You get your hair cut at a shop that charges $30. They offer you a deal: If you prepay $150 for five haircuts, they'll give you a punch card that entitles you to a sixth haircut free. The punch cared expires in one year. Is this a good deal?

Answers

Answer 1

yes, it is a good deal as long as you use the card before a year.

Is this a good deal?

Let's see how much you will save if you pay the $150.

If you want 6 hair cuts, you need to pay $30 6 times, so the total cost will be:

C = $30*6 = $180

If instead, you prepay $150, then you get the 6 cuts only for $150, saving a total of $30 (but the downpayment is 5 times larger than in the other case), but only if you plan to use the punch card for the other cut in the year, if you don't then this option does not make sense.

So, yes, it is a good deal as long as you use the card before a year.

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Related Questions

In the right triangle shown, m\angle J = 60^\circm∠J=60

m, angle, J, equals, 60, degrees and JL = 6\sqrt{3}JL=6
3

J, L, equals, 6, square root of, 3, end square root.

Answers

The  length of JK = 3√3

What is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between the sides and angles of triangles.

Given:

angle = 60

JL = 6√3

JK= x

Now, using trigonometry

cos [tex]\theta[/tex] = B/ H

cos 60 = x/ 6√3

1/2= x/ 6√3

x= 6√3/2

x= 3√3

Hence, the length of JK = 3√3

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Solve. Check for extraneous solutions. 5-2 √x=3

Answers

No extraneous solution.

We have to find the extraneous solution to the equation:

5 - 2[tex]\sqrt{x}[/tex] = 3

Now we have to find the value of x.

2[tex]\sqrt{x}[/tex] = 2

[tex]\sqrt{x}[/tex] = 1

x = 1

Now we have to put the value of x in the equation

5 - 2[tex]\sqrt{1}[/tex] = 3

5 - 2 = 3

3 = 3

Therefore we get no extraneous solution to the equation. x = 1 is the solution of the equation.

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What are the solutions of each equation? Check your answers.

(c). ln 2 x+ln 3=2

Answers

According to the question, to write the solution for the logarithmic function, the concept of indices is also needed.

Therefore, the given expression is [tex]ln2+ln3=2[/tex]

The values get multiplied in addition. Therefore, the above expression can be written as:

Expression = [tex]ln(6)=2[/tex]

Using logarithmic definition, we can write:

[tex]6 = e^{2}\\e = \sqrt{6},-\sqrt{6}[/tex]

The solution for the given expression is [tex]e = \sqrt{6},-\sqrt{6}[/tex]

What is logarithmic function?

In terms of mathematics, the logarithmic function can be defined as the inverse of exponential function. It is always on the positive side of the ordinate axis.

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House prices increased 13% between 1994 and 1996. How much would a house be worth
in 1996, if it cost £134,500 in 1994?

Answers

100 + 13 = 113%

113% = 1.13 as decimal

134500 x 1.13 = 151985

Ans: £151,985

GEOMETRY HONORS
Answer Options:
Valid: Law of Detachment
Valid: Law of Syllogism
No Valid Conclusions

All questions(17-21) must be answered, thank you all so muchhh
PLEASE ANSWER ASAP

Answers

16.  Valid

Reason: congruency can be represented by the symbol ≅ hence  the statement still reads <1 and <2 are congruent.

17. Invalid

Reason: A rectangle also has four right angles, It is only a square when all the sides are equal.

18. Valid

Reason: congruency can be represented by the symbol ≅ hence the statement still reads <JKM and <MKL are congruent.

19. Valid

Reason: The conclusion of the battery dying is in support with the premise given which is, leaving the light on when the car is off.

20.Valid

Reason: The conclusion, Dante obtained a part time job is in line with the premise that obtaining a pert time job, is a way to afford a car payment

21. Valid

Reason: The premise which has that selling 75% of the prom tickets will make the prom hold at country club is fulfilled, hence the prom will be held at the country club

What are valid arguments?

An argument is valid when the premises or conditions of the argument are all true. When the conclusion supports the premises then conclusion is valid.

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George jumps off a tire swing into a circular pond causing circles of waves. One of the waves travels at a rate of 16 ft/sec.
b. The area of the circle depends on the radius. Write an equation to represent this relationship.

Answers

The equation representing the relationship between the area of the circle and the radius is given by A = π ( r + 16 )².

Area of a circle is that the region lined or fence like inside its boundary. it's measured in square units.Any geometrical form has its own space. This space is that the region that occupies the form in an exceedingly two-dimensional plane.

We are given that:

Waves travels at a rate of 16 feet / second.

Now, let the radius of circle be r.

Now, we know that the area of a circle is given by:

A = π r²

Now, radius increases by 16 feet every second.

