Noah went into a movie theater and bought 9 drinks and 4 candies‹ costing a total of $6o. Nachelle went into the same movie theater and bought 10 drinks and a candies, costing a total of $57.50. Determine the price of each drink and the price of each candy.

There are 12 possible seating arrangement that Ali, Bonnie, Carlo, and Dianna can seat in a 4 seated car while visiting to a nearby theme park.

There are in total 4 people so the the possible seating arrangement should be 4! = 4*3*2 = 24.

But only 2 people know how to drive a car that is Bonnie and Carlo,

So the remaining seat can be occupied by any three that are remaining beside the driver.

So 3 remaining people can go in the front passenger seat.

There are 2 people who can go in the first back passenger seat.

The remaining person must go in the last seat.

Thus, there are 2x3x2 or 12 ways that they can be seated.

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

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the function value f(14) = 4.8.

What is a function?

A unique kind of relation called a function is one in which each input has precisely one output. In other words, the function produces exactly one value for each input value. The graphic above shows a relation rather than a function because one is mapped to two different values. The relation above would turn into a function if one were mapped to a single value instead. Additionally, output values can be equal to input values.

The x-values are input into the function machine. The function machine then performs its operations and outputs the y-values. The function within can be any function.

f(1)= 10

f(21)= 2

Let the function f(x) = ax+b

f(1)= 10 = a+b

f(21)= 2 = 21a +b

20a = -8

a=-8/20

b = 208/20

f(14) = 14*(-8/20)+208/20 = 4.8

Hence the function value f(14) = 4.8.

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Answer:

Sum

1:15.452

2:22.864

Difference

3:4.63

4:59.18

Nothing can be done to this it is in its simplest form.

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

Explanation:

x = number of minutes

y = temperature

The equation is

y = 23x+68

The slope 23 tells us how fast the oven is heating up. The 68 is the y intercept, and it's the starting temperature (when x = 0).

We want to find the value of x when y = 275

y = 23x+68

275 = 23x+68

275-68 = 23x

207 = 23x

23x = 207

x = 207/23

x = 9

It takes   9  minutes   for the oven to reach a temperature of 275°F

--------

Check:

y = 23x+68

y = 23*9+68

y = 207+68

y = 275

The answer is confirmed.

Answer: 968 extra pencils

Step-by-step explanation:

No matter what the number is, the answer when raised to the power of zero is always 1.

No matter what the number is, the answer when raised to the power of zero is always 1

7 to the power of zero is written as 7^0.

The answer is 1, since any number raised to the power of zero is equal to 1.

Any number raised to the power of zero is equal to 1. This is true regardless of the number. For example, 7 to the power of 0 is written as 7^0. The answer is 1. This can be seen from the equation 7^0 = 7 x 1 = 1. Similarly, 8^0 = 8 x 1 = 1, and 9^0 = 9 x 1 = 1. This concept can be applied to any number, positive, negative, whole, fractional, or decimal. No matter what the number is, the answer when raised to the power of zero is always 1.

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Answer:

6f + 2

Step-by-step explanation:

The 9 and the - 7 are "like terms"

They are both constants. That is, they don't have a variable. The terms will be considered "like terms" if they have the same variables to the same power.

So we can combine 9 and - 7.

9 + - 7 is 2.

9 + 6f - 7

= 6f + 9 - 7

= 6f + 2

Using the concept of proportions and similar triangle theorem, the value of BC is x + [(x² + 3x) / 3x - 8]

A similar triangle is a triangle that has the same shape as another triangle, but not necessarily the same size. Two triangles are similar if and only if their corresponding angles are equal and the ratios of their corresponding sides are equal.

The Similar Triangles Theorem states that if two triangles have corresponding angles that are congruent, then their corresponding sides are in proportion. In other words, if two triangles have the same shape, the ratio of any pair of corresponding sides is always the same.

