(Please help!!) Leslie creates designer bracelets with gemstones. Her most recent order included a total of 6 bracelets. It takes 12 stones to make one bracelet.

Write and solve an equation that represents how many stones were used for the order.

6s = 12; s = 2 stones
s + 6 = 12; s = 6 stones
s − 6 = 12; s = 18 stones
s divided by 12 equals 6; s = 72 stones

Answers

Answer 1

Leslie used a total of 128 stones for the order.

What is an arithmetic operation?

Arithmetic operations is a branch of mathematics, that involves the study of numbers, the operation of numbers that are useful in all the other branches of mathematics.

It basically comprises operations such as Addition, Subtraction, Multiplication and Division.

The correct equation that represents how many stones were used for the order is:

total number of stones = number of bracelets x stones per bracelet

Let's use "s" to represent the total number of stones Leslie used for the order:

s = 8 x 16

s = 128

Hence, Leslie used a total of 128 stones for the order.

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Related Questions

What is the conversion of 70f in c?

Answers

70 degrees Fahrenheit is equal to approximately 21.1111 degrees Celsius (rounded to four decimal places).

The Celsius (symbol: °C) is an SI (International System of Units) derived unit of temperature.

The Fahrenheit (symbol: °F) is a unit of temperature that was widely used prior to metrication.

To convert a temperature from Fahrenheit (°F) to Celsius (°C),

We can use the following formula:

°C = (°F - 32) x 5/9

Where °C is the temperature in Celsius and °F is the temperature in Fahrenheit.

Substituting 70 for °F, we get:

°C = (70 - 32) x 5/9

Simplifying the expression:

°C = 38 x 5/9

°C = 21.1111111111

Therefore, 70 degrees Fahrenheit is equal to approximately 21.1111 degrees Celsius (rounded to four decimal places).

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Help please! 30 points!

Answers

The least common denominator is 4x^2.

Answer:

Step-by-step explanation:

the least common denominator is 4 x^2

(x+1)/4x

3(x+1)/2x^2

To find the common denominator, find the prime factors of each denominator

4x =2*2*x

2x^2 = 2*x*x

We need to take the greatest number of each term

2:  We have two 2's in the first term and one 2 in the second term so we will take two 2's

x: we have one x in the first term and two x's in the second term so we take two x's

common denominator; 2*2*x*x

                                     4x^2

What is the conversion of 47kg in lbs ?

Answers

The conversion mass value of the kilograms to pounds is given by

( 103.635 ) pounds.

Kilograms and pounds are units which represents one of the standard unit form help us to measure mass.

Standard formula which relates these two quantities of mass are represented as :

One kilogram is equal to 2.205 pounds

After substituting the standard relation between the kilograms and the pounds we get the required value,

1 kilogram = 2.205 pounds

⇒ 47 kilograms = ( 47 ) × ( 2.205 ) pounds

⇒ 47 kilograms = ( 103.635 ) pounds

Therefore, the converted value of 47 kilograms into the pounds is written as  ( 103.635 ) pounds.

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on ran around a track that was 1/8 of a mile long.He ran around the track 24 times.how mant miles did jon run in all?

Answers

Answer:

3 miles

Step-by-step explanation:

1/8*24=3

Answer:

Step-by-step explanation:

He ran 24 times around the track1

Circumfrence of track=1/8 Mile

Total distance he covered=1/8*24

Distance = 3 miles

Please help asap! BAC~DEC x=___ units?

Answers

Answer:

x = 3 units

Step-by-step explanation:

These two triangles are similar figures, which means the ratio of the lengths of their corresponding sides are equal:

[tex]\frac{Side AB}{Side AC} = \frac{Side DE}{Side CE}[/tex]

= [tex]\frac{24}{2x} = \frac{56}{3x + 5}[/tex]

Cross-multiplication is applied:

= [tex](24)(3x + 5) = (56)(2x)[/tex]

Parenthesis are expanded by using the Distributive Law:

= [tex]72x + 120 = 112x[/tex]

Bring all the like terms together and then isolate x:

= [tex]120 = 112x - 72x[/tex]

= [tex]120 = 40x[/tex]

= x = [tex]\frac{120}{40}[/tex]

x = 3 units

What is 500 Meters in Miles?

Answers

To convert meters into miles, divied the meter value by 1609.34. Multiply when we want to convert miles into meter.

500 meters is equal to the 0.31 miles.

The symbol for meter is m.

There are 1,609.344 meters in a mile.

The word "metre" is how this unit is spelled internationally.

Both the US Customary Units and the Imperial System recognise the mile as a unit of length or distance.

The symbol for mile is mi.

There are 0.00062137 miles in a meter.

500 meters is approximately 0.31 miles.

To convert meters to miles,

You can use the following conversion:

1 mile = 1609.34 meters

Therefore,

To convert 500 meters to miles,

You can divide 500 by 1609.34:

500 meters (1609.3) meters/mile ≈ 0.31 miles

500 metres is equivalent to 0.31 miles.

Thus, rounding to two decimal places,

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At a football game, a vender sold a combined total of 124 sodasand hot dogs the number of sodas sold was three times the number of hot dogs sold find the number of sodas and the numbers of hot dogs sold​

Answers

Step-by-step explanation:

x = number of sold sodas

y = number of sold hot dogs

x + y = 124

x = 3y

so,

3y + y = 124

4y = 124

y = 31

x = 3y = 3×31 = 93

there were 93 sodas and 31 hot dogs sold.

What is the conversion of 27cm to inch ?

Answers

The conversion of 27cm to inch is 10.63 inches.

A centimeter is a metric unit of measurement equal to one-hundredth of a meter. It is commonly used in many countries for measuring small distances, such as the length of an object or the height of a person. One centimeter is equal to 0.3937 inches.

To convert 27 centimeters to inches, we can use the following formula:

1 inch = 2.54 centimeters

Therefore, to convert 27 centimeters to inches, we can divide 27 by 2.54:

27 cm ÷ 2.54 = 10.63 inches (rounded to two decimal places)

So, 27 centimeters is approximately equal to 10.63 inches.

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A patient describes having vivid dreams to the nurse. The nurse understands that these occur during which stage of sleep?
a. Rapid eye movement (REM) sleep
b. Stage 2 nonrapid eye movement sleep
c. Stage 3 nonrapid eye movement sleep
d. Stage 4 nonrapid eye movement sleep

Answers

Option a is the correct answer. The patient's description of vivid dreams is most likely occurring during rapid eye movement (REM) sleep.

During fast eye development (REM) rest, the mind is exceptionally dynamic, yet the muscles are loose, bringing about the trademark quick eye developments that give this stage its name. It is during REM rest that most dreaming happens. These fantasies will generally be clear, close to home, and frequently strange, and can be serious to such an extent that they might awaken the sleeper. Interestingly, during non-REM rest, the mind is less dynamic, and dreams are ordinarily less striking and vital. The way that the patient depicted clear dreams is serious areas of strength for a that they were in REM rest, as opposed to one of the non-REM stages.

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A car is traveling at a speed of 70 mph. The car slows down 10 mph to 60 mph. Which number is the additive inverse of the car's speed?

Answers

Answer:

-60

Step-by-step explanation:

Answer:

An additive inverse is just the opposite of a given number. A number a is the number that when added to a yields zero.

Your answer is -60

Step-by-step explanation:

Larissa is helping plan the campus Spring Fling, which is a variety of fun competitions, games, and activities the last day of school. It is held outside, so she is going to have a booth with a sports drink served in cone-shaped paper cups. The cone-shaped paper cups have a diameter of 7 cm and a height of 12 cm, but Larissa is going to use a height of 10 cm when calculating the volume of each cup because she is not going to fill the cup to the top. Larissa is able to purchase the sports drink in economy cans that are cylindrical, with a diameter of 15 cm and a height of 30 cm. The cans are completely full. Larissa wants to purchase enough cans of the sports drink to have 900 servings of the sports drink. A serving is the volume Larissa calculated for the cone-shaped cup. What is the minimum number of cans of the sports drink that Larissa should purchase? Responses A 26 cans26 cans B 22 cans22 cans C 6 cans6 cans D 105 cans

Answers

Answer:

Step-by-step explanation:

Firgure is out your self

From the given data, the answer is option B, 22 cans. Larissa should purchase minimum 22 cans of sport drink.

