Megan's text messaging plan costs $15 for the first 500 messages and 5¢ for each additional text message. If she owes $21.55 for text messaging in the month of May, how many text messages did she send that month?

Answer:

Step-by-step explanation:

Using measures of variability, it is found that:

a. The situations with constant measures involve constant distributions, such as the number of snow days in Miami each year.

b. The situations with different measures involve constant distributions, such as the number of snow days in Buffalo each year.

There are three measures of variability in a data-set: the range, the standard deviation and the variance.

The range is given by the difference between the maximum value and the minimum value of a data-set.

The standard deviation and the variance are described as follows:

Uniform(constants) data-sets will have similar measures. One example is the number of snow days in Miami each year, which is always of 0, hence the three measures will be of 0.

More disperse data-set will have different measures. Taking the city of Buffalo, in New York, as an example. On average, it should have 40 days of snow each winter, but on colder winters it can have 60 and warmer winters it can have 20. Hence the distribution with the number of snow days in Buffalo over a period of 20 years will have different range, standard deviation and variances.

More can be learned about measures of variability at https://brainly.com/question/13154114

#SPJ1

Based on the given scale, the number, 1, on the number line would best be represented by the number A. 8/8.

Based on the first number given which is 1/8, we know that the scale is such that the denominator would be 8.

The best way to write 1 would therefore be to express it in terms of a ratio with 8 being the denominator.

That would mean that 1 would be 8/8 which results in 1.

Find out more on number line scales at https://brainly.com/question/13458485

#SPJ1

Answer:

Step-by-step explanation:

Drone nerds will get 15 Mavic air 2's for $23196.192 after offering a chain discount of 6/4/3.

Chain discount is the series of discounts that are offered from the list price of an object when bought from a store.

A general example of a 10/5 chain discount denotes that there will be a series of discounts on the list price. First a discount of 10% is awarded on the list price then a further 5% on the reduced price.

The List price of the drones is $26500.

Chain discount=6/4/3

So the first discount received is 6% on the $26500.

Price after the first discount=26500- 6%of 26500

Simplifying we get

[tex]=26500-.06\times26500\\=24910[/tex]

The price after the first discount is $24910

Now we will apply the 4% discount on $24910

Price after second discount=24910-4% of 24910

=$23913.60

Now we apply the third discount

Price after third discount is=23913.60-3%of 23913.60

=$23196.192

To learn more about chain discount:

https://brainly.com/question/3393062

#SPJ9

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

Explanation:

x = cost of one dinner

4x = cost of four dinners

50-4x = the difference in the cost of $50 vs 4x dollars

To ensure this difference is never negative, we use absolute value to form the expression |50-4x|

Set this equal to 5 since we want this distance or difference to be 5 units above or below 50

|50-4x| = 5

|50 - 4x| - 5 = 0

Answer:

l 50 - 4x l - 5 = 0

Step-by-step explanation:

Answer:

Average= [tex]\frac{25}{72}[/tex]

Step-by-step explanation:

o find the average add up the values and divide the sum by the number of values.

Rewriting all values as fractions, rewriting any negatives if necessary and, setting up as an addition problem

The least common denominator (LCD) is: 24.

Rewriting as equivalent fractions with the LCD:

Rewriting numerators over the common denominator,

Totaling the numerator:

= [tex]\frac{25}{24}[/tex]

Dividing by the number of values: 3

[tex]\frac{25}{24}[/tex] ÷3 =[tex]\frac{25}{24}[/tex] ×[tex]\frac{1}{3}[/tex] = [tex]\frac{25}{72}[/tex]

Average of the fractions is:

Average= [tex]\frac{25}{72}[/tex]

Answer:

7=37

Step-by-step explanation:

no solution problem

Answer:

False

Step-by-step explanation:

there are total 17+17=34 orange and red marbles
34/100 is 34%, not 17%

Answer:

Step-by-step explanation:

sin(A)=2/5

[tex]cos^2(A) +sin^2(A)=1\\cos^2(A)+[\frac{2}{5}]^2=1\\cos^2(A)+\frac{4}{25}=1\\ cos^2(A)=1-\frac{4}{25}\\ cos^2(A)=\frac{21}{25}\\ cosA=\frac{\sqrt{21} }{5}[/tex]

Answer:

a=A/8

Step-by-step explanation:

This MIGHT be the answer, I am 99% sure!

