Is this an example of a unit rate? 45 miles per hour.
Yes or No

The solution to the system of equations is x = 3 and y = -8.  the two expressions for y and solve for x.

To solve the system of equations using the equal values method, we'll equate the two expressions for y and solve for x.

Given the equations:

y = 5x - 23   ...(Equation 1)

y = 2 1/2 - 3 1/2x   ...(Equation 2)

First, let's simplify Equation 2 by converting the mixed fractions into improper fractions:

y = 2 + 1/2 - 3 - 1/2x

y = 5/2 - 7/2x

Now, we'll equate the two expressions for y:

5x - 23 = 5/2 - 7/2x

To solve for x, we'll eliminate the fractions by multiplying the entire equation by 2:

2(5x - 23) = 2(5/2 - 7/2x)

10x - 46 = 5 - 7x

Next, we'll simplify the equation by combining like terms:

10x + 7x = 5 + 46

17x = 51

To isolate x, we'll divide both sides of the equation by 17:

x = 51/17

x = 3

Now that we have the value of x, we can substitute it back into either Equation 1 or Equation 2 to find the corresponding value of y. Let's use Equation 1:

y = 5(3) - 23

y = 15 - 23

y = -8

Therefore, the solution to the system of equations is x = 3 and y = -8.

Learn more about system of equations here

https://brainly.com/question/13729904

#SPJ11

Over a period of 8 years, with monthly deposits starting at $50 and increasing by $5 each month, and an annual effective interest rate of 10%, we can calculate the accumulated balance at the end of the 8-year period.

To calculate the accumulated balance at the end of 8 years, we need to consider the monthly deposits, the interest earned, and the compounding effects. The annual effective interest rate of 10% needs to be converted to a monthly interest rate.

First, we can calculate the monthly interest rate by dividing the annual effective interest rate by 12 (since there are 12 months in a year). In this case, the monthly interest rate would be (10% / 12) = 0.00833.

Next, we can calculate the accumulated balance using the formula for the future value of an ordinary annuity:

Accumulated Balance = P * [\((1 + r)^n\) - 1] / r

Where:

P = Monthly deposit amount

r = Monthly interest rate

n = Number of compounding periods (in this case, 8 years * 12 months = 96 months)

Plugging in the values, we have:

P = $50 (initial deposit)

r = 0.00833 (monthly interest rate)

n = 96 (number of compounding periods)

Using the formula, we can calculate the accumulated balance at the end of 8 years.

Learn more about compounding here:

https://brainly.com/question/31217310

#SPJ11

Answer: 3.07314074985

Hope this helps!

[7th Grader]

Answer: 5000/1627 or 3.073141

Answer:

4x - 8 = 4x + 12

Step-by-step explanation:

\(4(x - 2) = 2(2x + 6) \\ 4x - 8 = 4x + 12\)

The closest correlation of rates of return between stocks a and b is approximately -0.487 (negative), indicating opposite movements.

The relationship coefficient between two stocks an and b can be determined utilizing the equation:

relationship coefficient = covariance/(standard deviation of stock a * standard deviation of stock b)

Considering that the covariance between the profits of stocks an and b is - 0.073, and the standard deviation of the paces of return is 0.5 for stock an and 0.3 for stock b, we can substitute these qualities into the recipe to track down the connection coefficient.

relationship coefficient = - 0.073/(0.5 * 0.3) ≈ - 0.487

Consequently, the nearest worth of the connection of the paces of return between stock an and b is - 0.487. This negative relationship coefficient demonstrates that the profits of the two stocks will generally move in inverse bearings. At the point when one stock's return is high, the other stock's return is probably going to be low, as well as the other way around.

To learn more about covariance, refer:

https://brainly.com/question/13073632

#SPJ4

(i) When sinФ=2/3 → It lies in Ist and IInd quadrants and the suitable graph is not provided here.

(ii) when cosФ=-1/2 → It lies in IInd and IIIrd quadrants and the suitable graph is A and D.

(iii) when cotФ=3/4 → It lies in Ist and IIIrd quadrants and the suitable graph is E.

(iv) when cosecФ=3/2 → It lies in the Ist quadrant and the suitable graph is not provided here.

What is Quadrant?

(i) When sinФ=2/3

Ф=sin^(-1)(2/3)

Ф=41.81°,138.18°

So it lies in Ist and IInd quadrant.

A suitable graph is not provided here.

(ii) when cosФ=-1/2

Ф=cos^(-1)(-1/2)

Ф=120°,240°

So it lies in IInd and IIIrd quadrant.

A suitable graph is A and D.

(iii) when cotФ=3/4

Ф=cot^(-1)(3/4)

Ф=53.13°,233,13°

So it lies in Ist and IIIrd quadrant.

A suitable graph is E.

(iv) when cosecФ=3/2 or sinФ=2/3

Ф=sin^(-1)(2/3)

Ф=0.729°

So it lies in Ist quadrant.

A suitable graph is not provided here.

(i) When sinФ=2/3 → It lies in Ist and IInd quadrants and the suitable graph is not provided here.

(ii) when cosФ=-1/2 → It lies in IInd and IIIrd quadrants and the suitable graph is A and D.

(iii) when cotФ=3/4 → It lies in Ist and IIIrd quadrants and the suitable graph is E.

(iv) when cosecФ=3/2 → It lies in the Ist quadrant and the suitable graph is not provided here.

To learn more about quadrant visit:

https://brainly.com/question/25038683

#SPJ1

Answer:

40m/s by 3 seconds = 120 meters

Answer:

5/8 + 1/2 = 1 1/8

1/2 = 4/8

5/8 + 4/8 = 9/8

9/8 = 1 1/8

Those are the steps. Sorry for not doing it right earlier.

Step-by-step explanation:

5/8 + 1/2= 5/8+ 1 · 4/2 · 4 = 5/8+ 4/8 = 5 + 4/8= 9/8

It is suitable to adjust both fractions to a common equal, identical denominator for adding, subtracting, and comparing fractions. The common denominator you can calculate as the least common multiple of both denominators - is LCM(8, 2) = 8. It is enough to find the common denominator, not necessarily the lowest, by multiplying the denominators: 8 × 2 = 16. In the following intermediate step, it cannot further simplify the fraction result by canceling.

In other words - five-eighths plus one-half is nine-eighths.

In the study conducted by John Darley and Bibb Latané, the number of people present in the room with the participant served as an independent variable, as it was manipulated by the researchers to observe its effects on helping behavior.

Specifically, the researchers examined how the presence of other people in the room would affect whether or not the participant would choose to help in a given situation. By changing the number of people present in the room, the researchers were able to measure the effects of diffusion of responsibility on helping behavior.

Diffusion of responsibility is a phenomenon in which individuals are less likely to help a victim when they are in the presence of other people, as they assume that someone else will take responsibility. Therefore, the number of people present in the room was an important variable in the study, as it allowed the researchers to measure how the presence of others affected helping behavior.

know more about researchers here

https://brainly.com/question/24174276#

#SPJ11

Answer:

Domain- -4,-2,0,2 Range- -3,0,2,3,5

Step-by-step explanation:

(x,y)

The domain is the x

The range is the y

And if the number is there more than once you only have to list it once.

Typically you list them from least to greatest so the smallest number the higher number.

Sierra would travel approximately 316 feet in five revolutions.

We know that a revolution is equal to the circumference of a circle with a radius of 10 feet. The formula for circumference is:circumference = 2πr, where r is the radius of the circle.Using this formula, we can calculate the circumference of the carousel:circumference = 2π(10)circumference = 20πSo, one revolution of the carousel covers a distance of 20π feet.

In five revolutions, Sierra would travel a distance of:distance = 5(20π)distance = 100π feet.Now, we need to take into account that Sierra is located 1.5 feet from the edge of the car.

This means that the total distance she would travel is 100π + 1.5 x 2 x 5 = 100π + 15 feet, or approximately 315.7 feet.Rounding this off to the nearest whole number, Sierra would travel approximately 316 feet in five revolutions.

To know more about revolutions visit:

https://brainly.com/question/29158976

#SPJ11

Rounding to the nearest whole number, the approximate volume of the mountain is 36 cubic kilometers.

Volume is a measure of the amount of space that a three-dimensional object occupies or contains. It is typically measured in cubic units, such as cubic meters, cubic centimeters, or cubic feet.

In the given question,

The volume of a cone can be calculated using the formula V = (1/3)πr²h, where r is the radius of the base, h is the height, and π is approximately 3.14.

Substituting the given values, we get:

V = (1/3) × 3.14 × 3² × 3.8

V ≈ 35.63

Rounding to the nearest whole number, the approximate volume of the mountain is 36 cubic kilometers.

To know more about volume, visit:https://brainly.com/question/30984370

#SPJ1

The equation of the line passing through the points (0, 2) and (3, 0) is

The equation of the line passing through the points (0, -4) and (5, -1) is

The slope between the points (4,5) and (‐3, 6) is -1/7.

The equation of a line in slope intercept form is written as

y = mx + c

where

m = slope and c is the y- intercept

From the graph points (0, 2) and (3, 0) is used

To find the equation of the line passing through the points (0, 2) and (3, 0), we can use the point-slope form of the equation of a line, which is:

y - y1 = m(x - x1)

m = (y2 - y1) / (x2 - x1)

m = (0 - 2) / (3 - 0)

m = -2/3

substitute in the point-slope form of the equation of a line. using point (0, 2):

y - y1 = m(x - x1)

y - 2 = (-2/3)(x - 0)

y - 2 = (-2/3)x

y = (-2/3)x + 2

For the second line points (0, -4) and (5, -1) is used

m = (-1 + 4) / (5 - 0)

m = 3/5

Using point (0, 4)

y - y1 = m(x - x1)

y - 4 = (3/5)(x - 0)

y - 4 = 3/5 x

y = 3/5 x + 4

The slope between two points (x1, y1) and (x2, y2) can be calculated using the formula:

slope = (y2 - y1) / (x2 - x1)

slope = (6 - 5) / (-3 - 4)

slope = 1 / (-7)

slope = -1/7

Learn more about linear functions at:

https://brainly.com/question/15602982

#SPJ1

The cross section is shaped like a circle.

A cone is a three-dimensional geometric object with a flat base and a smooth transition to the apex or vertex.

If a cone is sliced such that the cross section is perpendicular to its base and intersects its vertex, the cross section will be a circular shape. This is because the cross section cuts through the entire cone at a right angle, producing a circle that is defined by the curved surface of the cone and the slicing plane. The diameter of the circle is equal to the base diameter of the cone, and its center is located at the midpoint of the base.

To learn more about circle here:

https://brainly.com/question/29142813

#SPJ4

Answer:

13.2 g

Step-by-step explanation:

let x = grams sugar in a 200 ml glass

16.5 g sugar / 250 ml = x g sugar / 200 ml

x(250) = (16.5)(200)

x =  (16.5)(200) / (250) = 3300 / 250 = 13.2

Answer:  there are 13.2 g sugar in a 200 ml glass of juice

The speed of the cyclist in still air is 13 mph

Let the speed of the cyclist in still air be x mph

when she rides with the wind her speed = (x + 3) mph

when she rides against the wind her speed = (x - 3) mph.

Mathematically we can represent the problem as:

16 / (x + 3) = 10 / (x - 3)

cross multiplying and simplifying

16 (x - 3) = 10 (x + 3)

16x - 48 = 10x + 30

6x = 78

x = 13

Learn more about speed of the wind at

https://brainly.com/question/29801913

#SPJ1

The solution to the equation 3.3 + 4x = -6.9x + 6.6, rounded to the nearest tenth, is x ≈ 0.3.

To solve the equation 3.3 + 4x = -6.9x + 6.6, we need to isolate the variable x on one side of the equation.

First, let's simplify the equation by combining like terms:

3.3 + 4x = -6.9x + 6.6

Next, let's move the variable terms (4x and -6.9x) to one side and the constant terms (3.3 and 6.6) to the other side:

4x + 6.9x = 6.6 - 3.3

Combine the x terms on the left side:

10.9x = 3.3

Now, divide both sides of the equation by 10.9 to solve for x:

x = 3.3 / 10.9

Using a calculator, we can find the decimal approximation of x:

x ≈ 0.3028

Rounding to the nearest tenth, the solution to the equation is x ≈ 0.3.

In summary, the solution to the equation 3.3 + 4x = -6.9x + 6.6, rounded to the nearest tenth, is x ≈ 0.3.

To learn more about the equation;

https://brainly.com/question/12788590

#SPJ1

There are

four different scales

that can be used.

To determine the appropriate measurement scales for the survey in the in-restaurant product tests, there are a few factors to consider. The measurement scale refers to the type of data that is collected and how it is categorized. In this case, since it is a survey conducted in a restaurant setting, you would likely use the following measurement scales:

1.

Likert scale:

This scale allows participants to rate their opinions or attitudes on a particular aspect of the tested product. For example, you could ask participants to rate the taste of the food on a scale of 1 to 5, with 1 being "poor" and 5 being "excellent."

2.

Nominal scale:

This scale involves assigning categories or labels to the collected data. In the context of a restaurant product test, you could use this scale to gather information on demographic factors such as age groups or gender. For instance, participants could be asked to select their age group from options like "18-24," "25-34," and so on.

3.

Ordinal scale:

This scale allows participants to rank their preferences or choices. For example, participants could be asked to rank different aspects of the product, such as the presentation, quality, or service, in order of importance.

4.

Interval scale:

This scale involves measuring data on a continuous scale with equal intervals between points. In the context of a restaurant product test, this scale might be used to gather information on factors like the temperature of the food or the waiting time. Participants could rate these factors on a scale of 1 to 10, where 1 is "very cold," and 10 is "very hot."

It's important to select the appropriate measurement scales for each question in the survey to ensure accurate and meaningful data collection. Consider the type of information you want to gather and how you plan to analyze and interpret the results.

To know more about measurement scales:

https://brainly.com/question/30592531

#SPJ11

Probability of

=0.0403.

The probability that exactly two of the 14 students selected with replacement will wear wrist watches is 3/30 * 2/29 * 27/28 * 26/27 = 0.0437.

The probability that exactly two of the 14 students selected without replacement will wear wrist watches is 3/30 * 2/29 * 26/28 * 25/27 = 0.0403.

Learn more about probability

brainly.com/question/28336521

#SPJ11

Answer:

Step-by-step explanation:

For every £2 Jan gets, Cole gets £3.

10 ÷ 2 (Jan) × 3 (Cole) = 15

Answer:

6.5

Step-by-step explanation:

Cos = Adjacent/Hypotenuse

For the angle with the measure of 70°

Adjacent = x

Hypotenuse =  19

Hence, cos 70 = x/19

multiply both sides by 19

cos(70) * 19 = 19cos(70)

x/19 * 19 = x

we're left with x = 19cos(70)

19cos(70) = 6.5 ( rounded to the nearest tenth )

x = 6.5

I hope this is help full to u

thank you

The image of the infield of the baseball stadium is missing and so i have attached it.

This is about the area of regular objects.

Length of each side of the infield = 9 inches

Formula for area of a square is; A = side x side

Since the infield is a square shape, then we have;

side² = 81

side = \(\sqrt{81}\)

side = 9 inches

Read more at; https://brainly.com/question/18789852

Answer: Answer provided by our tutors

1 dime = 10 cents

1 nickel = 5 cents

Let

d = the number of dimes, d>0, d is integer

n = the number of nickels, n>0, n is integer

Carter has 37 coins totaling $3.10 = 310 cents ($1 = 100 cents):

d + n = 37

10d + 5n = 310

Step-by-step explanation: hope this help, hit me up if it do

Answer:

814 + 64 = 878

Step-by-step explanation:

just take the # from the previous day and add the 64.

When it says more, add when it says less, subtract.

Answer:

(a) f (w)=50w+25

b number of flowers for a given number of weeks

(c) f (30)=1525

Step-by-step explanation: hope this helps :)

A function is said to be a composite function when a function is written in another function. The composite function that represents the number of flowers is \(f(w) = 50w + 25\) and the number of flowers for 30 weeks is 1525.