First, we need to calculate the volume of each cone-shaped cup using the given dimensions:

Radius of the cone = diameter / 2 = 7 cm / 2 = 3.5 cm

Height of the cone = 10 cm

Using the formula for the volume of a cone, we get:

Volume of each cone-shaped cup = (1/3) x π x radius² x height

Volume of each cone-shaped cup = (1/3) x π x (3.5 cm)² x 10 cm

Volume of each cone-shaped cup ≈ 128.68 cm³

Next, we need to calculate the total volume of sports drink needed for 900 servings:

Total volume of sports drink needed = 900 x 128.68 cm³

Total volume of sports drink needed ≈ 115811.2 cm³

Now, we need to calculate the volume of one economy can of sports drink using the given dimensions:

Radius of the can = diameter / 2 = 15 cm / 2 = 7.5 cm

Height of the can = 30 cm

Using the formula for the volume of a cylinder, we get:

Volume of one can of sports drink = π x radius² x height

Volume of one can of sports drink = π x (7.5 cm)² x 30 cm

Volume of one can of sports drink ≈ 5309.73 cm³

Finally, we can divide the total volume of sports drink needed by the volume of one can of sports drink to find the minimum number of cans Larissa should purchase:

Minimum number of cans of sports drink = Total volume of sports drink needed / Volume of one can of sports drink

Minimum number of cans of sports drink = 115811.2 cm³ / 5309.73 cm³ = 21.83

Since we need to purchase whole cans, the minimum number of cans Larissa should purchase is 22.

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1. Kurt used the rule add 4, subtract 1 to generate a pattern. The first term in his pattern is 5. Write a number that could be in Kurt's pattern.that explains the fraction​

Answers

Answer:

Step-by-step explanation:

5, 4, 3, 7, 6, 10, 9, 13, 12, 16, 15

Answer:

Step-by-step explanation:

simplify -4a - (5b - 3a)

Answers

Answer:

Step-by-step explanation:

- a - 5b

Answer: −a−5b

Step-by-step explanation:

How to simplify:

1. Rearrange terms

−4−(5−3)

−4−(−3+5)

2. Distribute

−4−(−3+5)

−4+3−5

3. Combine like terms

−4a+3a−5b

−a−5b

Jess travels 196km to visit her cousins. She leaves home at 8:00am and arrives there are
11:15am. Calculate her average speed in km per hour to the nearst whole number.

Answers

Speed = Distance / Time

Time is measured is km per hour
196km
3hrs and 15 minutes = 3.25 hours

196 / 3.25 = 60 km / hour

Emily ran 3 3/5 miles. Altogether her and Elana ran 7 1/5 miles write an Eqution to find out how many miles Elana ran.

Answers

With the help of linear equation 3 3/5+x=7 1/5, Elana ran 3 3/5 miles.

What exactly is a linear equation?

A linear equation is one in which the variable's maximum power is always 1. A one-degree equation is another name for it. A linear equation in one variable has the conventional form Ax + B = 0, for example, x-10=0. In this equation, x is a variable, A is a coefficient, and B is constant.

A linear equation in two variables has the conventional form Ax + By = C, for example, 2x-4y=10. The variables x and y are variables, the coefficients A and B are coefficients, and the constant C is a constant.

Now,

Given that Emily ran 3 3/5 miles.

and Emily and Elana together ran 7 1/5 miles

i.e. 3 3/5+x=7 1/5

where x= Miles Elana ran

then x=7 1/5 - 3 3/5

=3 3/5

hence,

      The  linear equation will be 3 3/5+x=7 1/5 and Elana ran 3 3/5 miles.

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4(x + 3) ≤ 0 or x+1/4>3

Answers

Answer:

4x+12 ≤ 0 or 4x+1>3

4x ≤ -12 or 4x+1 > 3

x ≤-3 or x >1/2

Name two measures of the variation of a distribution, and state the conditions under which each measure is preferred for measuring the variability of a single data set. A. The mean is preferred when the data is relatively symmetric B. The standard deviation is preferred when the data is relatively symmetric C. The median is preferred when when the data is relatively symmetric D. The standard deviation is preferred when there are many data points E. The interquartile range is preferred when the data is strongly skewed or has outliers. F The interquartile range is preferred when there are few data points G. The z-score is preferred when there are many data points H. The median is preferred when the data is strongly skewed or has outliers.

Answers

Measures of the variation of distribution are variance, standard deviation, range, interquartile range, and coefficient of variation.

Measures of the variation of a distribution:

Measures of the variation of distribution are used to quantify the spread or dispersion of the data points in the distribution.

Variance:

The variance is a measure of the variation of distribution that represents how spread out the data points in a distribution are from the mean.

A higher variance indicates that the data points are more spread out, while a lower variance indicates that they are more tightly clustered around the mean.

The variance is useful when the data is normally distributed and there are no extreme outliers in the dataset.

Standard deviation:

Standard deviation is a measure that shows how the spread or dispersion of a set of data points from the mean.

The standard deviation can tell us how tightly or loosely the data points are clustered around the mean. A smaller standard deviation indicates that the data points are tightly clustered, while a larger standard deviation indicates that the data points are more spread out.

The standard deviation is useful when the data is normally distributed and there are no extreme outliers in the dataset.

Some of the measures of the variation of distribution are Range, Interquartile range, Coefficient of variation, etc.  

Therefore,

Measures of the variation of distribution are variance, standard deviation, range, interquartile range, and coefficient of variation.

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It costs $3 per hour to park in a parking lot, with a mazimum cost of $12. Explain why the amount of time a car is parked is not a function of the parking cost

Answers

Answer with Step-by-step explanation:

The time a vehicle is left parked is not a function of the cost of parking because the two variables are not directly related. The cost of parking in this situation depends on how long a vehicle is parked, while the opposite is not true.

This is because the cost of parking is based on an hourly rate, and the maximum cost is capped at $12. So, regardless of how long a car is parked, the maximum cost will always be $12. For example, a car parked for 1 hour will cost $3, a car parked for 4 hours will cost $12, and a car parked for 6 hours will still only cost $12.

On the other hand, the amount of time a car is parked is not limited by the parking cost. A driver may choose to park their car for any length of time within the maximum limit of the parking lot. So, the amount of time parked is not dependent on the cost but rather on the driver's choice and parking lot regulations.

As a result, there is no direct correlation between the length of time a car is parked and the cost of parking, and the length of time a car is parked is not a function of the cost of parking.

Hope it helps!

Solve the system of differential equations using eigenvectors
also find the eigenvalues and eigenvectors (they are all real) of the coefficient matrix and write the general solution
x'(t) = 3x(t) + y(t)
y'(t) = x(t) + 3y(t)

Answers

The eigenvalues are λ₁= 2 and λ₂=4. The eigenvectors are [tex]\vec{v_1}=\left[\begin{array}{c}-1\\1\end{array}\right][/tex] and [tex]\vec{v_2}=\left[\begin{array}{c}1\\1\end{array}\right][/tex]. The general solution is [tex]\begin{aligned}x(t)&=-C_1e^{2t}+C_2e^{4t}\\y(t)&=C_1e^{2t}+C_2e^{4t}\end{aligned}[/tex].

An eigenvector is considered as a non-zero vector x of matrix A such that Ax=λx. This scalar (λ) is the eigenvalue.

Given the equations are x'(t) = 3x(t) + y(t) and y'(t) = x(t) + 3y(t). Now, let's write them in the matrix form as follows,

[tex]\begin{aligned}\left[\begin{array}{c}x'\\y'\end{array}\right] &=\left[\begin{array}{cc}3&1\\1&3\end{array}\right] \left[\begin{array}{c}x\\y\end{array}\right]\\X'&=AX\end{aligned}[/tex]

From, the above expression, the coefficient matrix A is written as [tex]A=\left[\begin{array}{cc}3&1\\1&3\end{array}\right][/tex].

Now let's write the characteristic equation |A-λI|=0 as follows,

[tex]\begin{aligned}\left|\begin{array}{cc}3-\lambda&1\\1&3-\lambda\end{array}\right|&=0\\\lambda^2-6\lambda+8&=0\end{aligned}[/tex]

Solving the above equation, we get λ₁= 2 and λ₂=4.

For λ₁= 2, we obtain the eigenvector as follows,

[tex]\left[\begin{array}{cc}3&1\\1&3\end{array}\right]\left[\begin{array}{c}x_1\\x_2\end{array}\right]=\left[\begin{array}{c}2x_1\\2x_2\end{array}\right][/tex].

From this, the equations are written as 3x₁+x₂=2x₁ and x₁+3x₂=2x₂. Solving we get, x₁=-x₂ and x₂=x₂. Then, the eigenvector is written as[tex]\vec{v_1}=\left[\begin{array}{c}-1\\1\end{array}\right][/tex].

For λ₂=4, we obtain the eigenvector as follows,

[tex]\left[\begin{array}{cc}3&1\\1&3\end{array}\right]\left[\begin{array}{c}x_1\\x_2\end{array}\right]=\left[\begin{array}{c}4x_1\\4x_2\end{array}\right][/tex].

From this, the equations are written as 3x₁+x₂=4x₁ and x₁+3x₂=4x₂. Solving we get, x₁=x₂ and x₂=x₂. Then, the eigenvector is written as[tex]\vec{v_2}=\left[\begin{array}{c}1\\1\end{array}\right][/tex].

Then, the general solution is,

[tex]\begin{aligned}X(t)&=C_1e^{\lambda_1t}\vec{v_1}+C_2e^{\lambda_2t}\vec{v_2}\\ \left[\begin{array}{c}x\\y\end{array}\right]& =C_1e^{2t}\left[\begin{array}{c}-1\\1\end{array}\right] +C_2e^{4t}\left[\begin{array}{c}1\\1\end{array}\right] \end{aligned}[/tex]

And, the component-wise, the general solution is written as

[tex]\begin{aligned}x(t)&=-C_1e^{2t}+C_2e^{4t}\\y(t)&=C_1e^{2t}+C_2e^{4t}\end{aligned}[/tex]

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What is the area of a square if the base is 4 m in the height is 4 m

Answers

The area of the square according to the dimensions of base and height is 16 m².

The square is a shape with equal sides. Thus, the base and height of this shape is always equal. Now when we have the measurements of its side, we can calculate the area of the square. The formula for the same is -

Area = side²

Keep the value in formula to find the value of are of square

Area of square = 4²

Taking square on Right Hand Side of the equation

Area of square = 16 m²

Thus, the area of square is 16 m².

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the platinum charges 30$ membership fee plus a 6$ per video game similarly,the bronze packaging fee and an additional cost for every video game downloaded x the graph represents the total cost y,of the bronze package

Answers


Total cost of the bronze package = Membership fee + Cost per video game

Total cost of the bronze package = 30$ + (6$ x Number of video games downloaded)

Total cost of the bronze package = 30$ + 6$y

Therefore, the equation for the graph is y = (Total cost - 30$) / 6$

Please Solve These! Thank you

Answers

The value of the exponent 'x' in  5ˣ⁻⁵⁵ = 125⁵ is 70.

What are surds and indices?

We know there are two types of radicals one is surds when the number has been raised by such power that it is greater than zero and less than one,

The other type of radicals are indices where a number is raised to such power that is greater than one.

Given, An equation in exponents 5ˣ⁻⁵⁵ = 125⁵.

5ˣ⁻⁵⁵ = 5³ˣ⁵.     (as 5³ is 125)

Therefore, x - 55 = 15.

x = 70.

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$48000 a year is how much an hour?

Answers

For someone working 24 hours daily, the equivalent hourly wage for a $48,000 yearly salary would be $5.48 per hour.

Assuming that someone works 24 hours a day, 365 days a year, their total number of working hours in a year would be 8,760 hours. To calculate how much an hourly rate would be for a $48,000 yearly salary if someone works 24 hours daily, you can divide the annual salary by the total number of working hours.

Dividing $48,000 by 8,760 hours gives an hourly wage of $5.48. This means that if someone works 24 hours daily, their equivalent hourly wage for a $48,000 yearly salary would be $5.48 per hour.

Additionally, laws and regulations related to working hours vary by country and industry, and many limit the maximum number of working hours per day or week.

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Pls help i need this by the end of today

Answers

The average rate of change of the total cost as his shirt production increases from 10 to 20 is 150.

What is the average rate of change?

The Average Rate of Change function is defined as the average rate at which one quantity is changing with respect to something else changing.