Use of open number line is

7 boxes of cherry tarts

Each box has 8 cherry tarts.

Total cheny tarts is

[tex]$$7 \times 8=7+7+7+7+7+7+7+7$$[/tex]

A straight line of numbers is shown visually as a number line. This line is used to compare integers on an endless line that extends on both sides, either horizontally or vertically, at equal intervals. On a horizontal number line, the numbers grow as we walk to the right and drop as we move to the left.

A number line is a visual depiction of numbers on a straight line drawn either horizontally or vertically. It is simple for humans to compare numbers and carry out simple arithmetic operations on them when they are written down on a number line. A number line is said to begin at zero (0). Left of zero, there are only negative numbers, and right of zero, there are only positive numbers. So, on a number line, we may say that the value of numbers grows as we travel to the right. This indicates that there are more numbers on the right than on the left.

To learn more about number line visit: https://brainly.com/question/7352552

#SPJ9

Answer:

It's answer is..-2/7 and -1/3

The equation that represents Diego's cash flow is cash flow = $3,000-$2,715.

Cash flow is the difference between cash inflows and cash outflows. Cash inflow are additions to the cash flow. An example of cash inflow is monthly income. Cash outflow would reduce the cash flow. An example of cash inflow is expenses.

Cash inflow = income - expense

$3,000 - $2,715

To learn more about cash flows, please check: https://brainly.com/question/28238360

#SPJ1

The polynomial function is V(x) = x^3 - 7x^2 + 10x and domain of x is (5,6]

Here we are given that the length of the box is x

Also, the width of the box should be 5 feet shorter than the length

Thus, width = x - 5

and the height should be 3 feet longer than the width

Thus, height = x - 5 + 3

= x - 2

Now the volume of the box = length × width × height

Volume = x (x-5) (x-2)

V(x) = (x^2 - 5x) (x-2)

V(x) = x^3 - 2x^2 - 5x^2 + 10x

V(x) = x^3 - 7x^2 + 10x

Now, looking at the options, we see that option C is eliminated.

Now, let us look at the domain of x

Since width cannot be negative (x-5) > 0

⇒ x > 5

Now in option A domain is (0, 6], but x cannot take values from (0,5). Thus, option A is eliminated.

Similarly, we can eliminate option B also since x cannot take values from (0, 2)

Thus, option 4 is the correct answer.

Learn more about domain here-

https://brainly.com/question/26098895

#SPJ9

Your question was incomplete. Check for the missing options below, in the figure attached.

Answer: -21

Step-by-step explanation:

Answer:

For the first question:

For the second question:

Step-by-step explanation:

Hope it helps! =D

Answer:

I think it is -5

Step-by-step explanation:

The geometric transformation which will not  produce the image ∆A'B'C' is an option (B) reflection across the x-axis followed by a reflection across the y-axis

In this question, we have been given a triangle ABC and the transformed triangle A'B'C'

Also, in the graph the first triangle is at A(-3, 0), B(-2, 3), C(- 1, 1) and the Second triangle is at A prime (0, -3), B prime (3, -2), C prime (1, -1).

Consider the graph as shown below.

From the coordinates of vertex of triangle ABC and triangle A'B'C' we can observe that,

A(-3, 0) -> A'(0, -3)

B(-2, 3) -> B'(3, -2)

C(-1, 1) -> C'(1, -1)

For each vertex,

x coordinate of triangle ABC = y coordinate of triangle A'B'C'

and y coordinate of triangle ABC = x coordinate of triangle A'B'C'

This means, the geometric transformation of triangle ABC is reflection across the line y = x

But the reflection across the x-axis followed by a reflection across the y-axis.

Therefore, the geometric transformation which will not  produce the image ∆A'B'C' is an option (B) reflection across the x-axis followed by a reflection across the y-axis

Learn more about the transformation here:

https://brainly.com/question/14043032

#SPJ1

Answer:The answer is 425

Step-by-step explanation:

The missing side of the figure if the perimeter is 35 2/3 cm, is calculated as: 10.9 cm.

The perimeter of a figure is the total length surrounding the figure.

We are given that the figure shown below has a perimeter of 35 2/3 cm, which means all the total length of all its sides equals 35 2/3 cm.

To find the missing length, sum all the given lengths and subtract it from the perimeter of the figure.

Sum of all the given lengths =  4 3/4 + 3 1/2 + 1 1/3 + 1 1/3 + 3 1/2 + 9.25 + 6.6 = 4.75 + 2.3 + 1.3 + 1.3 + 2.3 + 9.25 + 6.6

Sum of all the given lengths =  27.8 cm

The missing side = 38 2/3 - 27.8 = 38.7 - 27.8

The missing side = 10.9 cm.

Learn more about perimeter of a figure on:

https://brainly.com/question/22447290

#SPJ1

Answer:

1.05 dollars per popsicle

Step-by-step explanation:

x is the price per popsicle. In order for you to make 6 dollars of profit, each box is going to cost 10.50 dollars because 4.50 is your amount of expenses.  

Profie= revenue-expenses

6= revenue-4.5

revenue=10.5

If you charge 10.5 per box, and each box has 10 popsicles, then one popsicle is 10.5/10=1.05 dollars per popsicle.

The value of the expression 2x - 17 is 3

The expression is given as

-3x + 6 = -24

Subtract 6 from both sides

-3x = -30

Divide both sides by -3

x = 10

Multiply by 2

2x = 20

Subtract 17 from the sides

2x - 17 = 3

Hence, the value of the expression 2x - 17 is 3

Read more about expressions at:

https://brainly.com/question/723406

#SPJ1

The sum of the given infinite geometric series is; 32

The general formula for finding the sum of an infinite geometric series is s = a₁/(1 - r)

where;

s is the sum

a₁ is the first term of the series

r is the common ratio.

To find the common ratio, use the formula: r = a2⁄a1

where a2 is the second term in the series and a1 is the first term in the series.

Thus;

r = 2²/4²

r = 1/2

Thus;

S = 4²/(1 - 1/2)

S = 16/(1/2)

S = 32

Read more about Sum of Geometric Series at; https://brainly.com/question/24643676

#SPJ1

The answer is 24 - 22i

The answer we got is a complex number.

We are asked to find out the multiplication of a complex number and a real number.

The general form of a complex number is a + bi.

If we need to find the product of a complex number and a real number,

then, we need to multiply the real and imaginary parts by the real number and write down the answer.

The real number given is 2.

And the complex number given is 12 - 11i.

The real part of the complex number is 12.

And the imaginary part of the complex number is -11.

When the real part of the complex number is multiplied by the real number, we get 12 × 2 = 24.

When the imaginary part of the complex number is multiplied by the real number, we get (-11) × 2 = -22

Therefore, the required complex number is 24 - 22i

Learn more at:

https://brainly.com/question/26125074

#SPJ9

The value of st is 30.4

As S is the point in RT, it implies that RS+st=Rt. Therefore according to the question,

3x+6x-5=58

⟹9x=58-5

or

9x=53

⟹x=5.9

RS = 3×5.9=17.7

st=(6×5.9)-5=35.4-5=30.4

Learn more about finding values here:

https://brainly.com/question/5685820

#SPJ9

Answer:

Lets say a CD costs a 100 dollars (which it obviosly doesn't)

No matter whether we do the discount before or after tax, it'll end up costing 84 dollars to by the CD.

80% of 100 = 80

80 * 1.05 = 84

80% of 105 = 84

The order in which he does the discount and the tax doesn't matter.

Hope this helps.

Answer:

Step-by-step explanation: