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Bonita and Vince are jogging to school 2.5 miles west of

Vinces' house. It takes

them 15 minutes to arrive. As soon as they got there Boneta needed to run east

5 miles to the discount store for personal supplies. This took her 5 minutes. She

then slowly walks back to school, which takes her another 10 minutes

What is the average velocity in miles/min for Bonita for the entire trip?

Show how you convert this to mis? Show your setup and answer.

What is her average speed in miles/min?

- Show how you convert the average speed to mis. Show your set up and answer.

Answers

Answer 1

Answer:

V_avg = 0.5556 miles/min

V_avg = 0.00926 miles/sec

Step-by-step explanation:

Bonita jogs 2.5 miles west of Vinces' house to school. It took her 15 minutes to arrive.

Speed 1; distance/time = V1 = 2.5/15 = 1/6 miles/min

Furthermore she ran 5 miles to the discount store for personal supplies. This took her 5 minutes.

Thus;

Speed 2; V2 = 5/5 = 1 mile/min

She then slowly walks back to school, which takes her another 10 minutes. Distance from the discount stor to school is 5 miles as stated in speed 2.

Thus;

Speed 3: V3 = 5/10 = ½ mile/min

Her average speed is;

V_avg = (V1 + V2 + V3)/3

V_avg = (1/6 + 1 + ½)/3

V_avg = 10/18 = 0.5556 miles/min

Converting to miles/seconds

60 seconds make 1 minutes, therefore 1 mile/min = 1/60 miles/seconds

Thus;

V_avg = 0.5556 miles/min = 0.5556 × 1/60 miles/sec = 0.00926 miles/sec


Related Questions

PLEASEEE HELP ITS FOR A GOOD CAUSE !!

Answers

Answer:

And what cuase might that be...? Jkjk ofc ill help

Step-by-step explanation:

Amswer is C. im 99 percent sure i did the math and to double check i put it into a site ans it said it was C! Hope this helps! :)

Find (fog)(x).
f(x) = 6x
g(x) = x + 3
Write your answer as a polynomial in simplest form.
(fog)(x) = ????

Answers

Answer:

[tex](fog)(x)=6x+18[/tex]

Step-by-step explanation:

We are given:

f(x)=6x

and g(x)=x+3

We need to find (fog)(x)

(fog)(x) =f(g(x)) i.e we will put value of g(x) into f(x) i.e

[tex](fog)(x)=f(g(x))\\f(g(x))=6(x+3)\\f(g(x))=6x+18[/tex]

So, [tex](fog)(x)=6x+18[/tex]

The graph shows the rate at which water is leaking from a tank. The slope of the line gives the leaking rate in gallons per minute.

Answers

Answer:

the rise is 6 and the run is 7.  the rate of leaking per minunte is about .8  gallons per minute

Step-by-step explanation:

i think its right this time

PLEASE HELP!!!!!
What is the result when the number 59 is decreased by 7%?

Answers

Answer:

= 59 - (59*0.07)

= 59 - 4.13

= 54.87

Answer:

The result would be 54.87

22. (01.05)
A function is created to represent the amount of money you save or spend each day of the week. What
restrictions would be made to the range? (1 point)
The range would only include integers.
The range would only include positive integers.
The range would only include negative integers.
The range would include all real numbers.

Answers

Answer:

Step-by-step explanation:

The range would only include positive integers.

Drag each tile to the correct box. Not all tiles will be used.
Consider the following function.
f(x)=2x+5
Place the steps for finding f -1(x) in the correct order.
I NEED THIS 50 POINTS!!!

Answers

Answer:

y = 2x +5

X=2y + 5

X-5 =2y

X-5 / 2 = y

f-1 (x) = x-5/2

Step-by-step explanation:

Answer

This is correct for sure

Step-by-step explanation:


The value of a school bus reduces from $512000 to $343000 in 3 years. Find the
uniform rate of depreciation per annum (R).​

Answers

Hope this helps!!!!!!!!!!!!!!!!!!!

A linear function contains the following points. (-2,8) (0,6) What are the slope and y-intercept of this function?​

Answers

Answer:

slope= -1

y-intercept is 6

Step-by-step explanation:

slope = y2-y1/ x2-x1

slope = 6-8/ 0-(-2) = -1

y-intercept is 6 because of (0,6), where the points cross y-axis

Use the equation m=y2-y1/x2-x1 to find the slope
6-8/0-(-2)
-2/2
M=-1
Plug inyour slope one set of coordinates into y=mx+b. I’ll use the ordered pair (0,6)
6=-1(0)+b
6=b
Equation: y=-x+6

help me find the equation pls

Answers

Answer:

y= 0  x=1

Step-by-step explanation:

Y = zero and x = one

C(5,-5),D(5,3) what is the distance between the points

Answers

Here is my answer 8.

If c, m, and n are integers, which of the following are NOT possible values of m and n for the equation below? (Equation in pic)

A. M=2, n=2
B. M=-1, n=5
C. M=-2, n=-2
D. M=1, n=3

Answers

Answer: C. m = -2; n = -2

have:

x² + 4x + c = (x + m)(x + n)

⇔ x² + 4x + c = x² + (m + n)x + mn

⇒ m + n = 4

    mn = c

=>  M=-2, n=-2 arent possible

Step-by-step explanation:

Plz help me answer this, Marked brainlest, Marry and Julie both have a goal of raising $1000 for charity. Mary raises $12 every 4 days. Julie raises $19 every 6 days. Will Mary or Julie reach her goal first? Explain​

Answers

Answer:

Julie

Step-by-step explanation:

Mary would have a rise of 12 and a run of 4, making her slope, or rate of change, $3 a day. Julie would have a rise of 19 and a slope of 6, making her slope, or rate of change, $3.17 a day. Since Julie is raising money at a faster rate, she would get to the goal of $1000 first.

Answer:

Mary has a rise of 12 and a run of 4.  Mary has a slope of 3. Mary would have a rise of 12 and a run of 4, making her slope, or rate of change, $3 a day. Julie would have a rise of 19 and a slope of 6, making her slope, or rate of change, $3.17 a day. Since Julie is raising money at a faster rate, she would get to the goal of $1000 first. Julie has a rise of 19 and a run of 6.  Julie has a slope of 19/6 or 3 and 1/6.  Julie will reach her goal first, as she has the greater slope.

Hope this Helps!

Let a function y represent the water level in a harbor measured in meters, and let x represent the number of hours since high tide. At time x = 0, the water level is 19.5 meters (a maximum). At time x = 6.26 hours, the water level is 10.5 meters (a minimum). The period of the function is 12.5 hours.


After how many hours is the water expected to reach a depth of 17 meters for the first time? Round to the nearest tenth of an hour.


A 2.2 hours

B 6.3 hours

C 12.1 hours

D 12.5 hours

Answers

Answer:

A 2.2

Step-by-step explanation:

Maurice made a model of the steel tabletop his model measures 7 inches by 13 inches is the model simular to the original

Answers

The first example has students building upon the previous lesson by applying the scale factor to find missing dimensions. This leads into a discussion of whether this method is the most efficient and whether they could find another approach that would be simpler, as demonstrated in Example 2. Guide students to record responses and additional work in their student materials.
§ How can we use the scale factor to write an equation relating the scale drawing lengths to the actual lengths?
!
ú Thescalefactoristheconstantofproportionality,ortheintheequation=or=!oreven=
MP.2 ! whereistheactuallength,isthescaledrawinglength,andisthevalueoftheratioofthe drawing length to the corresponding actual length.
§ How can we use the scale factor to determine the actual measurements?
ú Divideeachdrawinglength,,bythescalefactor,,tofindtheactualmeasurement,x.Thisis
! illustrated by the equation = !.
§ How can we reconsider finding an actual length without dividing?
ú We can let the scale drawing be the first image and the actual picture be the second image. We can calculate the scale factor that relates the given scale drawing length, , to the actual length,. If the actual picture is an enlargement from the scale drawing, then the scale factor is greater than one or
> 1. If the actual picture is a reduction from the scale drawing, then the scale factor is less than one or < 1.
Scaffolding:
A reduction has a scale factor less than 1, and an enlargement has a scale factor greater than 1.
Lesson 18: Computing Actual Lengths from a Scale Drawing.

Need help, quick, if anyone can, thank you in advance.​

Answers

Answer:

B

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Trust me I even used an algebra calculator.

What is the probability that a normal random variable will take a value that is less than 1.05 standard deviations above its mean?

Answers

Complete Question

What is the probability that a normal random variable will take a value that is less than 1.05 standard deviations above its mean? In other words, what is P(Z < 1.05)

A 0.8531

B 0.1468

C 0.9332

D 0.0668

Answer:

The correct option is  A

Step-by-step explanation:

Generally from the z table  the area under the normal curve to the left corresponding to  1.05 is

     [tex]P(Z < 1.05) = 0.8531[/tex]

For what value of b, would the equation 34(12x−9)+b4=5−3(2−3x) have infinitely many solutions?

Answers

Answer:

Yes.

Step-by-step explanation:

Because.

Answer:

23

Step-by-step explanation:

The length of a rectangle is 3 more than 3 times its width. The perimeter of the rectangle is 174 inches. What is the length of the rectangle?

Answers

Answer:

Sorry I cant help

Step-by-step explanation:

You have a garden row of 20 watermelon plants that produce an average of 30 watermelons apiece. For any additional watermelon plants planted, the output per watermelon plant drops by one watermelon. How many extra watermelon plants should you plant?

Answers

Answer: You should plant another 25 watermelons.

Step-by-step explanation:

The total number of watermelons can be calculated as:

W = (20 + x)*(30 - x)

x is the number of plants that we add, for each plant that we add, the output per watermelon plants drops by one watermelon, then if we add x plants, each plant will give (30 - x) watermelons.

We want to maximize this equation, so let's distribute the product.

W = 600 + 30*x + 20*x - x^2

W = 600 + 50*x - x^2

Notice that this is a quadratic equation with a negative leading coefficient, this means that the maximum is at the vertex, and the arms of the equation will open down.

To find the maximum, we can just derive with respect to x, and find the value of x that makes that equal to zero, this is:

W'(x) = dW/dx = 50  - 2*x

W'(x) = 0 = 50 - 2*x

           2*x = 50

          x = 50/2 = 25.

Then the maximum output will be if you plant 25 more watermelon plants.

And this will be:

W(25) = 600 + 50*25 - 25^2 = 1,225 watermelons

You should plant 5 extra watermelon plants to maximize production.

Since you have a garden row of 20 watermelon plants that produce an average of 30 watermelons a piece, and for any additional watermelon plants planted, the output per watermelon plant drops by one watermelon, to determine how many extra watermelon plants should you plant you must perform the following calculation:

20 x 30 = 600 24 x 26 = 624 25 x 25 = 625 26 x 24 = 624

Therefore, you should plant 5 extra watermelon plants to maximize production.

Learn more in https://brainly.com/question/2173344

Write a system of equations to describe the situation below, solve using elimination, and fill in the blanks.

An employee at a construction company is ordering interior doors for some new houses that are being built. There are 2 one-story houses and 4 two-story houses on the west side of the street, which require a total of 64 doors. On the east side, there are 5 one-story houses and 4 two-story houses, which require a total of 88 doors. Assuming that the floor plans for the one-story houses are identical and so are the two-story houses, how many doors does each type of house have?

Each one-story house has
doors, and each two-story house has
doors.

Answers

Answer: This is a system of equations, let's set it up.  I set the variable for 1 story houses to x and 2 story houses to y.  Here are the two equations:

6x + 2y = 72

5x + 7y = 124.

Now we multiply the equations so that when we add them together one of the variables will be cancelled out.  I am going to multiply the top equation by 7 and the bottom equation by -2.  This gives us

42x + 14y = 504

-10x -14y = -248

Add the two equations together:

32x = 256

Divide by 32 to get x = 8.  The one story houses have 8 doors.  We can plug this number into one of the original equations and solve for y now.  I'm going to use the first equation.

(6*8) + 2y = 72  

Now we solve for y

y = 12  So, the 1 story houses have 8 doors and the 2 story houses have 12 doors.

Find the slope of (5,-5) and (-4,5)

Answers

Answer:

Slope of points (5,-5) and (-4,5) is [tex]\mathbf{-\frac{10}{9} }[/tex]

Step-by-step explanation:

We need to find the slope of points (5,-5) and (-4,5)

The formula used to find slope is: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

We have [tex]x_1=5, y_1=-5, x_2=-4 \ and \ y=5[/tex]

Putting values in formula and finding slope

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]Slope=\frac{5-(-5)}{-4-(5)}\\Slope=\frac{5+5}{-4-5}\\Slope=\frac{10}{-9}\\Slope=-\frac{10}{9}[/tex]

So, slope of points (5,-5) and (-4,5) is [tex]\mathbf{-\frac{10}{9} }[/tex]

If the graph of f(x) = is translated right 9.5 units and up unit, which function represents the resulting graph? g(x) = – 9.5 g(x) = + 9.5 g(x) = – g(x) = +

Answers

Answer:

the answer is d

Step-by-step explanation:

edenuity2020. also I just did it

Help!! Please help with this question.

Answers

Answer:

The slope seems to be 4.

Step-by-step explanation:

The line seems to be starting at (3,0) and if you use the rule rise/run, it goes up (rises) 4 units and moves over (runs) 1 unit. You then rewrite this as 4/1 and you get 4 as the slope!

Answer:

The slope is 4

My logic:

Slope is delta y over delta x so if you take any 2 points on that graph and get the x and y of each point and find the change of the two x and the two y and put the change in y over the change in x. you get slope. like so= 16/4 or 4

Can anyone help me with this i need help quick

Answers

Answer:

C

Step-by-step explanation:

y=mx+n m is slope if slopes are perpendicular m1.m2=-1

(2/3) . (-3/2) = -1

m1=2/3

m2=-3/2

y=(2/3)x-3 m=2/3 n= -3

y=(-3/2)x+2   m = -3/2 n = 2

a gardener uses a grow light to grow vegetables indoors. if m<1 = (8x) and m<2 = (7x-4), what is m<1?

Answers

Answer:

64

Step-by-step explanation:

Steps for solving rational equations

Answers

Answer:

1. Find the common denominator.

2. Multiply everything by the common denominator.

3. Simplify.

4. Check the answer(s) to make sure there isn't an extraneous solution.

Step-by-step explanation:

Hope this helps!

The steps for solving rational equations will be to take common factors and simplify the equation.

What are the steps for solving rational equations?

A rational equation, abbreviated as P(x) / Q(x), is one that has at least a single fraction with polynomials as the numerator and denominator. Q(x) / P(x). These integers might be on either end of the equation or sometimes both.

The steps are given below.

Discover the common factor.Divide everything by the lowest common factor.Simplify the equation.Verify the response(s) to verify sure there isn't a redundant response.

The steps for solving rational equations will be to take common factors and simplify the equation.

More about the steps for solving rational equations link is given below.

https://brainly.com/question/27230278

#SPJ6

For which value of p will the equation 6x – 5 = 6x + p have an infinite number of solutions?
A. 5
B. 0
C. -10
D. -5

Answers

Answer:

the answer is b

Step-by-step explanation:

Frank invested $30,000 at 4% simple interest. How much interest will he earn each year?

Answers

Answer:

$1200 interest

Step-by-step explanation:

$30,000 divided by 100 = 300 , 300 multipled by 4 = 1200 , thats how to find what 4% would be

Reduce the fraction and find the domain.
[tex]\frac{a(x-2y)}{b(2y-x)}[/tex]

Thanks!

Answers

Answer:

-a/b

Step-by-step explanation:

a(x - 2y)/b(2y - x) =            ⇒ consider x - 2y = - (2y - x)-a(2y - x)/b(2y - x) =-a/b

Plz i need an accurate answer help me plz

Answers

Answer:

Plug in the values 1, 2, 3, 4, 5, one at a time into the function (replacing x with the number). Then calculate the result for each. Sum the results and divide it by the number of values (5).

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