9. Jing purchased lunch for himself and his friends. If the lunch cost $27.53 how much change will
Jing get if he pays for the lunch with a $100 bill?
A. $73.53 B. $72.53 C. $73.47 D. $72.47 E. $27.47

Please show the work

Answer:X=12/7

Step-by-step explanation:

Y \(\alpha\) X

⇒Y=KX

Where K is the constant

From the question,k=7

⇒ When Y=12,

y=KX

12=7X

X=12/7

The chords in the circle L are illustrations of intersecting chords

The lengths that are even numbers are FJ and GJ

The length AD is given as:

AD = 10

From the circle, we have:

AD = AH + HK + KD

Where:

AH = 3 and KD = 2

So, we have:

10 = 3 + HK + 2

Solve for HK

HK = 5 ---- odd length

Next, we calculate length FH using the following intersecting chord theorem

FH * HB = AH * HD

This gives

(FJ + 3) * 3 = 3 * (2 + 5)

Divide by 3

FJ + 3 = 7

Subtract both sides by 3

FJ = 4 --- even length

Next, we calculate length KE using the following intersecting chord theorem

KE * KC = KD * KA

This gives

KE * 3.2 = 2 * (5 + 3)

Evaluate the product

KE * 3.2 = 16

Divide by 3.2

KE = 5 --- odd length

Next, we calculate length GJ using the following intersecting chord theorem

GJ * JE = FJ * JB

This gives

GJ * 4.5 = 4 * (6 + 3)

Evaluate the product

GJ * 4.5 = 36

Divide by 4.5

GJ = 8 --- even length

Hence, the lengths that are even numbers are FJ and GJ

Read more about intersecting chords at:

https://brainly.com/question/15660011

Answer: -4 and -10

Step-by-step explanation:

-4 and -10

-4x-10=40

-4+-10=-14

Answer:

7.013, 7.13, 7.1371, 7.2

Step-by-step explanation:

Both functions decrease at (-1, 2)

The complete question is added as an attachment

The polynomial function f(x) is represented by the graph.

From the graph, the polynomial function decreases at (-2, 2)

The absolute function is given as;

f(x) = =5|x + 1| + 10

The vertex of the above function is

Vertex = (-1, 10)

Because a is negative (a= -5), the vertex is a maximum.

This means that the function decreases at (-1, ∞)

So, we have

(-2, 2) and (-1, ∞)

Combine both intervals

(-1, 2)

This means that both functions decrease at (-1, 2)

See attachment 2 for the number line that represents the interval where both functions are decreasing

Read more about function intervals at:

https://brainly.com/question/27831985

#SPJ1

The time taken when the person wants to burn 250 calories will be 42.37 minutes.

From the information, the 150-pound person uses 5.9 calories per minute when walking at a speed of 4 mph.

Therefore, the time taken when the person wants to burn 250 calories will be:

= Number of calories / 5.9

= 250 / 5.9

= 42.37 minutes.

Therefore, the time taken when the person wants to burn 250 calories will be 42.37 minutes.

Learn more about calories on:

brainly.com/question/1178789

#SPJ4

After evaluation, we can conclude that the expression (E) 8/2 * 2/12 is equivalent to the given expresion 16/24.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement.

It's possible to multiply, divide, add, or subtract with this mathematical operation.

You must substitute a number for each variable and carry out the arithmetic operations in order to evaluate an algebraic expression.

So, we have the expression:

16/24

We need to find the equivalent expression from the options as follows:

So, let's take option (E) as it seems the answer and evaluation is:

8/2 * 2/12 (Be LHS)

Now, multiply:

8/2 * 2/12 = 16/24

16/24 = 16/24

Therefore, after evaluation, we can conclude that the expression (E) 8/2 * 2/12 is equivalent to the given expression 16/24.

Know more about expressions here:

https://brainly.com/question/28934492

#SPJ1

Answer:

64

Step-by-step explanation:

because the next number is equal to the same

Answer:

256

Step-by-step explanation:

Look closely at the stated list in the question:

1=4

2=16

3=64

Notice that the second number is reached by taking the first number and placing it as an exponent to 4.