To find the value of BC, we can use similar triangle theorem as;

AB / BC = DE / EC

Substituting the values;

4x - 6 / (x + EC) = x + 2 / EC

NB: BE = EC

4x EC - 6EC - x EC - 2EC = x² + 2x

NB: This is done after cross multiplying and collecting like terms

3x EC - 8 EC = x² + 2x

(3x - 8) EC = x² + 3x

EC = x² + 3x / 3x - 8

The length of BC = BE + EC

BC = x + [(x² + 3x) / 3x - 8]

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The value of x is 4 and the value of y is 13 in the parallelogram.

What is a parallelogram?

A quadrilateral with two sets of parallel sides is referred to as a parallelogram. In a parallelogram, the opposing sides are of equal length, and the opposing angles are of equal size. Additionally, the interior angles that are additional to the transversal on the same side.

According to the properties of a parallelogram the opposing sides are equal and parallel.

AB = CD

So, the equation will be -

10 = y - 3

y = 10 + 3

y = 13

Now, another property of a parallelogram suggests that adjacent angles of a parallelogram equals 180°.

∠B + ∠C = 180°

So, the equation will be -

112° + ∠C = 180°

∠C = 180° - 112°

∠C = 68°

The opposite angles of a parallelogram are equal -

∠C = ∠A

So, the equation will be -

68° = 17x°

x = 68/17

x = 4

Therefore, the values of x and y are 13 and 4 respectively.

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the volume of a cone will be 201.06 in³.

What is volume of cone?

The area or volume that a cone takes up is referred to as its volume. Cones are measured by their volume in cubic units such as cm3, m3, in3, etc. By rotating a triangle at any of its vertices, a cone can be created. A cone is a robust, spherical, three-dimensional geometric figure.. Its surface area is curved. The perpendicular height is measured from base to vertex. Right circular cones and oblique cones are two different types of cones. While the vertex of an oblique cone is not vertically above the center of the base, it is in the right circular cone where it is vertically above the base.

So the

V = (1/3)πr²h.

Given, data r = 5yards

h = 8 yards

Volume = 1/3 * π * r ²* h

V = 1/3 * π * 4 ²* 12 =201.06 in³.

Hence, the volume of a cone will be 201.06 in³.

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Answer: 17 boxes

Step-by-step explanation: 53-2=51 (subtract 2 from 53 as they are left at home)

51/3=17 ( divide by 3 as one box contains 3 lemon cupcakes)

so the answer is 17 boxes

$145 money does Carter need to earn at the bike shop to keep his budget balanced

The projection of future income and spending is done using a budget. Simply expressed, a budget accounts for both anticipated income and costs as well as future saving and spending. A budgeting method enables you to prepare for your income and spending over a specific time period. For instance, planning a monthly budget involves considering how much money you'll have coming in and going out each month. Surplus, Balanced, and Deficit Budgets are the three types of yearly government finances based on projections.

Dog walking: $20                           Costume: $40

Working at the bike shop: $145   Fixing bike: $25

Gift from uncle: $50                       Corn maze: $15

Pet sitting: $35                                Saving for college: $170

Total: $250                                      Total: $250

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It will take 15 minutes to run 2.5 miles at an average speed of 10 miles per hour.

speed is described as. the pace at which an object's location changes in any direction. Speed is defined as the distance traveled divided by the travel time. Speed is a scalar quantity because it just has a direction and no magnitude.

Given, you run at an average speed of 10 mi/h.

Since,

Average speed = 10 mi/h

or in minutes

Average speed = 10/60 = 1/6 miles per minutes

Thus,

to run 2.5 miles it will take:

time = distance/ speed

time taken to run 2.5 miles = 2.5 * 6 =15 minutes

therefore, to run 2.5 miles at the average speed of 10mi/h it will take 15 minutes.

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Answer: 3w-8

Step-by-step explanation: I don't quite understand you because I speak English but it's 3w-8

(x,y) = (2,0) trust me substitution is easy

If r is a nonzero rational number, then r is a product of two irrational numbers.

If q≠0 is rational and y is irrational, then qy is irrational.

