The cost of 9 cupcakes is $12.50. What is the equation that represents The cost y of x amount of cupcakes What is the cause of 24 cupcakes

Answer:

A. 35.20 on edge

Step-by-step explanation:

The amount spent on golfing is an illustration of algebraic equation

Mario spent $35.20on golfing

Algebraic equations are mathematical statements, where two expressions have equal values

The table entries are given as:

Transaction    Amount

Oil change     $18.95

Gas in car      $20.50

Lunch out      $12.68

Golfing            ---

Total spent    $87.33

Represent the amount spent on golfing with x.

So, we have the following equation

\(18.95 + 20.50 + 12.68 + x = 87.33\)

Evaluate the sum

\(52.13 + x = 87.33\)

Collect like terms

\(x = 87.33 - 52.13\)

Evaluate the like terms

\(x = 35.2\)

Hence, Mario spent $35.20on golfing

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Answer:

5x^2y is the GCF for 15x2y3 and -20x3yz.

Step-by-step explanation:

2r+r+s+2s =2×r + r×1 + s×1 + 2×s

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

Here, given that,

2r+r+s+2s

=2×r + r×1 + s×1 + 2×s

Hence,

each sum as the product of two factors 2r+r+s+2s =2×r + r×1 + s×1 + 2×s

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The missing numbers are 3 hours = 180 minutes 24 hours = 1 day

24 months = 2 years

What are numbers ?

A number is an arithmetic value that is used to calculate and represent a quantity. Numerical symbols, such as "3," are written to represent numbers. A number system is a logical way of writing numbers that uses digits or symbols to represent them.

An arithmetic value used to indicate amount is called a number. A number is a mathematical concept that is used for counting, measuring, and labeling. Thus, mathematics is built on numbers. For instance, this is a single butterfly, and these are four.

1. 5 × x = 45

   45 / 5 = x

    x = 9

45 ÷ 5 = 9

2. 200 + 600 = 800

300 + 400 = 700

3. 3 hours = 180 minutes

     3 * 60 minutes

24 hours = 1 day

24 months = 2 years

12 * 2 = 24

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Answer:

NOTE: NONE OF THE OPTIONS GIVEN IS CORRECT. THIS IS THE CORRECT ANSWER.

AB = EF, BC = FG, AC = EG

Step-by-step explanation:

According to the SSS Congruence statement, for ∆ABC to be congruent to ∆EFG, all the sides of ∆ABC must be congruent to all the corresponding sides of ∆EFG.

This means that:

AB must be congruent to EF

BC must be congruent to FG

AC must be congruent to EG

Therefore, additional information is needed to prove that triangles ABC and EFG are congruent by the SSS triangle congruence theorem are:

AB = EF, BC = FG, AC = EG

NOTE: NONE OF THE OPTIONS GIVEN IS CORRECT. THIS IS THE CORRECT ANSWER.

The radian measure of an angle is directly proportional to the length of the arc intercepted by that angle on the unit circle.

Proportional is a mathematical concept that describes the relationship between two or more values that have a constant ratio. It is commonly used to describe the relationship between two or more variables, such as the size of an object in relation to another or the amount of a certain item in relation to the total amount. In proportionality, the ratio of the amounts remains consistent, no matter what the size of the values.

This means that as the angle increases, so does the length of the arc. This is because the length of an arc is determined by the angle measure of the central angle created by the arc, and the radian measure of an angle is the ratio of the arc length to the radius of the circle. Therefore, if the angle measure increases, so does the arc length.

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The graph of function y = |x| - 2 by translating the parent function is shown in image.

We have to given that;

Function is,

⇒ y = |x| - 2

Now, We can formulate;

Since, Function is,

⇒ y = |x| - 2

It is translation of parent function y = |x| by 2 units down.

Thus, The graph of function y = |x| - 2 by translating the parent function is shown in image.

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the triangle RST, we can measure the sides, and we get:

if we want the triangle ABC to be similar, has to be a right angle so the value of X has to be -2 or 3. let's see the triangles we have on each option:

So, triangles A and C have the same proportions that triangle RST, (half of each side)

so the correct option is between these two, now if we rotate the triangle RST, we get a similar triangle that A. (rotate until the side SR is vertical)

so the answer is: (-2,1)

Step-by-step explanation:

speed=distance÷time

A.V.S=440÷11=40m/s

hope it helps.. Please mark brainliest.

Answer:

40 m/s

Step-by-step explanation:

Find:

We are asked to find the unit rate, How many meters per 1 second?

Know:

440 meters in 11 seconds

Solve:

440 meters in 11 seconds

  ? meters in 1 second

   440/11  = 40 meters per second

Answer:

The average speed of the person is 40 m/s

With the help of the given Venn diagram, the answer of n(A∪B) is 44 respectively.

A Venn diagram is a visual representation that makes use of circles to highlight the connections between different objects or limited groups of objects.

Circles that overlap share certain characteristics, whereas circles that do not overlap do not.

Venn diagrams are useful for showing how two concepts are related and different visually.

When two or more objects have overlapping attributes, a Venn diagram offers a simple way to illustrate the relationships between them.

Venn diagrams are frequently used in reports and presentations because they make it simpler to visualize data.

So, we need to find:

A ∪ B

Now, calculate as follows:

The collection of all objects found in either the Blue or Green circles, or both, is known as A B. Its components number is:

8 + 7 + 14 + 6 + 1 + 8 = 44

n(A∪B) = 44

Therefore, with the help of the given Venn diagram, the answer of n(A∪B) is 44 respectively.

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The transformation of f(x) to g(x) is :

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

The functions f(x) and g(x)

Where, we have

f(x) = x

g(x) = 1/9x - 2

The graph of the functions f(x) and g(x) are added as an attachment

And we have the transformations to be:

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Answer:

the answer is 2 hours

Step-by-step explanation:

The solution to the system is x = 6/17 and y = -7/17

Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient

A system of linear equations is a collection of at least two linear equations.

In this case, the system of equations is given as

-9x+2y=-4

-x+4y=-2

Multiply -9x+2y=-4 by 2

So, we have

-18x + 4y = -8

Subtract -18x + 4y = -8 from the equation -x+4y=-2

-x + 18x + 4y - 4y = -2 + 8

Evaluate the like terms

17x = 6

Divide both sides of the equation by 17

x = 6/17

Substitute x = 6/17 in -x + 4y = -2

-6/17 + 4y = -2

This gives

4y = -2 + 6/17

Evaluate

4y = -28/17

Divide by 4

y = -7/17

Hence. the solution to the system is x = 6/17 and y = -7/17

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114 is 95% of 120

100% of 120 is 120, therefore 95 percent of 120 equals 114. To learn how to solve 114 is 95 percent of what number, see the step-by-step instructions below.

114 is 95 Percent of What Number?

Formula = Number x 100

Percent = 114 x 100

95 = 120

The following shows the steps to derive this formula and find out 95% of the number is 114.

Step 1: If 95% of a number is 114, then what is 100% of that number? Set up the equation.

114

95% = Y

100%

Step 2: Solve for Y

Using cross multiplication of two fractions, we get

95Y = 114 x 100

95Y = 11400

Y = 11400

100 = 120

Answer:

55.26

Step-by-step explanation:

Divide 50 by 9.5 to get the amount the tool will be taxed.

5.26

Add 50 to that to get the total

55.26

The tax rate charge on the tool that is worth 9.5% is $4.75. The total amount paid for the tool is $54.75

The tax rate charge on a piece of equipment follows a standard rate by tax charges organization in that geographical region.

Given that:

= 9.5% × $50

= 0.095 × 50

= $4.75

The total amount paid for the tool is = $4.75 + $50 = $54.75

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Answer:

3

Step-by-step explanation:

The total amount the man had = 52,200 rupees. Out of this, he gave 21,750 rupees to his son, 13,050 rupees to his daughter, and 17,400 rupees to his wife , the total amount given away by the man = 21,750 + 13,050 + 17,400 = 52,200 rupees.

A man gave 5/12 of his money to his son, 3/7 of the remainder to his daughter, and the remaining to his wife. If his wife gets Rs. 8,700, what is the total amount?

The given problem can be solved using the concept of ratios and fractions. Let us solve the problem step-by-step.Assume the man had x rupees with him.The man gave 5/12 of his money to his son.

The remaining amount left with the man = x - 5x/12= (12x/12) - (5x/12) = (7x/12)The man gave 3/7 of the remainder to his daughter.'

Amount left with the man after giving it to his son = (7x/12)The amount given to the daughter = (3/7) x (7x/12)= (3x/4)The remaining amount left with the man = (7x/12) - (3x/4)= (7x/12) - (9x/12) = - (2x/12) = - (x/6) (As the man has given more money than what he had with him).

Therefore, the daughter's amount is (3x/4) and the remaining amount left with the man is (x/6).The man gave all the remaining amount to his wife.

Therefore, the amount given to the wife is (x/6) = 8700Let us find the value of x.x/6 = 8700 x = 6 x 8700 = 52,200

Therefore, the man had 52,200 rupees with him.He gave 5/12 of his money to his son. Therefore, the amount given to his son is (5/12) x 52,200 = 21,750 rupees.

The remaining amount left with the man = (7/12) x 52,200 = 30,450 rupees.He gave 3/7 of the remainder to his daughter. Therefore, the amount given to his daughter is (3/7) x 30,450 = 13,050 rupees.

The amount left with the man = (4/7) x 30,450 = 17,400 rupees.The man gave 17,400 rupees to his wife.
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I'm going to assume you're asking where the point is located on a coordinate plane.

We have x = 0 and y = -4.

So, we start at (0, 0) and move down 4 units.

Best of Luck!

Answer:

(a) To find the mean of the data set, sum up all the values and divide by the total number of values.

44 + 44 + 54 + 54 + 65 + 39 + 54 + 44 = 398

Mean = 398 / 8 = 49.75

Rounded to one decimal place, the mean of this data set is 49.8.

(b) To find the median of the data set, i need to arrange the values in ascending order first:

39, 44, 44, 44, 54, 54, 54, 65

The median is the middle value in the sorted data set. In this case, we have 8 values, so the median is the average of the two middle values:

(44 + 54) / 2 = 98 / 2 = 49

Rounded to one decimal place, the median of this data set is 49.0.

(c) To determine the modes of the data set, identify the values that appear most frequently.

In this case, the mode refers to the value(s) that occur(s) with the highest frequency.

From the data set, i see that the value 44 appears three times, while the value 54 also appears three times. Therefore, there are two modes: 44 and 54.

The sum of the two rational equations is equal to (3 · n² + 5 · n - 10) / (3 · n³ - 6 · n²).

In this question we must use algebra definitions and theorems to simplify the addition of two rational equations into a single rational equation. Now we proceed to show the procedure of solution in detail:

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The values of the variables are;

x = 7

y = -9

From the information given, we have that;

5x−y=44

−3x−y=−12

Using the elimination method of solving simultaneous equations

Subtract equation (2) from equation (1), we get;

5x - y - (-3x - y) = 44 - (-12)

Now, expand the bracket

5x - y+ 3x + y = 56

collect the like terms

5x + 3x = 56

add the terms

8x = 56

Make 'x' the subject of formula

x= 7

Now, substitute the value of x in equation (2)

-3x - y = -12

-3(7) - y = -12

expand the bracket

-21 - y= - 12

collect like terms

-y = 9

y = -9

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Answer:

3/4

Step-by-step explanation:

rise 3 then run 4 rise/run

The average speed is 0 m/s since the object does not move.

Since the object does not change its position, it does not move. Therefore, its average speed is 0 m/s.

The object in question does not move in a closed path, meaning that its position remains the same throughout the entire path. As a result, its average speed is 0 m/s. This is because average speed is the total distance traveled divided by the total time taken, and since the object does not move its distance traveled is 0 and its time taken is also 0. Therefore, when the object goes around the closed path, its average speed is 0 m/s.

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Answer:

Let

Angle A=x

Angle B=8x

\({:}\longrightarrow\)\(\sf x+8x=90 \)

\({:}\longrightarrow\)\(\sf 9x=90 \)

\({:}\longrightarrow\)\(\sf x={\dfrac {90}{9}}\)

\({:}\longrightarrow\)\(\sf x=10 \)

\(\therefore\) angle A=10°.

The inverse of the function f(x) = x + 4 is given as f⁻¹(x) = x - 4

An inverse function or an anti function is defined as a function, which can reverse into another function. In simple words, if any function “f” takes x to y then, the inverse of “f” will take y to x. If the function is denoted by ‘f’ or ‘F’, then the inverse function is denoted by f-1 or F-1.

In this problem, the function given is f(x) = x + 4;

We can find the inverse of the function as;

y = x + 4;

Let's switch the variables by replacing x as y and y as x;

x = y + 4

Solving for y;

y = x - 4

f⁻¹(x) = x - 4

The graph of the function is attached below

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Answer: 22

Step-by-step explanation:

\(f(f^{-1}(x))=f^{-1}(f(x))=x\)

The value of the Integral at the lower limit from the value of the integral at the upper limit to get the length of the curve.

The length of the curve described by the function f(x) = 1 + 3x^2 + 2x^3 is to be found. The formula used to find the length of a curve is:

L = ∫(sqrt(1 + [f'(x)]^2))dx where f'(x) is the derivative of f(x)We have to first find f'(x):f(x) = 1 + 3x^2 + 2x^3f'(x) = 6x + 6x^2

The integral becomes:L = ∫(sqrt(1 + [6x + 6x^2]^2))dx = ∫(sqrt(1 + 36x^2 + 72x^3 + 36x^4))dx The integral appears to be difficult to evaluate by hand.

Therefore, we use software like Mathematica or Wolfram Alpha to solve the problem. Integrating the expression using Wolfram Alpha gives:

L = 1/54(9sqrt(10)arcsinh(3xsqrt(2/5)) + 2sqrt(5)(2x^2 + 3x)sqrt(9x^2 + 4))The limits of integration are not given. Therefore, the definite integral  be solved.

We can, however, find a general solution. We use the above formula and substitute the limits of integration.

Then, we subtract the value of the integral at the lower limit from the value of the integral at the upper limit to get the length of the curve.

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Answer:

64 is the area!

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