4^1=4

4^2=16

4^3=64

So the missing number must be 4^4 which is equal to 256

Answer:

d line 1 and 3

Step-by-step explanation:

The speed of the moving body that is being referred to here is 80 kilometer per hour.

The given problem is a straightforward one based on the idea of the universal law of motion. According to the universal law of motion, any uniformly traveling body's distance traveled is determined by the product of its speed and the time elapsed. Distance is calculated as speed * time. Therefore the body is going at a speed of 80 kilometers per hour, according to the same relation as above, assuming that it is moving at a constant speed.

                                \(Distance = speed * time\)

Learn more about universal law of motion here:

https://brainly.com/question/21806184

#SPJ4

Answer:

17min

Step-by-step explanation:

45-[(s(2)+ j(6) )]

45-[(10 + 18)]

45- 28= 17

The algebraic expression is 45 - 3J - 5S and the amount of time Bailey has left will be 17 minutes.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

Bailey has 45 minutes to work out. It takes Bailey 3 minutes to run around the track and 5 minutes to extend. She runs 6 laps around the track and stretches twice.

Let J for the number of laps she jogs and S for the number of times she stretches, and T be the time remaining.

T = 45 - 3J - 5S

Then the remaining time is given as,

T = 45 - 3 x 6 - 5 x 2

T = 45 - 18 - 10

T = 45 - 28

T = 17 minutes

The algebraic expression is 45 - 3J - 5S and the amount of time Bailey has left will be 17 minutes.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ2

Answer:

The perimeter of the rectangular box.

Step-by-step explanation:

The equation of a line y=2x+8.

The equation of a straight line can be represented in the slope-intercept form, y = mx + c

Where c = intercept

Slope, m =change in the value of y on the vertical axis/change in the value of x on the horizontal axis

Looking at the given line,

y = 2x + 7

Compared with the slope-intercept equation,

Slope, m = 2

If a line is parallel to another line, it means that both lines have equal or the same slope. This means that the slope of the line passing through the point (-2, 4) is 2

Substituting m= 2, y = 4 and x = -2 into the equation, y = mx + c , it becomes

4 = 2 × - 2 + c

4 = - 4 + c

c = 4 + 4 = 8

The equation becomes y=2x+8.

To know more about slope-intercept form:

https://brainly.com/question/14061893

#SPJ4

The probability that two people out of a group of five were born on the same day of the week can be calculated using the concept of combinatorics and the principle of inclusion-exclusion. The probability is approximately 0.712, or 71.2%.

1. To determine the probability, we can consider the complementary event: the probability that none of the five people were born on the same day of the week.

2. For the first person, there are seven possible days of the week they could have been born on. The second person also has seven options, but since we want them to have a different birth day, they have six options. Similarly, the third person has six options, the fourth person has five options, and the fifth person has four options.

3. Multiplying these possibilities together, we find that the probability of none of them sharing a birth day is (7/7) * (6/7) * (6/7) * (5/7) * (4/7) ≈ 0.176.

4. Finally, we subtract this probability from 1 to find the probability that at least two people were born on the same day of the week: 1 - 0.176 ≈ 0.824.

Learn more about principle of inclusion-exclusion here: brainly.com/question/10005944

#SPJ11

Answer:

you fine

Step-by-step explanation:

Answer: The slope of the line passing through the points (-3, 5) and (4, -1) is -6/7.

Step-by-step explanation:   To find the slope of a line given two points, you can use the formula:

slope = (y2 - y1) / (x2 - x1)

Using the points (-3, 5) and (4, -1), we can substitute the values into the formula:

slope = (-1 - 5) / (4 - (-3))

= (-6) / (4 + 3)

= (-6) / 7

Therefore, the slope of the line passing through the points (-3, 5) and (4, -1) is -6/7.

Answer:  

\(Slope=-\frac{6}{7}\)

Step-by-step explanation:

\(m= \frac{y2-y1}{x2-x1} \\\\m=\frac{-1-5}{4-(-3)} \\\\m=\frac{-6}{7} \\\\Slope= -\frac{6}{7}\)

Develop similarity measures by applying the Jaccard index formula to the membership degrees of the fuzzy sets and use these measures for clustering objects based on their fuzzy characteristics.