: You know that if G

is a group and H≠G

is one of its subgroups then h∈H

and y∈G∖H

implies that hy∈G∖H

Proof: suppose hy∈H

You know that h−1∈H, and therefore y=h−1(hy)∈H

Contradiction

In our case, we have the group (R∗,⋅) and its proper subgroup (Q∗,⋅). By the arguments above q∈Q∗ and y∈R∖Q implies qy∈R∖Q

.

Simply multiply it by the square root of two to obtain an irrational number. A product of two irrational numbers, your original number is obtained by multiplying this irrational number by the square root of two, which is itself irrational.

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Equation of line passing through the point and having slope m=1

y=mx+C

In this question, m=tan45°=1

So the equation becomes y=x+C

New line passes through (3,5)

Putting the values in the equation,5=3+c

C=2

New equation of line becomes y=x+2

Another line x+y−6=0

These two lines intersect at Q

y=x+2

y=−x+6

2y=8

y=4

Put the value of y=4 in line equation,

y=x+2

x=2

Q(2,4)

P(3,5)

O(0,0)

Distance between two points

=9×PQ² +14×O ² +10×OQ²

=9×2+14×34+10×20

=18+476+200

=694

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Answer:

45*31=1,395

that would be 1,395 gallons if water used in december.

Step-by-step explanation:

The Highest Common Factor (HCF) of 12, 18, and 48 is 6. This means that 6 is the greatest number that can be evenly divided into all three numbers without leaving a remainder.

1. List out the factors of each number:

12: 1, 2, 3, 4, 6, 12

18: 1, 2, 3, 6, 9, 18

48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

2. Find the common factors of all three numbers:

1, 2, 3, 6

3. The greatest number of these common factors is 6, so 6 is the HCF of 12, 18, and 48.

The Highest Common Factor (HCF) is the greatest number that can be evenly divided into all the numbers in a set. To find the HCF of a set of numbers, we must first list out the factors for each number. The factors are the numbers that can be evenly divided into the original number. For instance, 1, 2, 3, 4, 6, and 12 are the factors of 12. We then compare the lists of factors of all the numbers and find the common factors. The greatest number of these common factors is the HCF. For example, the HCF of 12, 18, and 48 is 6, because 6 is the greatest number that can be evenly divided into all three numbers without leaving a remainder

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Answer:

46cm

Step-by-step explanation:

The equation of the function is f'(x) = 8(x - 7) + 6

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

f(x) = 8x - 6

We have the transformation property to be"

shifts 7 units right

Mathematically, this can be represented as

f'(x) = f(x - 7)

So, we have

f'(x) = 8(x - 7) + 6

Hence, the function is f'(x) = 8(x - 7) + 6

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The type of triangle that Kevin drew based on the information is a scalene triangle.

A scalene triangle is a triangle with different lengths for each of its three sides and different measures for each of its three angles. A scalene triangle's angles adhere to the angle sum property and always add up to 180 degrees.

A scalene triangle has three sides, each of which is measured differently. Each of a triangle's three interior angles has a different measurement. Scalene triangles don't have a symmetry line.

In this case, the sides are all different as illustrated in Kevin's case.

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For [tex]$\mathrm{k}=2$[/tex] and[tex]$\mathrm{k}=-\frac{10}{9}$[/tex]given equation will have real and equal roots.

On comparing given equation with [tex]$\mathrm{ax}^2+\mathrm{bx}+\mathrm{c}=0$[/tex]we get,[tex]$a=1, b=-2(1+3 \mathrm{k})$[/tex] and [tex]$c=7(3+2 \mathrm{k})$[/tex]

For the roots to be real and equation D must be equal to zero,

[tex]\mathrm{D} & =\mathrm{b}^2-4 \mathrm{ac} \\[/tex]

[tex]0 & =4(1+3 \mathrm{k})^2-4 \times[7(3+2 \mathrm{k})] \\[/tex]

