2) A music store is offering piano lessons for $78 per month. A piano book costs
$25. How many months of lessons could a student take if he had $649 to spend on
the lessons and book?
Variable:
means:

Answers

Answer 1

The student can take 8 months of lessons if he has $649 to spend on lessons and the book.

Describe Division?

The arithmetic action of division is the opposite of multiplication. It is employed to determine how frequently one quantity is included within another. Divide the dividend by the divisor to execute a division, which can be represented with the division symbol () or a fraction bar (/). The outcome of division is the quotient, which shows how many times the dividend can be divided by the divisor. For instance, if you divide 8 apples into 4 equal portions, each portion would include 2 apples.

First, let's find the total cost of the lessons by multiplying the cost per month by the number of months:

$78/month × n months = $78n, where n is the number of months of lessons.

Next, we add the cost of the book to find the total cost:

$78n + $25 = $649.

Now, we can solve for n by subtracting the cost of the book from both sides of the equation:

$78n = $649 - $25 = $624.

Finally, we divide both sides of the equation by 78 to find the number of months of lessons:

n = $624 ÷ $78/month = 8 months.

So, the student can take 8 months of lessons if he has $649 to spend on lessons and the book.

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Related Questions

Write the equation of the line through (2,15) and (-4,9)

Answers

The line through (2,15) and (-4,9) has the equation y = x - 13 whereas the slope or m is 1.

what is equation ?

The statistic is said to be in this simplest form when subdivided into its smallest analogous fraction. How to do to find the most basic form. Look for common factors in the denominators and numerators. Evaluate a fractional integer to verify if this one passes as a prime number. A assertion having two equal sides and an equal sign in the middle is called an equation in mathematics. The normal form of a linear function is an x + b = 0. The general form of a linear equation with two variables is an x + b y + c = 0. (or something similar). Inequalities can be categorized as identities or conditional equations. An identity holds true no matter what value is given to the variables.

given

point slope form = (y - y1 ) = m( x - x1 )

points are = (2,15) and (-4,9)

m = y2 - y1 / x2 - x1

= -6 / -6

m = 1

equation = y - 15 = 1 ( x - 2 )

y = x - 2 + 15

The line through (2,15) and (-4,9) has the equation y = x - 13 whereas the slope or m is 1.

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23150 is bigger than what?

Answers

Every number from 0 to 23149

If 20% of x = y, what is the value of y% of 20 in terms of x?

Answers

Answer:

Step-by-step explanation:

adam 7.5 to 634

fill in using the quadratic formula

Answers

Step-by-step explanation:

[tex]x = \frac{ - (b) \frac{ + }{} \sqrt{ {(b)}^{2} - 4(a)(c) } }{2(a)} [/tex]

3 cm
Figure A
cm
2 cm
3 cm
2 cm
(a) Which figures are squares?
Mark all that apply.
Figure A
Figure B
(b) Which figures are rectangles?
Mark all that apply.
Figure A
Figure B
(c) Which figures are parallelograms?
Mark all that apply.
Figure A
Figure B
Figure C
Figure C
Figure C
Figure B
4 cm
4 cm
2 cm
None of the figures
None of the figures
None of the figures
2 cm
X
Figure C
r
2 cm
2 cm
2 cm

Answers

Answer:

(a) Figure A is a square.

(b) Figure A and Figure B are rectangles.

(c) Figure A, Figure B, and Figure C are parallelograms.

Step-by-step explanation:

what is the position of the median where marks:18,27,32,40,46 and no. of students:2,3,10,9,5​

Answers

Answer: 9, 9, 9, 10, 2

Step-by-step explanation:18/9 = 2 students

                                            27/9 = 3 students

                                            32/9 = 4 students

                                            40/10 = 4 students

                                            46/2 = 23 students

Consider the function g(x)=^3√x+2

Which ordered pair lies on the inverse of the function?
(−1,−3)
(−4,−1)
(3, 1)
(0,−1)

Answers

The ordered pair that lies on the inverse of the function is (-1, -3)

Which ordered pair lies on the inverse of the function?

