At 1 P. M. the family resumes their trip, and they reach Helena at 5 P. M. The total distance from the family’s home to Helena is 485 miles. Including the 30-minute lunch stop, what is the average speed over the entire trip?

Answers

Answer 1

Answer: 60.6 miles per hour

Step-by-step explanation: 5 hours + 3 hours + 30 mins = 8 hours 30 mins 485 divided by 8

Answer 2

The total distance from the family’s home to Helena is 485 miles.

including the 30-minute lunch stop. The average speed over the entire trip is 60.6 miles per hour.

How is average speed calculated?

The average speed is the ratio of total length traveled to the total time taken to travel that length.

Thus, if

[tex]d_2 = \text{final position}\\d_1 = \text{initial position}\\t_2 = \text{end time}\\t_1 = \text{start time (of travelling)}[/tex]

then,

[tex]S_a = \dfrac{d_2 - d_1}{t_2 - t_1}[/tex]

where S is the average speed of the traveler.

At 1 P. M. the family resumes their trip, and they reach Helena at 5 P. M.

The total distance from the family’s home to Helena is 485 miles.

Including the 30-minute lunch stop.

The total time taken

5 hours + 3 hours + 30 mins = 8 hours 30 mins

The average speed over the entire trip

[tex]S_a = \dfrac{d_2 - d_1}{t_2 - t_1}[/tex]

= 485/ 8

= 60.6 miles per hour

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Related Questions

How many centimeters are equal to 0.6 inches? Enter your answer as a decimal and round to the nearest hundredth. ​

Answers

Answer:

1.52cm rounded

1.524 exact

Step-by-step explanation:

For this, we use the basic conversion of 1 inch is 2.54 cm.

We can do:

2.54 cm x 0.6 inch = 1.52 cm rounded.

Help me out with this question (geometry)

Answers

Answer:

m<8=m<4=105

m<4=180-(4x-1)

=180-4x+1

105 =-4x+181

4x= 181-105

4x=76

X=19

m<6=180-105

=75

y-31=75

y =75+31

y=106

X+y=19+106

=125

What is the volume of the solid hemisphere?

Answers

Answer:

volume of the hemisphere

[tex] \frac{1}{2} \times \frac{4}{3} \times \pi \times {3}^{3} \\ \frac{2}{3} \times 27 \times \pi \\ 18\pi {cm}^{3} [/tex]

Solve x to the nearest tenth

Answers

Answer:

12.5

Step-by-step explanation:

We see in the other triangle that the ratios is 2:5 (4 to 10).

Therefore, assuming they are similar, we can assume the ratio is the same for the missing triangle.

So,

10/4 = 2.5

5(given) x2.5 =  12.5

Answer:

7.7

Step-by-step explanation:

10² - 4² = 84

√84 = 9.16 so 9.2

now we now have the hypotenuse of the other triangle

9.2² - 5² =59.64

√ 59.64 = 7.72 so 7.7

Mary reached chool at 7:30 AM, and left for home at 12:45 PM. How long he tayed in the chool
Anwer with explanation

Answers

Answer:

5 hours and 15 minutes.

Step-by-step explanation:

7:30 - 8:00 is 30 minutes

8:00 - 12:00 is 4 hours

12:00 - 12:45 is 45 minutes

30 minutes plus 45 minutes is 1 hours and 15 minutes

4hours + 1 hour and 15 minutes is

5 hours and 15 minutes

or

5 1/4 hours

or

315 minutes.

I am not sure what form you want.

Cameron worked as a salesperson at an electronics store and sells phones and phone accessories. Cameron earns a $11 commission for every phone he sells and a $2. 50 commission for every accessory he sells. On a given day Cameron made a total of $361 in commission from selling a total of 56 phones and accessories sold. ​

Answers

The number of phones sold is 26 and the number of accessories sold is 30.