Given that:

\(f(s) = 2s + 25\)

\(s(w) = 25w\)

The number of flowers to bloom over w weeks is calculated using the following composite function: f(w)

\(f(s) = 2s + 25\)

Replace s with s(w)

\(f(s(w)) = 2(s(w)) + 25\)

Substitute \(s(w) = 25w\)

\(f(s(w)) = 2(25w) + 25\)

\(f(s(w)) = 50w + 25\)

Hence:

\(f(w) = 50w + 25\)

The units of the measurement of f(w) is flowers

The number of flower for 30 weeks means:

\(w = 30\)

So, we have:

\(f(30) = 50 \times 30 + 25\)

\(f(30) = 1525\)

Hence, the number of flowers for 30 weeks is 1525

Read more about composite functions at:

https://brainly.com/question/8308119

According to the student question, the sampling distribution of the proportion of people who respond "yes" in the samples of 4 individuals is binomial because the number of people who respond "yes" has binomial distribution. The correct answer is A.

The sampling distribution of the proportion of people who respond "yes" in the samples of 4 individuals is binomial because the sample size is sufficiently small and each person's response is independent of the others.

Binomial distribution is used to model the number of successes in a fixed number of independent trials, where the probability of success is constant for each trial. In this case, the proportion of people who respond "yes" is the number of successes out of the total number of trials (i.e., 4 people).

Moreover, the responses of each individual are independent of each other, meaning that the probability of one person answering "yes" does not affect the probability of another person answering "yes."  The correct answer is A.

Your question is incomplete but most probably your full question was

Samples of four people were asked whether gun laws should be more stringent. Respondents had a choice to answer "yes" or "no." The sampling distribution of the proportion of people who respond "yes" in the samples of 4 individuals is

a.  Binomial because the number of people who respond "yes" has binomial distribution

b. Not possible to say because the sample size it too small

c. Not possible to say because population distribution is not known

d. Normal

Learn more about binomials distribution at https://brainly.com/question/31197941

#SPJ11

The efficiency of the Zumba class system is approximately 69.2%, and its utilization is approximately 54.5%.

To calculate the efficiency of the system, we can divide the actual output (number of employees trained) by the designed capacity (maximum number of employees that can be trained per month) and multiply by 100 to get a percentage.

Efficiency = (Actual Output / Designed Capacity) * 100

Efficiency = (600 / 850) * 100 = 70.6%

Therefore, the efficiency of the system is approximately 70.6%.

To calculate the utilization of the system, we can divide the actual output (number of employees trained) by the capacity (maximum number of students per month) and multiply by 100.

Utilization = (Actual Output / Capacity) * 100

Utilization = (600 / 1100) * 100 = 54.5%

Therefore, the utilization of the system is approximately 54.5%.

The Zumba class system at the local gym has an efficiency of approximately 69.2% and a utilization rate of approximately 54.5%. The efficiency indicates how well the system is performing relative to its designed capacity, and in this case, it suggests that the system is operating at a reasonably high level. The utilization rate, on the other hand, indicates how much of the available capacity is being utilized, and in this case, it suggests that the system is operating at around half of its maximum capacity. This information can be used by the gym to evaluate the performance of their Zumba class program and make informed decisions regarding resource allocation and potential improvements.

To know more about Efficiency, visit

https://brainly.com/question/15418098

#SPJ11

Answer:

Therefore, over a period of 15 years, the account balance will be higher if Johnny deposits $150 a month than if he deposits $75 a month for 30 years.

Step-by-step explanation:

Johnny should choose the option that deposits $150 a month for 15 years, because this will result in the highest account balance. This is due to the effect of compound interest; when a person invests in an account with compound interest, their balance will increase by more each period due to the interest they earn being added to their principal balance.

Therefore, over a period of 15 years, the account balance will be higher if Johnny deposits $150 a month than if he deposits $75 a month for 30 years.

Know more about compound interest, https://brainly.com/question/28020457

#SPJ11

Answer:

\(n = \frac{r}{\sqrt[nt]{\frac{a}{p}} -1 }\)

Step-by-step explanation:

\(a=p(1+\frac{r}{n} )^{nt}\)

\(\frac{a}{p} =(1+\frac{r}{n} )^{nt}\)

\(\sqrt[nt]{\frac{a}{p}} =(1+\frac{r}{n} )\)

\(\sqrt[nt]{\frac{a}{p}} -1 =(\frac{r}{n} )\)

\(n = \frac{r}{\sqrt[nt]{\frac{a}{p}} -1 }\)

[ Do not confuse, as there are 2 n's, one in subject and another as power. We can never make the power or in a root, the subject. In order to solve for n, we have to make the character "n", the subject. ]