Lily finds some dimes and quarters in her piggy bank. How much money (in dollars) does she have if she has 5 dimes and 12 quarters? How much money (in dollars) does she have if she has x dimes and y quarters?

Answer:

-6x²+xy-6y²

Step-by-step explanation:

3y² - 4x² + xy - 2x² - 9y²

-4x²+ xy - 2x² - 6y²

-6y² + xy - 6y²

Answer:

−6x² + xy − 6y²

Step-by-step explanation:

Simplify 3y²-4x² + xy - 2x² - 9y²​

Step 1

Subtract 9y² from 3y²

−4x² +xy −2x² −6y²

Step 2

Subtract 2x²  from −4x²

−6x²  + xy  − 6y²

Answer:

Step-by-step explanation: 6 visits

Answer:

Answer:

option a will be the same cost as b when its at 24 because you have to pay 21 then 1 dollar each time you go so you go 3 times and you can go 6 times till 24 on the other plan so 6 time for b and 3 for a and that's when they will be the same

Answer:

14.

let me know if you want the steps

Answer:

Step-by-step explanation:

Diameter d = 13 meters

Circumference = πd = 3.14 × 13 = 40.82 meters

The evaluation of the expression is 2, if the expression is x - y + z(x + w).

Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

Given that x = 1, y = 1, w = 1, and z = 1

We have been given expression

⇒ x - y + z(x + w)

Substitute the values of x = 1, y = 1, w = 1, and z = 1 in the above expression,

⇒ 1 - 1 + 1(1 + 1)

⇒ 0 + 1(2)

⇒ 2

Hence, the evaluation of the expression is 2.

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Your question is incomplete, probably the missing part is:

Given x = 1, y = 1, w = 1, and z = 1 and this expression x - y + z(x + w): what is the evaluation of the logical expression?

To find the radian measure of a central angle that intercepts an arc of length 12 inches in a circle with a radius of 17 inches.

In a circle, the relationship between the central angle (θ) and the arc length (s) is given by the formula s = rθ, where r is the radius of the circle. In this case, the radius (r) is 17 inches, and the arc length (s) is 12 inches.

To find the radian measure of the central angle (θ), we rearrange the formula as follows:

s = rθ  (Divide both sides by r)

θ = s/r

Substituting the given values:

θ = 12/17

Therefore, the radian measure of the central angle that intercepts an arc of length 12 inches in a circle with a radius of 17 inches is approximately 0.7059 radians.

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A theorem which is used to find the rational solutions of a polynomial equation is known as the rational root theorem.

A polynomial expression is given and after solving them we get the two values known as the roots of the function.

These are also known as the zeros of polynomial as after putting these values in the equation we get the result as 0 .

We should use the rational root theorem only when the value of coefficients are small.

The theorem states that each rational solution x = p ⁄ q, when on simplified satisfies the below mentioned points,

p is an integer factor of the constant term a0, and

q is an integer factor of the leading coefficient an.

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A square tuvw is dilated by a scale factor of 6. The measure of side uv is 3 units.

Dilation is a transformation that makes items smaller or larger by using a scale factor.

Scale factor is the ratio of the size of the resulted dilated shape to the size of original shape.

Scale factor = size of dilated figure / size of original figure.

In the problem, the scale factor = 6.

The dilated square has side length of 18.

Hence,

Scale factor =  side of  t'u'v'w' / side of  tuvw

6 = 18 / side of  tuvw

side of  tuvw  = 18/6 = 3

There were typos in your question, most likely it was:

square tuvw is dilated by a scale factor of 6 to form square t'u'v'w'. side u'v' measures 18. what is the measure of side uv?

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The following is the expected value of a number of books a student buys at the next book fair is 2.404 books.

The random variable b's expected value is then calculated as follows:

E(X) = 1 x 0.285 + 2 x 0.333 + 3 x 0.168 + 4 x 0.136 + 5 x 0.063 + 6 x 0.015 E(X)  = 2.404 books.

Thus, the expected value of discrete probability distribution is 2.404 books.

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The graph for the question is attached.

To solve the given differential equation using the Laplace transform, we will follow these steps:

Step 1: Take the Laplace transform of both sides of the equation.

Step 2: Solve for the Laplace transform of the unknown function.

Step 3: Use the inverse Laplace transform to obtain the solution in the time domain.

Let's begin with Step 1:

Taking the Laplace transform of the given differential equation, we have:

s^2 * Y(s) - 2s * y(0) - y'(0) - 15Y(s) = 1/s

Here, Y(s) represents the Laplace transform of the unknown function y(t).

