Use a model in 2006, the average ticket price for a national football league game was $62. 38. Since then the cost has increased an average of $2. 54 per year. Write a linear equation to represent the cost c of an nfl ticket y years after 2006.

The difference in the payments of Oscar and Felix is given as follows:

$56.

The payment for each of Oscar and Felix is obtained applying proportions, with the multiplication of the finance charge by each of the rates.

As stated in the problem, the balance is of:

800.

Felix rate is of:

14%.

Hence the finance charge for Felix is of:

0.14 x 800 = 112.

Oscar rate is of:

21%.

Hence the finance charge of Oscar is of:

0.21 x 800 = 168.

Then the difference in the payments will be of:

168 - 112 = $56.

Felix and Oscar applied for the same credit card from the same bank. The bank checked both of their FICO scores. Felix had an excellent credit rating, and Oscar had a poor credit rating.

The rates are given as follows:

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The y-intercept of the coordinate plane is y = -5/16x+32

To find the equation or y-intercept, we fist need to find the slope of the equation.

The intercept form of the equation is given by

y-y1 = m(x-x1)

The slope can be find as

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

Let us consider two points as

x1 = 32, y1 = 22

x2 = 48. y2 = 17

Substitute the values to get the slope

m = (17-22)/(48-32) = -5/16

Now substitute the values to find y-intercept

(y-22) = -5/16(x-32)

⇒ y-22 = -5/16x+10

⇒ y = -5/16x+10+22

⇒ y = -5/16x+32

Hence, y intercept of the given points are y = -5/16x+32

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The equation relating C to S will C = 7500+175S and the total cost to transport 14 tons of sugar is $9950.

According to the question,

We have the following information:

It will cost $7500 to rent trucks, and it will cost an additional $175 for each ton of sugar transported. Let C represent the total cost (in dollars), and let S represent the amount of sugar (in tons) transported.

So, we have the following expression:

C = 7500+175S

Now, when S = 14, then the total cost will be:

C = 7500+175*14

C = 7500+2450

C = $9950

Hence, the equation relating C to S will C = 7500+175S and the total cost to transport 14 tons of sugar is $9950.

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[tex]\frac{-3}{5} > -2[/tex] indicates that -3/5 is located on the right of -2 on the number line.

What is number line?

A number line is a diagram of a graduated straight line used to represent real numbers in introductory mathematics. It is assumed that every point on a number line corresponds to a real number, and that every real number corresponds to a point.

consider, [tex]\frac{-3}{5} > -2[/tex]

Here, -3/5 = -0.6

-0.6 > -2

-0.6 is the number greater than -2.

So, -3/5 is located on the right side of -2.

Hence, -3/5  is located on the right of -2 on the number line.

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Answer:

The second and the fifth answers are correct.

Step-by-step explanation:

When a line that is externally tangent to both circles intersects ray AB at point C, the value of BC is 12.

A tangent line to a circle in Euclidean plane geometry is a line that touches the circle at exactly one point while never entering the circle's interior. Tangent lines to circles are the topic of various theorems and are used in several geometrical constructions and proofs.

A tangent to a circle is a straight line that touches the circle just once. This is referred to as the point of tangency. The tangent to a circle is perpendicular to the radius at the point of tangency.

Let D and E be the tangent points of circles A and B with line CD, AB=8.

Also, set BC to x.

Because ADC and BEC are at right angles,

At the point of tangency, the radius is perpendicular to a tangent line, and both triangles share ACD, ADCBEC.

We can calculate the proportion from this.

BC/AC=BE/AD

x/(x+8)=3/5

5x=3x+24

2x=24

x=12

As a result, the value of BC=12

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"Externally tangent circles with centers at points A and B have radii of lengths 5 and 3, respectively. A line externally tangent to both circles intersects ray AB at point C. What is BC?"

Ordered pairs are in the solution set of the system of linear inequalities are as follows

> Negative one-halfx

y < One-halfx + 1

On a coordinate plane, the 2 straight lines are shown.

The first solid line has a negative slope and goes through (0, 0) and (4, -2).

Everything above the line is shaded. The second dashed line has a positive slope and goes through (-2, 0) and (2, 2).

Hence, everything below the line is shaded.

