Lyft and Uber are two rival ride-share companies. Lyft charges a $2.50 initial fee and 15 cents per mile. Uber charges an initial fee of $1.00 and 20 cents per mile. After how many miles do both ride-share companies charge the same amount?

The solution of the equation is c= 2/5 and d= 3/2.

We have Equation.

5c + 4d = 8

-5c + 2d = 1

Solving above equation we get

5c + 4d = 8

-5c + 2d = 1

___________

         6d = 9

          d = 3/2

and, 5c + 4(3/2)= 8

5c = 8 - 6

5c = 2

c= 2/5

Learn more about Equation here:

https://brainly.com/question/29657983

#SPJ1

The first term, a1, in the geometric series is -3.

What is Geometric Series?

A geometric series is a series for which the ratio of two consecutive terms is a constant function of the summation index. The more general case of a ratio and a rational sum-index function produces a series called a hypergeometric series. For the simplest case of a ratio equal to a constant, the terms have the form

To find the first term, a1, in a geometric series given the sum, Sn = 93, the common ratio, r = 2, and the number of terms, n = 5, we can use the formula for the sum of a geometric series:

Sn = a1 * (1 - r^n) / (1 - r)

Plugging in the given values, we have:

93 = a1 * (1 - 2^5) / (1 - 2)

Simplifying the expression:

93 = a1 * (1 - 32) / (-1)

93 = a1 * (-31)

Now we can solve for a1 by dividing both sides of the equation by -31:

a1 = 93 / -31

a1 = -3

Therefore, the first term, a1, in the geometric series is -3.

To learn more about Geometric Series from the given link

https://brainly.in/question/13322627

#SPJ4

Answer: 12

Step-by-step explanation:

Answer: 2 and 3, 150, continued its journey

Step-by-step explanation:

The probability that on exactly one of these three occasions the voter approves of the mayor's work is given as follows:

0.189 = 18.9%.

The mass probability formula, giving the probability of x successes, is of:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are given by:

The values of these parameters in the context of this problem are given as follows:

n = 3, p = 0.7.

Then the probability of exactly one success is calculated as follows:

P(X = 1) = 3!/(1!2!) x 0.7 x (0.3)² = 0.189 = 18.9%.

The proportion of voters that approve the mayor's work is of 70%.

More can be learned about the binomial distribution at https://brainly.com/question/24756209

#SPJ1

Step-by-step explanation:

Let x and y be two integers

x * y = 132

x + y = -23

x= -23 - y

y(-23 - y) = 132

-23y - y^2 = 132

y^2 +23y + 132 = 0

(y + 11) (y + 12) = 0

y = -11 or - 12

If y = -11 then x + (-11) = -23 -> x = -12

If y = -12 then x + (-12) = -23 -> x = -11

So the two integers are -11 and -12

If the price of good x increases, the demand curve for good Y to shift to the right.

Complement goods are defined as the goods that a consumer likes to consume with a given good. Example of goods like it , peanut butter and jelly.

Substitute goods are those goods that a consumer could consume instead of a given good. For example, peanut butter and almond butter. The Market Equilibrium is used to define the intersection between the demand and supply curve. In other words, the market equilibrium occurs when price and quantity are same.o

When the price of a substitute , x increases, the demand for the second good increases. That is to say, there is a positive relationship between these two variables. In other words the price of good x increased , the demand for x will increase because it is more attractive for consumers. Therefore, the demand curve of y all shifts to the right.

To learn more about market Equilibrium, refer:

https://brainly.com/question/13984729

#SPJ4

\(\stackrel{\widehat{FI}}{85}~~ + ~~\stackrel{\widehat{IH}}{(50+x)}~~ + ~~\stackrel{\widehat{HG}}{(-9x-10)}~~ + ~~\stackrel{\widehat{GF}}{(-15x+5)}~~ = ~~360 \\\\\\ 130-23x=360\implies 130=360+23x\implies -230=23x\implies \cfrac{-230}{23}=x \\\\\\ -10=x\hspace{9em}\stackrel{\widehat{GF}}{-15(-10)+5}\implies \text{\LARGE 155}^o\)

the extraneous solution for the equation √ x - 3 = x - 5 is x = 4 or x = 7.

We are given an equation:

√ x - 3 = x - 5

Raise both sides to the power 2, we get that:

x - 3 = ( x - 5 )²

x - 3 = x² + 25 - 10 x

x² - 10 x - x + 25 + 3 = 0

x² - 11 x + 28 = 0

x² - 7 x - 4 x + 28 = 0

x( x - 7) - 4( x - 7) = 0

( x - 4 ) ( x - 7 ) = 0

x = 4 or x = 7.

Therefore, we get that, the extraneous solution for the equation √ x - 3 = x - 5 is x = 4 or x = 7.

Learn more about equation here:

https://brainly.com/question/1214333

#SPJ4

The equation that needs to be solved to find how old the snake is when it is 4 feet 3 inches long is L(m) = 51 inches. The snake's age when it is 4 feet 3 inches long is 19 months.

The length L of a Brazilian snake m months after birth is L(m) = 3(m-8)-5 inches.

(a) The function notation that needs to be solved to find how old the snake is when it is 4 feet 3 inches long is:

L(m) = 3(m-8)-5 = 51 inches.

We need to convert the length of 4 feet 3 inches into inches because the equation is given in inches. So, 1 foot is equal to 12 inches. Therefore, 4 feet is equal to 48 inches. Adding 3 inches to 48 inches gives us a length of 51 inches.

(b) The age of the snake when it is 4 feet 3 inches long is given by the solution of the equation:

L(m) = 3(m-8)-5 = 51 inches.

Solving for m, we get m = 19

Therefore, the snake is 19 months old when it is 4 feet 3 inches long.

To know more about the Brazilian snake, visit:

brainly.com/question/31566149

#SPJ11

Answer: -8x^2 -2x+13

Step-by-step explanation:

group liked terms

-6x^2-2x^2-2x+5+8

Add numbers 5+8=13

-6^2-2x^2-2x+13

add similiar elements -6x^2-2x^2=-8x^2

-8x^2 -2x+13

Answer:

step one simply hope it helped!

Step-by-step explanation:

Answer:

Step-by-step explanation:

Out of 12 consecutive integers:

Sum of 3 integers will be divisible by 4 if the remainders are:

So total number of combinations is:

(a) The predictor variable is Fall in feet and the response variable is Duration in seconds.

(b) The slope is in seconds per foot.

(c) The slope may be negative, as greater drop heights generally result in longer travel times.

(a) The predictor variable in this regression is Drop, which represents the drop height of the roller coaster, in feet, in feet. The response variable is Duration, which represents the duration of the trip, in seconds, in seconds.

(b) The units of slope in this regression are seconds per foot. This means that for each unit of increase in descent height in feet, the travel time will increase or decrease the value of the slope, measured in seconds per foot.

(c) The slope can be negative, as greater drop heights generally result in longer ride times, and the Tower of Terror roller coaster, which was exceptionally short despite its large drop height, has were removed from the analysis.

Therefore, the remaining 90 roller coasters in the dataset likely exhibit a negative relationship between drop height and time, meaning that as drop height increases, ride time decreases .

The Low R-value squared 29.4% means that the relationship between roller coaster drop and ride time in the data set is highly variable, but the negative slope indicates a general downward trend.

Learn more about Slope:

https://brainly.com/question/3605446

#SPJ4

Math is considered to have a sequential learning pattern because concepts and skills are introduced in a specific order, building upon previously learned material.

In math, concepts and skills are typically organized in a sequential manner, where each new topic builds upon what has been previously learned. This sequential learning pattern allows students to develop a solid foundation and gradually progress to more advanced topics.

For example, in elementary school, students first learn basic arithmetic operations like addition and subtraction before moving on to multiplication and division. These foundational skills are essential for understanding more complex mathematical concepts later on, such as algebra, geometry, and calculus. By following a sequential learning pattern, students can gradually develop their mathematical understanding and problem-solving abilities. They are able to connect new concepts to what they have already learned, reinforcing their knowledge and enabling them to apply it in different contexts. This sequential approach also ensures that students have the necessary prerequisite knowledge and skills to comprehend more advanced mathematical concepts. It helps create a logical progression in mathematical education, allowing students to build upon their previous knowledge and continually expand their mathematical abilities.

learn more about calculus here:
https://brainly.com/question/22810844

#SPJ11

According to the question, the probability that a new oil filter is needed given that the automobile's oil is being changed is 0.20.

To find the probability that a new oil filter is needed given that the automobile's oil is being changed, we can use conditional probability.

Let's define the events:

A: The car needs an oil change.

B: Both the oil and the filter need changing.

We are given:

\(P(A) = 0.30\) (probability that a car needs an oil change)

\(P(B) = 0.20\) (probability that both the oil and the filter need changing)

We need to find P(B|A), which represents the probability that both the oil and the filter need changing given that the car needs an oil change.

The conditional probability formula is given by:

\(\[ P(B|A) = \frac{P(A \cap B)}{P(A)} \]\)

In this case, P(A ∩ B) represents the probability that both events A and B occur.

Since we know that P(B) = 0.20, we can rewrite P(A ∩ B) as:

P(A ∩ B) = P(B) * P(A|B)

P(A|B) represents the probability that a car needs an oil change given that both the oil and the filter need changing.

We can rearrange the conditional probability formula as follows:

P(A ∩ B) = P(A|B) * P(B)

Substituting the given values:

P(A ∩ B) = P(A|B) * 0.20

Now we can solve for P(A|B):

\(\[ P(A|B) = \frac{P(A \cap B)}{P(B)} \]\)

\(\[ P(A|B) = \frac{P(A|B) \times 0.20}{0.20} \]\)

Simplifying, we can cancel out the 0.20:

P(A|B) = P(A|B)

This means that the probability of needing a new oil filter given that the oil is being changed is equal to the conditional probability of needing an oil change given that both the oil and the filter need changing.

Therefore, the probability that a new oil filter is needed given that the automobile's oil is being changed is equal to the conditional probability of needing an oil change given that both the oil and the filter need changing, which is 0.20.

Hence, the probability that a new oil filter is needed given that the automobile's oil is being changed is 0.20.

To know more about Formula visit-

brainly.com/question/31062578

#SPJ11

Answer:

60

Step-by-step explanation:

m(ADB) + m(BDC) = 90°

(3x+9) + (2x -4) = 90°

5x + 5 = 90°

5x = 85

5x/5 = 85/5

x = 17

m(ADB) = 3x + 9

3.17 + 9 = 51 + 9 = 60

Hope this helps ^-^

Answer: 60°

Step-by-step explanation:

Looking at the figure, we know that the angles add up to 90°. We add both equations and solve for x.

3x+9+2x-4=90          [combine like terms]

5x+5=90                    [subtract both sides by 5]

5x=85                        [divide both sides by 5]

x=17

Now that we know x, we can plug it into ADB to find the angle.

3(17)+9                      [multiply]

51+9                          [add]

60

Now, we know that ADB is 60°.

Answer:

I think the answer is 35x⁴-10

Step-by-step explanation:

3x × 4x=12x²

3x × 5=15x

2 × 4x=8x

2 × -5=-10

15x+8x=23x²

12x²+23x²=35x⁴

35x⁴-10

The equilibrium constant can be determined using the concentrations of reactants and products at equilibrium. In this case, the initial concentrations of substances A, B, and C are given as [A] = 0.50 M, [B] = 0.75 M, and [C] = 1.2 M, while the equilibrium concentration of C is [C] = 1.0 M.

The equilibrium constant, denoted as K, is defined as the ratio of the product of the concentrations of the products to the product of the concentrations of the reactants, each raised to the power of their stoichiometric coefficients. In this case, the balanced chemical equation is not provided, so we cannot directly calculate the equilibrium constant.

To determine the equilibrium constant, we need the balanced chemical equation representing the reaction. Once the balanced equation is available, we can determine the stoichiometric coefficients and calculate the equilibrium constant using the concentrations at equilibrium. Without the specific reaction, we cannot provide a numerical value for the equilibrium constant.

Learn more about ratio here: https://brainly.com/question/31945112

#SPJ11

Answer:

The average cost this year = $33,093.75

Step-by-step explanation:

The computation of the average cost this year is shown below:

Given that

The average cost for the last year = $31,250

Increased percentage = 5.9%

Based on the above information, the average cost this year is

= The average cost for the last year × (1 + Increased percentage)

= $31,250 × (1 + 0.059)

= $31,250 × 1.059

= $33,093.75

Answer:

Step-by-step explanation:

4 days 9 hours 40 minutes

5/7 = 10/x + 6

5/7 = (10+ 6x)/x

5x = 7(10+6x)

5x = 70+42x

5x - 42x = 70

-37x = 70

x = -70/37

The standard deviation lies in the range of 0 to 1. The numerical value of standard deviation can never be negative.

The standard deviation is a measure of amount of variation or dispersion of a set of values. When we compare two unequal observations, the result is always greater than zero i.e., always positive.

Standard deviation is the square root of the variance of the observations and the root always gives values either positive or zero, it can never be negative.

Therefore, the numerical value of the standard deviation can be positive. The value of standard deviation is always greater or equal to zero.

To know more about standard deviation.

https://brainly.com/question/17084031

#SPJ4

Answer:

descriptive statistics

Step-by-step explanation:

Answer:

its 71%

Step-by-step explanation:

71÷100×100=71%

Answer: 71%

Step-by-step explanation: it’s pretty simple i think, hope this helps!

The expected counts are hypothetical counts that would occur if the null hypothesis were true.

A set of population proportions is expressed as the null hypothesis in a chi-square goodness-of-fit test, which is a hypothesis test. To establish if the sample data support the claim, the sample proportions are contrasted with the population proportions of the null hypothesis. If all of the sample proportions are significantly different from the hypothesized proportions, the null hypothesis is rejected.

Hypothesis:

In statistics, hypothesis testing is used to identify the variance in the group of data that results from genuine variation. Based on the presumptions, the sample data are taken from the population parameter. The hypothesis can be divided into many categories. A hypothesis is described in statistics as a formal statement that explains the relationship between two or more variables belonging to the specified population. It aids the researcher in converting the stated issue into an understandable justification for the study's findings. It explains and foretells the anticipated result in unambiguous terms. It provides examples of various experimental designs and guides the investigation of the research procedure.

To learn more about hypothesis visit: https://brainly.com/question/17173491

#SPJ4

Answer:

94.25 or 94

Step-by-step explanation:

I think this question is asking for the circumference .

The length of each loop of rope is about 8 feet when the rope was coiled into circular loops of about 30 inches in diameter.

To find the length of the rope in each circular loop, we need to calculate the circumference of the circle. The circumference is the distance around the circle and can be calculated using the formula:

Circumference = π * Diameter

Diameter = 30 inches

To find the length in feet, we need to convert the inches to feet. Since there are 12 inches in a foot, we divide the diameter by 12:

Diameter in feet = 30 inches / 12 inches/foot = 2.5 feet

Now, we can calculate the circumference:

Circumference = π * Diameter

Circumference = π * 2.5 feet

To find the approximate length in feet, we need to use an approximation for π. Let's assume π ≈ 3.14:

Circumference ≈ 3.14 * 2.5 feet

Circumference ≈ 7.85 feet

To the nearest foot, the length of each loop of rope is about 8 feet.

To know more about length click here :

https://brainly.com/question/26678811

#SPJ2

Answer:

It would most likely be in the 100's so maybe 105

Answer:

(2/5)

Step-by-step explanation:

(-2/5) = -(2/5)

|-(2/5)| = (2/5)