if 54 gallons is the volume of 2:7, what is the total volume of 3:12?

Answer:384

Step-by-step explanation:

first you multiply 2 times 2= 4 then 4 times 4 times 4= 64 then you multiply 3 times 2= 6 lastly you multiply 6 and 64. your welcome:)

The number of  turkeys that they sold on Sunday is 90 turkeys

Total number of turkeys = 240

On Sunday, they sold 3/8 of them

The fraction of turkeys they sold on Sunday = 3/8

To find the number of turkeys that they sold on Sunday we have to find the 3/8 fraction of 240

Then,

The number of turkeys that they sold on Sunday = Total number of turkeys × The fraction of turkeys they sold on Sunday

Substitute the values in the equation

The number of turkeys that they sold on Sunday = 240 × 3/8

= 240 × 0.375

= 90 turkeys

Hence, the number of  turkeys that they sold on Sunday is 90 turkeys

Learn more about fraction here

brainly.com/question/10708469

#SPJ1

Answer:

Below

Step-by-step explanation:

The equation ( you need to commit to memory) is:

FV = PV ( 1+i)^n      FV = future value    PV = present value(110 000)

                               i = decimal interest per PERIOD = .08 /4 = .02

                                 n = # of periods = 40  (it is a quarterly period by 10 yrs)

FV = 110 000 ( 1 + .02)^40 =  242 884 .36 dollars

There is only one solution for the equation x - 4 = 0 and the solution is 4.

Equation

An equation also known as the expression consists of variables, number and the mathematical operator that are combined using the equal sign.

Given,

Here we have the equation x - 4 = 0

Now, we need to Determine whether the equation below has a one solutions, no solutions, or an infinite number of solutions. Afterwards, determine two values of x that support your conclusion.

In order to find the solution of the equation, we have to equate the equation with zero and solve it accordingly,

So, the given equation is rewritten as,

x - 4 = 0

Now, we have to move the number to the other side to get the value x, then we get,

x = 4.

Therefore, the equation has only one solution that is 4.

To know more about Equation here.

https://brainly.com/question/10413253

#SPJ1

Answer:

42 points

Step-by-step explanation:

If Brooke scored 27 points, 12 less than that would be what Cienna scored. To find this, you would do 27 - 12. This is equal to 15, so Cienna scored 15 points.

To find how much they scored together, you would add both their scores. Brooke scored 27 and Cienna scored 15, so 27 + 15 = 42. Therefore, they scored 42 points together.

For the given measures of angles of heptagon, the value of x is equal to 27° .

As given in the question,

Sum of all the interior angles of the heptagon is equal to 900.

Given measure of all the angles of the heptagon is given by :

135°+( 5x - 4 )° +( 7x - 64 )° + 120° +( 6x - 8 )° +( 4x + 15 )° + ( 3x + 31 )°= 900°

Arrange all the like terms of the given expression together we get,

⇒ ( 5x + 7x + 6x + 4x + 3x )° + ( 135 - 4 - 64 + 120 - 8 + 15 + 31 )°  = 900°

⇒ 25x° + 225° = 900°

⇒ 25x° = 900° -225°

⇒ 25x° = 675°

⇒ x = 27°

Therefore,  for the given measures of angles of heptagon, the value of x is equal to 27° .

Learn more about heptagon here

brainly.com/question/12630702

#SPJ1

Answer: y = 5x - 3

Step-by-step explanation:

It is a line, so its formula is y = mx + b.

         [tex]y=5x+b\\7=5(2)+b\\7=10+b\\b=7-10=-3[/tex]

Therefore, the formula is y = 5x - 3.

Answer:

y=5x-3

Step-by-step explanation:

Answer:

3+4x>-5

4x>-5-3

4x>-8

x>-8/4

x> -2

The simplest radical form of the radicals given are:

1. The simplest radical form of √175 is 5 √7.

2. The simplest radical form of √5 / 12 is √5 / 12.

First, let us understand the radical:

A radical can also be called a surd. A surd is an irrational number. We say that it is irrational because it can not be expressed as a terminating decimal.

1.

We are given:

√175

We need to write in the simplest radical form.

175 can be written as:

175 = 5 * 5 * 7

√175 = √ 5 * 5 * 7

√175 = √ 5 * 5 * √7

√175 = 5 √7

So, the simplest form of √175 is 5 √7.

2.

We are given:

√5 / 12

We need to write in the simplest radical form.

√5 / 12 is already in the simplest form.

So, the simplest form of √5 / 12 is √5 / 12.

Thus, the simplest radical form of the radicals given are:

1. The simplest radical form of √175 is 5 √7.

2. The simplest radical form of √5 / 12 is √5 / 12.

To learn more about radical visit:

https://brainly.com/question/15476889

#SPJ1

Answer:

63 is the answer.

Step-by-step explanation:

9p=9xp, p=7, so 9x7=63. ;)

The value of x in  the following equation: 3|x+3|−12=0 is -7 and 1

The equation is 3|x+3|−12=0

The modulus function can be positive and negative

Considering it to be negative,

the equation is

3((-1)(x + 3) - 12

3(-x - 3) - 12

-3x - 9 - 12 = 0

3x + 21 = 0

3x = -21

x = -7

3(x + 3) - 12

3x + 9 - 12

3x - 3 = 0

3x = 3

x = 1

Therefore, the value of x in  the following equation: 3|x+3|−12=0 is -7 and 1

To learn more about the algebra refer here

https://brainly.com/question/4344214

#SPJ1

Since there are 60 inches in 5 feet (5*12), we know that it will take 20 hours for 5 feet of snow to accumulate (60/3).

Hope this helps!

The graph of the piece-wise function g(0.5x) is given by the second image at the end of the answer.

A piecewise-defined function is a function that has different definitions, depending on the input of the function.

In this problem, the function given by the first graph has two definitions, as follows:

The two functions are linear with intercept 0, hence the definitions are given as follows:

After the transformation x -> 0.5x, the definitions are given as follows:

The graph of g(x) is given by the first image at the end of the answer.

More can be learned about piece-wise functions at https://brainly.com/question/18499561

#SPJ1

The number of guests at the wedding is 276.

Since 1/3 of the guests choose beef and 5/12 choose chicken, the fraction for vegetarian will be:

= 1 - (1/3 + 5/12)

= 1 - 3/4

= 1/4

Therefore, let the total number of guests be x.

This will be illustrated as:

1/4 × x = 69

0.25x = 69

Divide

x = 69 / 0.25

x = 276

Therefore, there are 276 guests.

Learn more about fractions on:

brainly.com/question/17220365

#SPJ1

The represent possible side lengths of perimeter is 8;8√3;24.

What is perimeter?

perimeter is the distance of  around the edge of a shape. Learn how to find of the  perimeter by adding up to the side lenghth of various shapes.

The perimeter is the distance around the object.

Sol-as per the given question the angle value of the triangle is -

7 in

(x+4)in

(4x+1)in

Here,

X+4=4x+1

X=1

Perimeter:- 5+5+7 =

17 Inches.

Thus the perimeter of the triangle is 17 Inches.

To know more about perimeter click-

https://brainly.com/question/19819849

#SPJ1

to get the slope of any straight line, we simply need two points off of it, let's use those two from the picture below

[tex](\stackrel{x_1}{-3}~,~\stackrel{y_1}{6})\qquad (\stackrel{x_2}{-1}~,~\stackrel{y_2}{2}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{2}-\stackrel{y1}{6}}}{\underset{run} {\underset{x_2}{-1}-\underset{x_1}{(-3)}}} \implies \cfrac{-4}{-1 +3} \implies \cfrac{ -4 }{ 2 } \implies - 2[/tex]

Answer:

Todd's conclusion is logical. I know this because all people named Todd are logical beings who always come to logical conclusions. But seriously though, please comment down below more of your question so I can accurately answer it, thanks!

Step-by-step explanation:

The difference between the cost of one candy per ounce and the other candy is that: Almond bark costs $0.50 more per ounce than peanut brittle.

Mathematically, a direct proportion can be represented the following mathematical expression:

y = kx

Where:

Next, we would determine the constant of proportionality (k) for each candy as follows:

For Peanut Brittle, we have the following:

Constant of proportionality (k) = 10/10

Constant of proportionality (k) = 1.0

For Almond Bark, we have the following:

Constant of proportionality (k) = 3/2

Constant of proportionality (k) = 1.5

Next, we would determine the difference in cost:

Difference in cost = 1.5 - 1.0

Difference in cost = $0.50.

Read more on proportionality here: brainly.com/question/12866878

#SPJ1

Answer:

$90.95

Step-by-step explanation:

85 + .07(85)

85 +   5.95

90.95                                            

The number of adults is 200 and the number of children that entered the carnival after it was opened is 240.

Let a represent the number of adult tickets sold

Let c represent the number of children tickets sold

4a + 2c = 1380

Hence,

a + c = 440

Solving  for c

4 (440-c) +2c = 1280

1760-4c +2c = 1280

-4c+2c = -480

-2c=-480

Divide both side by -2c

c = -480/-2

c = 240 (children tickets)

Solving for a

a =440-c

a =440 -240

a=200 (Adult tickets)

Therefore 240 and 200 tickets were sold.

Learn more about number of tickets sold here:https://brainly.com/question/11986887

#SPJ1

Answer:

124.644

Step-by-step explanation:

28.2*4.42=124.644.

Answer:

28.2 × 4.42= 124.644

and in non-decimal it's 124644 removing 3 decimal places

Step-by-step explanation:

Brainiest, please

thank you

Answer:

The 3rd one

x = 2 means how far is the line from 0

PLEASE GIVE BRAINLIEST THANK YOU!!!

