24x-12-43x-6
Simplify.
Please help!! ASAP!!

The mean weight of the containers on the ship is found by adding the total weight of all the containers (270 tons) and dividing by the total number of containers (60), giving a mean of 4.5 tons per container.

In this problem, we are asked to find the mean weight of the containers on a ship. The mean is the average value of a set of numbers, found by adding all the numbers together and then dividing by the quantity of numbers.

First, let's compute the total weight of all the containers. The weight of the 30 small containers are 30 containers * 3 tons each = 90 tons. The weight of the 20 medium containers are 20 containers * 5 tons each =  100 tons. The weight of the 10 large containers are 10 containers * 8 tons each = 80 tons.

So, the total weight of all the containers is 90 tons + 100 tons + 80 tons = 270 tons. And the total number of containers is 30 + 20 + 10 = 60 containers.

So, the mean weight of the containers is 270 tons Total Weight / 60 = 4.5 tons/container. So, the mean weight of the containers on the ship is 4.5 tons.

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Answer:

B-6

Step-by-step explanation:

If (B) represents Bob's time, six minutes less than Bob's time is B-6=T where (T) represents the time six minutes less than Bob's time.

The phrase 'six minutes less than Bob's time' can be translated into the algebraic expression 'B - 6', where 'B' represents Bob's time.

The given phrase 'six minutes less than Bob's time' can be written as an algebraic expression. Algebraic expressions are mathematical phrases containing numbers, variables (like 'Bob's time'), and operations.  In this case, we can symbolize 'Bob’s time' as a variable, let’s choose 'B'. Then 'six minutes less than Bob's time' translates to 'B - 6' in an algebraic expression. That’s because 'less than' implies subtraction and it always means you subtract from the number or variable stated after the expression, in this case, 'Bob's time' or 'B'.

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Answer:

x plus 5 equals 2 times brackets 7 plus x

Step-by-step explanation:

Solution:

The decreasing function is given as:

[tex]y = a(1-r)^t[/tex]

Where,

y is future value

a is initial value

r is decreasing rate

t is number of years

From given,

a = 4800

t = 5

[tex]r = 8.25 \% = \frac{8.25}{100} = 0.0825[/tex]

Therefore,

[tex]y = 4800(1 - 0.0825)^5\\\\y = 4800 \times 0.9175^5\\\\y = 4800 \times 0.6501\\\\y = 3120.841[/tex]

Thus the area after 5 years is 3120.841 square kilometer

Answer:0.25

Step-by-step explanation:

11/44 is equal to 1/4

1/4 is 0.25

Answer:

40

Step-by-step explanation:

0.13 ⟌5.2 (We can move 0.13 over two spots)

13⟌520 (We move the decimal two spots because of previous)

We have

    ₄ ₀

13⟌520

  - 52

______

      0 0

       - 0

   ______

          0

So 40 is our final answer.

The value of  (5.2/0.13) is 40 obtained by removing the decimals.

Addition is also known as the sum, subtraction is also known as the difference, multiplication is also known as the product, and division is also known as the factor.

Given, 5.2 is divided by 0.13, which is (5.2/0.13).

Now we can multiply both the numerator and the denominator by 100.

∴ (5.2/0.13)×(100/100).

= 520/13.

= 40.

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Final answer:

To find the minimum value of C given the constraints, one must plot these constraints, find the feasible region's vertices, evaluate C at each vertex, and select the minimum value obtained. The minimum value of C = 4x + 3y, given the constraints and the corrected understanding of them, is 29.

Explanation:

To find the minimum value of C = 4x + 3y subject to the given constraints, we need to first correct the constraints provided, as it seems there might be a misunderstanding in how they were presented. Assuming the constraints meant to be:

1. [tex]\(x \geq 0\)[/tex]

2. [tex]\(y \geq 0\)[/tex]

3. [tex]\(2x + 3y \geq 6\)[/tex]

4.[tex]\(3x - 2y = 9\)[/tex]

5.[tex]\(x + 5y = 20\)[/tex]

We will solve the system of equations (4) and (5) to find the values of x and y that satisfy these conditions, and then we will check if these values satisfy all other constraints including (3). If they do, we'll use these values to find C.

Solving the equations simultaneously:

From equation (4): 3x - 2y = 9

From equation (5): x + 5y = 20

Multiplying equation (5) by 3 to eliminate x, we get:

3(x + 5y) = 3(20)

3x + 15y = 60

Now, subtract equation (4) from this result to eliminate x:

3x + 15y - (3x - 2y) = 60 - 9

3x + 15y - 3x + 2y = 51

17y = 51

y = 3

Substitute y = 3 into equation (5) to find x:

x + 5(3) = 20

x + 15 = 20

x = 5

Now, check if [tex]\(x = 5\) and \(y = 3\) satisfy the constraint \(2x + 3y \geq 6\):[/tex]

[tex]\[2(5) + 3(3) \geq 6\][/tex]

[tex]\[10 + 9 \geq 6\][/tex]

[tex]\[19 \geq 6\] - This is true.[/tex]

Since x = 5 and y = 3 satisfy all the constraints, we can calculate \(C\):

C = 4x + 3y

C = 4(5) + 3(3)

C = 20 + 9

C = 29

Therefore, the minimum value of C = 4x + 3y, given the constraints and the corrected understanding of them, is 29.

Answer:

-16z + 24

Step-by-step explanation:

Apply the Distributive Property of Multiplication:

-8(2z-3) = -16z + 24

Answer:

-27

Step-by-step explanation:

-8 ( 2z - 3 ) = -16z - 3

distribute -8

-16z + 24 = -16z - 3

add 16z on right side

z + 24 = - 3

subtract 24 on left side

z = -27

Hopefully this helps :)

Answer:

12x^5+27x^4-24x^3+12x^2:

Step-by-step explanation:

hope it helps

Answer:

$9.00

Step-by-step explanation:

                                     ~~~~Hey there~~~~

1. Since it was 15% discount, that means you have to solve 15% of 60, which is equivalent to 0.15 x 60.

2. Since the product of 0.15 and 60 is 9, then 9 is your answer.

3. Your final answer is $9.00

Hope this helped!

~delightedsunrise8

Answer:

56

Step-by-step explanation:

You would first do 60 divide by 15 and get 4. Then you subtract 4 from 60 and get 56 as your answer.

Answer:

-6/16

Step-by-step explanation:

Step 1:  Find equivalent to -3/8

(-3*2) / (8*2)

-6/16

Answer:  -6/16

Answer:

-0.375

Step-by-step explanation:

If you have a scientific calculator just plug in [tex]-\frac{3}{8}[/tex] then switch it to decimal form

[tex]-\frac{3}{8} = -0.375[/tex]

If you need help going from fraction to decimal form all you need to do is divide -3 by 8 = -0.375

Answer:

The formula for area of a circle is : A = PI x r^2

A) find the are of the two circles, subtract the two to find the area of the side walk:

Outside circle: A = PI x 10^2

Area = 100PI

Inner circle: A = PI x 8^2

Area = 64PI

Area of sidewalk:

100PI - 64 PI = 36PI

B) replace PI with 3.14:

Area = 36 x 3.14 = 113.04 square meters.

Step-by-step explanation:

Hope this helped.

Answer:

1/16

Step-by-step explanation:

Each coin flip is an independent event so the probabilities are independent

P(T,H,T,H) = P(T) P(H)  P(T) P(H)

                  = 1/2 * 1/2 * 1/2 * 1/2

                   = 1/16

Answer:

8 oz. per cup

Step-by-step explanation:

Answer:

Kendra is watching over 5 children. She wants to be sure that they each have an even number of apple slices. There are 35 apple slices total. She wants to take 35 and put it equally into 5 groups.

Your equation would be 5s=35, where s would be the total amount of apple slices on each plate.

To solve this equation you would divide both sides by 5 to get 7. s=7 (35/5=7)

Each quintuplet would be 7 apple slices.

Hope this helps ;)

Answer:

$1440

Step-by-step explanation:

First, find the unit rate by dividing 300 by 5, which equals 60. So, Kendra earns $60 in one day. Then, multiply 60 by 24, which equals 1440. So, Kendra makes $1440 in 24 days. Hope this helped!

Answer:1440 dollars earned In 24 hours

Step-by-step explanation: first divide 300 by 5 to get 60 then multiply 60 by 24 to get 1440

The actual height of building is 1800 feet.

Step-by-step explanation:

Given,

Height of building in model = 3 inches

Scale used by engineer;

1 inch = 600 feet

Therefore;

Actual height of building = Height in model * Scale used

Actual height of building = 3 * 600

Actual height of building = 1800 feet

The actual height of building is 1800 feet.

The number of feet the shoreline is eroding per year is 1 ⅓ feet.

How many feet are eroding per year?

Rate of shoreline eroding per 3 months = 1/3 foot

Number of 3 months in a year = 12 months / 3 months

= 4

Number of feets of the shoreline eroding per year = Rate of shoreline eroding per 3 months × Number of 3 months in a year

= 1/3 × 4

= 4/3 feet per year

Therefore, the shoreline erodes 1⅓ feet per year

Answer:

[tex]\sqrt[5]{15}[/tex]

Step-by-step explanation:

A number to 1/5 is the [tex]\sqrt[5]{n}[/tex]

A number to 1/3 is the [tex]\sqrt[3]{n}[/tex]

So, since the number is 15 to the 1/5, it is [tex]\sqrt[5]{15}[/tex]

Answer:  [tex]\sqrt[5]{15}[/tex]

Answer:

[tex]15^{\frac{1}{5} } = \sqrt[5]{15}[/tex]

Step-by-step explanation:

recall that

[tex]a^{\frac{1}{b} } = \sqrt[b]{a}[/tex]

if we apply this to our case,

[tex]15^{\frac{1}{5} } = \sqrt[5]{15}[/tex]

Answer:

x = 15

Step-by-step explanation:

Step 1:  Make an expression

4/6 = 10/x

Step 2:  Cross multiply

4/6 = 10/x

4x = 60

Step 3:  Divide both sides by 4

4x / 4 = 60 / 4

x = 15

Answer:  x = 15

Answer:

15

Step-by-step explanation:

4 is to 6 as 10 is to what

Represent the unknown number as x and write as a ratio

4:6 = 10:x

Write as fractions

4/6 = 10/x

Cross-multiply

4x = 60

Divide both sides of the equation by 4

x = 15

15

Hope this helps :)

Answer:

1800

Step-by-step explanation:

The sum to n terms of an arithmetic sequence is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

Here a₁ = - 27 and d = 6, thus

[tex]S_{30}[/tex] = [tex]\frac{30}{2}[/tex] [ (2 × - 27) + (29 × 6) ]

     = 15( - 54 + 174)

     = 15(120)

     = 1800

The sum of the first 30 terms of the arithmetic sequence, is 1800.

In an arithmetic sequence, the sum of the first n terms can be calculated using the formula:

Sum = n/2 × (2a + (n-1)d), where:

Given:

Plugging in these values, we get:

Sum = 30/2 × (2(-27) + (30-1) × 6)

Calculating step-by-step:

Therefore, the sum of the first 30 terms of the arithmetic sequence is 1800.

Answer:

m∠3=80 degrees

m∠3=m∠1

Step-by-step explanation:

When two lines intersect, the opposite angles are equal. They are called vertical angles. That means for this problem:

m∠1 = m∠3           *Last option is true

m∠2 = 100°           *Third option is false

A straight line is always 180°. When it is cut up, the sum of the angles is 180°. They are called suppementary angles. These are supplementary:

100° + m∠3      →    m∠3 = 80°           *Second option is true

m∠1 + 100°       →    m∠1 = 80°            *First option is false

m∠1 + m∠2      →    One or the other is 100° and 80°

m∠2 + m∠3      →   One or the other is 100° and 80°

Answer:

B.(2,4)

Step-by-step explanation:

The equation for a circle is written as

(x-h)^2 +(y-k)^2 = r^2

where (h,k) is the center and r is the radius

(x-2)^2+(y-4)^2=9.

Rewriting this equation

(x-2)^2+(y-4)^2=3^2

The center is at (2,4)

Answer:

it is D (-1 + or - 2i square root of 2)

Step-by-step explanation:

just took test

The value of x obtained after solving the equation  x² + 2x + 9 = 0 will be x = -1 ±2i √(2)(x equals negative 1 plus or minus 2 I square root of 2).Option D is correct.

Any equation of the form ax²+bx+c=0  where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

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

it is given that,

x² + 2x + 9 = 0

Rearrange the equation as

x² + 2x  = - 9

Add 1 on both sides of the equation,

x² + 2x +1 = - 9 +1

x² + 2x +1 = - 8

(x+1)² = -8

Taking square root,

(x+1) = √ -8

Subtract 1 from both sides,

x+1-1 = -1 ±√(-8)

x = -1 ±√(-8)

√(-8) can be written as,

√(-8) = 2i√2

Substitute the values,

x = -1 ±2i sqrt(2)

Thus, the value of x obtained after solving the equation  x² + 2x + 9 = 0 will be x = -1 ±2i √(2)(x equals negative 1 plus or minus 2 I square root of 2).Option D is correct.

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Answer:

As the value of x increases, the value of f(x) will eventually exceed the value of g(x) is the correct option.

Step-by-step explanation:

A function, f, passes through the points (1,1), (2,7) and (3,25).

The equation of the function 'f' can be written as:

The f(x) is obtained by:

                                      [tex]f\left(x\right)=3f\left(x-1_\right)+4[/tex]

                                      [tex]f\left(4\right)=3f\left(3\right)+4=\left(25\times 3\right)+4=75+4=79[/tex]

A function, g, passes through the points (1,36), (2,43) and (3,50).

The g(x) is obtained by:

                                       [tex]g\left(x\right)=g\left(x-1\right)+7[/tex]

                                  [tex]g\left(4\right)=g\left(4-1\right)+7=g\left(3\right)+7=50+7=57[/tex]

So, value of f(x) at x = 4 exceeds the value of g(x) at x = 4.

Therefore, as the value of x increases, the value of f(x) will eventually exceed the value of g(x) is the correct option.                                                                                                                                                          

Solution:

Given is:

[tex]x^2 + 14x + 40[/tex]

Factor the above polynomial

From given,

[tex]x^2 + 14x + 40[/tex]

[tex]Split\ the\ middle\ term\\\\x^2 + 4x + 10x + 40\\\\Break\:the\:expression\:into\:groups\\\\\left(x^2+4x\right)+\left(10x+40\right)[/tex]

[tex]\mathrm{Factor\:out\:}x\mathrm{\:from\:}x^2+4x\mathrm{:\quad }x\left(x+4\right)\\\\x(x + 4) + (10x + 40)\\\\\mathrm{Factor\:out\:}10\mathrm{\:from\:}10x+40\mathrm{:\quad }10\left(x+4\right)\\\\x(x + 4) + 10(x + 4)\\\\\mathrm{Factor\:out\:common\:term\:}x+4\\\\\left(x+4\right)\left(x+10\right)[/tex]

Thus, the binomials factor of given is (x + 4) and (x + 10)

Answer: You will need $4,160 for the loan.

The money that will need for the loan is $4160.

A down payment is a sum of money the buyer pays at the outset of a large transactions. The down payment represents a portion of the total purchase price, and the buyer will often take out a loan to finance the remainder.

For the given situation,

The total amount wanted to spend = $5000

Down payment = $500

Tax amount = $340

Money that will need for the loan can be calculated as

⇒ [tex]5000-(500+340)[/tex]

⇒ [tex]5000-840[/tex]

⇒ [tex]4160[/tex]

Hence we can conclude that the money that will need for the loan is $4160.

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Answer:

  2 solutions

Step-by-step explanation:

I like to use a graphing calculator to find solutions for equations like these. The two solutions are ...

__

To solve this algebraically, it is convenient to subtract 2x-7 from both sides of the equation:

  3x(x -4) +5 -x -(2x -7) = 0

  3x^2 -12x +5 -x -2x +7 = 0 . . . . . eliminate parentheses

  3x^2 -15x +12 = 0 . . . . . . . . . . . . collect terms

  3(x -1)(x -4) = 0 . . . . . . . . . . . . . . . factor

The values of x that make these factors zero are x=1 and x=4. These are the solutions to the equation. There are two solutions.

__

Alternate method

Once you get to the quadratic form, you can find the number of solutions without actually finding the solutions. The discriminant is ...

  d = b^2 -4ac . . . . where a, b, c are the coefficients in the form ax^2+bx+c

  d = (-15)^2 -4(3)(12) = 225 -144 = 81

This positive value means the equation has 2 real solutions.

Answer:

look on the graph i gave you

Step-by-step explanation:

Answer:

$15.40

Step-by-step explanation:

1.30 × 2 = 2.60

0.75 × 2 = 1.50

2.60 + 1.50 + 0.50 = 4.60

20 - 4.60 = 15.40