Selma uses a jogging trail that runs through a park near her home. The trail is a loop that is of a mile long. On Monday, Selma ran the loop in of an hour. What is Selma’s unit rate in miles per hour for Monday’s run?


In this activity, you will use the common denominator method to calculate a unit rate that involves fractions. Answer the questions that follow to calculate Selma’s unit rate in miles per hour.


part A. According to the question, the unit rate is to be expressed in which units?


Part B. Now, write Selma’s jogging rate as a complex fraction. A complex fraction is one whose numerator, denominator, or both are fractions. Be sure to include units in your answer.


Part C. Find the least common denominator of the two fractions from part B. To do this, list and compare the first five multiples of the denominators. The smallest number that appears in both lists is the least common denominator. Show your work.


Part D

Answer:inversely proportional

Step-by-step explanation:

As the value of x increase the value of y decrease

Answer:   5/9

This is assuming the equation is y = (5/9)x

Note it is in the form y = kx with k = 5/9 as the constant of proportionality.

Answer:

c

Step-by-step explanation:

Answer:

Cost in India: $7500

Step-by-step explanation:

Represent cost in India with I and cost in United States as U.

Given

[tex]U = 3400[/tex]

[tex]U = 4000 + 4 * I[/tex]

Required

Find I

Simply substitute 34000 for U in the second equation

[tex]34000 = 4000 + 4 * I[/tex]

[tex]34000 = 4000 + 4I[/tex]

Solve for 4I

[tex]4I = 34000 - 4000[/tex]

[tex]4I = 30000[/tex]

Solve for I

[tex]I = 30000/4[/tex]

[tex]I = 7500[/tex]

Hence, the cost in India is $7500

Answer:

Hey there :)

h ( x ) = f [ g ( x ) ]

To find h ' ( x )  

We do → f ' [ g ( x ) ] × g ' ( x )  

This is called the chain rule

Given;

g ( 1 ) = 2  →  f ' ( 2 ) = 5

g ' ( 1 ) = 6

Apply the formula

h ' ( 1 ) = f ' [ g ( 1 ) ] × g ' ( 1 )

          = f ' ( 2 ) × 6

          = 5 × 6

h ' ( 1 ) = 30

If h(x) = g[f(x)], the value of h'(1) from the given table is calculated as 18.

To find the value of h'(1), we need to apply the chain rule. The chain rule states that if we have a composite function h(x) = g[f(x)], then its derivative h'(x) is given by [tex]\(h'(x) = g'(f(x)) \cdot f'(x)\)[/tex].

Let's use the table of values to find h'(1):

1. f(1) = 3

2. g(f(1)) = g(3) = 2

3. f'(1) = 2

4. g'(f(1)) = g'(3) = 9

Now, we can find h'(1) using the chain rule:

[tex]\[h'(1) = g'(f(1)) \cdot f'(1) = 9 \cdot 2 = 18.\][/tex]

Therefore, the value of h'(1) is 18.

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A slope is also known as the gradient of a line. The rate of change is $0.13/ mile.

A slope also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line.

slope = (y₂-y₁)/(x₂-x₁)

Given two of the points on the line of the function (7000, 900) and (20000, 2600). Now, The rate of change for the given function is the slope of the line as shown in the graph. Therefore, the rate of change will be,

Rate of change = ($2600 - $900)/(20,000 miles - 7,000 miles)

                         = 1700 / 13000

                         = $0.13/ mile

Hence, the rate of change is $0.13/ mile.

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Answer:3 eggs

Step-by-step explanation:

You HAD 4 eggs

Leslie gives you 3 eggs

Roosters don’t lay eggs,

Therefore, you have 3 eggs.

I have 12 eggs

Addition is the the process of determining the total sum of two or more numbers. Addition is a basic mathematical operation. The other basic operations are subtraction, multiplication and division.

The number of eggs I have would increase with the number of eggs I am given and the number of eggs the farm rooster lays. This means I would have to add these numbers together.

The number of eggs I have = number of eggs I has initially + number of eggs Leslie gives me + number of eggs the farm rooster lays

4 + 3 + 5 = 12 eggs

A similar question was solved here: https://brainly.com/question/17472003?referrer=searchResults

Answer:

The correct answer is 6

Step-by-step explanation:

Divide 42 divided by 7 to get 6.

Answer:

What is the question?

Step-by-step explanation:

The pump moves 6 gallons in 1 minute

Divide 42 by 7 = 6

But I don't know the question so I can't tell you the best correct answer.

I just took a guess at what you wanted

Answer: 8/17

Step-by-step explanation: 16 ÷ 34 = 8/17

Hope this helps ^_^

Answer:

Step-by-step explanation:

110_5

i think the answer is The 1st table represents a function

Lets explain how to solve the problem

- Function is a relation where each input has a single output

- The notation of the function is f(x) = y , where x is the input of the

function and y is the out put of the function

-  The domain of the function is x and the range of the function is y

* Lets find which table represent a function

# First table:

     x      y

    -3      -1

     0      0

    -2      -1

- In the first table

∵ -3 has only -1

∵ 0 has only 0

∵ -2 has only -1

∵ 8 has only 1

∵ Every x has a single y

∴ The table represents a function

∴ The 1st table represents a function

- In the second table

   x       y

   -5       -5

    0       0

   -5       5

    6       -6

∵ x = -5 has y = -5 and y = 5

∴ One x has two values of y

∴ The table doesn't represent a function

- In the third table

    x          y

   -4         8

   -2         2

   -2         4

    0         2

∵ x = -2 has y = 2 and y = 4

∴ One x has two values of y

∴ The table doesn't represent a function

- In the fourth table

    x          y

   -4         2

    3         5

   -4         0

∵ x = -4 has y = 2 and y = 0

∴ One x has two values of y

∴ The table doesn't represent a function

Answer:

It is 12

Step-by-step explanation:

The area of a rectangle is the product of length and width thus the area will be 1358 square meters.

A rectangle is a geometrical figure in which opposite sides are equal.

The angle between any two consecutive sides will be 90 degrees.

The perimeter of the rectangle = 2( length + width).

It is known that,

Area of rectangle = length × width.

Area = 97 x 14 = 1358 sqare meters

Hence "The area of a rectangle is the product of length and width thus the area will be 1358 square meters".

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Answer:

1.  27y^3

2. 32c^5

3. 16m^4

4. 64g^3

5. 49j^2

6. -3125z^5

Step-by-step explanation:

Can you help answer my question too, please?

Answer:

3.5x

Step-by-step explanation:

3.5(x)=3.5x

Answer:

2 gallons converted to liters is 7.57 or 8 liters rounded

ANSWER

For 739, the answer is: prime anslo written as B

Step-by-step explanation:

739 is a prime number because it has only two distinct divisors: 1 and itself (739).

HAVE A GOOD DAY!

Answer:

its neither

Step-by-step explanation:

Answer:

0.55199

Step-by-step explanation:

When we have a random number of samples, We solve using z score formula

z = (x-μ)/σ/√n where

x is the raw score

μ is the population mean

σ is the population standard deviation

n is random number of samples

z = 0.83/77/√147

z = 0.13069

Probabilty value from Z-Table:

P(x<48.83) = 0.55199

The probability that the mean of the sample would differ from the population mean by less than 0.83 months is 0.55199

Answer:

65,000 grams

Step-by-step explanation:

1 kilogram = 1,000 grams

The giraffe weighs 65,000 grams.

Answer:no

Step-by-step explanation:

Answer:

17 [tex]\frac{1}{4}[/tex]

Answer:

decreased

Step-by-step explanation:

Answer:

$50.23

Step-by-step explanation:

f(t)=1.35(t)+9.73

First I found out how many years are after 1985 so you would do 2020-1985 which equals 30.

I plug it in for t.

f(t)=1.35(30)+9.73

Then you multiply 1.35 and 30 which would leave us with.

f(t)=40.5+9.73

Add them and you get $50.23

Answer:

2 years : $280

10 years: $1400

Step-by-step explanation:

The amount of interest earned in 10 years will be $1,400.

Let P be the principal, R be the rate of interest, and T be the time. Then the interest rate is given as,

The formula for interest is written as,

I = (PRT)/100

$3,500 was put into a savings account Lou. 4% is the simple interest rate.

The amount of interest after 10 years is calculated as,

I = ($3,500 x 4 x 10) / 100

I = $1,400

The amount of interest earned in 10 years will be $1,400.

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Answer:

A, B, and C.

Step-by-step explanation:

We have the equation:

[tex]4(x-3)=4x-12[/tex]

Let’s distribute the left. This yields:

[tex]4x-12=4x-12[/tex]

Let’s add 12 to both sides:

[tex]4x=4x[/tex]

And subtract 4x from both sides:

[tex]0=0[/tex]

We get the true statement 0=0.

Hence, A is correct.

Because it is a true statement, any input will yield an equivalent output.

Hence, B is also correct.

We also have the form a=a, where a is 0.

Hence, C is also correct.

Therefore, our correct answers are A, B, and C.

Answer:

It is a true statement.

Any input will result in an equivalent equation.

It is equivalent to an equation of the form a = a.

Answer:

x=NaN your welcome hehe

Answer:

9

Step-by-step explanation:

4.5/0.5=9

9*0.5=4.5

hope this helps :3

if it did pls mark brainliest

Answer:

4.5 ÷ 0.5

45/10 ÷ 5/10

45/10 × 10/5

450/50

45/5

= 9

Step-by-step explanation: