if I bought a $40 basket and it was on sale for 50% off but added 10% sales tax how much is it

Answer:

(-2, -12), (0, 2), (2, 16), (4, 30)

Step-by-step explanation:

Input: -2

y = 7x + 2

y = 7(-2) + 2

y = -14 + 2

y = -12 (Output)

Input: 0

y = 7x + 2

y = 7(0) + 2

y = 0 + 2

y = 2 (Output)

Input : 2

y = 7x + 2

y = 7(2) + 2

y = 14 + 2

y = 16 (Output)

Input: 4

y = 7x + 2

y = 7(4) + 2

y = 28 + 2

y = 30 (Output)

bisects x = -12AB / (2AB - 6BD)

m∠ABC = 6x

= 6 × (-12AB / (2AB - 6BD))

To solve for x and find the measure of angle ABC (m∠ABC), we will apply the angle bisector theorem and use the given information.

According to the angle bisector theorem, the ratio of the lengths of the segments created by an angle bisector is equal to the ratio of the measures of the angles formed by the bisector.

Let's set up the equation using the given information:

m∠ABD = 6x (angle ABD)

m∠DBC = 2x + 12 (angle DBC)

Using the angle bisector theorem, we have:

AB/BD = m∠ABD/m∠DBC

Since BD bisects ∠ABC, we can substitute the given measures into the equation:

AB/BD = (6x) / (2x + 12)

To solve for x, we can cross-multiply:

AB × (2x + 12) = BD × (6x)

Expanding both sides of the equation:

2ABx + 12AB = 6BDx

Rearranging the equation:

(2AB - 6BD)x = -12AB

Now we can isolate x:

x = -12AB / (2AB - 6BD)

The measure of angle ABC (m∠ABC), we substitute the value of x back into the expression:

Simplifying this expression further would require additional information about the lengths of AB and BD.

Without this information, we cannot find the exact value of m∠ABC.

For similar questions on bisects

https://brainly.com/question/22499006

#SPJ8

Answer:

I'm guessing 3/2

Step-by-step explanation:

I can see the pattern that it's doing down, up and then down again

7/2 to 6/3

5/4 to 4/9 and so on

The  total distance it flies, rounded to the nearest mile is: d. 1,692 miles .

First distance= 550 miles (given)

Second distance=483 miles (given)

Now let find the third distance

Let x represent the third distance

Hence:

x/sin79 = 550/sin55

x= 659.1

Now let calculate the total distance

Total distance=550+483+659.1

Total distance= 1692.1

Total distance= 1692 miles (rounded)

Therefore the correct option is d.

Learn more about total distance here:https://brainly.com/question/4931057

#SPJ1

Answer:

no solution.

Step-by-step explanation:

Lines are parallel ,so they do not cut at any point.Hence no solution.

Answer: B

Step-by-step explanation:

4,8 and 6 all go into 24

Answer is

-4 < -1 < -1% < 1 < 6

Answer:

the number of red marbles ÷

the number of marbles

\( \frac{2}{18} = \frac{1}{9} \)

Therefore the probability that they both select a red marble is 1/9

Answer:

1/2  

Step-by-step explanation:

Hope it helps!:)

To keep the total seats still at 20,000 but change the ratio to 4 : 1; the number of premium and bleachers seats the stadium would have are; 16,000 and 4,000 respectively.

It follows from the task content that the total number of seats which the stadium would have if the ratio is to be changed to 4:1 be determined.

Since the number of seats, 20,000 remains constant.

To divide the number 20,000 in the ratio; 4 : 1;

The number of premium seats would be; (4/5) × 20,000 = 16,000 seats.

And the number of bleacher seats would be; (1/5) × 20,000 = 4,000 seats.

Read more on ratios;

https://brainly.com/question/2914376

#SPJ1

Answer:116,600

Step-by-step explanation:5,500 x 20 = 110,000 + 6% = 116,600

The $1314^\text{th}$ digit past the decimal point is 2.

To find the $1314^\text{th}$ digit past the decimal point in the decimal expansion of $\frac{5}{14}$, we can use long division to compute the decimal expansion of the fraction.

