ms. valencia buys 8 tickets for the school movie night. one fourth of the tickets are adult tickets. adult tickets cost $6 each. which equation could be used to find t, the cost of the adult tickets ms. valencia buys?

The option B) yields the highest value for Z, which is 56.5. Therefore, the correct answer is B) x1 = 5, x2 = 5.25, Z = 56.5

To determine the correct answer, we can substitute each option into the objective function and check if the constraints are satisfied. Let's evaluate each option:

A) x1 = 5, x2 = 4.63, Z = 52.78

Checking the constraints:

17x1 + 8x2 = 17(5) + 8(4.63) = 85 + 37.04 = 122.04 ≤ 136 (constraint satisfied)

3x1 + 4x2 = 3(5) + 4(4.63) = 15 + 18.52 = 33.52 ≤ 36 (constraint satisfied)

B) x1 = 5, x2 = 5.25, Z = 56.5

Checking the constraints:

17x1 + 8x2 = 17(5) + 8(5.25) = 85 + 42 = 127 ≤ 136 (constraint satisfied)

3x1 + 4x2 = 3(5) + 4(5.25) = 15 + 21 = 36 ≤ 36 (constraint satisfied)

C) x1 = 5, x2 = 5, Z = 55

Checking the constraints:

17x1 + 8x2 = 17(5) + 8(5) = 85 + 40 = 125 ≤ 136 (constraint satisfied)

3x1 + 4x2 = 3(5) + 4(5) = 15 + 20 = 35 ≤ 36 (constraint satisfied)

D) x1 = 4, x2 = 6, Z = 56

Checking the constraints:

17x1 + 8x2 = 17(4) + 8(6) = 68 + 48 = 116 ≤ 136 (constraint satisfied)

3x1 + 4x2 = 3(4) + 4(6) = 12 + 24 = 36 ≤ 36 (constraint satisfied)

From the calculations above, we see that options B), C), and D) satisfy all the constraints. However, option B) yields the highest value for Z, which is 56.5. Therefore, the correct answer is: B) x1 = 5, x2 = 5.25, Z = 56.5.

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Answer:

third angle = 115°

Step-by-step explanation:

angles in a triangle add up to 180°

since you already know the total angles for two of the angles all you need to do is subtract the number from 180 to find the third angle

180-65=115

Answer:B=21

Step-by-step explanation:

it is because combined J an N are 105 across from that is the same so x is 21 because 5(x) = 21 u do 105 divided by 5 to get the answer

Answer:

Step-by-step explanation:

To find the exact value of x, we need to solve the given equation for x. The equation is:

32^1/25 x 2^x = 8^1/4

To solve this equation, we need to rewrite it in a form that allows us to isolate the variable x. We can start by using the properties of exponents to simplify the left-hand side of the equation. We can use the property that says that raising a number to a fractional power is the same as taking the square root of that number, raised to the power of the denominator of the fraction. So, we can write:

(32^1/25)^2 = (32^1/25)^25/25 = 32^1/25

This simplification allows us to rewrite the left-hand side of the equation as follows:

32^1/25 * 2^x = (32^1/25)^2 * 2^x

Next, we can use the property of exponents that says that the product of two numbers raised to the same power is equal to the product of the numbers, raised to that power. So, we can rewrite the left-hand side of the equation as follows:

(32 * 2)^1/25 * 2^x = (32^1/25)^2 * 2^x

Then, we can use the property of exponents that says that raising a product to a power is the same as raising each factor to that power. So, we can rewrite the left-hand side of the equation as follows:

(32^1/25) * 2^(1/25 + x) = (32^1/25)^2 * 2^x

Finally, we can use the property of exponents that says that the exponent of a power is equal to the product of the exponents of the base and the power. So, we can rewrite the left-hand side of the equation as follows:

(32^1/25) * 2^(1/25 * 25 + 1 * x) = (32^1/25)^2 * 2^x

Since the right-hand side of the equation is already in a form that allows us to isolate the variable x, we can now use the property of exponents that says that raising a number to a power and then taking the square root of that number is the same as

it will be C

Answer:

C = 20b + 150

Step-by-step explanation:

because it's 150 for a ticket for each 20 bags. depending on how many bags there are, it wi give you the answer of the cost.

Therefore, you have 25 dogs at the shelter.

Answer:

25

Step-by-step explanation:

We can take our ratio of 3:5 and multiply it by 5 to give us the number of cats we have. We get 15:25. Meaning we have 25 dogs.

The area covered by Red flowers are is x/3 square yards.

Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape.

The area of a plane figure is the area that its perimeter encloses.

The quantity of unit squares that cover a closed figure's surface is its area.

We have, 1/3 of triangle ABD will have red flowers.

let x be the total area of Triangle.

Here, 1/3(x) is occupied by Red flowers.

Thus, the area covered by Red flowers are:

= x/3 square yards.

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Question

the triangular area between points A, B, and D will be decorated with red, white and blue flowers. 1/3 of triangle ABD will have red flowers. How much area, in square yards, will have red flowers?

Answer:

\(x=\frac{ab}{a+b}\)

Step-by-step explanation:

Combine the two fractions on the right by using the common denominator ab.

\(\frac{1}{x}=\frac{b}{ab}+\frac{a}{ab}\\=\frac{b+a}{ab}\)

If two quantities are equal, then their reciprocals are equal.

\(x=\frac{ab}{b+a}\)

Answer:

x = \(\frac{ab}{b+a}\)

Step-by-step explanation:

Given

\(\frac{1}{x}\) = \(\frac{1}{a}\) + \(\frac{1}{b}\)

Multiply through by abx ( the LCM of denominators ) to clear the fractions

ab = bx + ax ← factor out x from each term on the left side

ab = x(b + a) ← divide both sides by (b + a)

\(\frac{ab}{b+a}\) = x

Answer:

X=-10

Step-by-step explanation:

Collinear points are points on the same line.

Use the equation of gradient to find the gradient. Then use the gradient to find X

\(\frac{Y2-Y1}{X2-X1}=Gradient of a slope\)

\(\frac{2-(-4)}{3-0}=\frac{2+4}{3}=\frac{6}{3}=2\)

\(\frac{x+4}{-3-0}=2\)

Multiply both sides of the equation to get rid of the fraction.

\(\frac{x+4}{-3}*-3 =2*-3\)

x+4=-6

x=-6-4

x=-10

Answer:

The answer is $18n/3= p

The equation is: G = -⁵/₄t + 15

The slope of the function represents that ⁵/₄ gallons of gas is consumed to drive the car for one hour.

The formula for the equation of a line in slope intercept form is:

y = mx + c

where:

m is slope

c is y-intercept

From the graph, we see that:

y-intercept = 15 gallons

Now, the slope is gotten from the formula:

Slope = (y₂ - y₁)/(x₂ - x₁)

Slope = (10 - 5)/(4 - 8)

Slope = -⁵/₄

Thus, equation is:

G = -⁵/₄t + 15

The slope of the function represents that ⁵/₄ gallons of gas is consumed to drive the car for one hour.

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Answer:

3 1/5

Step-by-step explanation:

8×2/5 is 16/5= 3 1/5

because u multiple the top number

the absolute extrema of the linear equation f(x) =  12x^2 -11x +2 are 27 (absolute maximum) for x = - 8 and - 9 (absolute minimum) for x = 4. (- 8, 27) and (4, - 9).

What are the absolute extrema of a linear equation within a closed interval?

According to the functions theory, linear equations have no absolute extrema for all real numbers, but things are different for any closed interval as absolute extrema are the ends of linear function. Now we proceed to evaluate the function at each point:

Absolute maximum

f(- 8) =   12x^2 -11x +2

f(- 8) = 27

Absolute minimum

f(4) = - 3 · 4 + 3

f(4) = - 9

By means of functions theory and the characteristics of linear equations, the absolute extrema of the linear equation f(x) = 12x^2 -11x+2  are 27 (absolute maximum) for x = - 8 and - 9 (absolute minimum) for x = 4. (- 8, 27) and (4, - 9).

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The equation ( ∂P/∂E )T = -P( ∂P/∂V )T - T( ∂T/∂V )P represents a relationship involving partial derivatives of pressure (P), energy (E), and volume (V) with respect to temperature (T).

In the given equation, the left-hand side represents the partial derivative of pressure with respect to energy at constant temperature ( ∂P/∂E )T . On the right-hand side, the equation involves two terms. The first term, -P( ∂P/∂V )T , represents the negative product of pressure (P) and the partial derivative of pressure with respect to volume at constant temperature ( ∂P/∂V )T . The second term, -T( ∂T/∂V )P , represents the negative product of temperature (T) and the partial derivative of temperature with respect to volume at constant pressure ( ∂T/∂V )P .

This equation suggests a relationship between the changes in pressure, energy, and volume, with temperature held constant. It states that the rate of change of pressure with respect to energy is determined by the combined effects of the partial derivatives of pressure with respect to volume and temperature. By understanding this equation and its implications, one can analyze and interpret the behavior of the variables involved in the thermodynamic system.

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Answer:

y = 50 is answers and it is alternate angle

Answer:

B

Step-by-step explanation:

The two angles are the same

Answer:

y=2(-2)+3

y=-1

y=2(-1)+3

y=1

y=2(0)+3

y=3

y=5

y=7

Answer:

(From left to right)

1st y (output):   -1

2nd y (output):   1

3rd y (output):   3

4th y (output):   5

5th y (output):   7

Step-by-step explanation:

Substitute each x (input) into the given equation and solve. For example, to get the first y (output), substitute "-2" into the "x" in the equation, giving you "y = 2(-2) +3", then solve it.

Multiply 2(-2) to get -4, then add 3 to get -1.

Answer:

x<-3

Step-by-step explanation:

-2(x+3)>9+3x - Distribute

-2x-6 > 9+3x - Subtract 3x to both sides

-5x-6 > 9 - Add 6 to both side

-5x > 15 - Divide -5 to both sides

Integer switches: x < -3 - Answer

Source: MathPapa

The graph of N(t) = 75t + 120 is a straight line with a positive slope of 75. It intersects the y-axis at (0, 120) and has a y-intercept of -8/5. As t approaches infinity, N(t) increases without bound, indicating a positive relationship between the number of days of training and the average number of components assembled per day.

To sketch the graph of N(t) = 75t + 120, we can plot points on the coordinate plane by substituting different values of t into the equation.

For example, when t = 0, N(0) = 75(0) + 120 = 120. So, we have the point (0, 120).

When t = 1, N(1) = 75(1) + 120 = 195. So, we have the point (1, 195).

We can continue to calculate more points using different values of t.

The intercept is when N(t) = 0:

0 = 75t + 120

-120 = 75t

t = -120/75

t = -8/5

So, we have the intercept (0, -8/5).

To find the asymptote, we need to check what happens to N(t) as t approaches infinity. As t becomes larger and larger, the constant term 120 becomes less significant compared to the term 75t. Therefore, as t approaches infinity, N(t) approaches infinity as well.

In practical terms, this means that as the number of days of training (t) increases, the average number of components assembled (N) per day also increases. However, it is important to note that this is based on past records and the actual performance of new employees may vary. The equation provides an average trend and does not account for individual variations or other factors that may affect productivity.

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Answer:

I think 15% im sorry if this is wrong

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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The height of the box can be represented as a function of the width, h = 4/w², where the domain of the function is (0, +∞).

Let's assume the width of the rectangular box is represented by the variable 'w'. Given that the length of the box is twice the width, we can express the length as '2w'. The height of the box can be represented by the variable 'h'.

The volume of a rectangular box is given by the formula: V = lwh, where V represents the volume, l represents the length, w represents the width, and h represents the height.

We are given that the volume of the box is 8 ft³. Substituting the values into the formula, we have:

8 = (2w)(w)(h)

Simplifying, we get:

8 = 2w²h

Dividing both sides by 2w², we get:

4/w² = h

Therefore, the height of the box can be expressed as a function of the width, h = 4/w².

