During the Christmas season, a store offers a sale. You buy one item for the regular price then you get 60% discount on a second item of equal or less value. You choose to buy two items with regular prices of $30 and $20. In addition, the store charges 9% sales tax of your purchase after the discount. Which of the following is what you actually pay for the items?

The total time it took Jace to out home and return home is 21 minutes and the graph represents that the total distance was 8 blocks.

So, the total number of minutes Jace takes to get back home after going out:

Total minutes:

(Refer to the graph attached below)

Therefore, the total time it took Jace to out of home and return home is 21 minutes and the graph represents that the total distance was 8 blocks.

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The probability that the sample mean would differ from the population mean by greater than 0.5 millimeters is 1

From the question, the given parameters about the distribution are

The standard deviation is the square root of variance

So, we have

Standard deviation = 6

The z-score is calculated using the following formula

z = (x - mean value)/standard deviation

Substitute the given parameters in the above equation

z = (0.5 - 127)/6

Evaluate

z = -21.08

The probability is then calculated as:

P(x > 0.5) = P(z > -21.08)

From the z table of probabilities, we have;

P(x < 0.5) = 1

Hence, the probability is 1.0

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Answer:

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

The greatest value of the function is - 3.

Answer:

addition?

Step-by-step explanation:

The number of degrees of freedom for the chi-square goodness-of-fit test is of:

2.

The number of degrees of freedom for a chi-square goodness-of-fit test is obtained according to the multiplication presented as follows;

df = (r - 1) x (c - 1).

In which the variables are listed as follows:

The table in this problem has three rows, given as follows:

The table has two columns, which are given as follows:

Hence the number of degrees of freedom of the test is given as follows:

df = (3 - 1) x (2 - 1) = 2 x 1 = 2.

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Taking into account the definition of a system of linear equations, the number of 2-pointers and 3-pointers Sarah made is 2 and 3 respectively.

A system of linear equations is a set of equations relating two or more unknown values, the goal of which is to determine those values so that the equations are true.

Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied. That is to say, the values ​​of the unknowns must be sought, with which when replacing, they must give the solution proposed in both equations.

In this case, a system of linear equations must be proposed taking into account that:

You know:

The system of equations to be solved is

x + y= 10

2x+3y= 24

It is decided to solve it using the substitution method, which consists of clearing one of the two variables in one of the equations of the system and substituting its value in the other equation.

In this case, isolating the variable "x" from the first equation:

x= 10 - y

Replacing this expression in the second equation:

2×(10-y)+3y= 24

Solving:

2×10 -2y +3y= 24

20 -2y +3y= 24

-2y +3y= 24 - 20

y= 4

Remembering that x= 10 -y, you get:

x= 10 -4

x= 6

Finally, the number of 2-pointers Sarah made is 2 and the number of 3-pointers she made is 3.

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Answer:

Math: the science and study of quality, structure, space, and change.

The statement that would be true concerning the graph would be that the graph will have a slope of -0.5.

A slope is defined as the difference between a chosen point on the vertical and horizontal axis.

The slope of a straight line graph has a constant equation that is used to determine its slope. Thus;

y = mx + b

Where m = the measure of the steepness of the straight line graph.

From the equation of the graph that was given;

y = -0.5x + 12. The slope of the graph which is represented by 'm' would be -0.5.

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Answer:

b = 3

Step-by-step explanation:

Given that,

→ a = 27

Forming the equation,

→ 27 = 3b²

Now the value of b will be,

→ 27 = 3b²

→ b² = 27/3

→ b = √9

→ [ b = 3 ]

Hence, the value of b is 3.

⇒Given that a=27 in the equation [tex]a=3b^{2} \\[/tex] in the place of a plug in 27 and solve for b

[tex]27=3b^{2} \\\frac{27}{3} =\frac{3b^{2}}{3} \\b^{2} =9\\b^{2}-9=0\\(b+3)(b-3)=0\\b+3=0\\or\\b-3=0\\b=-3\\or\\b=3[/tex]

⇒Note b can also be -3 but the only option available as the answer is 3

∴ b=3 in this case.

do you mean 712 or 7.12?

If for 712 it is 1808.48

if for 7.12 it is 18.0848

Recent research has confirmed the Spillover Hypothesis by demonstrating a favourable association between life and job happiness.