So, the equation of the area will become:

A = π ( r + 16 )²

Therefore, the equation representing the relationship between the area of the circle and the radius is given by A = π ( r + 16 )².

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9. Suppose the shipping company were packing balls with a diameter of
2 inches instead of cubes. Would the large box hold more balls or
fewer balls than boxes? Explain your answer.

Answers

Larger boxes may hold more or fewer balls than smaller ones. The answer to this question must be a sphere because they have the lowest volume value.

What exactly do you mean by volume?

Volume is the quantity of three-dimensional space occupied by a liquid, solid, or gas.. Although there are many different units that can be used to indicate volume, the most common ones are liters, cubic meters, gallons, milliliters, teaspoons, and ounces.

According to the information provided,

One should calculate the volumes of the figures to find out if the larger box will carry more cubes or spheres, and the result that yields the smaller value must be the solution.

    Volume of cube = (edge)³ = (2 in)³

                                 = 8 in³

   Volume of sphere = (4πr³)/3

     where r is the radius and is equal to half of the length of the sides. Substituting,

            Volume of sphere = (4π)(1 in)³ / 3 = 4.19 in³

Since spheres give the smaller value for volume, the answer to this item would have to be SPHERE.

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help me with this !! please

Answers

Answer: do i remember how to do this... no

Step-by-step explanation:


Each pair of values is from an inverse variation. Find the missing value. (4,6),(x, 3)

Answers

The missing value of the inverse variation is 8

What is inverse variation ?

The inverse variation property states that , whenever the product of values of two quantities is a constant value then there is opposite variation between these two corresponding values. Or we can also say that if the productive nature of two corresponding values is constant, then one quantity is inversely varies with second quantity.

Let say if x and y are two values and k is a constant value, then

According to inverse variation

k = xy or y = k/x

In the given question,

Take the order pair (4,6)

As it is an inverse variation, we can substitute it

y=k/x  

6=k/4

K=24

Now find the inverse variation equation

Y=k/x

Also, k=24

Solve this equation for the second pair (x,3)

As, y=24/x

    x = 24/3 = 8

Therefore, missing value is 8

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Find the inverse of each function. Is the inverse a function?
y=5 x+7

Answers

The inverse of the function y=5x+7 is y = (x-7)/5.

What exactly is an inverse variation?An inverse variation relationship is one in which one variable increases while the other decreases.When two numbers, say X and Y, are related in such a way that increasing X causes a decrease in Y and vice versa, this is known as indirect or inverse variation.

So,

All we have to do to find the inverse of an equation is switch the variables x and y.

x = 5y + 7

Now, solve for y as follows:

5y = x - 7y = (x-7)/5

Therefore,  the inverse of the function y=5x+7 is y = (x-7)/5.

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ABCD is a trapezium.
AB = P
AD = q
DC: AB= 3:2
D
a
A
Р
B
C
a) Write vector DC in terms of p.
E

b) Work out vector BC in terms of p and q.
Give your answer in its simplest form.

Answers

Answer:

a) 2/3p

b) q + 1/2p

Step-by-step explanation:

The highest temperature ever recorded in chicago was 105F and the lowest was -27F use absolute values to find the difference between the highest and the lowest temperatures

Answers

ΔT= 313.5k-240.3k = 73.2k.

Temperature is the measure of hotness or coldness expressed in terms of any of several scales, including Fahrenheit and Celsius. Temperature indicates the direction in which heat energy will spontaneously flow—i.e., from a hotter body (one at a higher temperature) to a colder body (one at a lower temperature).Temperature is the measure of hotness or coldness expressed in terms of any of several scales, including Fahrenheit and Celsius. Temperature indicates the direction in which heat energy will spontaneously flow—i.e., from a hotter body (one at a higher temperature) to a colder body (one at a lower temperature).Temperature is the measure of hotness or coldness expressed in terms of any of several scales, including Fahrenheit and Celsius. Temperature indicates the direction in which heat energy will spontaneously flow—i.e., from a hotter body (one at a higher temperature) to a colder body (one at a lower temperature).

One unit increase in the Kelvin scale is the same as a one-degree increase in the Celsius scale. The only difference between these two scales is zero points of the thermometer.

ΔT= highest T° in k - lowest T° in k

40.5°c+273= 313.5k

-32.7°c+273= 240.3k

therefore the difference will be 73.2k

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Rewrite (−4)2/7 in radical form.

Answers

Answer:

[tex](-4)\x^{\frac{2}{7} } =\sqrt[7]{(-4)^{2} }[/tex]

Step-by-step explanation:

Hope this helps

Write a variable expression to model real world situation.

