The integration of 1/ln(x) is not possible as We permit y = lnx, we then recognize that x = ey.
By differentiating each aspects of this equation with admire to y we get:dx/dy = ey, because the exponential characteristic differentiates to itself whilst differentiated with admire to its power.
In mathematics, the logarithmic quintessential characteristic or quintessential logarithm li(x) is a unique characteristic. It is applicable in issues of physics and has variety theoretic significance. In particular, in keeping with the high variety theorem, it's far a excellent approximation to the high-counting characteristic, that is described because the variety of high numbers much less than or same to a given value x.
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what can identifying a correlation do for your research? aid in the calculation of the mean and mode. present possible solutions to be explored. guide the design of grids or decision matrices.
A correlational research design investigates relationship between variables without the researches controlling or manipulation any of them.
Correlational analysis is statistical method that is used to discover if there is a relationship between two variables/dataset, and how strong that relationship may be.
A correlation reflects the strength and direction of the relationship between two variables. The direction of a correlation can be either positive or negative.
Correlational research is ideal gathering data quickly from natural settings. They helps you generalize your findings to real-life situations in an externally valid way.
Correlation is also used to establish the reliability and validity of measurements. A positive correlation is a relationship between two variable s in which bothe variables move in the same direction. A negative correlation is a relationship between two variables in which as increase in one variable is associated with a decrease in the other. A zero correlation exist when there is no relationship between two variables.
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What is the length of AB
The length of AB will be 32
Given that,
AC=32
AD=8
∠ABC=90 degree
From the diagram, we can see that it is a right-angle triangle so we can use that trigonometry to find the value of AB.
We know that,
sinФ=[tex]\frac{perpendicular}{hypotenuse }[/tex]
Now using this formula we can find the value of AB. And we know that the value of sin90= is 1.
sin90=AB/AC
⇒1=AB/32
⇒32=AB
⇒AB=32
So the length of AB mean x is 32
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Each birthday from age 12, You receive $500. You
save the money in an account that pays an annual yield of 6%. How much money will you
have by the time you're 18?
suppose that 9 good fuses and 4 defective ones have been mixed up. to find the defective fuses, we test them one-by-one, at random. what is the probability that we are lucky and find both of the defective fuses in the first two tests? (5 points) 1). with replacement 2). without replacement
The probability that we are lucky and find both of the defective fuses in the first two tests with replacement is 1/13 and without replacement is 12/169.
In the given question, 9 good fuses and 4 defective ones have been mixed up.
To find the defective fuses, we test them one-by-one, at random.
We have to find the probability that we are lucky and find both of the defective fuses in the first two tests.
1). with replacement
2). without replacement
There are 9 good fuses and 4 defective ones.
So the total number of defective fuses = 9+4 = 13
Now the probability first test will find a defective is 4/13
Without replacement, 2nd will find another defective with probability = 3/12.
Probability of finding 2 defectives on 1st two tests is
P(R) = 4/13 x 3/12
P(R) = 12/156
P(R) = 1/13
Now the with replacement the probability is
P(E) = 4/13 x 3/13
P(E) = 12/169
The probability that we are lucky and find both of the defective fuses in the first two tests with replacement is 1/13 and without replacement is 12/169.
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The parent function f(x)=x^2 is translated 2 units left and 3 units up. Write the quadratic function in vertex form.
The quadratic function in vertex form is formed as: f(x)=a(x + 2)² + 2.
Explain the vertex form of quadratic function?In the linear model, k defines the vertex of the parabola, just as adding or subtracting b would decide where the line crosses.f(x)=a(x - h)² + k
K functions like b with in slope-intercept formula, just like a linear function would.For the stated question-
Whether you're going to increase by 2, you must also add 2.
The horizontal movement is determined by the h. It goes left or right depending on what you enter in h.
Finding the value that will cause the parenthesis to equal 0 when x equals -2 is necessary to make the necessary adjustments because shifting the vertex point to a left implies subtraction and negatives
x - h = 0
-2 - h = 0
-h = 2
h = -2
As a result, the function appears as follows:
f(x)=a(x - (-2))² + 2
A negative is subtracted to eliminate the signs and create a positive:
f(x)=a(x + 2)² + 2
Thus, the quadratic function in vertex form is formed as: f(x)=a(x + 2)² + 2.
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a range of values estimated to have a high probably of containing the population value is called:
A range of values estimated to have a high probably of containing the population value is called Confidence interval.
A confidence interval is a range of values that is likely to contain the true value of a population parameter, such as a mean or proportion. The degree of confidence associated with a confidence interval is the probability that the population parameter falls within the range of the confidence interval.
Population parameter : In statistics, a population parameter is a numerical measure of a population, such as its mean, variance, or proportion of a certain characteristic. It is usually estimated from a sample of the population and is usually not known precisely.
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Someone please answer this question it is in the picture I will give you brainliest and your getting 50 points no fraud answers.
Answer: a=9 b=11
Step-by-step explanation:
This is a parallelogram; we know by the definition of the shape that the opposites sides are congruent.
That means a, the opposite of the 9, is 9.
That means b, the opposite of the 11, is 11.
A line passes through (0,2) and has a slope of 1/3 what is the equation of the line in slope intercept form
Y = 1/3x + 2
Y = 1/3x - 2
Y = -1/3x+2
Answer:
The equation of the line in slope-intercept form is: y = 1/3x + 2
To derive this equation, we first need to identify the slope of the line, which is given as 1/3. We then use the point (0,2) to find the y-intercept, which is 2. Finally, we substitute these values into the slope-intercept form of a line, which is y = mx + b, where m is the slope and b is the y-intercept. In this case, we have m = 1/3 and b = 2, so the equation of the line is y = 1/3x + 2.
Alternatively, we could use the point-slope form of a line, which is y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope. In this case, we have (x1, y1) = (0,2) and m = 1/3, so the equation of the line is y - 2 = 1/3(x - 0), which simplifies to y = 1/3x + 2. This is the same result as before, but using a different method to derive the equation.
Step-by-step explanation:
The table in the image shows the results of a survey of students in two math classes.
Find P(more than 1 hour of TV | 6th period class). Round to the nearest thousandth. Be sure to show and explain your work
The probability that a student in the 6th-period class watched more than 1 hour of TV is approximately 0.600.
What is probability?Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.
The table in the image shows the results of a survey of students in two math classes.
Did You Watch More Than One Hour of TV Last Night?
Yes No
3rd period class 6 10
6th period class 9 6
To find P(more than 1 hour of TV | 6th period class), we need to find the probability that a student in the 6th period class watched more than 1 hour of TV given that we know they are in the 6th period class.
We can use the formula: P(A|B) = P(A and B) / P(B)
We are trying to find P(A|B), where:
A = "more than 1 hour of TV"
B = "6th period class"
We can find P(A and B) by looking at the table.
There were 15 students in the 6th-period class and 9 of them watched more than 1 hour of TV, so P(A and B) = 9/15.
We can find P(B) by looking at the table. There were 15 students in the 6th-period class, so P(B) = 15/15 = 1.
Plugging these values into the formula, we get: P(A|B) = (9/15) / 1 = 0.6
Rounded to the nearest thousandth, this is: 0.600
Thus, the required probability is approximately 0.600.
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The answers u see already answered is not right an I need help with them
Answer:
GOOD MORNING
Step-by-step explanation:
I AM SINGLE
Which of the following pair of linear equations are consistent or inconsistent x - y = 8, 3x - 3y = 16?
Answer:
the equations listed are inconsistent because the do not intersect or overlap.
Step-by-step explanation:
use the desmos graphing calculator website to graph the two equations. if they are parallel then they are inconsistent. if the cross or overlap then they are consistent
How much more is Rs. 5000 including 13% VAT on it than Rs. 5500.
When 13% VAT is levied on Rs 5000, the total price becomes Rs. 5650. This amount is Rs. 150 more than Rs. 5500.
VAT refers to value-added tax, a flat consumption tax levied on goods and services. It is most commonly charged in the countries of the EU. VAT is calculated by multiplying the percentage given by the original price.
VAT amount = percentage × original price
= 13% × 5000
= Rs. 650
We must add the VAT amount to the original amount to get the total price.
= 5000 + 650
= Rs. 5650
The difference in Rs. 5000, including 13% VAT from Rs. 5500, can be found by subtracting the lower amount from the larger amount.
= 5650-5500
= Rs. 150
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n a survey of 3102 adults, 1443 say they have started paying bills online in the last year. Construct a 99% confidence interval for the population proportion. Interpret the results.
A 99% confidence interval for the population proportion is ( ),( ).
(Round to three decimal places as needed.)
Interpret your results. Choose the correct answer below.
A. With 99% confidence, it can be said that the population proportion of adults who say they have started paying bills online in the last year is between the endpoints of the given confidence interval.
B. The endpoints of the given confidence interval show that adults pay bills online 99% of the time.
C. With 99% confidence, it can be said that the sample proportion of adults who say they have started paying bills online in the last year is between the endpoints of the given confidence interval.
With 99% certainty, the population proportion of adults who say they have started paying bills online in the last year is between the given confidence interval's endpoints.
What is confidence interval?We have the following confidence interval of proportions in a sample of n people surveyed with a success probability of π and a confidence level of 1 - α.
Confidence interval = [tex]\pi[/tex] ± z [tex]\sqrt{\(\pi (1 - \pi ))/n}[/tex]
z = 1 - α/2
Here given, According to a survey of 3102adults, 1443 have begun paying bills online in the last year.
That is, n = 3102 and x = 1443
p = x / n
= 1443 / 3102
= 0.465
significance level = α
= 1 - confidence
= 1 - 0.99
= 0.01
zα/2 = z0.01 / 2 = 2.58
By substituting in confidence interval formula,
The lower limit is :
0.465 - 2.58[tex]\sqrt{(0.465 * 0.535) / 3102}[/tex]
= -0.01894056008
The upper limit is:
0.465 + 2.58[tex]\sqrt{(0.465 * 0.535) / 3102}[/tex]
= 0.02722425658
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The lower limit is 0.456 and upper limit is 0.474
What is confidence interval?
In statistics, a confidence interval describes the likelihood that a population parameter would fall between a set of values for a given percentage of the time. Confidence ranges that include 95% or 99% of anticipated observations are frequently used by analysts.
As confidence interval (C) = π ± z√[π(1-π)/n]
In the above expression, z = 1 - α/2, where α is the significance level.
Given in the question, n=3102 as the survey was conducted on 3102 adults. Also, x=1443, as 1443 people have started paying bills online in last year.
π = x/n
Substituting the values, we get,
π = 1443/3102
⇒ π = 0.465
Confidence level(α) = 1 - confidence
= 1 - 0.99
= 0.01
Since, z = 1 - α/2
⇒ z = 1 - 0.01/2
⇒ z = 1 - 0.005
⇒ z = 0.995
By substituting in confidence interval formula,
The lower limit is = 0.465 - 0.995√[(0.465*0.535)/3102]
= 0.456
The upper limit is = 0.465 + 0.995√[(0.465*0.535)/3102]
= 0.474
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Using a variable, write an inequality to represent the solution shown on the graph below.
Answer: [tex]x\leq -1[/tex]
Step-by-step explanation: The closed point indicates that it can be equal to that number. The arrow is going back on the number line, meaning it is going to be less. Thus, it is less than or equal to -1.
Solve -12x-3x²=0 by factoring.
The solutions are x =
and x =
Answer:
Step-by-step explanation:
a. Lin is using the diagram to prove the statement, "If a parallelogram has
one right angle, it is a rectangle." Given that EFGH is a parallelogram
and angle HEF is a right angle, write a statement that will help
prove angle FGH is also a right angle.
The statement that will help prove angle FGH is also a right angle is opposite angles in a parallelogram are congruent.
What is parallelogram?
A parallelogram is a straightforward quadrilateral with two sets of parallel sides in Euclidean geometry. A parallelogram's facing or opposing sides are of equal length, and its opposing angles are of equal size.
Given:
EFGH is a parallelogram and ∠HEF is a right angle.
Then ∠FGH is also right angle.
Since opposite angles in a parallelogram are congruent.
Hence, the statement that will help prove angle FGH is also a right angle is opposite angles in a parallelogram are congruent.
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25% of what number is 6?
Answer:it is 24 ∪w∪
Step-by-step explanation: 100% is 24
in triangle ABC , seg XY || sideAC , If 2AX = 3BX and XY = 9 , then find the value of AC
The value of AC is 22.5
The property of three parallel lines and their transversals is used to solve this sum. The property explains that if the ratio of the corresponding intercepts made on any other transversal by the same parallel lines is the same as the ratio of the intercepts made on a transversal formed by three parallel lines.
XY ║seg AC
2AX = 3BX
XY = 9
Since, 2AX =3BX
∴ AX÷ BX = 3÷2
AX + BX÷ BX = 3+2÷2
AB ÷ BX = 5÷2
Δ BCA ~ ΔBYX (SAS test of similarity)
( The SAS similarity test determines whether two triangles are similar if the ratio of the lengths of two sides of one triangle equals the ratio of the lengths of two sides of another triangle, and the included angles are equal.)
∴ BA ÷ BX = AC ÷ XY ( Corresponding sides)
∴ 5÷ 2 = AC ÷ 9
∴ AC = 22.5
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in the simek and o'brien study, a novice golfer had to sink four consecutive putts before going to the next step. this exemplifies:
In the Simek and O'Brien study, progressive overload was used by requiring the novice golfer to sink four consecutive putts before moving on to the next step. Progressive Overload.
Progressive overload is the gradual increase of stress placed on the body during physical activity. By requiring the novice golfer to sink four consecutive putts before moving on to the next step, the study is increasing the difficulty of the task and placing additional stress on the body.
Progressive overload is an effective and essential technique for improving physical performance. It involves gradually increasing the intensity of the activity or exercise, which places additional stress on the body and forces it to adapt and become stronger. In the Simek and O'Brien study, progressive overload was used by requiring the novice golfer to sink four consecutive putts before moving on to the next step. This increased the difficulty of the task and allowed the golfer to gradually improve their performance. By gradually increasing the difficulty of the task, the study was able to effectively use progressive overload to improve the golfer's performance.
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SHOW WORK FOR BRAINLIST AND HEARTS
The graph of Stewart's assignment added as an attachment
How to draw the graph of the scenario?From the question, we have the following parameters that can be used in our computation:
Number of assignments = 36Rate of assignment per day = 4This means that the equation of the scenario is
Number of assignments remaining = Initial number of assignments - Rate of assignment per day * Number of days
Represent the number of assignments remaining with y and the number of days with x
So, we have the following representation
y = Initial number of assignments - Rate of assignment per day * x
Substitute the known values in the above equation, so, we have the following representation
y = 36 - 4 * x
Evaluate the products
y = 36 - 4x
So, the equation is y = 36 - 4x and the graph is added as an attachment
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The cost of 7 sandwiches and 5 milkshakes is $79. The cost of 2 sandwiches and 5 milkshakes is $44. How much does one sandwich cost and one milkshake cost?
HELP
Cost of one sandwich is $7 and cost of milkshake $5.
What is an equation?
In arithmetic, associate equation could be a formula that expresses the equality of 2 expressions, by connecting them with the sign =.
Main body:
According to question:
let cost of one sandwich be x and cost of milkshake be y .
7x + 5y = $79 -------(1)
2x + 5y = $44 -------(2)
subtracting equation 2 from 1 , we get
5x = 35
x = $7
so cost of one sandwich is $7.
now substituting value of x in equation 1 , we get
7(7) + 5y = 79
49 +5y = 79
5 y = 20
y = 4
so cost of one milkshake is $5.
Hence cost of one sandwich is $7 and cost of milkshake $5.
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The sides of a triangle are given by
(3x2 − y2);(4x2−7xy+4y)and (−3x+7xy+8y2)
3x2 − y2;4x2−7xy+4yand (−3x+7xy+8y2)
.
Find its perimeter.
fine the product of 1/100
The product of 1/100 is 0.01.
What is decimal?Decimals are numbers that have two components, a whole number component and a fractional component, which are separated by a decimal point.
Given that the expression 1/100.
To find the product of 1/100,
means the decimal value of 1/100
And the decimal value of 1/100 is part of 1 in hundredth
= 1/100
= 0.01
Hence, product of 1/100 is 0.01.
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selected values of the derivative of the function g are given in the table above. it is known that g(4)=12. what is the approximation for g(4.2) found using the line tangent to the graph of g at x=4 ?
The approximation for the function g(4.2) is 12.44
What is the approximation for the function?From the table, we know that g'(4) = 2.2
g (4) = 12
Using the line tangent to the graph of g at x=4 ,
g (4.2) = g (4 ) + (4.2 -4 )2.2
= 12 + 0.44
= 12.44
The approximation for the function g(4.2) is 12.44. So ,option A is correct.
What is a tangent?The graph of the affine function that most closely resembles the original function at the specified location is known as a tangent line approximation.It can be thought of as the tangent line to a point on a differentiable curve.The plane that touches a surface at a specific location is known as the tangent plane to that surface. One of differential geometry's most basic ideas is the idea of a tangent. Differentiability is a particular kind of mathematical smoothness that is essential to the tangent line's existence and uniqueness.The point of tangency, where the tangent line and the curve converge, is where the tangent passes through.Refer image for complete question.To learn more about tangent, refer:
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A box of cookies contains 12 chocolate-chip cookies, 6 peanut-butter cookies, and 6 sugar cookies. What is the probability of randomly selecting a chocolate-chip cookie, eating it, and then randomly selecting a sugar cookie?
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
The probability of randomly selecting a chocolate-chip cookie, eating it, and then randomly selecting a sugar cookie is 3/23.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
We have,
A box of cookies contains 12 chocolate-chip cookies, 6 peanut-butter cookies, and 6 sugar cookies.
Total number of cookies = 12 + 6 + 6 = 12 + 12 = 24
Now,
The probability of randomly selecting a chocolate-chip cookie.
= 12/24
= 1/2
The remaining chocolate.
= 24 - 1
= 23
Now,
The probability of randomly selecting a sugar cookie.
= 6/23
Now,
The probability of randomly selecting a chocolate-chip cookie, eating it, and then randomly selecting a sugar cookie
= 1/2 X 6/23
= 3/23
Thus,
The probability of randomly selecting a chocolate-chip cookie, eating it, and then randomly selecting a sugar cookie is 3/23.
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Please help me, really need help
The pair of 1st line is vertical opposite angle and 2nd one is adjacent angles.
What is vertical opposite angle ?
When 2 lines meet one another, then the other angles, shaped thanks to intersection ar known as vertical angles or vertically opposite angles. A try of vertically opposite angles ar continuously adequate to one another. Also, a angle and its adjacent angle are supplementary angles, i.e., they add up to a hundred and eighty degrees.
Main body:
1st pair of line intersect each other , so ∠1 = ∠2 by using vertical opposite angle.
2nd pair of line also intersect each other , so ∠3 ,∠4 are adjacent angles.
Hence ,pair of 1st line is vertical opposite angle and 2nd one is adjacent angles.
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Someone pls help it's urgent
Answer: 7
Step-by-step explanation: I got 7. Here's how I got it:
Use the process of elimination. The 2 cannot be divided by 3, because the number (3) we are dividing by, is greater than the primary number (2). If we divided 3 by 2, we would result in a decimal. Then, I took an estimate. I got rid of the 3 because that number would be a low number to divide by 3.
Then I started plugging in numbers:
(6*2) + 5 + 1 + 4 = 22
As we know, 22 is NOT a product of 3.
So, it has to be 7, but I'll prove my answer:
(7*2) + 5 + 1 + 4 = 24
And yes, 24 can be divided by 3 8 times. I hope this helps.
Clarification: I multiply 6 and 7 by 2 because both numbers would go into the 2 boxes.
the length of the sides of a square are initially 0 cm and increase at a constant rate of 7 cm per second. suppose the function f determines the area of the square (in cm2) given a number of seconds, t , since the square started growing. write a function formula for f .
The function of the area of the square is A(t) = 49t².
A function is a relation between the input abd output values.
The length of a square's side starts from 0 cm and increases at a constant rate of 7 cm per second.
Let us assume that the function 'f' determines the area of the square (in cm²)
Also Lets the length of side of square is x
rate of change of length with respect to time can be denoted as (dx/dt) = 7 cm/sec
⇒ x = 7*t
Area of square = ( length of side )²
{as the length of side is 7t} {varies by time}
Area of square A(t) = ( 7*t )²
Therefore, The function of the area of the square is A(t) = 49t².
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An investor invested a total of $2,300 in two mutual funds. One fund earned a 6% profit while the other eamed a 4% profit. If the investor's total profit was $102, how much was invested in each mutual fund?
The amounts in each mutual fund are $500 and $1800. By using a system of equations, the required values are evaluated.
What is a system of equations?The system of equations is a set of one or more equations that intersects at locations called solutions of the system.
The system of equations is solved for solutions in three different methods. They are the Elimination method, Substitution method, and Graphing method.
Calculation:It is given that, an investor invested $2300 in two mutual funds.
Consider the amount invested in two mutual funds as fund1 = x and fund2 = y.
So, we can write the equation for the total investment is
x + y = 2300 ...(1)
The percentage of profit earned from the fund1 = 6% = 0.06
The percentage of profit earned from the fund2 = 4% = 0.04
The total profit for the investor = $102
Then, the equation from this statement is
0.06x + 0.04y = 102 ...(2)
Then the system of equations is
x + y = 2300 ...(1)
0.06x + 0.04y = 102 ...(2)
Applying the substitution method to solve the obtained system of equations.
So, from (1), we can write x = 2300 - y
Then, equation (2) becomes
0.06(2300 - y) + 0.04y = 102
⇒ 6(2300 - y) + 4y = 10200
⇒ 13800 - 6y + 4y = 10200
⇒ 13800 - 2y = 10200
⇒ 2y = 13800 - 10200 = 3600
∴ y = 3600/2 = $1800
So, the value of x is x = 2300 - 1800 = $500
Thus, the amount of investment in two mutual funds is $500 and $1800.
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Amir bought 10 bags of Takis and 2 small waters for $32. Jaishawn bought 4 bags of Takis and 6 small waters for $18. What was the cost of one bag of Takis and the small water?
t = price of bag of takis
w = water price
10t + 2w = 32
4t + 6w = 18
get both equations in terms of w
2w = 32 - 10t
6w = 18 - 4t
multiply first equation by -3
-6w = -96 + 30t
6w = 18 - 4t
add
0 = -78 + 26t
78 = 26t
t = 3
price of taki bag is 3 dollars
plug into any of the formulas and solve for w
6w = 18 - 4(3)
6w = 18 - 12
6w = 6
w = 1
price of water is 1 dollar
make sure this is correct by plugging into one of the formulas and verifying if true
4t + 6w = 18
4(3) + 6(1) = 18
18 = 18
answers are correct
takis are 3 dollars
waters are 1 dollars
hope this helps :)
- jeron
comment if you have questions
look up "solving linear equations" for more information