The derivative of given function is H’(t) = 3 – 2/t3

A derivative is a two-party contract whose value/price is derived from an underlying asset. Futures, options, forwards, and swaps are the most prevalent types

Given that H(t)= t+ 1/t^2+2t+2

We must calculate the derivative

H(t)= t+ 1/t^2+2t+2

H(t) = 3t + 1/t^2 + 2

H’(t) = d/dt(3t + 1/t^2 + 2)

H’(t) = d/dt(3t) + d/dt (1/t^2) + d/dt ( 2)

H’(t) = 3xd/dt(t) + d/dt (1/t^2) + d/dt ( 2)

H’(t) = 3xd/dt(t) + d/dt (t-2) + d/dt ( 2)

H’(t) = 3 – 2t-3

H’(t) = 3 – 2/t3

Therefore the derivative of the given function is H’(t) = 3 – 2/t3

To learn more about derivatives visit

https://brainly.com/question/25324584

#SPJ1

The given equation solved for u is u = 7 or u = -7

From the question, we are to solve the given equation.

The given equation is

u^6 − 49 u^4 = 0

First, we will write the equation properly

The given equation written properly is

u⁶ - 49u⁴ = 0

Now,

To solve the equation, we will determine the value(s) of the variable. The variable in the given equation is u.

Thus,

We will solve for u

u⁶ - 49u⁴ = 0

Add 49u⁴ to both sides of the equation

u⁶ = 49u⁴

Divide both sides by u⁴

u⁶/u⁴ = 49u⁴/u⁴

u² = 49

Then,

u²- 49 = 0

u² - 7² = 0

Factorize by applying the rule for difference of two squares

(u + 7)(u - 7) = 0

Then,

u + 7 = 0 OR u - 7 = 0

u = -7 OR u = 7

Hence, the value of u is -7 OR 7

Learn more on Solving an equation here: https://brainly.com/question/11483004

#SPJ1

The slope of the line is -3 and the equation of the line formed by the points is y + 3x = 6.

From the table we can see that the line passes through the points:

(-6,6) ,(5,-3) ,(4,0) and (3,3) .

Let us consider any two points on the line (4,0) and (3,3) .

We know that the slope of the line can be found by using the intercept formula

Hence slope = (3-0) / (3-4) = 3/ -1 = -3

Now the equation of the line is :

y - 3 = -3(x-3)

or, y - 3 = -3x +9

or, y + 3x = 6

The letter m is frequently used to represent the slope of an object that resembles a line in the plane that contains the x and y axes. The slope is defined as the difference in two independent locations along the line expressed in y coordinate less by the equivalent difference in x coordinate.

Therefore slope of the line is -3.

To learn more about slope visit:

https://brainly.com/question/11559942

#SPJ1

Answer:

14.8 is the answer to the question

Answer:

quotient: x^2+2x+1

remainder: 7

Step-by-step explanation:

Step-by-step explanation:

x³+4x²+5x+9= (x+2)(x²+2x+1)+7

Quotient= (x²+2x+1)

Remainder=7

Answer:

x = 105

Step-by-step explanation:

To solve for x, we simply need to isolate it:

[tex]\frac{2}{7}x+\frac{1}{5}x=51\\ \frac{17}{35}x=51\\ x=105[/tex]

The probability of drawing the Blue 4 is an example of .R′f.E′

Red cards = 1,2,3

Blue cards =1,2,3,4,5,6

Pr(R) =  Drawing a red card = 3/9 = 1/3

Pr(B)= Drawing a blue card = 6/9 = 2/3

Pr(E) = Drawing an even card = 4/9

Pr(O) = Drawing an odd number card = 5/9

Probability of drawing the blue 4 ? = Pr(blue, 4) = 1/9

From the options

(A) R or O = Pr(R) + Pr(O)  = 1/3 + 1/9 = 8/9 ........(Not equal to 1/9)

(B) B and O = Pr(B) × Pr(O) =  2/3 × 5/9 = 10/21......(Not equal to 1/9)

(C) R or E = Pr(R) + Pr(E) = 1/3 + 4/9 = 7/9.......(Not equal to 1/9)

(D) R and O = Pr(R) + Pr(O) = 1/3 × 5/9 = 5/27.......(Not equal to 1/9)

(E) R'. E' = 1-Pr(R)-1-Pr(E) =

                1-1/3 =2/3- 1-4/9 =5/9

               2/3-5/9 = 1/9......( equal to 1/9).

Hence, the probability of drawing the Blue 4 is an example of .R′f.E′

To learn more about probability refer here

https://brainly.com/question/24756209

#SPJ1

Disclaimer: the question given by you is incomplete, the solution is done as per a similiar question which is

A deck of cards contains RED cards numbered 1,2,3 and BLUE cards numbered 1,2,3,4,5,6. Let R be the event of drawing a red card, B the event of drawing a blue card, E the event of drawing an even numbered card, and O the event of drawing an odd card.Drawing the Blue 4 is an example of which of the following events? Select all correct answers.Select all that apply:a.R OR Ob.B AND Oc.R OR Ed.R AND Oe.R′f.E′

Answer: 4

Step-by-step explanation:  your going to divide -2 by 1 and you get 2 then add 4 and you get 6 pls give me brainliest :)