The question is asking about new similarity measures of intuitionistic fuzzy sets based on the Jaccard index and their application to clustering.

To answer the question, first, let's understand what fuzzy sets and clustering are. Fuzzy sets are a generalization of classical sets where an element can have a degree of membership ranging between 0 and 1. Clustering, on the other hand, is a technique used to group similar objects together based on their characteristics.

Now, the question specifically mentions the Jaccard index as a basis for similarity measures. The Jaccard index is a measure of similarity between two sets, which is calculated as the ratio of the intersection of the sets to the union of the sets.

To develop new similarity measures for intuitionistic fuzzy sets based on the Jaccard index, you can apply the Jaccard index formula to compare the membership degrees of the elements in the fuzzy sets. The resulting similarity measure will provide a quantitative value indicating the degree of similarity between the sets.

These new similarity measures can then be applied to clustering. In clustering, the similarity measures between objects are used to determine the groupings. By utilizing the Jaccard index-based similarity measures for intuitionistic fuzzy sets, you can cluster objects based on their fuzzy characteristics and similarities.

In summary, the question asks about new similarity measures of intuitionistic fuzzy sets based on the Jaccard index and their application to clustering. To answer this, you can develop similarity measures by applying the Jaccard index formula to the membership degrees of the fuzzy sets and use these measures for clustering objects based on their fuzzy characteristics.

Learn more about  fuzzy sets clustering https://brainly.com/question/29643588

#SPJ11

As per the formula of surface area of cube, the length of the cube is 5.45 meters.

The general formula to calculate the surface area of the cube is calculated as,

=> SA = 6a²

here a represents the length of cube.

Here we know that  the side of a cube with a surface area of 180 square meters than a cube with the surface area of 120 square meters.

When we apply the value on the formula, then we get the expression like the following,

=> 180 = 6a²

where a refers the length of the cube.

=> a² = 30

=> a = 5.45

To know more about Surface area here.

https://brainly.com/question/29298005

#SPJ4

Answer:

The answer is -22 because when you subtract -8 from -14 it gives you -22.

Hope this helps!

The relation "r" defined on the set of people, where xry if x is older than y, is not a partial ordering. The first paragraph will provide a summary of the answer, and the second paragraph will explain why the relation fails to satisfy the properties of a partial ordering.

Reflexivity: For every person x, x must be older than or equal to themselves. In this case, the relation holds true since a person is always older than or equal to themselves.

Antisymmetry: If x is older than y and y is older than x, then x and y must be the same person. However, in this case, the relation does not satisfy antisymmetry because two different people can have different ages. For example, person A can be older than person B, and person B can be older than person C, but person A and person C can still be different individuals.

Transitivity: If x is older than y and y is older than z, then x must be older than z. In this case, the relation satisfies transitivity since if person A is older than person B and person B is older than person C, then person A is older than person C.

Learn more about Antisymmetry here:

https://brainly.com/question/14142481

#SPJ11

Answer:

7 feet long

Step-by-step explanation:

This set up will give a right angle triangle where;

Length of the ladder is the hypotenuse = x

The distance of the ladder to the house is the adjacent = 3 feet

Angle of elevation theta = 72 degrees

Using the CAH in trigonometry identity;

cos theta = adjacent/hypotenuse

cos 72 = 3/hyp

hyp = 3/cos72

hyp = 3/0.4258

hyp = 7.05 feet

Hence the ladder is approximately 7 feet long

line y = − x / 5 + 4 / 5

slope( m1) = -1/5

Slope of required line( m2) = 5

[as it is perpendicular to given eqn of line

m1×m2= -1

m2=1/m1= 5]

y-4= 5(x+3)

y-4=5x+15

y=5x+19

Answer: I hope it helps :)

Step-by-step explanation:

1.

\(Hypotenuse =x\\Opposite =y \\Adjacent =6\\\alpha = 6\\Let's\: find\: the \:hypotenuse\: first\\Using SOHCAHTOA\\Cos \alpha = \frac{adj}{hyp} \\Cos 60 = \frac{6}{x} \\\frac{1}{2} =\frac{6}{x} \\Cross\:Multiply\\x = 12\\Let's\: find\: y\\Hyp^2=opp^2+adj^2\\12^2=y^2+6^2\\144=y^2+36\\144-36=y^2\\108=y^2\\\sqrt{108} =\sqrt{y^2} \\y=6\sqrt{3}\)

2.

\(Opposite =x\\Hypotenuse = 46\\Adjacent =y \\\alpha =60\\Using \: SOHCAHTOA\\Sin \alpha =\frac{opp}{adj} \\Sin 60=\frac{x}{46}\\\\\frac{\sqrt{3} }{2} =\frac{x}{46} \\2x=46\sqrt{3} \\x = \frac{46\sqrt{3} }{2} \\x =23\sqrt{3} \\\\Hyp^2=opp^2+adj^2\\46^2=(23\sqrt{3} )^2+y^2\\2116=1587+y^2\\2116-1587=y^2\\529=y^2\\\sqrt{529} =\sqrt{y^2} \\y = 23\)

3.

\(Hypotenuse = u\\Opposite =6\sqrt{3} \\Adjacent = v\\\alpha =60\\Sin\: 60 = \frac{6\sqrt{3} }{u} \\\frac{\sqrt{3} }{2} =\frac{6\sqrt{3} }{u} \\12\sqrt{3} =u\sqrt{3} \\\\\frac{12\sqrt{3} }{\sqrt{3} } =\frac{u\sqrt{3} }{\sqrt{3} } \\u = 12\\Hyp^2=opp^2+adj^2\\12^2= (6\sqrt{3} )^2+v^2\\144=108+v^2\\144-108=v^2\\36 = v^2\\\sqrt{36} =\sqrt{v^2} \\\\v =6\)

4.

\(Hypotenuse = a\\Opposite =18 \\Adjacent = b\\\alpha =45\\Tan \alpha = opp/adj\\Tan \:45 =18/b\\1=\frac{18}{b}\\ b = 18\\\\Hyp^2=Opp^2+Adj^2\\a^2 = 18^2+18^2\\a^2=324+324\\a^2=648\\\sqrt{hyp^2} =\sqrt{648}\\ \\a =18\sqrt{2}\)

5.

\(Hypotenuse = 13\sqrt{2}\\ Opposite =x\\Adjacent = y\\\alpha =45\\Sin\:\alpha = opp/hyp\\Sin 45=x/13\sqrt{2}\\ \\\frac{\sqrt{2} }{2} =\frac{x}{13\sqrt{2} } \\2x=26\\2x/2=26/2\\\\x = 13\\\\Hyp^2=opp^2+adj^2\\(13\sqrt{2})^2=13^2+y^2\\ 338=169+y^2\\338-169=y^2\\169=y^2\\\sqrt{169} =\sqrt{y^2} \\13 = y\)

Answer:

Domain: { - 3 , 0 , 3 , 6 } ; Range: { 1 , 2 , 3 , 4 }

Step-by-step explanation:

f(x) = y = \(\frac{x}{3}\) + 2

f( - 3 ) = ( - 3 ) ÷ 3 + 2 = 1

f( 0 ) = ( 0 ) ÷ 3 + 2 = 2

f( 3 ) = ( 3 ) ÷ 3 + 2 = 3

f( 6 ) = ( 6 ) ÷ 3 + 2 = 4

Domain: { - 3 , 0 , 3 , 6 }

Range: { 1 , 2 , 3 , 4 }

Answers:

Domain = -3,0,3,6

Range = 1,2,3,4

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

Explanation:

The domain is the set of allowed x inputs of a function. We simply type in the values your teacher gave you, which are: -3, 0, 3, 6 as the domain.

To find the range, we plug each item from the domain separately one at a time into the equation to find the y value.

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

If x = -3, then,

y = x/3 + 2

y = -3/3 + 2

y = -1 + 2

y = 1

The domain item of x = -3 pairs up with the value y = 1 in the range.

In short, 1 is in the range.

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

If x = 0, then,

y = x/3 + 2

y = 0/3 + 2

y = 0 + 2

y = 2

The value 2 is also in the range.

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

If x = 3, then,

y = x/3 + 2

y = 3/3 + 2

y = 1 + 2

y = 3

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

If x = 6, then,

y = x/3 + 2

y = 6/3 + 2

y = 2 + 2

y = 4

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

The y values we got at the end of each section were: 1,2,3,4

This consists of the range that corresponds to the given domain.

Answer:

The dependent variable is the number of plays he carries the ball.

The independent variable is the number of touchdowns he scores.

The dependent variable is the number of yards he gains.

Step-by-step explanation:

Tom's coach keeps track of the number of plays that Tom carries the ball and how many yards he gains. Select all the statements about independent and dependent variables that are true.

The dependent variable is the number of plays he carries the ball.

The independent variable is the number of plays he carries the ball.

The independent variable is the number of touchdowns he scores.

The dependent variable is the number of yards he gains.

The dependent variable is the number of touchdowns he scores.

y = kx

y = dependent variable. it is the variable that is explained by the dependent variable

x = is the variable that explains the dependent variable

The coordinates of point P which divides the line segment AB in the ratio 1:3 are ( -13.5, 0)

What is section formula for internal division?

If point P (x,y) lies on line segment AB and satisfies AP:PB = m:n, then we say that P divides AB internally in the ratio m:n. The point of division has the coordinates

(x, y) = \((\frac{mx_2 + nx_1}{m+n} }, \frac{my_2 + ny_1}{m+n} )\)

According to the given question:

Coordinates of the line segment AB are A(-18, -2) and B(0, 6).

This line segment is divided into 1:3 ratio by point P

Let coordinates of point P be (x, y)

Using Section Formula

(x, y) = \((\frac{mx_2 + nx_1}{m+n} }, \frac{my_2 + ny_1}{m+n} )\)

Clearly (x₁, y₁) = (-18, -2) and (x₂, y₂) = (0, 6). Also m:n = 1:3

Substituting in the above equation

(x, y) = \((\frac{1.0 + 3.(-18)}{1+3} }, \frac{1.6 + 3.(-2)}{1+3} )\\\)

(x, y) = ( -13.5, 0)

Hence the coordinates of point P which divides the line segment AB in the ratio 1:3 are ( -13.5, 0)

To know more about section formula visit

https://brainly.com/question/24140705

#SPJ1

Answer: Let's solve this problem step by step.

First, let's assume the salaries of An and B to be 5x and 3x, respectively, where x is a common multiplier.

According to the given information, they save Rs. 2600 and Rs. 1800, respectively. Since savings come from the remaining portion of their incomes after spending, we can calculate their expenditures as follows:

For An:

Income of An = Salary of An + Savings of An

Income of An = 5x + 2600

For B:

Income of B = Salary of B + Savings of B

Income of B = 3x + 1800

Now, let's consider the proportion of their expenditures. It is given that the proportion of their expenditures is 9:5. So, we can write the following equation:

(Expenditure of An)/(Expenditure of B) = 9/5

Since expenditure is the complement of savings, we have:

[(Income of An - Savings of An)] / [(Income of B - Savings of B)] = 9/5

Substituting the previously derived expressions for income, we get:

[(5x + 2600 - 2600)] / [(3x + 1800 - 1800)] = 9/5

Simplifying the equation, we have:

5x / 3x = 9/5

Cross-multiplying, we get:

5 * 3x = 9 * 3x

15x = 27x

Subtracting 27x from both sides, we have:

0 = 12x

This implies that x = 0, which is not a valid solution. Therefore, there seems to be an error or inconsistency in the given information or equations. Please recheck the problem statement or provide additional information to help resolve the issue.

Answer:

the second one

Step-by-step explanation:

05) is called alpha (α). If the probability (i.e., p-value) is less than alpha that we would obtain a sample mean this large or larger from the null population, we reject the null hypothesis and conclude that our sample was drawn from a different population with a sample mean larger than the null mean.