[tex]& =9 \mathrm{k}^2+6 \mathrm{k}+1-21-14 \mathrm{k} \\[/tex]

[tex]9 \mathrm{k}^2-8 \mathrm{k}-20 & =0[/tex]

The given equation will have equal roots, if

[tex]9 k^2-8 k-20 & =0 \\[/tex]

[tex](k-2)(9 k+10) & =0 \\[/tex]

[tex]k-2=0 \text[/tex]  and [tex]9 k+10 & =0 \\[/tex]

[tex]k=2 \text[/tex] and  [tex]k & =-\frac{10}{9}[/tex]

Hence, for [tex]$\mathrm{k}=2$[/tex] and[tex]$\mathrm{k}=-\frac{10}{9}$[/tex]given equation will have real and equal roots.

The complete question is,

Find the values of [tex]$\mathrm{k}$[/tex] for which the given equation has real and equal roots

[tex]$$\mathrm{x}^2-2 \mathrm{x}(1+3 \mathrm{k})+7(3+2 \mathrm{k})=0$$[/tex]

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Decision Analysis is a mathematical method for making decisions in uncertain environment.

What is environment ?

Environment refers to the surrounding conditions, resources and factors that can have an impact on an organism, community, or system. This can include physical factors such as weather, terrain, and pollution, as well as biological factors such as other living organisms, and social or economic factors such as culture, laws and economic conditions.

The process of Decision Analysis can be broken down into several steps:

1) Define the decision problem: Clearly state the problem and the decision maker's objectives.

2) Identify the decision alternatives: List all the feasible options available to the decision maker.

3) Specify the probability distribution of the uncertain parameters: Assign probabilities to the possible outcomes of the uncertain parameters.

4) Evaluate the expected value or expected loss for each alternative: Compute the expected value or expected loss for each alternative, using the probability distribution of the uncertain parameters.

5) Choose the alternative with the highest expected value or the lowest expected loss: Select the alternative that maximizes the expected value or minimizes the expected loss.

6) Sensitivity analysis: Check the robustness of the decision by studying the effect of small changes in the model's assumptions.

Decision Analysis is a mathematical method for making decisions in uncertain environment.

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My answer's in screenshot format since Brainly bot is suspicious of long answers:

Answer:

52.1

Step-by-step explanation:

have great day!!!

Answer:

OK so

The 10th is the one right after the decimal. We are basically rounding that 0.

5 and above rounds up

below 5 rounds down

the next number is an 8,

so we would round it as

52.1

Step-by-step explanation:

No, 3 is not an algebraic expression.

In mathematics, an algebraic expression is a combination of numbers, variables and arithmetic operations (such as addition, subtraction, multiplication and division) that can be evaluated to a specific value when the variables are assigned specific numerical values.

For example, 3x + 2 is an algebraic expression. Here, x is the variable and 3, 2 are constants. We can substitute any numerical value for x and evaluate the expression for that specific value.

On the other hand, 3 is a numerical value, not an expression. It doesn't contain any variables or operators that can be evaluated for different values. It is a constant value, it doesn't change with the change of x or any other variable.

In summary, an algebraic expression is a combination of numbers, variables and arithmetic operations, whereas 3 is just a numerical value, not an algebraic expression.

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Answer:

See below

Step-by-step explanation:

Domain refers to the x values of a function

Range refers to the y values of a function

The measure of each angle is 104° and 76°.

Supplementary refers to angles that come together to form a straight angle. It indicates that when two angles sum up to 180 degrees, they are said to be supplementary angles. If two angles Supplementary one another if,

It has an acute angle on one side and an obtuse angle on the other.

The angles are both right angles.

Given An angle that measures 28° more than the measure of its supplementary angle,

let the angle be x

and  supplementary angle of x =  180 - x

according to condition

x = 28 + 180 - x

2x = 208

x = 208/2

x = 104°

and  supplementary angle of x =  180 - x

 supplementary angle of x =  180 - 104

 supplementary angle of x = 76°

Hence the angles are 104° and 76°.

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