A suit costs $65. Represent the cost of n suits.

Answers

A suit costs $65 so n suits will be

$65 x n = $65n

For example, 3 suits will cost

$65 x 3 = $195.

Dakota Shilah works for Arizona Bath Company as a repairman. He earns $12. 00 for each fiberglass bathroom sink and $59 for each fiberglass tub enclosure he repairs. Last week he repaired a total of 23 items. Dakota’s pay for the week was $652. How many of each type of repair did he make?

Answers

Solving a system of equations we can see that he repaired 15 of the fiberglass bathroom sinks and 8 of the fiberglass tub enclosures

How many of each type of repair did he make?

Let's define the two variables:

x = number of fiberglass bathrooms repaired.

y = number of fiberglass tub enclosures repaired.

Then we can write the system of equations:

x + y = 23

x*$12 + y*$59 = $652

Isolating x on the first one, we get:

x = 23 - y

Replacing that in the other equation:

(23 - y)*$12 + y*$59 = $652

23*$12 + y*($59 - $12) = $652

23*$12 + y*$47 = $652

y = ($652 - 23*$12)/$47 = 8

Then:

x = 23 - y = 23 - 8 = 15

So, he repaired 15 of the fiberglass bathroom sinks and 8 of the fiberglass tub enclosures

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Leah is deciding between two truck rental companies. Company A charges an initial fee of $60 for the rental plus $1.50 per mile driven. Company B charges an initial fee of $30 for the rental plus $2.50 per mile driven. Let AA represent the amount Company A would charge if Leah drives xx miles, and let BB represent the amount Company B would charge if Leah drives xx miles. Write an equation for each situation, in terms of x,x, and determine the number miles driven, x,x, that would make the cost of each company the same.

Answers

The number of miles driven that would make the cost of each company the same is 30 miles.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the number of miles.

For company A:

total cost = 1.5x + 60

For company B:

Total cost = 2.5x + 30

If each company charges the same amount of money:

1.5x + 60 = 2.5x + 30

x = 30 miles

The number of miles driven that would make the cost of each company the same is 30 miles.

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137+6y=-y^2-x^2-24x in standard form

Answers

The standard form representation of the equation of a circle as given obviously in the task content is; (x + 12)² + (y + 3)² = 4².

What is the standard from representation of the equation of the circle as given in the task content?

It follows from the task content that the standard form representation of the equation of the circle as given in the task content is to be determined.

The given equation is;

137+6y=-y²-x²-24x

By rearrangement, we have;

x² + 24x + y² + 6y + 137 = 0.

Therefore by the use of completing the square method; we have;

(x + 12)² - 144 + (y + 3)² - 9 + 137 = 0.

Hence, the correct standard form representation of the equation is;

(x + 12)² + (y + 3)² = 16

(x + 12)² + (y + 3)² = 4²

Ultimately, the standard form representation of the equation of a circle as given obviously in the task content is; (x + 12)² + (y + 3)² = 4².

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evaluating functions f(4)+9

Answers

4f+9 this should be the answer

0. How many numbers of small boxes of dimensions 2cm x 2cm x 2cm are needed to fill a box of length 20cm, breadth 10cm and height 5cm. Find it.​

Answers

Answer:

125 small boxes

Step-by-step explanation:

[tex]n = { \tt{ \frac{volume \: of \: big \: box}{volume \: of \: small \: boxes} }} \\ \\ { \tt{n = \frac{(20 \times 10 \times 5)}{(2 \times 2 \times 2)} }} \\ \\ { \tt{n = \frac{5 \times 5 \times 5}{1} }} \\ \\ { \tt{n = 5 {}^{3} }} \\ \\ { \tt{n = 125}}[/tex]

About 2o of the population of the world lives in South America.
1
if about
35 of the population of the world lives in Brazil, what
fraction of the population of South America lives in Brazil?

Answers

Answer:

Step-by-step explanation:

I am assuming you mean 20% of the world's population lives in South America.

That is 1/5.

1 /35 of world's population live in Brazil so the fraction of Brazilians in South America

= 1/35 / 1/5

= 5/35

= 1/7

Melissa is making bookmarks from a piece of ribbon that is 12 inches long.Each bookmark is 4 inches long. She drew this picture to see how many bookmarks she could make from a ribbon. What did she do wrong?

Answers

Where Melissa went wrong was that she should have divided it into 3 pieces that were 4 in. long.

How to Solve Algebra Word Problems?

We are given;

Length of Ribbon = 12 inches

Length of each bookmark = 4 inches

Now, since she is making bookmarks from the 12 inches length of ribbon, from online sources it is seen that she divided into 4 parts of 4 inches each.