According to the spillover hypothesis, behaviour or affect in a family system might flow immediately from one place or connection to another. Transfer takes place in the same valence, which means that one subsystem's negative affect is connected to another's negative affect, or stress at work spills over and intensifies stress at home. The compensatory hypothesis offers a different perspective by arguing that transfer between family subsystems occurs in the opposite valence, leading a person to seek fulfilment in one relationship or environment in order to make up for shortages in another.

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The amount of pasta and sauce since he wants each bag to have the same amount is 16.

A factor simply means a number that can multiplied with another number which is also.a factor to get the original number.

In this case, Cesar has 32 boxes of pasta and 48 jars of sauce that he will be putting into bags for a food drive.

It should be noted that to get the number in each bag, it means that we have to find the highest common factor for both numbers. This will be:

Factors of 32 = 1, 2, 3, 4, 6, 8, 16 and 32

Factor of 48 = 1, 2, 3, 4, 6, 8, 12, 16, 24 and 48.

Therefore, the answer is 16.

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The equations using any method for the given situation illustrated that:

Equation for Jordan: 225 + 45w

Equation for RayAnn: 150 + 60w

Let the number of weeks be represented by w.

Jordan saved $225 and continues to save $45 each week. The equation for this will be:

= 225 + (45 × w)

= 225 + 45w

RayAnn saved $150 and continues to save $60 each week. The equation will be:

= 150 + (60 × w)

= 150 + 60w

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The graph of the function  y=3 -1/2x is attached below.

Function:

Function refers the relationship between inputs where each input is related to exactly one output.

Given,

Here we have the function  y=3 -1/2x.

Now, we have to plot the graph of the function.

In order to plot the graph of the function, we have to take some sample values for x.

So, we will take the values of the x as -2, -1, 0, 1, 2.

Now, we have to apply the values on the given function then we get,

=> x = -2 => y = 3 - 1/2(-2) => y = 3 + 1 => y = 4

=> x = -1 => y = 3 - 1/2(-1) => y = 3 + 1/2 => y = 7/2 = 3.5

=> x = 0 => y = 3 - 1/2(0) => y = 3 - 0 => y = 3

=> x = 1 => y = 3 - 1/2(1) => y = 3 - 1/2 => y = 5/2 = 2.5

=> x = 2 => y = 3 - 1/2(2) => y = 3 - 1 => y = 2

When we enter these values into the table, then we get the table like the following.

By using the table we have to plot the graph and then we get the graph like the following.

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ans=y=8

[tex] \frac{change \: in \: y}{change \: in \: x?} [/tex]

8-8=0

-7--9=2

hence the gradient is 0÷2=0

gradient(0)=

[tex] \frac{y - 8}{x - - 9?} [/tex]

so..,0=y-8

hence the equation is y=8

Answer:

The picture is not Clear. Please provide a better view of the question.

Step-by-step explanation:

The equation of the parabola from the vertex is f(x) = 7(x - 3)² + 5

The equation of the function is given as

f(x) = 7x²

Also, we have

Vertex = (3, 5)

The form of the equation is given as

f(x) = a(x - h)² + k

Where

Vertex = (h, k)

This means that

Vertex = (h, k) = (3, 5)

Substitute (h, k) = (3, 5) in the equation f(x) = a(x - h)² + k

So, we have

f(x) = a(x - 3)² + 5

This also means that

f(x) = 7(x - 3)² + 5

The 7 is gotten from f(x) = 7x²

Hence, the equation of the parabola is f(x) = 7(x - 3)² + 5

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The order of the rational numbers from the least to greatest is   [tex]-7\frac{2}{3}[/tex] < -7.3 < 7.23 <  [tex]7\frac{3}{4}[/tex]  .

in the question ,

it is given that the rational numbers are -7.3, [tex]7\frac{3}{4}[/tex], 7.23, [tex]-7\frac{2}{3}[/tex] .

we have to arrange the rational numbers in order from least to greatest .

For arrangement we first convert all the rational numbers in decimal form .

the decimal form of the given rational numbers are as follows .

(i) -7.3 is already given in decimal form .

(ii) [tex]7\frac{3}{4}[/tex] = (7*4+3)/4 = (28+3)/4 = 31/4 = 7.75

(iii) 7.23 is already in decimal form .

