Solve 24x ⋅ 321-x = 8x+2

The speed of the Elvira is 6.545 miles per hour. Then the speed of the Altheia will be 0.545 miles per hour.

The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.

We know that the speed formula

Speed = Distance/Time

Let the speed of the Elvira be x. Then the speed of the Altheia will be (x - 6).

Let the distance between the coffee shop and Elvira's house be d.

Then the distance between the coffee shop and Altheia's house will be (3.6 - d).

Then we have

x = d / 0.5 ...1

(x - 6) = (3.6 - d) / 0.6 ...2

In solving the equations 1 and 2, we have

x = 6.545 and d = 3.2725 miles

Then the speed of the Elvira is 6.545 miles per hour. Then the speed of the Altheia will be 0.545 miles per hour.

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Answer:d

Step-by-step explanation:

The translation from the pre-image, Parallelogram ABCD, to the image, Parallelogram A'B'C'D' is T2, 1(x, y)

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The parallelogram ABCD is shifted to the right by 2 units and shifted up by 1 unit to get parallelogram A'B'C'D'.

Graph transformation is the process by which a graph is modified to give a variation of the proceeding graph.

The graphs can be translated or moved about the xy-plane.

This transformation rule is represented as:

(x,y) -> (x + 2,y + 1)

This transformation rule can be rewritten as:

T2, 1(x, y)

Hence, the translation from the pre-image, Parallelogram ABCD, to the image, Parallelogram A'B'C'D' is T2, 1(x, y)

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Step-by-step explanation:

Heres the answer And if it doesn't work tell me

The current portion of the long term liabilities are included in Current Liabilities.

Long term liabilities are monetary obligations of a company that has to  pay after an year.

Current Liabilities are those liabilities which have top be paid in the present financial year .

It includes the short term borrowings , accounts payable , expenses , notes payable etc.

The current portion of the long term liabilities are included in Current Liabilities.

Like the interest of a long term loan of this year is a long term liability in the current year.

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The table that correctly models the linear equation is table A.

The first glass added will have a height of 5.5 inches, and then for each glass that we add, we are adding a height of 1.2 inches.

And so on, so we have the linear relation:

y = 5.5in + x*1.2in

Where x is the number of glasses in the tower.

Then the table that correctly models this situation is table A.

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Answer:

the one with 5.5, 6.7 etc

Step-by-step explanation:

no

Answer:

7 frnds will play soccer!

Step-by-step explanation:

8+5 = 13

20 - 13 = 7

I hope it helps u dear! (^^)

[tex]x^3 y^4 \cdot x^5 y^{-5}\\\\=x^{5+3} \cdot y^{4-5}~~~~~~~~~~~~~~~~~~~~~~~;[a^m \cdot a^n = a^{m+n}]\\\\=x^8 y^{-1}\\\\=\dfrac{x^8}{y}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~;\left[a^{-n} = \dfrac 1{a^n},~~~ a \neq 0\right][/tex]

5 ounces per week x 12 weeks = 60 ounces

1 pound = 16 ounces

60 / 16 = 3 pounds 12 ounces

3 pounds 12 ounces + 8 pounds 3 ounces = 11 pounds 15 ounces

answer: 11 pounds 15 ounces

The net given below when folded will form a 3-Dimensional shape, this shape is a triangular prism.

Suppose you've got a triangle. Now, stretch it up so as to make a stack of triangles up above another. This new 3d object is called a triangular prism.

Usually, when we talk about a triangular prism, we talk about the triangular prism, whose stack goes straight up, thus, we talk about a right triangular prism.

The net given below when folded will form a 3-Dimensional shape, this shape is a triangular prism.

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Answer:

30%

Step-by-step explanation:

150-105 = 45

(45 / 150 ) * 100 = 30%

The percentage of 150 is left after giving out 105 is 30%

The given numbers are 150 and 105.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Now, the difference of numbers = 150-105=45

45/150 × 100

= 30%

Therefore, the percentage of 150 is left after giving out 105 is 30%

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"Your question is incomplete, probably the complete question/missing part is:"

What percentage of 150 is left after giving out 105.

Answer: B. 2,448π units³

Step-by-step explanation:

     We will use the formula for the volume of a cylinder to solve.

(The formula, put simplify, finds the area of the base circle and multiples by the height.)

V = πr²h

V = π(12)²(17)

V = (144)(17)π

V = 2,448π

       The volume is 2,448π units³ which is option B for your problem.

Solution :

We have been provided with the height and radius and we need to calculate the volume of cylinder. So we would be using it's formula :

Here,

We have :

Substituting the value :

>> V = π (12)² (17)

>> V = π (12 × 12) (17)

>> V = π × 144 × 17

>> V = π × 2448

>> V = 2448 π

Therefore :

Answer:

3x + 4 + 2

7x + 2

9x

9x + 4

13x

Step-by-step explanation:

3x add 4 and 2

7x add 2

A quadratic equation is written in the form  [tex]ax^{2} + bx + c = 0[/tex]

Looking at the second, third, and fourth options, we see that the highest powers are greater than two, which automatically disqualifies them from being quadratics (since the highest power in a quadratic is 2).

This makes the first option the correct choice since the expansion of the equation gives [tex]2x^{2} + 28x + 61[/tex]

Answer:

a

Step-by-step explanation:

Answer: The correct answer is (-1, 2).

Step-by-step explanation: Find how many units the original F point is away from the center. It is 2 units away in terms of x, and 4 units away in terms of y. The x value has to be negative since the initial x point was already negative. -2/2 = -1. Hence, the x value is -1.  4/2 = 2. Hence, the y value is 2.

Answer:

2, 3, 5, 7

Step-by-step explanation:

prime numbers between 1 to 10 are 2,3,5,7. it's very easy. 1 is not prime number because it behave as both prime and composite.

Answer:

Step-by-step explanation:

To solve this question, we can use the formula [tex]S=\theta r[/tex], where [tex]S[/tex] is the arc length, [tex]\theta[/tex] is the central angle of the sector in radians, and [tex]r[/tex] is the radius.

In this situation, we know that [tex]S=55[/tex] and [tex]\theta=5[/tex]

This means that [tex]55=5r \longrightarrow \boxed{r=11}[/tex]

Step-by-step explanation:

(5,2) & (10,-3)

the slope of the points are

y2 - y1 / x2- x1

-3-2/10-5

-5/5

-1

the mid point of the given points are

x= x1 + x2/2 , y= y1 +y2 /2

.

.

.

.

( , )

the equation of the line that passes through the given points are as

y+ y1 = m (x+ x1)

:. now put the value of the mid point in y1 and x1 and the value of slope in m

also find the mid point, it's hard to do it in a mobile without calculator and paper and pen

sorry

Answer: If you mean to multiply, the answer is 8/15.

Step-by-step explanation:

Multiply numerator by numerator and denominator by denominator.

2 x 4 = 8

3 x 5 = 15

ANSWER: 8/15

Answer:

i thank 4 for this players

Answer:

$113.75

Step-by-step explanation:

First add 70.25 to 43.50 to get 113.75

Answer:

$113.75

Step-by-step explanation:

b-70.25=43.50

add 70.25 to each side ..

b-70.25=43.50

+70.25+70.25

simpilfy...b=113.75

Step-by-step explanation:

Reflection in the x axis (x,y)—>(x,-y)

(-4,-3)—>(-4,3)

The volume of the given pyramid is  64 cubic inches.

The volume of the pyramid is the product of one-third of the height and square of the base side length.

The volume of Pyramid A =  (1/3)(side²)(height)

The volume of a square pyramid is equal to one-third of the product of the base’s area and the pyramid’s height. The formula is:

V = (1/3) × a² × h

where a is the length of the square base, and h is the height (or altitude).