Thus, where Melissa went wrong was that she should have divided it into 3 pieces that were 4 in. long.

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The first one-mile speed record was made by Henry Ford in 1904 when he drove the mile in 39.40 s (sec onds). This time was 33.62 s slower than the record achieved in 1970. What was the record time in 1970?

Answers

Answer:

The record time that was achieved in 1970 was 5.78 seconds.

Step-by-step explanation:

It is given that the first one-mile speed record was made by Henry Ford in 1904 when he drove the mile in 39.40 seconds.

It is further stated that this time was 33.62 s slower than the record achieved in 1970.

Now, let us consider the first statement;

Henry Ford covered one mile in time (1904) = 39.40 sec

Now, let us consider the second statement given;

Time taken by Henry Ford (1940) was slower than the time someone else achieved in one miles by = 33.62 sec

So, to calculate the time taken in 1970;

=> 39.40 - 33.62 sec

=> 5.78 sec

Therefore, the record time that was achieved in 1970 was 5.78 seconds.

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What is the actual number of kilometers that is represented by 4 centimeters on the map?

Answers

The actual distance that is represented by 4 centimeters on the map is 16 kilometers

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Let us assume that the scale used on the map is:

1 cm = 4 km

Hence, for 4 cm represented on the map:

Actual distance = 4 cm * 4 km per 1 cm = 16 km

The actual distance that is represented by 4 centimeters on the map is 16 kilometers

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Find the greatest integer that is less than the value of the logarithm. Use your calculator to check your answers.
log 0.08

Answers

We need to know about logarithm to solve this problem. The greatest integer that is less than log 0.08 is -2.

Logarithm is the exponent which is raised to a base to get a certain number. There are a few rules of logarithm, log a + log b can be written as log ab, log a- log b can be written as log a/b, when the number for which the logarithm is calculated is raised to a power, then the power can be directly multiplied to the log itself. Logarithms when written as log has a base of 10 and the logarithm of a number same as its base is always 1, log of 1 is zero.

log 0.08= log 8/100= log 8- log 100 = [tex]log 2^{3} -log 10^{2}[/tex]

=3 log2 -2log10=3x0.30-2=0.9-2=-1.1

Therefore the greatest integer that is less than the value of log 0.08 is -2.

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25446 round to 1sf i need to know

Answers

30000 because 25446 rounds up to 30000 and there’s only one sig fig in that number

While you are waiting for your tennis partner to show up, you drop your tennis ball from 5 feet. Its rebound was approximately 35 inches on the first bounce and 21.5 inches on the second. What exponential function would be a good model for the bouncing ball?

Answers

The exponential function that would be a good model for the bouncing ball is [ 60 * [tex]0.6^{x}[/tex]] .

Given : height = 5 feet

            rebound on first bounce = 35 inches

            rebound on second bounce = 21.5 inches

To find :  exponential function that would be a good model for the                      bouncing ball

Calculation :

at x = 0

ht. = 5 feet = 60 inches

at x = 1

ht. = 35 inches

at x = 2

ht. = 21.5 inches

( 21. 5 / 35 ) * 100 = 60 % approx.

Since , the ht. rebounded is about 60% of the previous ht. rebounded , the exponential function that would be used would be of the form y = a * ( [tex]b^{x}[/tex] ) .

Therefore , the exponential function that would be a good model for the bouncing ball is [ 60 * [tex]0.6^{x}[/tex]] .

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Based off of that photo I have to find out how many degrees P is. Pls help!!

Answers

Answer:

it is 104

Step-by-step explanation:

you have to complete 360 degrees for shape so

89-167=256 and 256-360=104

Please help me out please please please

Answers

Answer:

26s-45

Step-by-step explanation:

This is according to a app that tells you the answer to the problem and this is right the app is always right i use it all the time

I am F years old.My brother is B years older.
What is the sum of our ages?
What will be the sum of our ages in 3 years?
What was the difference of our ages 3 years ago?

Answers

Step-by-step explanation:

The sum of ypur ages is

=F+B

in three years your ages will both grow by 3

= (F+3)+(B+3)

For the difference of ages we know tha B is older than F

=B-F

The answer would be f+b and the +3

Which of the following will result in a rational number? select all that apply. A, 1 sqare root of 4/ + 5/12 B. 1 square root of 9/7 + 7/15 C. square root of 2 - 5/7 D. square root of 2/7 ÷ 5/7​

Answers

Answer:

A. & B.

Step-by-step explanation:

Square root of 4 is 2, and the square root of 9 is 3. These are rational, and adding fractions keeps them rational.

But the square root of 2 is irrational, and subtracting or dividing will not make them rational.

Hope this helps! :)

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