From the question, we have the following parameters that can be used in our computation:

g(x)=^3√x+2


Rewrite as

g(x) = ∛(x + 2)

Next, we test the options

Set x = -3

So, we have the following representation

g(-3) = ∛(-3 + 2)

Evaluate the expression

g(-3) = -1

As an ordered pair, we have (-1, -3)

So, the ordered pair of teh inverse is (-1, -3)

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Answer: -1,-3

Step-by-step explanation:

what is the surface area of this figure ? ( step by step ) i can’t figure it out .

Answers

Answer: 108 cm. (Squared)

Step-by-step explanation:

Top/Bottom: 7 x 3 = 21 / 2 = 10.5 x 2 = 21

Small Side: 3 x 5 = 15

Medium/Back Side: 5 x 7 = 35

Large Side: 7.6 x 5 = 38

21 + 15 + 35 + 38 = 108

Mr. Macdonald has 480 animals on his farm . 0.5 of the animals arecows 1/8 are goats The remainder of the Animals are chickens and ducks if 33 1/3% are chickens how many ducks are on the farm?

Answers

Answer:

120

Step-by-step explanation:

480 total

1/2 = 240 are cows

1/8 = 60 are goats

remaining = 480-240-60 = 180 are chickens & ducks

33.3333% of 180 = chickens  =180/3 = 60 chickens

so ducks = 180-60 =120

Answer:

120

Step-by-step explanation:

given that out of 480 animals 0.5 of the animals are cows . So ,

no. of cows = 0.5*480 = 240

Again, we are given that 1/8 of the animals are goats , so the number of goats would be ,

no. of goats = 1/8*480 = 60

Total no. of goats and cows ,

= 240 + 60 = 300

No. of remaining animals= 480 -300 = 180

Now out of these 180 animals 33⅓ % animals are chickens and remaining are ducks.

Percentage of ducks = (100 - 33⅓ )% = 66.67%

So the number of ducks would be ,

180 * 66.67/100 = 120

And we are done!

Which graph is the piece-wise function defined by 9x7+9

Answers

The piece-wise function defined by 9x7+9 is added as an attachment

How to determine the graph of the function

From the question, we have the following parameters that can be used in our computation:

9x7+9


Express properly

So, we have

y = 9x^7+9

The above expression is a polynomial expression

Next, we represent on a graph (see attachment)

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888 with a subscript of 9 plus 555 with a subscript of 6 plus 222 with subscript of 3 is equivalent to. What number with a subscript of 12?​

Please Explain how you answered the question.

Answers

The number with a subscript of 12 or number base 12 that is equal to 888₉ + 555₆ + 222₂ is 689.

What is the sum of the given numbers in base ten?

Using the number base conversion system,  the sum of the given numbers in base ten is determined as follows:

888₉ + 555₆ + 222₂ = X₁₂

888₉ = 8 * 9² + 8 * 9¹ + 8 * 9⁰

888₉ = 728

555₆ = 5 * 6² + 5 * 6¹+ 5 * 6⁰

555₆ = 215

222₃ = 2 * 3² + 2 * 3¹ + 2 * 3⁰

222₃ = 26

888₉ + 555₆ + 222₂ = 728 + 215 + 26

888₉ + 555₆ + 222₂ = 969

969 = X₁₂

969 = 689₁₂

Hence, X = 689

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How much of the circle is shaded? Write your answer as a fraction in simplest form.
1
4
1
6

Answers

I don’t see the circle

5. Each of the letters of the word 'SUCCESS' is written on a card and all the cards are placed into a bag. A card is randomly selected from the bag. Find the probability that the card bears:
(a) the letter 'S'
(b) a vowel
(c) letter 'A'

Answers

Answer: look at the image for the answer, and give me brainliest

Step-by-step explanation:

