a one way train ticket in the city costs $1.95. A monthly pass costs $50. For what numbers of rides should you buy the monthly pass?

Answer: the maximum profit per holiday is 31050 pesos

Step-by-step explanation:

y=-0,015x²+45x-2700   (1)

It`s a quadratic equation like y=ax+bx+c

Therefore, the value of x at which y is maximal is:

[tex]\displaystyle\\x=\frac{-b}{2a} \\\\x=\frac{-45}{2(-0.015)} \\\\x=\frac{-45}{-0.03} \\\\x=\frac{45(100)}{0.03(100)}\\\\x=\frac{4500}{3} \\\\x=\frac{3(1500)}{3} \\\\x=1500[/tex]

Substitute the value of x into equation (1):

[tex]y=-0,015(1500^2)+45(1500)-2700\\\\y=-0.015(15*10^2)^2+67500-2700\\\\y=-0.015(15^2)(10^4)+64800\\\\y=-0,015*225*10^4+64800\\\\y=-150*225+64800\\\\y=-33750+64800\\\\y=31050 \ pesos[/tex]

The value of KM is 20

A line, ray, line segment, or point that cuts a line segment at its center and divides it into two equal portions is known as a segment bisector. A segment is a section of a line with definite ends, which is also how the word segment is sometimes used. Any object or line is divided into two equal halves when it is bisected. Consequently, when two line segments cut or bisect each other at a location that divides the lines into equal halves, this is known as a segment bisector.

Given that : The line q bisects KM at point V, KV = 2.5z and VM = 5z - 10

the line q bisects KM at point V so KV = VM

KV = 2.5z

VM = 5z - 10

2.5z= 5z - 10

10 = 2.5z

4 = z

Now put the value of 4 in KV and VM

KV = 2.5(4)

VM = 5(4) - 10

KV + 10

VM = 10

KM = KV + VM
KM = 10 + 10

= 20

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The experimental probability of the roll is greater than the theoretical probability

Probability is the likelihood of a desired event happening.

Experimental probability is a probability that relies mainly on a series of experiments.

Theoretical probability is the theory behind probability. To find the probability of an event, an experiment is not required. Instead, we should know about the situation to find the probability of an event occurring.

Given that:

Jeffrey rolled a 12-sided dice 15 times and it landed on a number greater than 10 three times

Experimental probability = 3/15 = 1/5

But theoretically,  a number greater than 10 in 12-sided dice have the probability of 2 out of 12 as illustrated with the numbers below:

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12

Theoretical probability = 2/12 =1/6

Therefore, the experimental probability (1/5) of rolling a number greater than 10 is greater than the theoretical probability (1/6)

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The angle of BDC is 60 degrees.

The angle sum property of a triangle states that the sum of a triangle's three internal angles is 180 degrees. A triangle is a closed figure made up of three line segments that have both internal and external angles. When the values of the other two angles are known, the measure of an unknown interior angle can be determined using the angle sum property.

The data listed above can be inserted into our diagram. ADB and BDC complement one another, therefore their combined degree measurement is 180. Thus, m∠ADB is equal to 180 – 60, or 120 degrees.

Given,

∠ADC = 59

∠BDC = ?

∠ADB = ∠BCD

∠BCD = 90

∠ADB = 90

∠ADC = 59

∠ADB + ∠BDC = 59

90 + ∠BDC = 59

∠BDC = -31

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The polynomial identity can be used to prove that 61 = 125 − 64 is the difference between cubes therefore, option (a) is correct.

The number system is a way to represent or express numbers.

Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers.

Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.

As per the given polynomial,

61 = 125 - 64

It is known that a³ = a × a × a

Therefore, 5³ = 5 × 5 × 5 = 125

And, 4³ = 4 × 4 × 4 = 64

Therefore, 61 = 5³ - 4³

Hence "The polynomial identity can be used to prove that 61 = 125 − 64 is the difference between cubes".

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The simplified expression of (5x⁶y²)³ is 125[tex]x^{18}y^{6}[/tex] which is expressed using the positive exponents.​

A positive exponent indicates that the base should be multiplied by that many.

For instance, 10 should be multiplied by 10x10x10, or 1000, if the number is 103. The variable x should be multiplied by itself nine times if the variable is x raised to 9.

It is possible to simplify exponents by putting exponent-containing algebraic formulas into a simpler form that prevents further simplification.

The given expression is (5x⁶y²)³

Simplifying it further we get,

(5x⁶y²)³ = 125[tex]x^{18}y^{6}[/tex]

Therefore, the simplified expression of (5x⁶y²)³ is 125[tex]x^{18}y^{6}[/tex] which is expressed using the positive exponents.​

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Answer:

Step-by-step explanation:

1 to the 10th power is 1.

The inequality for the statement: the difference between a number and seven eighths exceeds negative two thirds is g - 7/8 > -2/3.

The correct answer option is option c

Let

difference between a number and seven eighths

g - 7/8

difference between a number and seven eighths exceeds negative two thirds

g - 7/8 > -2/3

The options;

A. g plus 7 over 8 is greater than 2 over 3

g + 7/8 > 2/3

B. g minus 7 over 8 is less than or equal to negative 2 over 3

g - 7/8 ≤ -2/3

C. g minus 7 over 8 is greater than negative 2 over 3

g - 7/8 > -2/3

D. g minus 7 over 8 is less than negative 2 over 3

g - 7/8 < -2/3

So therefore, the inequality statement can be written as g - 7/8 > -2/3.

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In linear equation, the best point estimate of mean monthly electric bill is $65 .

What in mathematics is a linear equation?

The sample mean is an unbiased estimate of the population mean μ.

Thus, the best point estimate of mean monthly electric bill is $65 .

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a.  4 million registered voters in the state where  the 5,000 registered voters is drawn from the pool of registered voters.

Options: a. 4 million registered voters in the state

b. 5,000 registered voters interviewed

c. 54 %,  voters interviewed who plan to vote for him

d. 46 %,  voters interviewed who plan not to vote for him

The population of interest is the group from which a sample set is collected. Here, the 5,000 registered voters is drawn from the pool of registered voters. The people surveyed are representative of the total number of voters. The population of interest here is the 4 million registered voters.

For example, if a survey is carried out to figure out the age that kids start walking, the population of interest is kids in general and not just the children who are surveyed.

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Answer: no entiendo la estructura de la operacion

Step-by-step explanation:

Answer:

23cm

Step-by-step explanation:

in this problem the 4cm actually doesnt matter. so what you can dois 7cm+6cm+10cm=answer

7cm+6cm+10cm=23cm

Cluster Sample is the sampling method used in this type of data collection.

Cluster sampling is a sampling technique used in statistics that divides the total population under consideration into externally homogeneous but internally heterogeneous groupings known as clusters. Each cluster essentially serves as a miniature representation of the overall population.

Using simple random sampling, some clusters are picked after the clusters have been identified, while the remaining clusters are left out of the study. A researcher must determine the right sampling strategy for each cluster after identifying the clusters.

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The number with the unit digit equal to x and the tens digit three more than the one's digit is; 30 + 11 X  

The place values on the left of the decimal point start as ones, tens, hundreds, and so on. The place value on the right of the decimal point starts from the point and goes to the right as tenths, hundredths so on...

Given the statement as“the number with the units digit equal to x and the tens digit three more than the ones digit”

We need to convert the statement into the algebraic expression.

We know that unit digit number = X × 1

Then Tens digit number = (3 + X ) 10

Thus, the number = 30 + 10X + X

Hence, the Number = 30 + 11 X  

The number with the unit digit equal to x and the tens digit three more than the one's digit is; 30 + 11 X  

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Answer:

Main can buy 8 tickets.

Step-by-step explanation:

Use the equation total amount ÷ cost of each ticket

Input your information: $36 ÷ $4.50

The equation adds up to 8.

So therefore, Main can buy 8 tickets.

The answer is : 7/18
Step by step:
(0.38 x 10) - 0.3/9
3.5     =      35
----              ----
9                 90

= 7/18

Answer:

Step-by-step explanation:

art I 5.00% per annum ------------- Amount invested =x

Part II 9.00% per annum ------------ Amount invested = y

8000

Interest----- 520.00

Part I 5.00% per annum ---x

Part II 9.00% per annum ---y

Total investment

x + 1 y= 8000 -------------1

Interest on both investments

5.00% x + 9.00% y= 520

Multiply by 100

5 x + 9 y= 52000.00 --------2

Multiply (1) by -5

we get

-5 x -5 y= -40000.00

Add this to (2)

0 x 4 y= 12000

divide by 4

y = 3000

Part I 5.00% $ 5000

Part II 9.00% $ 3000

CHECK

5000 --------- 5.00% ------- 250.00

3000 ------------- 9.00% ------- 270.00

Total -------------------- 520.00

Answer:3x^ - 3y^ + 8xy (^ is ^2 !!)

Step-by-step explanation:

(2x+y)^ - (x-2y)^(2x+y)(2x+y) - (x-2y)(x-2y)4x^ + 2xy + 2xy + y^ - x^ + 2xy + 2xy - 4y^

Answer:

3.868 * 10^9

Step-by-step explanation:

3868000000

=3.868 * 10^9

:]

The slope of the line perpendicular to the line whose equation 2x+3y= 24 is 3/2

The equation of the line is

2x+3y = 24

The standard form of the linear equation is

Ax + By = C

Where A, B and C are the integers

By comparing the standard form of the linear equation with the given equation

A = 2

B = 3

C = 24

The slope of the equation in standard form m = - A/B

Substitute the values in the equation

The slope of the equation in standard form m = -2/3

Slope of a line perpendicular to the line = -1/m

= -1/(-2/3)

= 3/2

Hence, the slope of the line perpendicular to the line whose equation 2x+3y= 24 is 3/2

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Answer: Summary: The equation which represents the inverse of the function f(x) = 4x is h(x) = 1/4 x.

Step-by-step explanation: THERE IS NO EXPLANATION

(hope this helps) :)

Answer:

0.724

Step-by-step explanation:

percent means ' out of 100 ' , then

72.4% = [tex]\frac{72.4}{100}[/tex] = 0.724

The value of square root of √28 will be;

⇒ 4√7 = 5.28

What is square root of a number?

A square root of a number is a value that multiplied by itself gives the same number.

Given that;

The number is,

⇒ √28

Now,

Let the value of square root of √28 is find as;

Since,

28 = 2 x 2 x 7

Hence,

⇒ √28 = √2 x 2 x 7

⇒ √28 =  2√7

⇒ √28 = 2 x 2.64

⇒ √28 = 5.28

Therefore,

The value of square root of √28 will be;

⇒ 4√7 = 5.28

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The turtle's depth relative to sea level after the first minute is 1.2 yards.

Given,

The depth where the turtle descends, d = -3/4 yards

The speed of turtle relative to sea level, t = 5/8 minutes.

We have to find the turtle's depth relative to sea level after the first minute.

The rate at which the turtle descends, r = d/t

r = d/t

r = (-3/4) / (5/8)

r = -3/4 × 8/5

r = -6/5 yards/minute

r = -1.2 yards/min

Now, the depth of turtle after the one minute, D = rt

Where, r = -1.2 yards/min and t = 1 min

Then,

D = -1.2 × 1 = -1.2 yards

That is,

The turtle's depth relative to sea level after the first minute is 1.2 yards

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The height of the part of the post that is above the ground is 10 - 3(1/3)

= 6(2/3) feet.

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The percentage of New Yorks state teachers that earn between $7000 and $75000 is 13.63%.

Let the salary of the teachers be represented as x.

Mean = $81410

Standard deviation = $9500

In this case, the probability for normal distribution will be used. This is illustrated as P(a < Z < b).

where a = lower number.

b = higher number

Therefore, the probability of earning the amount will be:

P(70000 < X < 75000)

= P[(70000 - 81410/9500) < Z < (75000 - 81410/9500)

= P(-1.20 < Z < -0.67)

Using the z table to look for the value

= 0.8849 - 0.7486

= 0.1363

= 13.63%.

Therefore, the probability is 13.63%.

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in new york state, the mean salary for high school teachers in 2017 was $81,410 with a standard deviation of $9,500. only alaska’s mean salary was higher! assume new york’s state salaries follow a normal distribution. What is the percentage of New Yorks state teachers that earn between $7000 and $75000?

Step-by-step explanation:

I hope this helps you with your answer

The key feature of the function H(X) = 0.6X + 38 at H(0) is 3.8

Function:

A function is defined as the an expression, rule, or law that defines a relationship between one independent variable and another dependent variable.

Given,

Here we have the function H(X) = 0.6X + 3.8 models the height in inches of a stack of X cups.

And we need to find the key features is at H(0).

To find the key feature at H(0), then we have to simple apply the value of X as 0,

Like the following, we have to replace the X value in the function with 0, then we get the expression like the following,

=> H(0) = 0.6(0) + 3.8

=> H(0) = 0 + 3.8

H(0) = 3.8

Therefore, the key feature at H(0) is 3.8.

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Answer:B - 24

Step-by-step explanation:

12 x 2 = 24
24 x 1 = 24