We are given that;

h = 3 inch, a = 8 inch, and hypotenuse = 5 inch,

Now, we can plug in the values into the formula and get:

V = (1/3) × 8² × 3

V = (1/3) × 64 × 3

V= (64 x 3)/3

V = 64 inch³

Therefore, by the given data the volume of the pyramid will be 64 cubic inches.

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Answer:

I think it's 5

Step-by-step explanation:

The distance from point A to 0 is 2, then to point B makes it 3, then to point C is a total of 5. Or you could just add the absolute value of A, which is 2, with the absolute value of C, which is 3 to get 5

Check the picture below.

The number of players the team can bring to the tournament is 21

From the question, we are to write an equation that can be used to solve the number of players the team can bring to the tournament

From the given information,

The members of the softball team raised $1405.25 and they rented a bus for $822.50

∴ They have $1405.25 - $822.50 left

Also, they budgeted $27.75 per player for meals

Then, x, the number of players the team can bring to the tournament is

x = ($1405.25 - $822.50) ÷ $27.75

x = $582.75 ÷ $27.75

x = 21

Hence, the number of players the team can bring to the tournament is 21.

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Answer:

(0, 5), (1, 3), (2, 1), (3, -1), (4, -3)

Step-by-step explanation:

To find the possible solutions, we just plug in a random value for x and then solve for y. When x - 0, y = 5. When x = 1, y = 3. We just continue doing this until we have 5 different solutions.

(i) Use the formula for the determinant of a 2×2 matrix.

[tex]\begin{vmatrix}a&b\\c&d\end{vmatrix} = ad-bc[/tex]

[tex]\implies \det(A) = \begin{vmatrix}4 & -3 \\ 2 & 5\end{vmatrix} = 4\times5 - (-3)\times2 = \boxed{26}[/tex]

(ii) The adjugate matrix is the transpose of the cofactor matrix of A. (These days, the "adjoint" of a matrix X is more commonly used to refer to the conjugate transpose of X, which is not the same.)

The cofactor of the (i, j)-th entry of A is the determinant of the matrix you get after deleting the i-th row and j-th column of A, multiplied by [tex](-1)^{i+j}[/tex]. If C is the cofactor matrix of A, then

[tex]C = \begin{pmatrix}5&-2\\3&4\end{pmatrix}[/tex]

Then the adjugate of A is the transpose of C,

[tex]\mathrm{adj}(A) = C^\top = \boxed{\begin{pmatrix}5&3\\-2&4\end{pmatrix}}[/tex]

(iii) The inverse of A is equal to 1/det(A) times the adjugate:

[tex]A^{-1} = \dfrac1{\det(A)} \mathrm{adj}(A) = \boxed{\begin{pmatrix}\frac5{26}&\frac3{26}\\\\-\frac1{13}&\frac2{13}\end{pmatrix}}[/tex]

(iv) The system of equations translates to the matrix equation

[tex]A\begin{pmatrix}x\\y\end{pmatrix}=\begin{pmatrix}6\\16\end{pmatrix}[/tex]

Multiplying both sides on the left by the inverse of A gives

[tex]A^{-1}\left(A\begin{pmatrix}x\\y\end{pmatrix}\right)=A^{-1} \begin{pmatrix}6\\16\end{pmatrix}[/tex]

[tex]\left(A^{-1}A\right)\begin{pmatrix}x\\y\end{pmatrix}=A^{-1} \begin{pmatrix}6\\16\end{pmatrix}[/tex]

[tex]\begin{pmatrix}x\\y\end{pmatrix}=\begin{pmatrix}\frac5{26}&\frac3{26}\\\\-\frac1{13}&\frac2{13}\end{pmatrix} \begin{pmatrix}6\\16\end{pmatrix}[/tex]

[tex]\begin{pmatrix}x\\y\end{pmatrix}=\boxed{\begin{pmatrix}3\\2\end{pmatrix}}[/tex]