(5, –2), (3, 1), (–4, 2)

(5, –2), (3, –1), (4, –3)

(5, –2), (3, 1), (4, 2)

(5, –2), (–3, 1), (4, 2)

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The number of candies is 7,and the number of pretzels is 6 that Shaquana bought.

Given:

Shaquana and her children went into a movie theater and she bought $53 worth of candies and pretzels.

Each candy costs $5 and each pretzel costs $3. She bought a total of 13 candies and pretzels altogether.

Let x be the number of candies and y be the number of pretzels.

x + y = 13

x = 13 - y

5x + 3y = 53

susbstitute x value, we get

5(13 - y) + 3y = 53

-5y + 65 + 3y = 53

-2y = 53 - 65

-2y = -12

divide by -2 on both sides

y = -12/-2

y = 6 pretzels

x = 13 - y

= 13 - 6

= 7 candies .

Therefore the number of candies is 7,and the number of pretzels is 6 that Shaquana bought.

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If you dealt 4 cards from a shuffled deck of 52 cards without replacement.

The probability that all 4 cards are face cards is 0.00182842367.

The face cards are the King, Queen, and Jack (sometimes known as the Knaves). There are 12 face cards in the 52-card deck of playing cards.

The cards are drawn without replacement,

The probability of getting a face card in first draw is 12/52.

As it is without replacement, in the second draw the probability is 11/51.

In third draw, it is 10/50.

In the fourth draw the probability is 9/49.

We have to draw all the four cards, so we multiply the probabilities, to get the final probability.

=12/52x 11/51 x 10/50 x 9/49

=0.00182842367.

Hence the answer is, the probability that all 4 cards are face cards is 0.00182842367.

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The probability of typing four letters with no repeated letters is 0.785.

Probability is the possibility of happening an event.

Given that, the four letters are typed.

Note that there are a total of 26 letters.

Therefore, the probability of typing four letters with no letters repeated is:

(26/26) × (25/26) × (24/26) × (23/26)

= 358800/456976

= 0.785

Hence, the probability of typing four letters with no repeated letters is 0.785.

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Answer: -1.75

Step-by-step explanation: -7 + 5 + (-9) + 4 = -7, then -7÷4=-1.75

Answer: 13

Step-by-step explanation:

Answer:

12-9

Step-by-step explanation:

A correlational study can produce one of three outcomes: a positive correlation, a negative correlation, or no correlation at all. A measure of how closely two or more variables are related to one another is known as correlation.

A statistical measure known as correlation expresses how closely two variables are related linearly (meaning they change together at a constant rate).It's a common method for describing simple relationships without mentioning cause and effect explicitly. Correlation is a measure of how strongly two variables are related, but it also refers to association. There are three possible results from a correlational study: a positive correlation, a negative correlation, or no correlation at all.

A measure of how closely two or more variables are related to one another is known as correlation.

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Answer:

see below

We need to prove that KL ≅ JK .

Given :-

To prove:-

Proof:-

In ∆JKM and ∆LKM ,

Therefore by AAS congruence condition , ∆JKM ≅ ∆LKM .

Therefore,

Hence proved !

Answer: 5w plus 23 equals 98

Step-by-step explanation:

This answer is more reasonable because Paula already has $23 and she can save $5 per week.  She only needs 75 dollars more to get the records. So it will take her 17 weeks to get $75.

The best line of fit which models the given data can be obtained using a linear regression calculator is y = 12.63x + 274.21

Using a linear regression calculator or excel, the linear regression model obtained by fitting the data is :

y = 12.63x + 274.21

y = Predicted variable

x = predictor variable

Slope = 12.63

Intercept = 274.21

Therefore, the best line of fit is y = 12.63x + 274.21

what is the best fit?

A straight line that minimizes the gap between it and some data is called a line of best fit. In a scatter plot containing various data points, a relationship is expressed using the line of best fit. It is a result of regression analysis and a tool for forecasting indicators and price changes.

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Answer: x = 4

Step-by-step explanation:

Let's first look at the equation!

5x-2(2x-1)=6

First thing you do is the -2(2x-1) to break the ( )

So, -2*2x = -4x and -2*-1 = 2

So now we have 5x-4x+2=6

Then you see that there are 2 like terms?

Like terms: the terms that contain the same variable which is raised to the same power.

You can do 5x-4x = 1x!

Now we have 1x+2=

Now we do -2 to get rid of the 2!

We will get 1x=4

Now we divide!

1x divided by 1 giving you x!

and 4 divided by 1 giving you

x = 4!

the inequality that shows the values of x for which the expression is defined √x-2•√x+3 is √x-2≤4 and √x+3≤-9

p ≠ q means that p is not equal to q

p < q means that p is less than q

p > q means that p is greater than q

p ≤ q means that p is less than or equal to q

p ≥ q means that p is greater than or equal to q

Therefore, √x-2≤4 and √x+3≤-9

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The required probability will 4/9 that is  probability that none of balls selected in the second draw has ever been used.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. By dividing the number of favorable outcomes by the total number of possible outcomes, probability—the likelihood that an event will occur—is determined. The most basic illustration is a coin toss. There are only two outcomes when you flip a coin: either it comes up heads or tails.

Here,

10 balls are never used.

One was used in previous draw.

So, the balls remaining=10-1

=9 balls

Now, 4 balls out of 9 balls will be selected.

The necessary probability is 4/9, which represents the likelihood that none of the balls chosen in the second draw have ever been used.

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Answer:

x = 1

5 x 1 = 5 + 10 = 15

Step-by-step explanation:

Answer: X= 1

Step-by-step explanation: you would do 15 - 10 = 5

then you would do 5x times 5 which would equal 25

Answer: 238

Step-by-step explanation:

Bit hard to explain but after some work this is what I got

Hope this helps :)

7.5 2. debt payments of $700 in two months and $800 in five months are scheduled to be due. If interest at 8.3% is allowed, what single payment today is required to settle the two scheduled payments.

Single payment today is required to settle the two scheduled payment is $1,948.2.

Given Payments of two months = $700

Payments in five months = $800

Interest rate = 8.3%

To find : Single payments of two scheduled payments

Solution:

Interest for 1 month for $700

        = $700 x 8.3%

        = 58.1

Thus, for two months

Interest = 2 x $58.1 = $116.2

Now interest for 1 month for $800

       = $800 x 8.3%

       = $66.4

Thus, for five months

Interest = 5 x $66.4

       = $332

Now total Payments:

       = ($700 + $116.2) + ($800 + $332)

       = $1,948.2

Hence, single payment today is required to settle the two scheduled payment is $1,948.2.

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Answer:

Step-by-step explanation:

The number of permutations and combinations possible for the formation is: [tex]^{31}C_{11} \times ^{12}C_3 \times ^{3}C_1 \times ^{9}C_4 \times ^{7}C_3[/tex]

What are permutations and combinations?

By choosing some items from a set and creating subsets, permutation and combination are two approaches to represent a group of objects. It outlines the numerous configurations for a particular set of data. Permutations are the selection of data or objects from a set, whereas combinations are the order in which they are represented. Both ideas are critical to mathematics.The act of placing all the components of a set into a certain sequence or order is known as permutation in mathematics. In other terms, the process of permuting is the reordering of the elements of a set if the set is already ordered. Nearly all areas of mathematics involve permutations in some form or another. They frequently appear when various orderings on particular finite sets are taken into account.

In the given question: we have;

Total number of PLayers = 31;

Number of goalkeeper = 3;

Number of Defender = 12;

Number of Midfielders = 9;

Number of Strikers = 7;

We have to select 11 players

and in that we should have 3 defenders; 4 midfielders, 3 strikers, and 1 goalkeeper;

So the permutation and combination possible for choosing a defender from 12 players are: [tex]^{12}C_3[/tex]

and,

The number of permutations and combinations possible for choosing 1 goalkeeper are: [tex]^{3}C_1[/tex]

A number of permutations and combinations possible for choosing 4 midfielders are: [tex]^{9}C_4[/tex]

The number of permutations and combinations possible for choosing 3 strikers are: [tex]^{7}C_3[/tex]

So, the total number of ways possible is: [tex]^{31}C_{11} \times ^{12}C_3 \times ^{3}C_1 \times ^{9}C_4 \times ^{7}C_3[/tex]

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Answer:

469

Step-by-step explanation:

871/13 =67

67 x 7 = 469