Create your own unit rate example in which you have to determine the unit rate of two fractions with different units. Explain what the two fractions are, write the scenario, and calculate the unit rate. Do not forget your units and remember to show your work!

Superior segway tours provide sightseeing tours around chicago, illinois. it charges a one-time fee of $55 with $15 per hour.  The slope of the situation is 15.

The slope of a situation represents the rate of change of one quantity with respect to another. In this case, the quantity being considered is the cost of the sightseeing tour, and the independent variable is the number of hours the tour lasts. The cost of the tour can be expressed as a linear equation: C = 55 + 15h, where C is the cost and h is the number of hours. The slope of this equation is 15, meaning that for every hour the tour lasts, the cost increases by $15.

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Answer:

8

Step-by-step explanation:

2+2x3

1. Use pemdas to do it

8

a)

A rectangle is a quadrilateral

A trapezoid is a quadrilateral

Both of them have 4 sides

b)

In the parallelogram, every two opposite sides are equal and parallel

In the trapezoid, only two opposite sides are parallel but not equal

c)

In the square, diagonals are perpendicular

In the rhombus, diagonals are perpendicular

Both of them have perpendicular diagonals

d)

In the rectangle, diagonals are equal

In the rhombus, diagonals are not equal

The total number of tires in the parking lot, is (13×2)+(98×4)=t.

There are 13 bikes and each bike has 2 tires,

so the number of bike tires = number of bikes × number of tires

Thus,  number of bike tires = 13×2.

There are 98 cars and each car has 4 tires,

so the number of car tires = number of cars × number of tires

Thus,  number of car tires = 98×4.

To find the total number of tires (t),

add the number of bike tires and car tires together: (13×2)+(98×4)

Thus, t = (13×2)+(98×4)

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Answer:

when x = -12:

\(\implies y=\dfrac13(-12)-2\)

\(\implies y=-\dfrac{12}{3}-2\)

\(\implies y=-4-2\)

\(\implies y=-6\)

when x = 0:

\(\implies y=\dfrac13(0)-2\)

\(\implies y=0-2\)

\(\implies y=-2\)

Answer:

B) 8 sec

Step-by-step explanation:

So, your answer will be 8, you are right!!

--------------------------------

hope it helps....

have a great day!!

Answer:

1. Equation: x/-9=-16

solution: x=144

2. Equation:15*x=-75

solution: x=-5

3.Equation:0.75n=36

solution: n=48

Step-by-step explanation:

Answer:

-3p-40

Step-by-step explanation:

-(7p+6)-2(-1-2p)

-7p-42+2+4p

-3p-40

The length of EF is 3.8

To do this, we make use of the following law of sines

EF/sin(D)= DE/sin(F)

So, we have:

EF/sin(75)= 3/sin(50)

This gives

EF = sin(75) * 3/sin(50)

Evaluate the product

EF = 3.8

Hence, the length of EF is 3.8

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Answer:

2/6

Step-by-step explanation:

Rashid spent a total of 1 hour and 30 minutes on homework for these three subjects.

If Rashid spent 30 minutes on each piece of homework for three subjects, we can calculate the total time he spent by multiplying the time spent per subject (30 minutes) by the number of subjects (3).

30 minutes * 3 = 90 minutes.

To convert this into hours and minutes, we divide 90 minutes by 60 since there are 60 minutes in an hour.

90 minutes ÷ 60 = 1 hour and 30 minutes.

Therefore, Rashid spent a total of 1 hour and 30 minutes on homework for these three subjects.

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Answer:

y (x² + 1) (x² - 5)

Step-by-step explanation:

   Take 'y' from each term.

x⁴y - 4x²y - 5y = y[x⁴ - 4x² - 5]

Now factorize x⁴ - 4x² - 5.

            Sum = -4

        Product = -5

        Factors =  -5 , 1  

When we add (-5) + 1, it gives (-4) and when we multiply (-5)*1, gives (-5).

x⁴ - 4x² - 5 = x⁴ + x² - 5x² - 5

                 = x²(x² + 1)  -5(x² + 1)

                 = (x²+ 1) (x² - 5)

x⁴y - 4x²y - 5y = y (x² + 1) (x² - 5)

Answer:

\(12x - 3y = 6\)

Step-by-step explanation:

Standard form is written this way: \(Ax+By=C\)

However, in this case, we just have to simplify 8x-3y=6-4x, as it is already mostly in standard form.

So, to do this, we have to combine like terms.