Answer:

(a) 3/7

(b) 2/7

(c) 0 or Impossible

Step-by-step explanation:

(a) There are seven letters in total. Three of the letters are s. Therefore out of the seven cards, three are the letter s. - 3/7

(b) Again there are seven letters in total. Two of the letters are vowels. Therefore out of the seven cards, two are vowels. - 2/7

(c) Yet again there are seven letters in total. None of the letters are a. Therefore out of the seven cards, none are the letter a. It is impossible to get the letter a - 0/7

Hope this helps :)

Jamila deposits $800 in an account that earns yearly simple interest at a rate of 2. 65%. How much money is in the account after 3 years and 9 months? Show your work

Answers

Division 800divided by 3

In 14 days, Lin's sister will be paid $430 and will deposit it into her checking account. If there are no other transactions besides this deposit and the daily fee, will Lin continue to be charged $5.95 each day after this deposit is made? Explain or show your reasoning.

Answers

The equation, fine is $5*86 = 430so 430-430 = 0, Lin's account balance is much above zero (0), so she won't be charged $5.95 each day.

What is equation?

A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.

Lin's sister will be paid $430

here are no other transactions besides this deposit and the daily fee

since fine is $5*86 = 430

so 430-430 = 0

hence,

Lin's account balance is much above zero (0), so she won't be charged $5.95 each day. However, if her account balance were to drop below zero, she would be charged for any further daily deposits made.

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A jacket is reduced in a sale by 20%. A customer has a
loyalty card for a further 10% off the price.
What is the total percentage reduction in the price of the jacket

Answers

x = original price for the jacket

now, let's reduce it by 20%, so hmmm that means the new price is really 100% - 20% = 80% of the original price, how much is that?

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{80\% of x}}{\left( \cfrac{80}{100} \right)x}\implies 0.8x[/tex]

now, from that new price, let's reduce it by 10%, that means the newer price will be 100% - 10% = 90% of this new price of 0.8x, so

[tex]\stackrel{\textit{90\% of 0.8x}}{\left( \cfrac{90}{100} \right)0.8x}\implies 0.72x\hspace{5em}\stackrel{\textit{72\% of the orignal price}}{\textit{a reduction of 28\%}}[/tex]

What two numbers has a sum of 9 and a product of 30

Answers

explanation: In order to find what two numbers have a Product and Sum write down what you know initially.

Let's assume the values we need to find are x, y whose product and sum are known.

Write the given data in the form of equations.

By using basic substitution, you will get an expression from which you can find the values easily.

If you aren't sure whether the results arrived are accurate or not cross-check the results obtained in the equations framed with input data.

Sum of two numbers = 24

Let's consider the numbers we need to find as x and y

To solve the problem x.y = 44

x+y = 24

y=24-x

Replace the value of y in the equation x.y=44. It's not necessarily y if you want you can interchange with the value of x too as x and y are interchangeable. . (24-x)=44

On solving the equation we get two numbers as 2 and 22

That's it the two numbers whose product is 44 and the sum is 24 are 2, 22. so you should be able to do the same with your question hope that helps!

HELPS ASAP, 100 POINTS, WILL GIVE BRAINLIEST,

Carrie flipped a fair coin twice 240 times and recorded the results in the table.


Outcome Heads, Heads Heads, Tails Tails, Heads Tails, Tails
Frequency 60 73 63 44

If the coin is flipped 240 times, determine P(tails, tails).
18.3%
25%
44.8%
50.0%

Answers

Answer:

Below

Step-by-step explanation:

She got   T-T    44 times out of 240 tries  ( if I read your post correctly)

44/240 = .183    which is 18.3 %

Answer:

18.3%

Step-by-step explanation:

got it right evidence below

Carrie flipped a fair coin twice 240 times and recorded the results in the table.

Outcome Heads, Heads Heads, Tails Tails, Heads Tails, Tails

Frequency 60 73 63 44

If the coin is flipped 240 times, determine P(tails, tails).