Given that, the total cost to produce by James shirts is represented by a function, f(x) = 5x²+6.

We are to find the average rate of change of the total cost as his shirt production increases from 10 to 20.

The average rate of change is given by =

f(b) - f(a) / b-a, where a and b are given intervals,

Here, we have, a = 10 and b = 20

f(b) = 5(20)²+6 = 2006

f(a) = 5(10)²+6 = 506

The rate of change =

2006 - 506 / 20-10

= 1500 / 10

= 150

Hence, the average rate of change of the total cost as his shirt production increases from 10 to 20 is 150.

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Select the correct answer.
If f(x) = 3x + 2 and g(x) = 2x - 2, what is (f- g)(x)?
O A.
OB.
X + 4
OE.
X-2
O C. X
O D. 5x-2
X-4

Answers

Answer:

A

Step-by-step explanation:

(f - g )(x)

= f(x) - g(x)

= 3x + 2 - (2x - 2) ← distribute parenthesis by - 1

= 3x + 2 - 2x + 2 ← collect like terms

= x + 4

The value of the function (f-g)(x) is x+4.

What is a function?

A function in math is a rule or expression that defines a relationship between one variable (the input or independent variable) and another variable (the output or dependent variable).

Given are two functions, f(x) = 3x+2 and g(x) = 2x-2, we need to find the value of (f-g)(x)

So,

(f-g)(x) = f(x) - g(x)

= 3x+2 - (2x-2)

= x+4

Hence, the value of the function (f-g)(x) is x+4.

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any number that can be expressed as a ratio of two integers

Answers

Any number that can be expressed as a ratio of two integers is called a rational number.

Any number that can be expressed as a ratio of two integers is called a rational number. The word "rational" comes from the word "ratio", which means a comparison of two quantities. In other words, a rational number is a number that can be written in the form p/q, where p and q are integers and q is not equal to 0. For example, 2/3, -5/7, and 1 are all rational numbers, while pi (π) and √2 are not rational because they cannot be expressed as a ratio of two integers.

Rational numbers can be positive, negative, or zero. They can also be expressed in different forms, such as mixed numbers or decimals. However, it is important to note that not all decimals are rational. A decimal is rational if and only if it either terminates or repeats indefinitely. For example, 0.25, 0.5, and 0.333... are all rational decimals, while 0.7 and 0.1234567891011121314... are not rational.

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PLEASE ANSWER ASAP
The measures of the angles ABC are given by the expressions in the table, what are the measures of
Angle
A (12x+12) degrees
B 15 degrees
C (3x+18) degrees

Answers

Answer

Angle A = 120 degrees
Angle B = 15 degrees
Angle C = 45 degrees



Step by Step explanation:


To find the measure of angle A, we simply substitute the given expression for angle A, which is 12x + 12 degrees:

Angle A = 12x + 12 degrees

To find the measure of angle C, we substitute the given expression for angle C, which is 3x + 18 degrees:

Angle C = 3x + 18 degrees

Since the sum of the angles in any triangle is always 180 degrees, we can use this fact to find the measure of angle B. We know that:

Angle A + Angle B + Angle C = 180 degrees

Substituting the expressions for angles A and C, we get:

(12x + 12) + 15 + (3x + 18) = 180

Simplifying this equation, we get:

15x + 45 = 180

Subtracting 45 from both sides, we get:

15x = 135

Dividing both sides by 15, we get:

x = 9

Now we can substitute x = 9 back into the expressions for angles A and C to find their measures:

Angle A = 12x + 12 degrees = 12(9) + 12 = 120 degrees

Angle C = 3x + 18 degrees = 3(9) + 18 = 45 degrees

Therefore, the measures of the angles ABC are:

Angle A = 120 degrees
Angle B = 15 degrees
Angle C = 45 degrees

Answer:

To find the measure of angle A, we substitute the given expression into the formula for the measure of an angle:

A = 12x + 12 degrees

To find the measure of angle C, we substitute the given expression into the formula for the measure of an angle:

C = 3x + 18 degrees

The measure of angle B is already given as 15 degrees.

Therefore, the measures of the three angles are:

Angle A = 12x + 12 degrees

Angle B = 15 degrees

Angle C = 3x + 18 degrees

The graph of f(x)=x^2 was translated 2 units to the right to create the graph of function g. Write an equation in vertex form to represent function g.​

Answers

The equation in vertex form to represent the translation is

f(x) = (x - 2)^2

How to write the translation equation

The parent equation is as follows f(x) = x^2

The translation of 2 units to the right is achieved by subtracting 2 from the equation the squaring all the values. This is written as

f(x) = (x - 2)^2

The vertex form of quadratic equation is of the form

y = a(x - h) + k

comparing with the equation shows that

a = 1

h = 2

k = 0

and hence the equation is already in vertex form

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2) Lou plans to go to a beauty salon. She sees this special offer. treatments (£31. facial) (£29 leg wax) (£35 massage) (£27. manicure) (£13 eyelash tint) book any 3 treatments get 25% off the total cost Lou wants to book a massage and 2 other different treatments. She has £60 to spend on the treatments. Work out the total cost of the 3 treatments using the special offer for Lou. Remember to write down the 3 treatments.​

Answers

The total cost for each combination with the special offer would be:

Massage, leg wax, and manicure: £68.25

Massage, facial, and eyelash tint: £59.25

Massage, leg wax, and eyelash tint: £57.75

How to find the total cost?

We can try out the different possibilities and calculate the total cost of each.

Let's start by listing the prices of the treatments she's interested in:

Massage: £35

Facial: £31

Leg wax: £29

Manicure: £27

Eyelash tint: £13

Now, we can try out the different combinations of 3 treatments and calculate their total cost:

Massage, facial, and leg wax:

Total cost = £35 + £31 + £29 = £95

With 25% off, the cost would be £71.25, which is over Lou's budget of £60, so this combination is not possible.

Massage, facial, and manicure:

Total cost = £35 + £31 + £27 = £93

With 25% off, the cost would be £69.75, which is still over Lou's budget of £60, so this combination is also not possible.

Massage, leg wax, and manicure:

Total cost = £35 + £29 + £27 = £91

With 25% off, the cost would be £68.25, which is within Lou's budget of £60. Therefore, this combination is possible.

Massage, facial, and eyelash tint:

Total cost = £35 + £31 + £13 = £79

With 25% off, the cost would be £59.25, which is within Lou's budget of £60. Therefore, this combination is also possible.

Massage, leg wax, and eyelash tint:

Total cost = £35 + £29 + £13 = £77

With 25% off, the cost would be £57.75, which is within Lou's budget of £60. Therefore, this combination is also possible.

From the above calculations, we can see that Lou can choose from three possible combinations of treatments that fit within her budget and qualify for the special offer:

Massage, leg wax, and manicure

Massage, facial, and eyelash tint

Massage, leg wax, and eyelash tint

The total cost for each combination with the special offer would be:

Massage, leg wax, and manicure: £68.25

Massage, facial, and eyelash tint: £59.25

Massage, leg wax, and eyelash tint: £57.75

Therefore, Lou can choose any of the above combinations and pay the corresponding total cost to enjoy the special offer.

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At a hockey game, a vender sold a combined total of 172 sodas and hot dogs. The number of sodas sold was three times the number of hot dogs sold. Find the number of sodas and the number of hot dogs sold.

Answers

Therefore , the solution of the given problem of linear equation comes out to be  129 sodas were sold.

What exactly is a linear equation?

The formula y=mx+b is used to produce a simple regression curve. The slope is B, and the y-intercept is m. The preceding line indicates independent components, yet is commonly referred to as a "math equation combining many variables". In bivariate linear equations, there are just two variables. Application problems involving linear equations have no known solutions. Y=mx+b.

Here,

Let's start by defining some variables. Let s be the number of sodas sold and h be the number of hot dogs sold.

We know from the problem that:

s + h = 172 (the total number of sodas and hot dogs sold)

s = 3h (the number of sodas sold is three times the number of hot dogs sold)

We can substitute the second equation into the first equation to eliminate s and get an equation in terms of h:

3h + h = 172

4h = 172

h = 43

So, 43 hot dogs were sold. We can then use the second equation to find the number of sodas sold:

s = 3h = 3(43) = 129

Therefore, 129 sodas were sold.

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