Xochitl went into a movie theater and bought 6 bags of popcorn and 4 drinks, costing a total of $65. Alonso went into the same movie theater and bought 9 bags of popcorn and 8 drinks, costing a total of $107.50. Determine the price of each bag of popcorn and the price of each drink.

Answer:

Polly has 27 fish

Step-by-step explanation:

Polly's Fish= P

Gemma's Fish = G

so the equation to find either's amount of fish is G= [tex]\frac{2}{3}[/tex]P - 3

But since we know Gemmas amount of fish we can change G to be 15

15= 2/3 P- 3

then add 3 to both sides to get 2/3 P by itself

18= 2/3 P

and since P is being multiplied by 2/3 we have to divide both sides by 2/3 and if you want to divide by a fraction then you just multiply by the reciprocal ( flip the numerator and the denominator)

then you have

[tex]\frac{3}{2}[/tex] x [tex]\frac{18}{1}[/tex] = [tex]\frac{2}{3}[/tex] x [tex]\frac{3}{2}[/tex] P

which simplifies to

54/2 = 6/6 P

which further simplifies to

27 = 1P or 27=P

So P=27 which means polly has 27 fish

Using compound interest formula, the final payment for a principal of $12000 compounded continuously at rate of 5% is $13,097.31

Compound interest is the interest calculated on the initial principal and also on the accumulated interest of previous periods of a deposit or loan. It is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on interest. It is the result of reinvesting interest, rather than paying it out, so that interest in the next period is then earned on the principal sum plus previously accumulated interest.

The formula of compound interest is given as;

A = P(1 + r/n)^nt

Substituting the values into the formula

A = Pe^rt

This formula is only for continuously compounded

A = 12000e^(0.05 * 1.75)

A = $13,097.31

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Answer:

x = 128.57°

y = 51.43°

Step-by-step explanation:

x = (n - 2) × 180°/n = (7 - 2) × 180°/7 = 900/7° = 128.57°

x + y = 180

y = 180° - 128.57°

y = 51.43°

Answer:

Third option
x = 12, y = 20.78

Step-by-step explanation:

This is a 30-60-90 triangle,

In such a triangle the if we are given the length of the hypotenuse, then the perpendicular or the height, which is given as x would half the length of the hypotenuse and the base given by y would be x√3

Calculate x first

x = 24/2 = 12

Looking at the four choices, only fits this value. This is the 3rd choice. So that is the correct one

If you wanted to make sure, find y = x√3 = 12√3 = 20.7846

Answer

Third option
x = 12, y = 20.78

Answer:

Best Buy - $720 for the new iPad

Target - $743.75 for the new iPad

Conclusion:

Best Buy has the lowest price for the iPad.

According to the Angle Addition Postulate, the measure of m∠ABD = 202°.

According to the Angle Addition Postulate, an angle's measure is equal to the sum of the measures of any two adjacent angles. The Angle Addition Postulate can be used to determine the measurement of a missing angle or to determine the angle produced by two or more other angles.

Given:

The angle measures:

m∠ABC=37°,

and m∠⁡C⁣B⁣D= 165⁢°.

So, according to the angle addition postulate;

m∠ABD = m∠ABC + m∠CBD

Substituting the values,

m∠ABD = 37° + 165⁢°

m∠ABD = 202°

Therefore, the angle measure of m∠ABD = 202°.

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Answer:

Multiply price of each burrito by 100

Step-by-step explanation:

Step-by-step explanation:

AB is the height of tree

angle is 60 degree

bc is the bottom of tree

Answer:

16 57/60 mins

Step-by-step explanation:

9 1/4 = 555 secs

3 4/5 = 228 secs

30.mins = 1800 secs

time for C = 1800 - 555 - 228

= 1017 sec

16 57/60 mins

Answer:

what your question tell me I will give you answer and also write down your name and question

Answer: It depends on how important you think sweet sixteen is, and how much money you have.

Step-by-step explanation:

First, if there is a lot of guests (I consider 32 a lot, but I don't know what you think), you need a lot of birthday cake, a lot of food and drinks, and entertainment. And that costs a lot of money. So, if you want to cross guests off the list to save money, I feel that that would be the more prudent choice.

On solving the provided question, we can say that A dilation is a transformation that yields a different-sized picture with the same general shape as the original.

A dilation in mathematics is a function f from a metric space M to itself that, for any point x, y in M, fulfills the identity d = rd. where r is a positive real integer and d is the separation between x and y. Such extensions are identical in space according to Euclid. Dilation is a transform that modifies an object's size. The process of dilation is used to enlarge or reduce items. The result of this transformation is an image that is a perfect replica of the original shape. However, there is a variation in the shape's size. The initial form ought to be distorted by dilation.