Now, applying the initial conditions y(0) = 0 and y'(0) = 0, we get:

s^2 * Y(s) - 15Y(s) = 1/s

Step 2:

To solve for Y(s), we can factor out Y(s) as a common factor:

Y(s) * (s^2 - 15) = 1/s

Dividing both sides by (s^2 - 15), we have:

Y(s) = 1 / (s * (s^2 - 15))

Now, we need to express the right side in partial fractions. Let's decompose it as follows:

1 / (s * (s^2 - 15)) = A/s + (Bs + C) / (s^2 - 15)

To determine the constants A, B, and C, we multiply both sides by the common denominator:

1 = A * (s^2 - 15) + (Bs + C) * s

Expanding and collecting like terms:

1 = (A * s^2 + Bs^2 + Cs) - 15A

Comparing coefficients of like powers of s:

0s^2: B = 0

1s: C = 0

s^2: A = -1/15

Therefore, the partial fraction decomposition is:

1 / (s * (s^2 - 15)) = -1 / (15s) + 0 / (s^2 - 15)

Substituting the partial fraction decomposition into Y(s), we get:

Y(s) = -1 / (15s) + 0 / (s^2 - 15)

Simplifying:

Y(s) = -1 / (15s)

Step 3:

Now, we need to find the inverse Laplace transform of Y(s) to obtain the solution in the time domain.

Using a standard Laplace transform table, we find that the inverse Laplace transform of -1 / (15s) is:

y(t) = -1/15 * (1 - e^(0t))

Since e^(0t) is equal to 1, we can simplify the equation further:

y(t) = -1/15 * (1 - 1)

y(t) = 0

Therefore, the solution to the given differential equation is y(t) = 0.

The value of tan ZABC in AMBC (not shown) is 5/12. In trigonometry, the tangent (tan) of an angle is defined as the ratio of the length of the opposite side to the length of the adjacent side in a right triangle.

The Pythagorean identity states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. So, we have (AC)^2 = (BC)^2 + (AB)^2.

Given that cos ZABC = 12/13, we know that the adjacent side (BC) is 12, and the hypotenuse (AC) is 13. By using the Pythagorean identity, we can find the length of the opposite side (AB).

(AB)^2 = (AC)^2 - (BC)^2

(AB)^2 = 13^2 - 12^2

(AB)^2 = 169 - 144

(AB)^2 = 25

Taking the square root of both sides, we find that AB = 5. Therefore, the ratio of the opposite side (AB) to the adjacent side (BC) is 5/12, which is equal to the value of tan ZABC.

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Answer:

10 hours

Step-by-step explanation:

Amount paid= material fee + ($8)(number of hours worked)

Let the number of hours the plumber worked be t.

$107= $27 +$8t

107 -27= 8t

80= 8t

8t= 80

Divide both sides by 8:

t= 80 ÷8

t= 10

Thus, the plumber worked for 10 hours.

The coordinate of the midpoint of line segment with endpoints (5,5) and (10,8) is ( 15/2, 13/2 ).

The midpoint formula is expressed as;

M = ( (x₁+x₂)/2, (y₁+y₂)/2 )

Given the data in the question;

Endpoint 1(5, 5)

Endpoint 2(10,8)

Plug the given points into the above formula and simplify.

M = ( (x₁+x₂)/2, (y₁+y₂)/2 )

M = ( ( 5 + 10 )/2, ( 5 + 8 )/2 )

M = ( 15 )/2, ( 13 )/2 )

M = ( 15/2, 13/2 )

Therefore, the midpoint of the segment is ( 15/2, 13/2 ).

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Answer:

x = 192

Step-by-step explanation:

16 = x/12

Multiply each side by 12

16*12 = x/12 *12

192 = x

Answer:

\(\boxed{ \sf \; x = 192}\)

Step-by-step explanation:

Given equation:

\( \tt \: 16 = \cfrac{x}{12} \)

We need to find the value of x.

Solution:

\(\tt \implies16 = \cfrac{x}{12} \)

Multiply both sides by 12:

\(\tt \implies16 \times \sf12 = \tt \cfrac{x}{12} \sf \times 12\)

Multiply the LHS:

\(\tt \implies192 = \cfrac{x}{12} \times \sf12\)

Now, Cancel the RHS:

\(\tt \implies192 = \cfrac{x}{ \cancel{12}} \times \cancel{12}\)

\(\tt \implies192 = \cfrac{x}{1} \times 1\)

\(\tt \implies192 = x\)

Flip the equation:

\( \implies \tt \: x = 192\)

We're done!

Hence, the value of x would be 192.

\(\rule{225pt}{2pt}\)

I hope this helps!

Let me know if you have any questions.

The expression that represents the magazine sale of  Graham's is 2a - 6.

Profit & Loss:

A profit and loss (P&L) statement refers to a financial statement that summarizes the revenues, costs, and expenses incurred during a specified period, usually a quarter or fiscal year. These records provide information about a company’s ability or inability to generate profit by increasing revenue, reducing costs, or both. P&L statements are often presented on a cash or accrual basis. Company managers and investors use P&L statements to analyze the financial health of a company.

The sentence "Graham sold 6 magazines less than double what Adrianne sold" can be represented by the expression 2a - 6, where a is the number of magazines Adrianne sold.

So, the expression that represents Graham's sales is 2a - 6.

Graham's magazine sales are represented by the expression 2a - 6.

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The required probability is (E∪F) = 0.361.

The total number of possible results when a pair of fair six-sided dice are tossed as:

= 6 × 6 = 36

Here sample space is:

SS = {(1,1),(1,2), (1,3).....(6,4),(6,5),(6,6)}, there are 36 pairs.

Now, E is the event in which at least one of the recorded numbers is and is the occurrence in which the total of the recorded numbers is 5.

Here, E = {(1,1), (1,2), (1,3)....(5,1), (6,1)}, there are 9 pairs.

And, F = {(1,4), (2,3), (3,2), (4,1)}

Now, (E∪F) = {(1,1), (1,2), (1,3)...(2,3), (3,2)},  there are 13 pairs.

So, n(E∪F) = 13

The required probability is:

P(E∪F) = n(E∪F)/SS

= 13/36

= 0.361

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It is 35.15. Hope it helps

Answer: 18.84

Step-by-step explanation:

The probability of selecting all three purple balls is 0.1429 or approximately 14.29%.

To find the probability that all three balls are purple, we need to use the formula for the probability of the intersection of three events:

P(A and B and C) = P(A) x P(B|A) x P(C|A and B)

where A, B, and C are the events of drawing a purple ball from the bag on the first, second, and third draws, respectively.

The probability of drawing a purple ball on the first draw is:

P(A) = number of purple balls / total number of balls = 9 / 15

After drawing a purple ball on the first draw, there are now 8 purple balls left in the bag out of a total of 14 balls, so the probability of drawing a purple ball on the second draw, given that a purple ball was drawn on the first draw, is:

P(B|A) = number of purple balls left / total number of balls left = 8 / 14

After drawing two purple balls, there are now 7 purple balls left in the bag out of a total of 13 balls, so the probability of drawing a purple ball on the third draw, given that two purple balls were drawn on the first two draws, is:

P(C|A and B) = number of purple balls left / total number of balls left = 7 / 13

Therefore, the probability of drawing three purple balls in a row is:

P(A and B and C) = P(A) x P(B|A) x P(C|A and B) = (9 / 15) x (8 / 14) x (7 / 13) = 0.1429 or approximately 14.29%

So, the probability of selecting all three purple balls is 0.1429 or approximately 14.29%.

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Answer:

Quedan libres 49.9 metros cuadrados en el comedor.

Step-by-step explanation:

Un decámetro cuadrado (\(dam^{2}\), antiguamente \(Dm^{2}\)) equivale a 100 metros cuadrados, un metro cuadrado (\(m^{2}\)) equivale a 10000 centímetros cuadrados (\(cm^{2}\)) y 100 decímetros cuadrados (\(dm^{2}\)). El área libre del comedor se obtiene al sustraer las áreas cubiertas de los muebles del área total del comedor:

\(x = 0.6\,dam^{2}\times \frac{100\,m^{2}}{1\,dam^{2}}- 2\times 2.5\,m^{2} - 6\times 2500\,cm^{2}\times \frac{1\,m^{2}}{10000\,cm^{2}} - 360\,dm^{2}\times \frac{1\,m^{2}}{100\,dm^{2}}\)

\(x = 49.9\,m^{2}\)

Quedan libres 49.9 metros cuadrados en el comedor.

Function which is used to determine the amount of money J$3,000 deposited by Usain Bolt in Kingston Federal Bank with growth rate 5% for 2 years is given by f(x) = 3000(1.05)².

Amount of money deposited by Usain Bolt 'P' = J$3,000

Growth rate 'r' = 5%

Time period 't' = 2 years

Function 'f (x)' used to determine the amount of money after 2 years :

f (x) = P ( 1  + r% )^t

Substitute the value we get,

⇒ f(x) = 3,000 ( 1 + 5/100 )²

⇒ f(x) = 3,000 ( 1 + 0.05 )²

⇒ f(x) = 3,000 ( 1.05 )²

Therefore, the required function used to represents the growth rate of 5% for 2 years of deposited amount of money is equal to

f(x) = 3000(1.05)².

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Answer:

28.3 (explaination below)! :)

Step-by-step explanation:

Use the formula for cicrumfrence: C=2πr

Radius can be found by splitting the given number in half, (unless you were given the radius already, then you'd just multiply by 2).

Plug in our numbers. C= 2π4.5

Then, multiply.

You'd get 28.27433388230814.

Rounding to the first decimal place, you'd have a final answer of  28.3.

Hope this helps!

Step-by-step explanation:

t/3 + -14 = -18

first we clear up the +/- situation.

we know when + and - are combined, the result is -.

t/3 - 14 = -18

now we eliminate the free -14 constant on the left side by adding 14 to both sides (remember, we need to do changes always on both sides to keep the "=" relation: it is like with a balance).

t/3 = - 18 + 14 = -4

and now we eliminate the factor 1/3, so that t remains standing alone, by multiplying both sides by 3 :

t = -4×3 = -12

that's it. we have our answer

Answer:

wait.

Step-by-step explanation:

what do u really mean by zombies

The weight of pumpkin that is needed to make 1000 pumpkin pies is 1300 Kg .

In the question ,

it is given that  ,

the weight of the pumpkin required to make 1 pumpkin pie = 1.3 Kg

we have to find the weight of the pumpkin that is needed to make 1000 pumpkin pie .

weight of pumpkin in 1000 pumpkin pie = 1000*(weight of 1 pumpkin pie)

Substituting the weight of 1 pumpkin ,

we get ,

weight of pumpkin in 1000 pumpkin pie = 1000 * 1.3

= 1300 Kg .

Therefore , The weight of pumpkin that is needed to make 1000 pumpkin pies is 1300 Kg .

The given question is incomplete , the complete question is

One pumpkin pie require 1.3 Kg of pumpkin , Find the Weight of the pumpkin that you need to use to make 1000 pumpkin pies ?

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The function h(x) = 4x + 1 does not have a point where the slope equals 3.

The function h(x) is defined as h(x) = 4x + 1. To find where the slope of the function is equal to 3, we need to find the x-value(s) that satisfy this condition.

The slope of a function represents how steep the function is at a given point. In this case, the slope of h(x) is equal to the coefficient of x, which is 4. To find where the slope equals 3, we need to find the x-value(s) that make the coefficient of x equal to 3.

Setting the coefficient of x equal to 3, we have:

4 = 3

To solve for x, we subtract 1 from both sides:

4 - 1 = 3 - 1
3 = 2

This equation is not true, which means there is no x-value that makes the slope of h(x) equal to 3. Therefore, the answer is none of the given options (OX = 1, X = 2, x =3, X = 4).

In summary, the function h(x) = 4x + 1 does not have a point where the slope equals 3.

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Answer:

12800 meters.

Hope that helps!!!

You travel 9600 meters after completing 8 laps on a 1 2/10 kilometers long go-kart track.

In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.

The length of the go-kart track is 1 2/10 kilometers, which can be converted to meters as follows:

1 kilometer = 1000 meters

2/10 kilometer = 2/10 x 1000 = 200 meters

So, the length of the go-kart track in meters is:

1 2/10 kilometers = 1 x 1000 + 2/10 x 1000 = 1200 meters

To find the total distance you travel after completing 8 laps, you need to multiply the length of the track by the number of laps:

Total distance = 8 x 1200 meters = 9600 meters

Therefore, you travel 9600 meters after completing 8 laps on a 1 2/10 kilometers long go-kart track.

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Answer:

General Patton

Step-by-step explanation:

He kicked Rommel into next year. Simple as that.

General Patton was not the person who beat Rommel.

Rommel was beaten by the BRITISH 8th army at the battle of El Alamein, by Field General Bernard Montgomery - Patton is an AMERICAN general.

"Monty", as Montgomery was known, was the general who played the major part in destroying Rommel in North Africa, and pushing through Sicily and Italy