answer:

The second option from the left

Step-by-step explanation:

The right answer is the second option because if we follow the pattern through we will get the following...

[tex]y =2(4)^{x} \\y = 2(4)^{0} = 2(1) = 2\\y = 2(4)^{1} = 2(4) = 8\\y = 2(4)^{2} = 2(16) = 32\\y = 2(4)^{3} = 2(64) = 128[/tex]

From this we know the pattern must be 2, 8, 32, 128

Answer:

To find the radius we must multiply by two to get 18.8

Then we multiply 18.8 for PIEEEEEE

3.14x18.8= 59.03

Step-by-step explanation:

I hope this helps!!!!! Please mark me brainliest.