A dilation is a transformation that yields a different-sized picture with the same general shape as the original. The scale factor (also known as the dilation constant) and the dilation center are included in the description of a dilation. A fixed point in the plane around which all points are enlarged or contracted is the center of a dilation.

for example

triangle ABC ≈ triangle A'B'C'

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Answer:

x = 60

Step-by-step explanation:

x and 60 are alternate interior angles and since the lines are parallel, x = 60.

x = 60

Answer:

60°

Step-by-step explanation:

We know that, if two line are parallel, alternate angles are equal.

B D // X Y

Therefore,

x = 60°

Since y is inversely proportional to x squared and y = 8 when x = 3.5, the negative value of x when y = 8/9 is equal to -10.5 or -21/2.

In Mathematics, an inverse variation can be modeled by this mathematical expression:

y ∝ 1/x

y = k/x

Where:

Based on the information provided above, we would determine the constant of proportionality (k) by substituting the value of the given variable as follows:

y = k/x²

k = yx²

k = 8(3.5)²

k = 98.

Now, we can determine the negative value of x:

x = √(k/y)

x = √(98/(8/9)

x = √110.25

x = 10.5 or 21/2.

x = -10.5 or -21/2.

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Answer:

The cost per hour for renting the boat is $18 per hour.

A function is said to be linear if it is a straight line graph and it can be represented by the equation:

y = mx + b

where y, x are variables, m is the rate of change and b is the initial value of y.

Let y represent the total cost for renting the boat for x hours.

Given the equation:

y = 18x

Therefore the cost per hour for renting the boat is $18 per hour.

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The last boxplot is the one that displays the values range  of the distribution that is given.

The range of a function in mathematics can refer to one of two ideas that are connected in some way: Codomain for the function an illustration of the action If there is precisely one y in Y and there are two sets X and Y, then a binary relation f between X and Y is a function that connects x and y.

Here ,Given information:

6,7,9,9,20,22,26,28,29,30

N = 10 observations were made.

The base number is 6. ( least value)

Quartile lower= n+1(0.25)

term = 0.25(13) = 3.25term = 13

Median equals 0.5 (n + 1)

term = 0.5(13) = 6.5 term = (20 + 24) /2 = 22

Upper quartile: 0.75 (13)

A term equals 9.75 a term equals 26.5

Interquartile Range (IQR) is equal to= Q3 - Q1= (26.5 - 13) = 13.5

The highest value is 30. (highest value in the distribution)

As a result, the Last boxplot is the one that shows the distribution that is given.

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The bearing of B from A​ is 76°.

Trigonometric angles are the angles in a right-angled triangle using which different trigonometric functions can be represented. Some standard angles used in trigonometry are 0º, 30º, 45º, 60º, 90º.

Given that, a boy walks 3 km from point A on a bearing of 023°. He the walks 4 km on a bearing of 113° to a point B.

If A is at (0,0) then his first turn is at

X is at A + (3 sin23° , 3 cos23°) = (1.172, 2.761)

and B is at X + (4 cos23° , -4 sin23°) = (4.854, 1.198)

So, the bearing of B from A is θ,

where tanθ = 4.854/1.198 ≈ 76°

Therefore, the bearing of B from A​ is 76°.

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The function F(x) = 2/x has a removable discontinuity at x = 0, and a non-removable discontinuity at x = 0.

What is the Function?

A function is a mathematical relation between a set of inputs, called the domain, and a set of possible outputs, called the range. The definition of a function is often written as "f: X → Y", where X is the domain and Y is the range, and "f" is the name of the function.

The function F(x) = 2/x has a removable discontinuity at x = 0, and a non-removable discontinuity at x = 0.

At x = 0, the function is not defined, so it has a removable discontinuity at x = 0.

However, since the function is not defined for x = 0, it is also a non-removable discontinuity at x = 0.

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Inequality to represent the weight of one blue square:

s < 12

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Given,

One red circle of an weighs 12 grams

By the figure,

Weight of blue square is less than red circle

Let weight of blue square be s.

Then,

s < 12

Hence, s < 12 is the inequality to represent weight of blue square.

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[tex]2+b(a^2+4)[/tex] when a is 2 and b is 4

Substitute for variables with given values:

[tex]2+(4)((2)^2+4)[/tex]

[tex]=\fbox{34}[/tex]

By simple algebra, Karishma spends 12 hours of time on watching TV in September.

Mathematical operations are applied on abstract symbols instead of concrete numbers in the field of algebra, which also includes other formal manipulations. The area of mathematics known as geometry is concerned with the qualities of the space that objects are in as well as the shape of the objects themselves.However, many of Leibniz's concepts had already been discovered by the Indian mathematician Bhskara more than 500 years prior. Additionally, Bhskara made significant contributions to geometry, trigonometry, algebra, and arithmetic.

Time spent each day watching TV=2/5 hours

Number of days in September=30

Total number of hours she watched TV in September=(2/5)*30=12 hours

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Question-"Karishma spends ⅖ hours of time on watching TV each day.

Calculate the total number of hours she spends on watching TV in

the month of September."

Regression analysis is mostly used when you want to predict a continuous dependent variable from a several number of independent variables. If the dependent variable is dichotomous, then logistic regression can be used.

If the break between the two levels of the dependent variable is nearly to 50-50%, then we can use both logistic and linear regression will end up giving you similar results.

If you have inserted the data (rather than using an established dataset), it is a nice idea to check the accuracy and the consistence of the data entry.

If you do not want to re-check all the data point, you should at least check the minimum and maximum value for all the variable to ensure that all values for each variable are "valid" or not.

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Therefore , the solution of equation comes out to be the depth of the river is 5+(6.5/3)*x.

Algebraic fundamentals include: Algebraic expression addition and subtraction, algebraic expression division and multiplication, figuring out equations, literal formulas and equations, Applying verbal issues

Here,

Given : Let x = amount of rainfall (inches)

Let D = depth of river (feet)

Depth of river increases due to rainfall.  Relationship of the depth of increase (in feet) to the amount of rainfall (inches) is:

6.5 feet / 3 inches rainfall

Depth will increase by (6.5/3)*x

Depth of river will be the initial depth plus the amount of increase due to rainfall. So:

D = 5 + (6.5/3)*x

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Based on the descriptions of two lines, a statement which is true include the following: C. Line 1 is neither parallel nor perpendicular to Line 2.

In Mathematics, the slope of a straight line can be calculated by using this this mathematical expression;

Slope, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope, m = (y₂ - y₁)/(x₂ - x₁)

From the information provided above, we have the following data points on the line:

Substituting the given points into the slope formula, we have the following;

Slope, m = (y₂ - y₁)/(x₂ - x₁)

Slope, m = (-9 - 17)/(9 - (-4))

Slope, m = -26/(9 + 4)

Slope, m = -26/13

Slope, m = -2

For the slope of line 2, we have:

Slope, m = (y₂ - y₁)/(x₂ - x₁)

Slope, m = (19 - 1)/(-5 - 1)

Slope, m = -18/6

Slope, m = -3

In conclusion, we can logically deduce that both lines are neither parallel nor perpendicular because their slope differs.

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Step-by-step explanation:

what is so confusing ? let me know, where you need more explanation.

the angle PTS = 96°

that is the angle between the outer left and the outer right line, so the total angle of everything in the graphic.

now we see 2 sub-angles in there :

PTQ = 28°

RTS = 49°

and we are looking for a third sub-angle QTR.

well, we know, all 3 angles together are the same as the one big angle defined at the beginning.

PTS = PTQ + RTS + QTR

96 = 28 + 49 + QTR

96 - 28 - 49 = QTR

QTR = 19°

(a) Truth Table is attached.

(b) In canonical SOP form, A = ∑ m(3,5,6,7)

(c) Minimal form: A = m1m2 + m0m1 + m0m2

(b) Canonical SOP form: The canonical sum-of-products (sop) form of LPP in matrix notation is as follows: Boost Z = CX (objective function) AX b (restrictions) and X 0 (limitations) apply (non-negativity restrictions).

it will be A = ∑ m(3,5,6,7)

(c) Minimal form: The k-map can be defined as a map that provides a pictorial method of grouping together expressions with common factors and therefore eliminating unwanted variables. The Karnaugh map can also be described as a special arrangement of a truth table.

it will be A = m1m2 + m0m1 + m0m2

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The complete question is:

a museum has three rooms, each with a motion sensor (m0,m1, and m2) that outputs 1 when motion is detected. at night, the only person in the museum is one security guard who walks from room to room. create a circuit that sounds an alarm (by setting an output a to 1) if motion is ever detected in more than one room at a time, meaning there must be at least one intruder.

(a) Specify the truth table

(b) formulate canonical sum of products implementation for A

(c) Minimize A using K-maps and write the minimum implementation of A

Answer:

x = -4

Step-by-step explanation:

3x + 5= -7

bring the 5 to the other side

3x = -12

divide both sides by 3

x = -4

Answer:

[tex] \sf \: x = - 4[/tex]

Step-by-step explanation:

Now we have to,

→ Find the required value of x.

The equation is,

→ 3x + 5 = -7

Then the value of x will be,

→ 3x + 5 = -7

→ 3x = -7 - 5

→ 3x = -(7 + 5)

→ 3x = -12

→ x = -12 ÷ 3

→ [ x = -4 ]

Hence, the value of x is -4.

Because by multiplying by 8/3, you're multiplying by 1/3, 8 times. (8*1/3=8/3)