A boat travels 336 miles in 22hours (with a constant speed). How far can it travel in 8 hours (with the same speed)?

Answer:

25. [tex]27a^{3}b^{2}[/tex]

26. [tex]3\pi x^{3}y[/tex]

Step-by-step explanation:

For 25:

[tex]A = \frac{a+b}{2} h[/tex]  (area of a trapezoid)

[tex]A=\frac{11a^{2}b+7a^{2}b}{2} *3ab[/tex]  (substitute terms)

[tex]= \frac{18a^{2}b}{2}*3ab[/tex]  (collect like terms)

[tex]= 9a^{2}b*3ab[/tex]  (reduce the fraction by crossing out 2)

[tex]= 27a^{3}b^{2}[/tex]  (calculate)

For 26:

[tex]A=\pi r^{2}[/tex]  (equation of area of a circle)

[tex]A=\pi (3x^{3} y)^{2}[/tex]  (enter the radius)

[tex]= 3\pi x^{3} y[/tex]  (communtative property to reorder the terms)

Answer:

i think it is for 4 it is 2 and for 8 it is 4 hope this helps

Step-by-step explanation:

Answer:

volume is 540 inches^3

Step-by-step explanation:

The computation of the volume of the full sized solid is given below:

The length would be

[tex]\frac{a}{3}, \frac{b}{3}, \frac{c}{3}[/tex]

And, the volume is

[tex]\frac{a}{3} \times \frac{b}{3} \times \frac{c}{3}[/tex]

As the volume is given 20 cubic inches

So,

[tex]\frac{abc}{27} = 20\\\\abc = 540 inches^3[/tex]

hence, volume is 540 inches^3

Answer:

no question

Step-by-step explanation:

Answer:

The name of the shape is Hexagonal Prism

Answer:

74 miles

Step-by-step explanation:

Answer:

74 miles

Step-by-step explanation:

123-49=74

Answer:

1/9

Step-by-step explanation:

lol

Answer:

5x-2x

Step-by-step explanation:

4x-x = 3x

so,

5x-2x = 3x

The equivalent expression would be; 5x-2x

Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.

To derive equivalent expressions of some expression, we can either make it look more complex or simple. Usually, we simplify it.

We are given that the expression as; 4x - x

We need to find an equivalent expression.

Therefore, solving further;

4x-x = 3x

Thus, we can also create one expression as;

5x-2x = 3x

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Answer:

The data can be modeled using linear equatins, because there's the same amount of population for fish A (+20 per year) and fish B (+30 per year) every year.

Answer:

your answer is c (56 fluid ounces)

Step-by-step explanation:

Answer:

x = -8

Step-by-step explanation:

4x - (9 - 3x) = 8x - 1

remove parenthesis

4x - 9 + 3x = 8x - 1

add 9 to both sides

4x + 3x = 8x + 8

subtract 8x from both sides

-x = 8

x = -8

The solution to the equation 4x - (9 - 3x) = 8x -1​ is x = -8

From the question, we have the following parameters that can be used in our computation:

4x - (9 - 3x) = 8x -1​

Open the brackets

So, we have

4x - 9 + 3x = 8x - 1

Evaluate the like terms

So, we have the following representation

7x - 9 = 8x - 1

Next, we have

8x - 7x = 1 - 9

So, we have

x = -8

Hence, the solution is x = -8

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Answer:

x=30 should be the answer

Answer:

x=30

Step-by-step explanation:

x=5×6

Multiply 5 and 6 to get 30.

x=30

Answer:

-1/6x

Step-by-step explanation:

for a slope to be perpindicular it has to be the opposite.

Hello there! :)

Perpendicular lines have slopes that are opposite reciprocals. It means that if we have a number, we flop it over and make it negative.

We have 1/6.

We flop it over:

6/1

Now, we make it negative:

-6/1

-6/1 simplifies to

-6

Hope it helps!

If you have any question, feel free to ask!

~An excited gal

[tex]MagicalNature[/tex] here to help :)

Answer:

x = 9

y = 12

Step-by-step explanation:

-5x + 4y = 3

x = 2y - 15

Manipulate the equations such that the coefficients of two variables are additive inverses

-5x + 4y = 3

x = 2y - 15

Inverse operations

-> 4y - 3 = 5x

-> 2y - 15 = x (*(-5))

->4y - 3 = 5x

-> -10y + 75 = -5x

Now add the equations to eliminate a variable,

4y - 3 = 5x

-10y + 75 = -5x

-6y + 72 = 0

Inverse operations

-6y + 72 = 0

72 = 6y

/6       /6

12 = y

Back solve to find (x)

2y - 15 = x

2(12) - 15 = x

24 - 15 = x

9 = x

Answer:

Angle C = 28°

Angle D = 59°

Angle DEC = 63°

Answer:

5 • 10^-4 I evaluate this by using scientific notation.

The value of the ratio  (3.5 x 10⁵) : (7x10⁸)  is 0.0005.

An expression is a sentence with at least two numbers or variables having mathematical operation. Maths operations can be addition, subtraction, multiplication, division.

For example, 2x+3

To solve (3.5 x 10⁵) : (7x10⁸), we can simplify the expression by dividing the numerical coefficients and dividing the exponents separately.

Dividing the numerical coefficients 3.5 and 7, we get:

3.5 ÷ 7 = 0.5

Dividing the exponents 5 and 8, we get:

10⁵ ÷ 10⁸ = 10⁵⁻⁸

              = 10⁻³

Therefore, the simplified expression is:

0.5 x 10⁻³

We can further simplify this expression by converting 10⁻³ to a decimal:

10⁻³ = 1/1000 = 0.001

So, the final answer is:

(3.5 x 10⁵) : (7x10⁸) = 0.5 x 10⁻³

                              = 0.5 x 0.001

                              = 0.0005

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The given expressions and their equivalent expressions are:

Equivalent expressions are expressions that have the same value when evaluated or when you simplify each of them.

Let's evaluate and simplify each of the given expressions:

x − 4x + 6y + (14x − 5y)

Open bracket

x - 4x + 6y + 14x - 5y

Combine like terms

11x + y

Therefore, x − 4x + 6y + (14x − 5y) is equivalent to 11x + y

3x + 3y + 2(2x − y)

Open bracket

3x + 3y + 4x - 2y

Combine like terms

7x + y

Therefore, 3x + 3y + 2(2x − y) is equivalent to 7x + y.

(5x − 3y) − x + 3x − 5y

5x - 3y - x + 3x - 5y

7x - 8y

Therefore, (5x − 3y) − x + 3x − 5y is equivalent to 7x - 8y.

4(x + y) − 3(x + y)

4x + 4y - 3x - 3y

x + y

Therefore, 4(x + y) − 3(x + y) is equivalent to x + y.

5(x + y) + 6(x − y)

5x + 5y + 6x - 6y

11x - y

Therefore, 5(x + y) + 6(x − y) is equivalent to 11x - y.

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Answer:

CORRECT

Step-by-step explanation:

Answer:

3x-5

Step-by-step explanation:

Answer:

Part A: $336.4

Part B:279.2645625

Step-by-step explanation:

$320+5.125% tax = 336.4

Part B:$279.2645625-5.125% tax = 279.2645625 bucks.

Thank you and good luck cheating

Answer:

Número de boletos general = 8000

Número de boletos preferente = 2000

Step-by-step explanation:

Total de personas = 10000 personas

Venta total = $6600000

Ecuación para la venta total en terminos de boletos vendidos:

Número de boletos general = variable g

Número de boletos preferente = variable p

$500g + $1300p = $6600000

Simplifica la ecuación:

5g + 13p = 66000

Subsituye una de las variables usando la ecuación g + p = 10000:

g + p = 10000 => g = 10000 - p

5g + 13p = 66000 => 5(10000 - p) + 13p = 66000

Aislar la variable p:

5(10000 - p) + 13p = 66000

50000 - 5p + 13p = 66000

8p = 16000

p = 16000/8 = 2000

g = 10000 - p = 10000 - 2000 = 8000

Número de boletos general = 8000

Número de boletos preferente = 2000

Answer:

It is the same thing except for subtracting -4x and 9x, you subtract -4 and 9 and just add x at the end

Answer: No, I wouldn't because he didn't do what he was told.

Step-by-step explanation: Using Matt's survey we draw a Venn Diagram.

Venn Diagram is a diagram used to show the logical relationship between two or more set of items.

The survey Matt did is represented below.

To construct the diagram:

1) Create 3 sets of data (represented by the circles) intersecting each other;

2) The space where the three intersect is the number of people surveyed that preferred all types. So, we write 7 in the space;

3) According to the research, 19 preferred comedies and variety. But there are already 7 in the intersect, so, 12 has those preferences;

4) Following the same logic, 14 preferred variety and drama. Then, 7 has those preferences;

5) And, 8 preferred comedy and drama;

6) Now, to determine how many of them has an exclusive preference, we take the data and subtract the already known values:

7) 5 don't like any of the types, so it is represented outside the three circles;

After creating the Diagram, we can determine how many people answered the poll:

total = 31 + 12 + 12 + 8 + 7 + 7 + 22 + 5

total = 104

Therefore, as a personnel manager, I wouldn't hire Mr. Matic because he was supposed to poll 100 people but he polled 104 people.

Answer:

Its 12

Step-by-step explanation:

Answer:

$45

Step-by-step explanation:

Profit= $18

Books = 9

Sold each at = $3

So, total CP (Cost Price)= 9*3 = $ 27

Also Profit = SP - CP

Therefore, SP = Profit + CP

= 18 + 27 = $45

Step-by-step explanation:

step 1. the x intercepts (called zeros) are where y = 0 or where the graph is on the x axis

step 2. the zeros are -3, 0, 2, 5.

step 3. therefore there are 5 intervals

step 4. ( ,-3) - f(x) = "-"

step 5. (-3, 0) - f(x) = "+"

step 6. (0, 2) - f(x) = "+"

step 7. (2, 5) - f(x) = "-"

step 8. (5, ) - f(x) = "+".

A function assigns the values. The x-intercept for the given function is -3, 0, 2, and 5.

A function assigns the value of each element of one set to the other specific element of another set.

The given function can be rewritten as,

f(x) = x²(x-5)(x+3)³(x-2)

f(x) = (x-0)² (x-5) (x+3)³ (x-2)

Now, the value of x in the given function, or the x-intercept can be found by substituting the value of the factors of function as 0.

0 = (x-0)² (x-5) (x+3)³ (x-2)

(x-0)² = 0

x = 0

x-5 = 0

x = 5

x+3 = 0

x = -3

x - 2 = 0

x = 2

x = -3, 0, 2, 5

Hence, the x-intercept for the given function is -3, 0, 2, and 5.

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Answer: I cant see the picture

Step-by-step explanation:

Answer:

See attachment.

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

The fastest way to graph a function is to plug it into a graphing calculator.

Graphing by hand would require a table of values, plotting those points, and connecting the dots.

We can also use the parent function x² and determine the graph.

Answer:

(-4, 5/2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

x = -4

5x + 4y = -10

Step 2: Solve for y

Substitution