The only like terms that can be combined are -4x and 8x.

So, we add 4x to both sides, and we get: \(12x - 3y = 6\).

To find the common ratio and the first four terms of the geometric sequence {(9^n+2)/(3)}, let's first rewrite the given expression to make it easier to understand i.e. Term a_n = (9^n+2)/3

Now, let's find the first four terms:
a_1 = (9^(1)+2)/3 = (9+2)/3 = 11/3
a_2 = (9^(2)+2)/3 = (81+2)/3 = 83/3
a_3 = (9^(3)+2)/3 = (729+2)/3 = 731/3
a_4 = (9^(4)+2)/3 = (6561+2)/3 = 6563/3

The first four terms are:
a_1 = 11/3
a_2 = 83/3
a_3 = 731/3
a_4 = 6563/3

To find the common ratio, divide the second term by the first term (or any consecutive terms):
Common ratio = a_2 / a_1 = (83/3) / (11/3) = 83/11 = 3

So, the common ratio is indeed 3, and the first four terms are 11/3, 83/3, 731/3, and 6563/3.

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Answer: D. 4x² + 3/2x - 7

Step-by-step explanation:

Answer:

The answer to this is 79% I have just done this problem and found the answer to be as such.

Step-by-step explanation:

The required probability of a point that lies in both circle and square is 0.786.

Given,
Square with side a = 2 units
A circle inscribed in a square with a radius r = 1
If a point is chosen inside the square, what is the probability that it will also be inside the circle is determined.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Area of the circle = πr²
                              = π * 1²
                              = π

Area of the square = a²
                                =  2²
                                = 4

The probability of a point lies in both circle and square,
= Area of circle/area of square
=  π / 4
= 0.785

Thus, the required probability of a point that lies in both circle and square is 0.786.

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It is important to note that while the standard potential (E°) of each half-reaction may be zero in this case, the actual cell potential (E) can still be influenced by factors such as concentrations, temperature, and pressure.

In a cell where the two half-reactions are identical, the standard potential (E°) is equal to zero.

The standard potential (E°) of a half-reaction is a measure of the tendency of a species to gain or lose electrons. It is defined as the potential difference between the half-reaction and a standard reference electrode, usually the standard hydrogen electrode (SHE), under standard conditions (1 M concentration, 1 atm pressure, 25°C temperature).

When the two half-reactions in a cell are identical, it means that they involve the same species undergoing the same oxidation or reduction process. In this case, the half-cell potentials of both half-reactions are equal in magnitude but have opposite signs. The overall cell potential (Ecell) will be the difference between these two potentials, resulting in a net potential of zero.

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Answer:

The answer is 6.3

Step-by-step explanation:

Answer:greengrocer should Dell 17 kg before profit. 500$ profit

Step-by-step explanation:

Answer:

gvvvvvbb

Step-by-step explanation:

gghhhhbbhhjhhhhh

The integral of \((csc x + tan x) dx\)  is \(-ln|csc x - cot x| + C\) and the integral of \((csc x + tan x)^2 dx\) is \(-cot x - ln|csc x - cot x| + C.\)

For the integral \(\int\ (csc x + tan x) dx\), we can simplify as follows:

\(\int\ (csc x + tan x) dx = \int\ (1/sin x + sin x/cos x) dx\)

\(= \int\ (cos x/sin x + sin^2 x/cos x) dx\)

\(= \int\ (cot x cos x + sin^2 x/cos x) dx\)

\(= \int\ (cot x cos x dx + \int\ (sin^2 x/cos x) dx\)

\(= \int\ cot x d(sin x) + \int\ (sin x/cos x) sin x dx\)

\(= -ln|csc x + cot x| - \int\ sin x dx\)

\(= -ln|csc x + cot x| + cos x + C\)

For the integral \(\int\ (csc x + tan x)^2 dx\) , we can expand the square as follows:

\(\int\(csc x + tan x)^2 dx = \int\ (csc^2 x + 2csc x tan x + tan^2 x) dx\)

\(= \int\ (1/sin^2x + 2cos x/sin x + sin^2 x/cos^2 x) dx\)

\(= \int\ (cot^2x + 2cot x cos x + sec^2 x) dx\)

\(= -cot x - 2ln|csc x + cot x| + tan x + C\)

Therefore, the solutions are:

\(\int\ (csc x + tan x) dx = -ln|csc x + cot x| + cos x + C\)

\(\int\(csc x + tan x)^2 dx = -cot x - 2ln|csc x + cot x| + tan x + C.\)

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Answer:

should be y= 4x + 24 let me know if it was wrong

5 weeks because 40 times 5 equal 200

Answer:

1/7

Step-by-step explanation:

Answer:

8 is the correct answer

.

.

.

Answer:

7

Step-by-step explanation:

Jenny is 8 years older than twice her cousin Sue's age.

The 1st equation will be :

J = 8 + 2S ---------(1)

The sum of their ages is less than 32.

The 2nd equation will be :

J + S < 32  ----------------(2)

Now rearrange both equations :

8 + 2S + S < 32

3S < 32 - 8

3S < 24

S < 24/3

S < 8

S = 7

The age of Sue I think will be 7 years.

Hope that help <3

Respuesta:

Los 3 triángulos son semejantes.

Explicación paso a paso:

En estos casos nos dan a conocer los ángulos de los triángulos, por lo tanto el criterios de semejanza se reduce si más de dos de sus ángulos internos son iguales.  

Por lo tanto, sabemos que en los triángulos ABE y BCD presentan los mismos ángulos, 80°, 40° y 60° por lo que podemos afirmar que ambos triángulos son semejantes.

Ahora bien, para el triangulo BDE, podemos conocer solo un angulo del que es de 80°, pero el resto sería desconocido, lo que quiere decir que no podríamos determinar si es semejante con los otros, pero por medio de los ángulos externos determinamos que si corresponde también a 60° y 40°, por lo tanto, los 3 triángulos son semejantes.

Answer:

The shortest side of the triangle is 18

Step-by-step explanation:

Let the sides the triangle be x, y and z.

From the question, the perimeter of the rectangle is 64, that is

x + y + z = 64 ...... (1)

Also, the ratio of two of its sides is 4:3, that is x:y = 4:3, then we can write that x/y = 4/3 ⇒ 3x = 4y ...... (2)

The third side, z, is 20 less than the sum of the other two, that is

z + 20 = x + y ...... (3)

Substitute equation (3) into (1)

Then,

z + 20 + z = 64

2z +20 = 64

2z = 64 - 20

2z = 44

z = 44/2 k

z = 22

From equation (3)

z + 20 = x + y

Then, k

22 + 20 = x +y

42 = x + y

x = 42 - y ...... (4)

Substitute this into equation 2

3x = 4y

3(42-y) = 4y

126 - 3y = 4y

4y + 3y = 126

7y = 126

y = 126/7

y = 18

Substitute this into equation (4)

x = 42 - y

x = 42 - 18

x = 24

∴ x = 24, y = 18 and z = 22

Hence, the shortest side of the triangle is 18.

The variable  a. model of automobile is Qualitative b. flavor of ice cream is Qualitative c. religious denomination is Qualitative d. test score out of 100 is Quantitative e. miles per gallon of gasoline is  Quantitative f. top three television networks is Qualitative g. length of birth contraction in seconds is Quantitative.

The Quantitative variable is defined as the variable which takes numerical value. for eg. 2mph, 90 , 34m.

The Qualitative variable is defined as the variable which takes values such as name/label etc. for eg, john , smith , Toyota ,vanilla.

According to the question

        VARIABLE                           CATEGORY              CLASSIFIED              

a. model of automobile               Qualitative         on the basis of name

b. flavor of ice cream                   Qualitative         on the basis of name

c. religious denomination            Qualitative         on the basis of name

d. test score out of 100               Quantitative        on the basis of number

e. miles per gallon of gasoline   Quantitative        on the basis of number

f. top three television networks  Qualitative          on the basis of name.

g. length of birth contraction      Quantitative        on the basis of number.

  (in seconds)  

Therefore , The variable  a. model of automobile is Qualitative

b. flavor of ice cream is Qualitative

c. religious denomination is Qualitative

d. test score out of 100 is Quantitative

e. miles per gallon of gasoline is  Quantitative

f. top three television networks is Qualitative

g. length of birth contraction in seconds is Quantitative

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The height will be 18 inches and the scale is 1 inch = 6 inches.

1.5 inches is the width of a book picture shown on a website.

And the book's length, as displayed on the website, is 3 inches

The book's real width is 9 inches.

The book image's size is

6 inches to one inch

The book is actually three and six pages long.

The size of the real book is 18 inches long and 9 inches broad.

Hence the scale is 1 inch is equal to 6 inches and height is 18 inches.

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