(iv) [tex]-7\frac{2}{3}[/tex] = -(7*3+2)/3 = -23/3 = -7.666

the order is -7.666 < -7.3 < 7.23 < 7.75

which is   [tex]-7\frac{2}{3}[/tex] < -7.3 < 7.23 <  [tex]7\frac{3}{4}[/tex]

Therefore , The order of the rational numbers from the least to greatest is    [tex]-7\frac{2}{3}[/tex] < -7.3 < 7.23 <  [tex]7\frac{3}{4}[/tex] .

The given question is incomplete , the complete question is

Order the following rational numbers from least to greatest.

-7.3, [tex]7\frac{3}{4}[/tex], 7.23, [tex]-7\frac{2}{3}[/tex]   .

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The value of y is 24 when x is -2.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given,

There are direct variations

y= 24 when x=2

We need to find value of y when x =-2

This can be found by forming an equation.

Let the value of unknown y be a

2/24=-4/a

Apply cross multiplication

2a=24(-2)

2a=-48

We need to divide by 2 on both sides

a=-24

Hence the value of y is 24 when x is -2.

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The equivalent monthly rate of the number of security breaches is of 5.31%, using an exponential function.

An increasing exponential function is modeled according to the rule presented by the equation as follows:

[tex]A(t) = A(0)(1 + r)^t[/tex]

In which the parameters of the exponential function are listed as follows:

In the context of this problem, considering the increase at an yearly rate of 86%, the parameter rate r is given as follows:

r = 0.86.

Hence the function is defined as follows:

[tex]A(t) = A(0)(1.86)^t[/tex]

One year is composed by 12 months, hence the monthly increase is calculated as follows:

[tex]r_m = (1.86)^{\frac{1}{12}} - 1 = 0.0531[/tex]

The monthly increase rate is of 5.31%.

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Answer:

The answer is 5.3

Answer:

|x-7|=3

Step-by-step explanation:

x is 3 units away from 7

x-3=7

x-7=3

x+3=7

3=7-x

|x-7|=3

Answer:

about 77.2°

Step-by-step explanation:

The figure is omitted--please sketch it.

Make sure your calculator is in degree mode.

[tex] \cos( \alpha ) = \frac{2}{9} [/tex]

[tex] \alpha = {cos}^{ - 1} \frac{2}{9} = 77.2[/tex]

77.2 degrees

The relation is function because each value in the domain matches only one value in the range, the relationship described above can be thought of as a function.

Given that,

In the picture we can see the domain and range.

We have to find if the domain and range is function or not.

Each of the sets of domain values has precisely one range value, according to the mapping.

Every domain value in a relation must have precisely one range value in order for it to be referred to as a function. It is not recommended to assign or map a domain value to more than one range value.

Therefore, The relation is function because each value in the domain matches only one value in the range, the relationship described above can be thought of as a function.

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The triangles are congruent by ASA(angle side angle) theorem

Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure.

In other words, triangles are congruent when they have exactly the same three sides and exactly the same three angles.

There are different ways to find that out that triangles are congruent.

If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.

Therefore, the triangles are congruent by ASA(angle side angle) theorem.

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The expected value of the sum of these events will be 2 / 3.

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favourable outcomes / Number of sample

Given that the expected value for getting heads, on 30 coin tosses, is 15. The expected value for rolling a 1, after 30 die rolls is 5.

The probability of the sum will be calculated as,

P = ( 15 / 30 ) + ( 5 / 30 )

P =  ( 20 / 30 )

P = 2 / 3

Therefore, the expected value of the sum of these events will be 2 / 3.

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Answer:

Step-by-step explanation:

Ok;

1. Area is base times height.

Here shown, the base is 18cm and the height is 11cm. Don't be fooled by the 14cm for it is just the leg of a triangle not full height!!

18*11=198cm^2

2. Divide by two. We just caculated the area of the rectangle. Now we know a triangle is half of a rectangle's area so divide by 2!

198/2= 98cm^2

Answer: No

Step-by-step explanation: You want to find the unit rate for each bagel. 6/3 is 2 dollars, so each bagel is going to cost 2 dollars. If your getting 24 bagels for 9 dollars, 24/9 is 2 2/3 dollars for each bagel. 2 ≠ 2 2/3 so therefore, they're not the same.