If 6 pens cost $2.40 What is the cost of 9 pens?

Answer:

D.

Step-by-step explanation:

it is right

Answer:

To simplify the expression (a÷b)³×(b÷c)×(c÷a)³ when a=3, b=a², c=a³, we can substitute the given values and perform the calculations.

Substituting the values of a, b, and c:

a = 3

b = a² = 3² = 9

c = a³ = 3³ = 27

Now let's simplify the expression:

(a÷b)³×(b÷c)×(c÷a)³

(3÷9)³×(9÷27)×(27÷3)³

Simplifying each term:

(3÷9) = 1/3

(9÷27) = 1/3

(27÷3) = 9

Now we can substitute the simplified values back into the expression:

(1/3)³×(1/3)×9

Simplifying further:

(1/27)×(1/3)×9

1/9

Therefore, the simplified expression is 1/9.

Answer:

In his 1961 inaugural address, John F. Kennedy declared that “the torch has been passed to a new generation of Americans.” He was referring to the fact that a 43-year-old was replacing a 70-year-old in the White House, but his words were meant to resonate as well with even younger Americans who were just...

Step-by-step explanation:

Take x and y as the sides if the rectangle

Clear x from both equations

Equal both expressions

Now find x using one of the first equations

One of the sides measures 6cm and the other one 10cm

The equation y = 2x - 6 is a line in the form known as Slope-Intercept Form. This form organizes the equation so that you can easily discern the y-intercept and slope.

Slope-intercept form is y = mx + b. So here, m = 2, b = -6.

ANSWER

EXPLANATION

We want to solve the given linear equation:

To do this, divide both sides of the equation by -6 to isolate u and simplify:

That is the solution to the linear equation.

Answer:

35.7t

Step-by-step explanation:

i took the quiz so i now its rhit at least i think

Answer:

You would round down, but not to 3. You would round it down to 4.

Step-by-step explanation:

If a decimals last digits are five or more, you would round up. But 4.22 would be rounded down because its less than 5.

The inverse of matrix A, if it exists, is:

A^(-1) = [7/43, 2/43; 10/43, 9/43]

To find the inverse of a matrix A, we need to determine if the matrix is invertible by calculating its determinant. If the determinant is non-zero, then the matrix has an inverse.

Given the matrix A = [9, -2; -10, 7], we can calculate its determinant as follows:

det(A) = (9 * 7) - (-2 * -10)

= 63 - 20

= 43

Since the determinant is non-zero (43 ≠ 0), we can proceed to find the inverse of matrix A.

The formula to calculate the inverse of a 2x2 matrix is:

A^(-1) = (1/det(A)) * [d, -b; -c, a]

Plugging in the values from matrix A and the determinant, we have:

A^(-1) = (1/43) * [7, 2; 10, 9]

Simplifying further, we get:

A^(-1) = [7/43, 2/43; 10/43, 9/43].

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9x-2+52=180

That's the answer

Answer:

14.44444444444444444444444444444444444

Step-by-step explanation:

9x - 2 + 52 = 180

simplify

9x +50 = 180

9x = 130

14.4444444444

Answer:

Martha can buy 7 packs of socks.

Step-by-step explanation:

Martha has $53

Shoes = $42

Socks = $1.50 each

First subtract 42 from 53 to figure out how much is left:

⇒ $53 - $42 = $11

then divide the answer by how much each pack of socks cost:

⇒ \(\frac{11}{1.50}\) = 7.33

next, take the whole number of the answer and multiply that by $1.50 to figure how much 7 pack of socks cost:

⇒ 7 socks x $1.50 = $10.50

subtract the answer from $11 to figure out how much remains:

⇒ $11 - $10.5 = $0.50

Answer:

She can buy 7 packs of socks

You are cheating. I see this is a test.

The number of different committees that can be formed is 495

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

People = 12

Committee = 4

These can be represented as

n = 12 and r = 4

The number of different committees that can be formed is

Number = nCr

So, we have

Number = 12C4

Evaluate

Number = 495

Hence, the committee are 495

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The algebraic expression "difference of 4 and a number" where the number is letter x is represented as 4 - x.

Algebra is an elementary branch of mathematics that deals with the numbers and the basic mathematics operations of addition, subtraction, division and multiplication. Algebraic expression involves arithmetic where the use of unknown quantities along with numbers.

From the question, we have the mathematical statement "difference of 4 and a number" and the number is "a number" is represented with the letter x.

the word difference in mathematics implies Subtraction (-)

Therefore, the mathematical statement "difference of 4 and a number" is represented as 4 - x.

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Answer:

439999.999999999999999

Step-by-step explanation:

The value of f(5) is e^5 + 5/3, which is exactly 150.0798257693, and the value of f(11) is e^11 + 11/3, which is approximately 59877.808.

The function is f(x)= e^x + 1/3x

To find the value of f(5), put the value of x = 5 in the function f(x)= e^x + 1/3x. Which is equal to f(5) = e^5 + 5/3.

Similarly, to find the value of f(11), put the value of x = 11 in the function f(x)= e^x + 1/3x.

Which is equal to f(11) = e^11 + 11/3

f(11) = 59874.141715198 + 3.6666666667

f(11) = 59877.808381865

f(11) ≈ 59877.808

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1) Answer: Option C. 225

2) Answer: Option C. 4.5

Answers are:

8. 225

9. 50

Answer:.

Step-by-step explanation im not sure

Answer:

Step-by-step explanation:

47.)  sin20 = 6/b

b = 6(sin20) = 17.5

c = √6²+17.5² = 18.5

48.)  tan61 = y/18

y = 18(tan61) = 32.5

z = √18²+32.5² = 37.1

49.)  r = √25²+23² = 34

50).  d = √30²+7² = 30.8

51.)  sin71 = j/19

j = 19(sin71) = 18

k = √19²-18² = 6.2

52.)  y = √4²-1² = √7 = 2.6

53.)  sin49 = f/26

f = 26(sin49) = 19.6

h = √26²-19.6² = 17

54.)  t = √7²+4² = 8.1

Answer:

horizontal line

Step-by-step explanation:

The slope formula is m=(y2-y1)/(x2-x1)

-6+6/-4-1

y2-y1 = 0

Answer:

for square its A=a2

for trapezoid its A=a+b/2h

for triangle A=hbb/2

for parallelogram A=bh

Step-by-step explanation:

Answer:

15/7

Step-by-step explanation:

slope formula: (y2 - y1) divided by (x2 - x1)

y2 = -10

y1 = 5

x2 = -10

x1 = -3

(-10 - 5) divided by (-10 -(-3))

-15 divded by -7

15/7

To answer this question, first of all, we need to find the composition of the two given functions:

The function r(x) = -2x²-2.

The function q(x)= 2x - 1.

The composition is given by:

Then, we have:

Expanding and simplifying, we have:

Finally

Since we are asked for:

Then

In summary, the answer is:

On solving the provided question, we can say that Anil’s age is a factor of 48; prime factors of 48 = 1,2,3,4,6,12,24, => anil's age = 48 +7 = 55

Any natural number other than 1 with just itself and the number 1 as its divisors is considered a prime factor. Actually, 2, 3, 5, 7, 11, and so on are some of the first prime numbers. an amount that has been multiplied to produce another amount. By dividing 15 by 3 and 5, for instance, we get 3 5 = 15. main elements: Prime factors include all factors that are prime but are not composite. A few prime factors of 30 are 2, 3, and 5. Only 2 and 3 are prime factors of 12, so listing 2 twice as 2 2 3 (or 22 3) is necessary to factorize 12. The sum of 2 + 3 is not 12.

Anil’s age is a factor of 48.

prime factors of 48 = 1,2,3,4,6,12,24,

anil's age = 48 +7 = 55

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Answer:

A≈3.14m²

Step-by-step explanation:

Answer:

Area of Circle =

\begin{gathered}\pi {r}^{2} \\ = \pi( {1}^{2} ) \\ = 1\pi \\ = \pi {m}^{2} \end{gathered}

πr

2

=π(1

2

)

=1π

=πm

2

Separate the variables.

\((x^2+1) \dfrac{dy}{dx} = xy \implies \dfrac{dy}y = \dfrac x{x^2+11} \, dx\)

Integrate both sides. On the right, substitute \(u=x^2+11\) and \(du=2x\,dx\).

\(\displaystyle \int \frac{dy}y = \int \frac x{x^2+11}\,dx = \frac12 \int \frac{du}u\)

\(\ln|y| = \frac12 \ln|u| + C\)

\(\ln|y| = \ln\left(\sqrt{x^2+11}\right) + C\)

\(e^{\ln|y|} = e^{\ln\left(\sqrt{x^2+11}\right)+C}\)

\(\boxed{y = C\sqrt{x^2+11}}\)

Using separation of variables, the solution to the differential equation is:

y = ksqrt(x² + 11)

In separation of variables, we place all the factors of y on one side of the equation with dy, all the factors of x on the other side with dx, and integrate both sides.

In this problem, the differential equation is:

(x² + 11)y' = xy

Applying separation of variables, we have that:

y'/y = x/(x² + 11)

\(\int \frac{y^{\prime}}{y} = \int \frac{x}{x^2 + 11}\)

\(\ln{y} = \frac{\ln{x^2 + 11}}{2} + K\)

\(\ln{y} = \ln{(x^2 + 11}^{\frac{1}{2}}) + K\)

\(\ln{y} = \ln{\sqrt{x^2 + 11}} + K\)

Hence the solution is:

y = ksqrt(x² + 11)

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Given:

A function

Required:

Divide f(x) by 2x + 1.

Explanation:

The dividend is

and the divisor is 2x+1.

Find the remainder by substituting

in f(x).

The remainder is 0.

Final Answer:

Option B is the correct answer.

The distance from the pole at which the cable is anchored is about 25 feet from the pole .

Given that a 35-foot cable is run from the top of the pole and anchored to the ground at a distance from the pole. The problem is to determine about how far away from the pole would it be anchored.

Let AB be the pole of length 40 feet, and CD be the 35-foot long cable anchored to the ground at D and attached to the top of the pole at C. Let E be the point on the ground at which the cable is taut and is anchored. The distance ED is to be determined.

we can see that ∆CDE is a right-angled triangle with ∠CED = 90°.

Using Pythagoras Theorem, we have:CD² = CE² + DE²35² = (40 - ED)² + DE² .

Simplifying the above equation

1225 = 1600 - 80ED + ED²

1225 - 1600 + 80ED - ED² = 0ED² - 80ED + 375 = 0

Factorizing the above quadratic equation

ED² - 25ED - 15ED + 375 = 0ED(ED - 25) - 15(ED - 25)

  = 0(ED - 15)(ED - 25) = 0So, ED = 15 ft or ED = 25 ft.

The negative value of ED is extraneous since it represents a point below the ground, which is not possible. Therefore, the distance from the pole at which the cable is anchored is about 25 feet from the pole.

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Answer:

x=12

Triangle abc and Def are congruent but different sizes. The original triangle has side values of 2, 6 and 5. Then the shape is dilated by an unknown factor, giving it the side lengths of 4, x, and 10. Looking at the increase in side lengths we see that theres an increase of 2 to 4, or multiplying by 2 and an increase from 5 to 10, or multiplying by to. So now that we know there was a dilation of 2, we multiply 6 by 2 to find 12

Answer:

6 is your answer since its in the middle.

Step-by-step explanation:

Answer:

no solutions

Step-by-step explanation:

Hi there!

Here is an answer:

\(5 + 2(3 + 2x) = x + 3(x + 1)\\11+4x=4x+3\\11=3,\;wrong\)

Hope this helps)

Have a nice day!