The domain of the height function is determined by the width. Since the width of a rectangular box cannot be zero or negative (as it represents a physical dimension), the domain of the height function is the set of positive real numbers, excluding zero. In interval notation, the domain can be expressed as (0, +∞).

In conclusion, the height of the box can be represented as a function of the width, h = 4/w², where the domain of the function is (0, +∞).

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Answer:

D

Step-by-step explanation:

First find the slope.

\(Slope=\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\dfrac{5-[-9]}{4-[-3]}=\dfrac{5+9}{4+3}\\\\\\=\dfrac{14}{7}=2\)

Point slope form:

y - y1 = m(x -x1)

y -[-9] = 2 (x - [-3])

y +9 = 2 (x + 3)

Answer:

m=-7/8

Step-by-step explanation:

Answer:

your answer is 560 am I correct.

8×70=560 /560 =8

70

7×80=560. / 560 =7

80

Answer:

El área de un cuadrado de lado L es:

A = L*L

Y sabemos que si el cuadrado menor tiene lado de largo L, entonces el cuadrado mayor tiene lado de largo 2*L - 1ft

Área menor = L*L = L^2

Área mayor = (2L - 1ft)*(2L - 1ft)

El área total es igual a la suma de ambas áreas:

121 ft^2 = L^2 + (2L - 1ft)*(2L - 1ft) = L^2 + 4*L^2 - 2ft*L + 1ft^2

Ahora podemos resolver esto para L.

121 ft^2 = 5*L^2 - 2ft*L + 1ft^2

0 = 5*L^2 - 2ft*L - 120 ft^2.

Usando la formula de Bhaskara, las soluciones son:

\(L = \frac{2ft +- \sqrt{(2ft)^2 - 4*5*(-120ft^2)} }{2*5} = \frac{2ft +- 49ft}{10}\)

Las dos soluciones son:

L = (2ft + 49ft)/10 = 51ft/10 = 5.1ft

L = (2ft - 49ft)/10 = -4.7 ft

Como estamos hablando de el largo de algo, la única opción que tiene sentido es la positiva.

Entonces el largo de los lados del cuadrado menor es L = 5.1 ft

El largo de los lados del cuadrado mayor es M = 2*5.1ft - 1ft = 9.2ft

Answer: 9 faces.

Step-by-step explanation: Euler's Formula states that the number of faces plus the number of vertices minus the number of edges is equal to 2. Using the given information, we can plug in the values to get:

F + 5 - 12 = 2

Simplifying the equation, we get:

F - 7 = 2

Adding 7 to both sides, we get:

F = 9

Therefore, the missing number is 9 faces.

The relation R on set A is reflexive, symmetric, antisymmetric, and equivalence, but not irreflexive or transitive.

The relation R = {(a, c), (a, a)} is a subset of the set A = {a, b, c}. To determine the properties of relation R, we analyze its characteristics.

Reflexive: R is reflexive because every element in A is related to itself. Both (a, a) pairs in R satisfy this property.

Irreflexive: R is not irreflexive since it contains elements related to themselves, which contradicts the definition of irreflexivity.

Symmetric: R is symmetric because for every pair (a, c) in R, the pair (c, a) is also present in R.

Asymmetric: R is not asymmetric since it contains symmetric pairs, violating the condition of asymmetry.

Anti-symmetric: R is antisymmetric because it doesn't contain any distinct pairs with reversed order.

Transitive: R is not transitive since (a, a) and (a, c) are in R, but (a, c) is not followed by (a, a).

Equivalence: R is an equivalence relation because it is reflexive, symmetric, and transitive.

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Answer:

B.  6

Step-by-step explanation:

The triangles are similar by AA Similarity.

The lengths of corresponding sides of the triangles are proportional.

AB/PQ = AC/PR

20/5 = 24/PR

4 = 24/PR

4PR = 24

PR = 6

Answer: PR = 6

Answer:

x = 5

Step-by-step explanation:

\(12x = 70 - 2x\)

\(14x = 70\)

\(x = 5\)

Answer:

Here :))

Step-by-step explanation: