How many liters are in 9 quarts

Answer:

The sum of X divided by 4 and 8 is -16.

Step-by-step explanation:

The main numbers we are adding are X/4 and 8, so those can be referred to as "the sum of". X/4 is simply "X divided by 4".

This all equals -16, so we have:

The sum of X divided by 4 and 8 is -16.

Answer:

everything that adds up to 18

Step-by-step explanation:

Answer:

I believe the answer is $18. He will spend at most $30 and he has already spent $12. The possible additional amounts he can spend is $18 since:

30 - 12 = 18

Step-by-step explanation:

(Maybe I got confused with the question, so im not confident that its correct.

I hope it helps!)

Answer: A

Step-by-step explanation:

Answer:

Step-by-step explanation:

1/20 of 700:  1/20•700 = 35

700 + n•35 = 1050

n•35 = 350

n = 10

Answer:

yes, because if you input 5 for x it would be -8

and if u input -9 for y it is right as -8 is closer to 0 than -9

The tip should be $1.88, making the total $14.38.

Answer:

No; the absolute value of a negative number is equal to its opposite

Step-by-step explanation:

Answers:

======================================================

Explanation:

Let's label the two brands of chocolate as A and B

Furthermore, define these variables

The amounts are in grams.

The two amounts must add to 900 grams, so x+y = 900. This can be solved to y = 900-x which we'll use later.

Since we have x grams of brand A, and brand A has 99% cocoa, this means 0.99x represents the amount of pure cocoa from brand A.

Similarly, brand B contributes another 0.70y grams of pure cocoa

Overall, we're dealing with 0.99x+0.70y grams of pure cocoa from the two brands mixed together.

---------------

Rolf needs 900 grams of final product. He wants it to be 80% cocoa, which means 80% of the 900 is going to be pure cocoa

80% of 900 = 0.80*900 = 720

Rolf wants 720 grams of pure cocoa after mixing the two brands together.

So this leads to the second equation: 0.99x+0.70y = 720

---------------

Let's apply substitution to replace y with 900-x

0.99x+0.70y = 720

0.99x+0.70( y ) = 720

0.99x + 0.70( 900-x ) = 720

At this point, we have a single variable in which we can isolate x fully.

0.99x + 0.70( 900-x ) = 720

0.99x + 0.70( 900) + 0.70(-x) = 720

0.99x + 630 - 0.70x = 720

0.29x = 720-630

0.29x = 90

x = 90/(0.29)

x = 310.344827586 which is approximate

Rounding to the nearest full gram, we get x = 310

Use this x value to find y

y = 900-x

y = 900-310.344827586

y = 589.655172414 which is also approximate

y = 590 when rounding to the nearest whole number

---------------

In summary, we have

Meaning that Rolf will need 310 grams of brand A to mix with 590 grams of brand B.

If we plugged those values into x+y = 900, then that equation works out.

If we tried the second equation, then,

0.99x+0.70y = 720

0.99*310+0.70*590 = 720

719.9 = 720

The slight discrepancy is due to the fact we rounded those approximate x and y values to the nearest whole number. We would get better accuracy if we rounded to say the nearest tenth or hundredth.

Please see the explanation of this question to see procedure for the dilation of the triangle ABC and the image attached below to know the result.

In this question we must apply a kind of rigid transformation known as dilation. A dilation of a point around a point of reference is defined by the following operation:

P'(x, y) = O(x, y) + k · [P(x, y) - O(x, y)]     (1)

Where:

Let assume that the point P is the origin of a rectangular system of coordinates. Then, the coordinates of the three vertices of the triangle ABC respect to the origin are: A(x, y) = (- 1, 2), B(x, y) = (- 1, - 1), C(x, y) = (2, 0).

Then, the vertices of the resulting triangle A'B'C' are, respectively:

A'(x, y) = (0, 0) + 3 · [(- 1, 2) - (0, 0)]

A'(x, y) = (- 3, 6)

B'(x, y) = (0, 0) + 3 · [(- 1, - 1) - (0, 0)]

B'(x, y) = (- 3, - 3)

C'(x, y) = (0, 0) + 3 · [(2, 0) - (0, 0)]

C'(x, y) = (6, 0)

Finally, we draw the resulting triangle with the help of a graphing tool.

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it requires a detailed analysis of multiple transactions and the preparation of journal entries. This type of task is better suited for an accounting professional who can thoroughly review the provided information and accurately apply the relevant accounting principles.

However, I can provide a general overview of the journal entries that may be required based on the information given:

January 1, 2020:

Debit: Investment in Kinman Company (40% of cash paid)

Credit: Cash (Amount paid for the acquisition)

Recording Equity in Earnings for 2020:

Debit: Investment in Kinman Company (40% of net loss)

Debit: Investment in Kinman Company (40% of other comprehensive loss)

Credit: Equity in Earnings of Kinman Company

December 31, 2020:

Debit: Investment in Kinman Company (40% of dividend received)

Credit: Dividend Income

January 1, 2021:

Debit: Investment in Kinman Company (40% of additional investment)

Credit: Cash

Recording Equity in Earnings for 2021:

Debit: Investment in Kinman Company (40% of net income)

Credit: Equity in Earnings of Kinman Company

December 31, 2021:

Debit: Investment in Kinman Company (40% of dividend received)

Credit: Dividend Income

Please note that the above entries are a general guideline and may not capture all the necessary transactions. It is advisable to consult with an accounting professional or refer to the specific accounting standards applicable in your jurisdiction for a more accurate and comprehensive answer.

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Answer:

Step-by-step explanation:

48 :D

4x6=24

24/.5=48

The equation that represents the total surface area, in square inches, of the terrarium is D. 1/2 (6)(4)+ (5X10)+2(6X10)=122

Suppose we got a triangle. Now, strech 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 triangular prism, we talk about the triangular prism, whose stack goes straight up, thus, we talk about a right triangular prism.

Given that the parameters are;

Height = 4 in

Base = 6 in

Length = 10 in

Raj buys a terrarium that is in the shape of a triangular prism. he knows that every triangular prism is made up of two triangular sides and three rectangular sides.

Area of the triangular prism;

1/2 (6)(4)+ (5X10)+2(6X10)=122

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Answer:

The measure of a using the law of sines is 36 approximately.

8.  x=(a+b)/c.

The given equation is,

(b-cx)/a+(a-cx)/b+2=0

⇒b/a-cx/a+a/b-cx/b+2=0

Taking the variables to LHS and constants to RHS,

-cx/a-cx/b=-b/a-a/b-2

or, cx/a+cx/b=b/a+a/b+2

or, cx(1/a+1/b)=b/a+a/b+2

Multiplying both sides of the above equation by ab,

or, cx(a+b)/ab=(a²+b²+2ab)/ab

⇒cx(a+b)=(a²+b²+2ab)

or, cx(a+b)=(a+b)²

∴ x=(a+b)²/c(a+b)=(a+b)/c

Hence x=(a+b)/c.

9.  x= -ab(c-a+b)

The given equation is,

a/(x+a)+b/(x-b)=(a+b)/(x+c)

Multiplying the LHS and RHS of the equation by (x+a)(x-b)(x+c),

a(x-b)(x+c)+b(x+a)(x+c)=(a+b)(x+a)(x-b)

⇒a(x²-bx+cx-bc)+b(x²+ax+cx+ac)=(a+b)(x²+ax-bx-ab)

The above equation has terms with variables x²,x and constant terms.

Keeping the like terms together,

x²(a+b-a-b)+x(-ab+ac+ab+bc-a²+b²)= abc-abc-a²b-ab²

⇒ x²(0)+x(ac+bc-a²+b²)= -a²b-ab²

⇒ x = (-a²b-ab²)/(ac+bc-a²+b²)

       = -ab(a+b)/[c(a+b)-(a+b)(a-b)]

       = -ab(a+b)/(a+b)(c-a+b)

       = -ab/(c-a+b)

Hence, x= -ab/(c-a+b)

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The solutions for questions 8 and 9 are:

8. b = (ac - 2ab)/(2-a)

9. x = [-b ± sqrt((a+b)^2 + 4b(a+c))]/(2b)

To solve the equation:

(b-cx)/a+(a-cx)/b+2=0

Simplify the equation by finding a common denominator.

Multiply the first term by b/b and the second term by a/a, then add them together:

(b^2 - bcx + a^2 - acx)/(ab) + 2 = 0

collect like terms:

(b^2 + a^2)/(ab) - cx(a+b)/(ab) + 2 = 0

Multiply both sides by ab to eliminate the denominator:

b^2 + a^2 - cx(a+b) + 2ab = 0

Simplify:

cx = (a^2 + b^2 + 2ab)/(a+b)

cx = (a+b)^2/(a+b)

cx = a+b

Substitute cx with a+b:

(b-c(a+b))/a + (a-c(a+b))/b + 2 = 0

Simplify:

(2b - ac - bc)/(ab) = -2

Multiply both sides by ab:

2b - ac - bc = -2ab

Solve for b:

b = (ac - 2ab)/(2-a)

9. To solve the equation:

a/(x+a) + b/(x-b) = (a+b)/(x+c)

We can start by finding a common denominator on the left side:

(a(x-b) + b(x+a))/((x+a)(x-b)) = (a+b)/(x+c)

Simplify:

(ax - ab + bx + ab)/((x+a)(x-b)) = (a+b)/(x+c)

collect like terms:

(ax + bx)/((x+a)(x-b)) = (a+b)/(x+c)

Factor out x:

x(a+b)/((x+a)(x-b)) = (a+b)/(x+c)

Cross-multiply:

(a+b)(x+c) = x(a+b)(x-b)

Expand and simplify:

ax + bx + ac + bc = ax^2 - bx^2

Rearrange and simplify:

bx^2 + (a+b)x - (a+c)b = 0

Use the quadratic formula to solve for x:

x = [-b ± sqrt((a+b)^2 + 4b(a+c))]/(2b)

Note that this equation has a restriction on x, namely that x cannot be equal to a or b, since that would make some of the denominators zero.

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Answer:

a) (19 + 20(2) + 21(2) + 22(5) + 23)/11 =

(19 + 40 + 42 + 110 + 23)/11 = 21.3 years

b) (19 + 40 + 42 + 110 + 23 + a)/12 = 22

(234 + a)/12 = 22

234 + a = 264, so a = 30

The new player is 30 years old.

The statement "The harmonic series: 1+1/2+1/3+1/4+... diverges, but when its terms are squared the resulting series converges." is True.

The harmonic series is defined as the sum of the reciprocals of the natural numbers: Σ(1/n) for n = 1 to ∞. This series is known to diverge, meaning that its sum tends to infinity as more terms are added.

However, when the terms of the harmonic series are squared, we get a new series called the p-series, with p=2: Σ(1/n^2) for n = 1 to ∞. The p-series converges if p > 1, which is true for p=2. Thus, the series Σ(1/n^2) converges to a finite sum.

In conclusion, the given statement is true, as the harmonic series diverges, but its squared terms result in a convergent series.

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Answer:

x ≥ 110 - 65

x ≥ 45

Step-by-step explanation:

The equation for a cosecant function with vertical asymptotes found at x = nπ such that n is an integer is `y = csc(x - nπ)`.

The cosecant function is the reciprocal of the sine function. The cosecant of a particular angle in a right triangle is the ratio of the hypotenuse to the side opposite the angle.

The cosecant function is written as follows: `csc(x) = 1/sin(x)`

Asymptotes are straight lines or curves that a graph approaches but never touches.

As a result, the graph of a curve gets closer and closer to the asymptote as it moves further away from the origin, but it never touches it.

For a function to have vertical asymptotes at `x = nπ`, the denominator of the function should equal zero. In the cosecant function, the denominator is equal to `sin(x - nπ)`.

Therefore, the vertical asymptotes are where `sin(x - nπ) = 0`.

The general form of the cosecant function is `y = A csc(B(x - C)) + D`.

The constants A, B, C, and D are used to alter the form of the graph of the cosecant function.

They can be used to alter the amplitude, period, phase shift, and vertical displacement of the graph, respectively.

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Levi must score 220 in Exam B in order to do equivalently well as he did in Exam A

The given parameters are:

Exam A

Score = 710

Mean = 700

Standard deviation = 25

Exam B

Mean = 200

Standard deviation = 50

The z-score is calculated as

z = (Score - Mean)/Standard deviation

For exam A, we have

z = (710 - 700)/25

z = 0.4

For exam B, we have

z = (Score - 200)/50

Substitute z = 0.4 in z = (Score - 200)/50

0.4 = (Score - 200)/50

This gives

Score - 200 = 20

Add 200 to both sides

Score = 220

Hence, Levi must score 220 in Exam B in order to do equivalently well as he did in Exam A

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Respuesta:  Racional

Explicación:

El número es racional ya que podemos representarlo como una fracción de enteros.

Más específicamente, -97.54 = -9754/100

-----------------------------------------------------------------------------

Translation to English:

Answer: Rational

Explanation:

The number is rational since we can represent it as a fraction of integers.

More specifically,  -97.54 = -9754/100

Answer:

Step-by-step explanation:

Step-by-step explanation:

here's the answer to your question

The point on the line y = 5x + 2 that is closest to the origin is approximately (0.3448, 1.7931), which is (x, y) when x = 10/29 and y = 52/29.

The equation of the line is y = 5x + 2, and the point on the line closest to the origin is (x, y).

To find the distance from the origin to the point (x, y), use the distance formula:

d = √(x² + y²)

To minimize the distance, we can minimize the square of the distance:

d² = x² + y²

Now, we need to use calculus to find the minimum value of d² subject to the constraint that the point (x, y) lies on the line y = 5x + 2.

This is a constrained optimization problem. Using Lagrange multipliers, we can set up the following system of equations:

2x = λ

5x + 2 = λ5

Solving this system, we get:

x = 10/29, y = 52/29

So, the point on the line y = 5x + 2 that is closest to the origin is approximately (0.3448, 1.7931), which is (x, y) when x = 10/29 and y = 52/29.

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Answer:

The shortest altitude is 6.72 cm

Step-by-step explanation:

Given that the side lengths are

24 cm, 25 cm, 7 cm

The area of a triangle =

\(A = \sqrt{s \cdot (s-a)\cdot (s-b)\cdot (s-c)}\)

Where;

s = Half the perimeter = (24 + 25 +  7)/2 = 28

A = √((28×(28 - 24)×(28 - 25)×(28 - 7)) = 84 cm²

We note that 84/7 = 12

Therefore, the triangle is a right triangle with hypotenuse = 25, and legs, 24 and 7, the height of the triangle = 7

To find the shortest altitude, we utilize the formula for the area of the triangle A = 1/2 base × Altitude

Altitude  = A/(1/2 ×base)

Therefore, the altitude is inversely proportional to the base, and to reduce the altitude, we increase the base as follows;

We set the base to 25 cm to get;

Area of the triangle A =  1/2 × base × Altitude

84 = 1/2 × 25 × Altitude

Altitude = 84/(1/2 × 25) = 6.72 cm

The shortest altitude = 6.72 cm.

The van contains 12 students and the bus contain 33 students.

The given information is:

The senior class at the high school rented and filled 14 vans and 11 buses with 531 students.

For this, we have to convert it into an equation:

14v+11b=531---------(1)

A High school b rented and filled 7 vans and 7 buses with 315 students.

For this, we have to convert it into an equation:

7v+7b=315----------(2)

To, find the number of students in the van and bus we have to solve two equations :

14v+11b=531

7v+7b=315*2

---------------------

14v+11b=531

14v+14b=630

----------------

        -3b=-99

           b=33

The total number of students on the bus is 33 members.

Now substitute the b value in any equation, and substitute in equation(2) we get the v value:

7v+7(33)=315

7v+231=315

7v=84

v=12

The total number of students in the van is 12 members.

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Answer: B

Step-by-step explanation: The question says estimate, meaning you'll have to round the numbers. 194 gets rounded up to 200, while 11 gets rounded down to 10.

200 / 10 = 20, thus the answer is B

Answer:

Your answer should be B or D.

Step-by-step explanation:

You have to find x. If the first side is 60 degrees and the other is 70 degrees, that means that the last side should be similar to that. yo can use a protractor if you have one, or you can estimate. now for the equation part. once you have the degree for the angle, you need to use the numbers to multiply to get the number. Multiply 8 by all of the numbers. Since the angle is acute, the answer has to be less than 90.

Answer:

x=-24

Step-by-step explanation:

2/3 x +3 =1/4x-7

8/12x+3= 3/12x-7

5/12x + 3 = -7

5/12x = -10

5/12x (12/5) = -10(12/5)

x=-120/5

x=24

The demand function for good X is Qx = m - 3Px + 2Py, where Qx is the quantity demanded of X, m is income, Px is the price of X, and Py is the price of a related good Y. The equation shows that the demand for X is inversely related to its price and directly related to the price of Y. Income, price of X, and price of Y collectively affect the overall demand for X.


The demand function for good X is given by Qx = m - 3Px + 2Py, where Qx represents the quantity demanded of good X, m is the income, Px is the price of good X, and Py is the price of a related good Y. In this equation, the income and prices are assumed to be positive.

To determine the demand for good X, we can analyze the equation. The coefficient -3 in front of Px indicates that the demand for good X is inversely related to its price. As the price of X increases, the quantity demanded of X decreases, assuming other factors remain constant. On the other hand, the coefficient 2 in front of Py indicates that the demand for good X is directly related to the price of the related good Y. If the price of Y increases, the quantity demanded of X also increases, assuming other factors remain constant.

Furthermore, the term (m - 3Px + 2Py) represents the overall effect of income, price of X, and price of Y on the quantity demanded of X. If income (m) increases, the quantity demanded of X increases. If the price of X (Px) increases, the quantity demanded of X decreases. If the price of Y (Py) increases, the quantity demanded of X increases.

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