18.3%

25%

44.8%

50.0%

Points earned on this question: 2

G = -10× + 100 + 44/×
interpret G

Answers

The expression for G will be written as G = (-10x² + 100x + 44 ) / x.

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that the expression is G = -10× + 100 + 44/×. The expression for G will be calculated as:-

G = -10× + 100 + 44/×

Take LCM of x and solve,

G = -10× + 100 + 44/×

G = (-10x² + 100x + 44 ) / x.

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Explain the answer 2425÷ 45. Make sure that you are very detailed in YOUR explanation.

Answers

2425÷ 45 can be solved by using long division. The first step is to divide the first number (2425) by the divisor (45). The result, 54, is the first number in the answer.

What does math's long division mean?

The mathematical operation of breaking up huge numbers into several smaller groups or sections is known as long division. The number we divide by is known as the divisor, and the number we divide into smaller groups is known as the dividend. A problem can be handled by breaking it down into smaller, more manageable parts.

Next, subtract 54 x 45 (2430) from 2425, which leaves a remainder of -5.

To continue long division, we bring down the next number in the dividend (2425), which is a 5. Next, divide the remainder (-5) by the divisor (45). The result, -1/9, is the second number in the answer.

Finally, subtract -1/9 x 45 (-5) from the remainder (-5), which leaves a remainder of 0. The answer is 54 1/9.

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During a single day at radio station WMZH, the probability that a particular song is played is 42%. What is the probability that this song will be played on at least 3 days out of 6 days? Round your answer to the nearest thousandth.

Answers

Answer:

0.543 or 54.3%

Step-by-step explanation:

This is an example of a binomial distribution, where the probability of success (playing the particular song) is 0.42, and the number of trials is 6.

To find the probability that the song will be played on at least 3 days out of 6, we need to calculate the probability of the song being played on 3, 4, 5, or 6 days.

Using a binomial probability calculator or formula, we can calculate these individual probabilities:

Probability of the song being played on 3 days out of 6: 0.308

Probability of the song being played on 4 days out of 6: 0.177

Probability of the song being played on 5 days out of 6: 0.052

Probability of the song being played on all 6 days: 0.006

To get the probability of the song being played on at least 3 days out of 6, we add these individual probabilities together:

0.308 + 0.177 + 0.052 + 0.006 = 0.543

Therefore, the probability that the song will be played on at least 3 days out of 6 is 0.543 or 54.3% (rounded to the nearest thousandth).

Solve 4(-1+2)-3=-1 Check your solution

Answers

Solving the equation:

4(-1 + 2) - 3 = -1
4(1) - 3 = -1
4 - 3 = -1
1 = -1

The solution is incorrect, as 1 does not equal -1. So, the equation 4(-1+2)-3=-1 does not hold true.

Answer:

1

Step-by-step explanation:

4(-1+2)-3 note: -1+2 is basically 2-1 thus 1

4(1)-3

4-3

1

terms and coefficients in -x-x²

Answers

Answer:

Step-by-step explanation:

We are given with expression -x-x^2

In this expression terms are -x and -x^2

and the coefficient of x is -1 and x^2 is -1

Helen has 90 stamps. The number of stamps that Helen has is 25% more than Peggy has. Find the number of stamps Peggy has.

Answers

Answer: 67.5

Step-by-Step:

If Helen has 90 stamps, then 50% of what she has is 45 stamps.  Half of 45 is 22.5 which is 25% of what Helen has. To find out how many stamps Peggy has, we'll have to do 90 - 22.5 which is 67.5.

How much more hourly wages does destiny make than Stephanie?

Answers

Destiny makes $(x - y) more than Stephanie.

What are algebraic expressions?

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given are the hourly wages of destiny make and Stephanie.

Assume that the hourly wages of Destiny are ${x} and than of Stephanie are ${y}. Let Stephanie make ${z} more than Destiny. So we can write -

z = x - y

Therefore, Destiny makes $(x - y) more than Stephanie.

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Wildlife conservationists want to estimate the deer population in a region. They place an identifying tag on 220 deer. Several months later, researchers investigate 8 samples of 50 deer and record how many have a tag. Based on these results, how many deer should they estimate live in the region?

Answers

The estimated deer population live in the region is calculated as:

N = (2 * 220 * 50) / x

Estimate Deer Population

One method to estimate the deer population is by using the Lincoln-Petersen index, which is calculated as:

N = (2 * tagged deer count * sample size) / (number of tagged deer in the sample).

Using the data you provided, the number of tagged deer in the 8 samples is the sum of all the tagged deer counted in each sample, let's call this sum "x". Then, the estimated deer population in the region is calculated as:

N = (2 * 220 * 50) / x

Since the actual value of x is unknown, we cannot calculate the exact population. But, this formula gives us a method to estimate the population based on the number of tagged deer found in future samples.

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Write a formula that can help you find the measure of each individual exterior angle in any polygon.

Answers

Answer:

Step-by-step explanation:

The measure of each individual exterior angle in a polygon can be found using the following formula:

Exterior angle measure = 360° / number of sides

This formula assumes that the polygon is a regular polygon, meaning that all sides are of equal length and all interior angles are congruent. For an irregular polygon, the exterior angle measures will vary.

see photo below, thank you!!

Answers

The statements that are true are:

The x-coordinate of the solution is 1.

The y-coordinate of the solution is -1.

What is the Solution to a System of Equations that is Graphed?

The solution to a system of equations that is graphed is the point at which the two lines intersect. The coordinates of the intersection point are the solution to the system of equations.

In other words, if we have two lines represented by two linear equations, the solution to the system of equations is the point where the two lines intersect. This point is unique and it satisfies both equations simultaneously.

Therefore, the graph shows that both lines intercept at (1, -1). Therefore, the statements that will be true are:

The x-coordinate of the solution is 1.

The y-coordinate of the solution is -1.

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based on her electric bills from last year, mrs. smith expects she will be paying $75/month this year. this is an example of descriptive statistics. group of answer choices false true

Answers

The statement 'Based on her electric bills from last year, Mrs. smith expects she will be paying $75/month this year' is not an example of descriptive statistics.

What is Descriptive statistics:

Descriptive statistics is a branch of statistics that are used to characterize the features of a sample by using quantitative techniques.  

Descriptive statistics can help to provide simple descriptions of the observations by using measures of Central Tendency like mean, variance, median, charts, etc...  

Data with one variable are described using univariate descriptive statistics. On the other hand, data with several variables are described using bivariate and multivariate descriptive statistics.  

The two categories of descriptive statistics are Measures of central tendency and measures of dispersion, which are used to summarize the characteristics of grouped and ungrouped data.  

Measures of central tendency are Mean, Median, and Mode, where Measures of Dispersion are Range, Variance, Standard Deviation, Mean Deviation, etc.

Here we have

Based on her electric bills from last year, Mrs. smith expects she will be paying $75/month this year.

The above statement is a prediction according to previous data but it will not represent any sample data or any other data.  

Therefore,

The statement 'Based on her electric bills from last year, Mrs. smith expects she will be paying $75/month this year' is not an example of descriptive statistics.

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The length is 4cm and the width is 6cm and has a semi circle what is the area

Answers

Answer:

The area of a rectangle with length 4 cm and width 6 cm is 24 square cm. To find the area of a semi-circle, we use the formula for the area of a circle and divide by 2. The formula for the area of a circle is πr^2, where r is the radius. The radius of the semi-circle is half the width of the rectangle, so r = 6/2 = 3 cm. Thus, the area of the semi-circle is π(3^2) = 9π square cm.

The total area of the figure would be the sum of the area of the rectangle and the semi-circle, so the answer would be 24 + 9π square cm.

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