The long division of $\frac{5}{14}$ is as follows:

```

0.35    <-- Quotient

-----

14 | 5.00

   4.2    <-- Subtract: 5 - (14 * 0.3)

   -----

     80   <-- Bring down the 0

     70    <-- Subtract: 80 - (14 * 5)

     -----

     100   <-- Bring down the 0

      98    <-- Subtract: 100 - (14 * 7)

      -----

       20   <-- Bring down the 0

       14    <-- Subtract: 20 - (14 * 1)

       -----

        60   <-- Bring down the 0

        56    <-- Subtract: 60 - (14 * 4)

        -----

         40   <-- Bring down the 0

         28    <-- Subtract: 40 - (14 * 2)

         -----

         120   <-- Bring down the 0

         112    <-- Subtract: 120 - (14 * 8)

         -----

           80   <-- Bring down the 0

           70    <-- Subtract: 80 - (14 * 5)

           -----

           ...

```

We can see that the decimal expansion of $\frac{5}{14}$ is a repeating decimal pattern with a repeating block of digits 285714. Therefore, the $1314^\text{th}$ digit past the decimal point is the same as the $1314 \mod 6 = 0^\text{th}$ digit in the repeating block.

Since $1314 \mod 6 = 0$, the $1314^\text{th}$ digit past the decimal point in the decimal expansion of $\frac{5}{14}$ is the first digit of the repeating block, which is 2.

So, the $1314^\text{th}$ digit past the decimal point is 2.

To know more about Decimal Point related question visit:

https://brainly.com/question/28338004

#SPJ11

There are nC2 different votes possible, where n is the number of bands on the list and nC2 represents the number of ways to choose 2 bands out of n.

To calculate nC2, we can use the formula for combinations, which is given by n! / (2! * (n-2)!), where ! represents factorial.

Let's say there are m bands on the list. The number of ways to choose 2 bands out of m can be calculated as m! / (2! * (m-2)!). Simplifying this expression further, we get m * (m-1) / 2.

Therefore, the number of different votes possible is m * (m-1) / 2.

In the given scenario, we don't have the specific number of bands on the list, so we cannot provide an exact number of different votes. However, you can calculate it by substituting the appropriate value of m into the formula m * (m-1) / 2.

Know more about factorialhere:

https://brainly.com/question/18270920

#SPJ11

Answer:

6.25 or 6 1/4 kilograms

Step-by-step explanation:

Simply multiply 25 and 1/4 or 0.25.

The p-value (0.0055) is less than the significance level. Therefore, there is sufficient evidence to conclude that there is a difference in price among the three websites.

To test for significant differences in the mean price of a one-way airline ticket for the three travel agency websites, we will use a one-way ANOVA test. The null hypothesis is that all the population means are equal, while the alternative hypothesis is that at least two of the population means are different.

Based on the table provided, we can calculate the sample means and variances for each website:

Website Sample Size Sample Mean Sample Variance

Expedia   4            126.80                  215.4228

TripAdvisor 4            142.25            235.1304

Priceline   4             151.10                175.7749

The total sample size is 12, and the total sum of squares (SST) is 10165.4075. We can calculate the sum of squares between groups (SSB) and the sum of squares within groups (SSW) as follows:

SSB = (4*((126.8-140.05)^2 + (142.25-140.05)^2 + (151.1-140.05)^2)) = 2613.62

SSW = (3*((215.4228+235.1304+175.7749)/2)) = 305.51

The degrees of freedom for the ANOVA test are dfB = k-1 = 2 and dfW = N-k = 9, where k is the number of groups (in this case, 3) and N is the total sample size. The F-statistic can be calculated as F = (SSB/dfB) / (SSW/dfW) = 9.19, which has an associated p-value of 0.0055.

Using a significance level of 0.05, since the p-value (0.0055) is less than the significance level, we reject the null hypothesis. Therefore, there is sufficient evidence to conclude that there is a difference in price among the three websites.

To know more about about p-value :

https://brainly.com/question/30461126

#SPJ4

Answer:

2x - (3 + 4x) = 12

x = -7.5

y = -27

Step-by-step explanation:

-4x + y = 3 (1)

2x - y = 12 (2)

From (1)

y = 3 + 4x

Substitute y = 3 + 4x into (2)

2x - y = 12 (2)

2x - (3 + 4x) = 12

2x - 3 - 4x = 12

2x - 4x = 12 + 3

-2x = 15

x = 15/-2

x = -7.5

Substitute x = -7.5 into (2)

2x - y = 12 (2)

2(-7.5) - y = 12

-15 - y = 12

-y = 12 + 15

- y = 27

y = -27

The number of students who watch between 1 - 2 hours is 9.

We have,

From the table,

Number of students who watch tv for 1 hour = 5

Number of students who watch tv for 1.5 hours = 3

Number of students who watch tv for 2 hours = 1

Now,

The number of students who watch between 1 - 2 hours.

= Number of students who watch tv for 1 hour + 1.5 hours + 2 hours

= 5 + 3 + 1

= 9

Thus,

The number of students who watch between 1 - 2 hours is 9.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ4

543 cubic centimeters has 0.543 L approximate displacement

Engine displacement means the displacement of the piston inside cylinder from Bottom Dead Center into Top Dead Center in one cycle.

Basic formula to calculate engine displacement is

V = π/4 x \(D^{2}\) x H x N

Where :

D = Bore Diameter

H = Length of Stroke

N = Number of Cylinder

Since the question has already stated cubic centimeter, it has already show the displacement. So, we can ignore above formula and the 4 cylinder engine information.

First, we state what is known. It is the displacement at cubic centimeter

Cubic centimeter = 543 cc

Next, we change the unit of cubic centimeter ( cc ) into liter ( L )

Displacement = cc / 1000 L

                       = 543 / 1000 L = 0.543 L

Learn more about Displacement

https://brainly.com/question/11934397

#SPJ4

The growth rate of the bacterial colony after 3 hours is 32%, the population of a slowly growing bacterial colony after t hours is given by the function p(t) = 100 + 24t + 2t²

The growth rate of the colony is the rate of change of the population, which is given by the derivative of the function. The derivative of p(t) is p'(t) = 24 + 4t

The growth rate after 3 hours is p'(3) = 24 + 4 * 3 = 32. This means that the population of the colony is increasing by 32% after 3 hours.

To know more about derivative click here

brainly.com/question/29096174

#SPJ11

The probability that an incoming call to the customer service center will be from a customer who is either moderately satisfied or very satisfied with the service given by the call center is 0.480 or 48.0%.

To find the probability that an incoming call to the customer service center will be from a customer who is either moderately satisfied or very satisfied, we need to calculate the probability separately for each district and then sum them up.

Let's denote the events:

M: Call from a customer who is moderately satisfied.

V: Call from a customer who is very satisfied.

We are interested in finding P(M or V), which is the probability of the event M or the event V occurring.

For District A:

P(M) = 33%

= 0.33

P(V) = 11%

= 0.11

For District B:

P(M) = 34%

= 0.34

P(V) = 20%

= 0.20

Now, let's calculate the probability for each district by considering the proportions of calls from each district:

For District A:

P(A) = 60%

= 0.60

For District B:

P(B) = 40%

= 0.40

To find the overall probability of a call being moderately satisfied or very satisfied, we can use the law of total probability:

P(M or V) = P(A) * (P(M) + P(V)) + P(B) * (P(M) + P(V))

P(M or V) = (0.60 * (0.33 + 0.11)) + (0.40 * (0.34 + 0.20))

Calculating the values, we get:

P(M or V) = 0.60 * 0.44 + 0.40 * 0.54

= 0.264 + 0.216

= 0.480

Therefore, the probability that an incoming call to the customer service center will be from a customer who is either moderately satisfied or very satisfied with the service given by the call center is 0.480 or 48.0%.

To know more about probability visit

https://brainly.com/question/32004014

#SPJ11

Step-by-step explanation:

-px + r = 8x -2

Step 1: Add -8x to both sides.

-px + r + -8x = 8x - 2 + -8x

-px + r - 8x = 2

Step 2: Add -r to both sides.

-px + r - 8x + -r = -2 + -r

-px - 8x = -r - 2

Step 3: Factor out variable x.

x(-p - 8) = -r - 2

Step 4: Divide both sides by -p - 8.

x(-p - 8) = -r - 2

-p - 8 -p - 8

Answer

x = r + 2

p + 8

Answer:

B, C ,E

Step-by-step explanation:

B <2 = <6  they are alternate interior angles

C <1 + <6 = 180  <1 + 75 = 180  and 75 and <6 are equal because they are corresponding angle so <1 + <6 = 180

E x = 120

<1 + <6 = 180

<1 + 75 = 180

<1 = 105

<1 =x-15

105 = x-15

Add 15

120 =x

Answer:

The answer is number B:34 cm

The bottom is 10, 10 - 3 - 3 (the sides on top) = 4 so we know the middle part is 4.

We know that both of the "small ups" are 2 and the "longer ups" are 5.

Adding this altogether we get:

3 + 3 + 2 + 2 + 4 + 10 + 5 + 5 =

6 + 4 + 4 + 10 + 10 =

10 + 4 + 20 =

14 + 20 =

= 34

So our answer is B. 34 cm

Hope this helps, have a nice day! :D

(I answered in the comments, but one was deleted so I am answering this here too!)

Answer:

The hypotenuse.

Step-by-step explanation:

There are 3 cases to consider when determining horizontal asymptotes:

1) Case 1: if: degree of numerator < degree of denominator. then: horizontal asymptote: y = 0 (x-axis)

2) Case 2: if: degree of numerator = degree of denominator.

3) Case 3: if: degree of numerator > degree of denominator.

Answer:

\(Slope (m) = -\frac{2}{3}\)

Step-by-step explanation:

To find the slope of the line of the graph, pick any 2 points on the line as your coordinate pairs.

Thus, on the line, let's pick 2 points as our coordinate pairs at:

When x = -6, y = 5 => (-6, 5), and

When x = 3, y = -1 => (3, -1)

Let (-6, 5) be (x1, y1), and (3, -1) be (x2, y2)

\( Slope (m) = \frac{y2 - y1}{x2 - x1} \)

\( Slope (m) = \frac{-1 - 5}{3 - (-6)} \)

\( Slope (m) = \frac{-1 - 5}{3 + 6} \)

\( Slope (m) = \frac{-6}{9} \)

\(Slope (m) = -\frac{2}{3}\)

The solution to the equation √3x+4=4 is x=4, which corresponds to option B.

To solve the equation √(3x+4)=4, we can begin by isolating the radical expression on one side of the equation. We can do this by squaring both sides of the equation, which will eliminate the radical sign:

(√(3x+4))^2 = 4^2

Simplifying the left side of the equation, we get:

3x+4 = 16

Subtracting 4 from both sides, we get:

3x = 12

Dividing both sides by 3, we get:

x = 4

To check whether the solution we obtained is valid, we can substitute it back into the original equation and verify that it satisfies the equation. In this case, we can substitute x=4 into the original equation and verify that √(3x+4)=4 is indeed true, confirming that x=4 is the valid solution.

Therefore, Correct option is B.

To learn more about equations click on,

https://brainly.com/question/17443502

#SPJ4

Therefore, it can be seen that the CIA profit/loss is $111,878.

Borrow $4 million in USD at the 4-month interest rate of 2.9%.

Convert the USD to CAD at the spot rate of 1.278 CAD/USD.

Invest the CAD in a 4-month Canadian deposit account at the 4.7% interest rate.

Sell the CAD forward at the 4-month forward rate of 1.2902 CAD/USD.

After 4 months, repay the USD loan and settle the forward contract.

The profit/loss from the CIA strategy is calculated as follows:

Profit/loss = (Interest earned on CAD deposit - Interest paid on USD loan) - (Forward rate - Spot rate)

In this case, the profit/loss is calculated as follows:

Profit/loss = (0.047 * 4,000,000 - 0.029 * 4,000,000) - (1.2902 - 1.278)

= $112,000 - $0.12

= $111,878

Therefore, the CIA profit/loss is $111,878.

Read more about profit/loss here:

https://brainly.com/question/26483369

#SPJ1

Where the above humanities terms are give, the matches for the labels you provided are given below.

With regard to the above terms, note that under the Articles of Confederation, the federal government had the power to run the post office, declare war, and negotiate with foreign powers.

The states had the power to exercise all other powers not specifically mentioned in the document, collect taxes, and control the militia.

Learn more about humanities at:

https://brainly.com/question/24202656

#SPJ1