What is a Linear equation:

An equation is said to be linear if the maximum power of the variable is usually 1.  A linear equation with one variable has the standard form Ax + B = 0. In this case, x is the variable and A is the coefficient of x, and B is a constant.

In mathematical problems, 'x' stands for unknown value or quantity. Here we use the Linear equation concept to solve the problem.

Given that

Cameron earns an $11 commission for every phone he sells and a $2. 50 commission for every accessory he sells.

On a given day Cameron made a total of $361 in commission from selling a total of 56 phones and accessories sold. ​

Let x and y be the number of phones and accessories

Given that

Cameron made a total of $361 in commission

=> 11x + 2.5y = 361  ----- (1)

Total number of phones and accessories sold

=> x + y = 56

Multiply by 11

=> 11x + 11y = 616 ----- (2)

Do (2) - (1)

=> 11x + 11y - ( 11x + 2.5y) = 616 - 361

=> 11x + 11y - 11x - 2.5y = 255

=> 8.5y = 255

=> y = 255/8.5

=> y = 30  

Substitute y = 30 in x + y = 56  

=> x + 30 = 56

=> x = 26

Therefore,

The number of phones sold is 26 and the number of accessories sold is 30.

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Multiply: -z^3(5 + z - 4z^2)

Answers

Answer:

4z^5 - z^4 - 5z³

Step-by-step explanation:

-5z³ - z^4 + 4z^5

—4 (-z^3) z^2 + z (—z^3) + 5 (—z^3)

Select the correct answer
Which function has the same graph as x+y= 11
OA X=-y+11
OB fx= -x+11
OC (X) = x-11
OD. x) = y-11

Answers

The answer to ur question is D

Can someone please help me on this & I’ll reward you afterwards

Answers

Answer: 4y (4y^2-2y-5)

Step-by-step explanation:

who can help me for 13 points

Answers

Answer:

slope is zero

Step-by-step explanation:

slope is the difference of the y-values over the difference of the x-values

(-3-(-3)) ÷ (5-2)

0/3

How do you find the horizontal asymptote and Y intercept?

Answers

The process of finding the horizontal asymptote and y intercept is explained below.

In order to find the steps, we must know that what is meant by asymptote and intercept.

The process of finding the asymptote is defined as the horizontal asymptote of a rational function can be determined by looking at the degrees of the numerator and denominator.

If the degree of numerator is less than degree of denominator then horizontal asymptote at y = 0

Where as if the degree of numerator is greater than degree of denominator by one then there is no horizontal asymptote

Finally if the degree of numerator is equal to degree of denominator then the horizontal asymptote at ratio of leading coefficients.

As per the definition of intercept we have identified that the point that will intersect at the y axis is referred as the y intercept.

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P=-3w+9 solve for w
Pls help

Answers

Isolating for a variable: rearranging an equation so that a variable is on its own. This is done by performing inverse operations until a variable is isolated.

[tex]P-9=-3w+9-9[/tex]

[tex]p-9=-3w[/tex]

[tex]\frac{p-9}{-3}=\frac{-3w}{-3}[/tex]

[tex]-\frac{P-9}{3} =w[/tex]

5/6 - 1/4 please answer needed quick

Answers

Answer:

7/12

Step-by-step explanation:

write all numerators above the least common denominator 12

10-3/12

subtract

10-3=7

Answer 7/12

Answer:

I already said it in the comments 5 min ago but 7/12

Step-by-step explanation:

Please help!
The supplement of an angle has a measure that is 20° more than twice the measure of the angle, x°. Write an equation that can be used to find the value of x?

Answers

Answer:

20 + 2x = 180

Step-by-step explanation:

20 + 2x = 180

2x = 160

x = 80

If the sales tax in your city is 12% and your item cost $97, how much tax would you pay on that item?

Answers

Answer:

Step-by-step explanation:

11.64

Multiply using the distributive property
D) Simplify the expression:
8(1 + 7d) =

Answers

Answer:

8 + 56d

Step-by-step explanation:

We will open the parentheses, multiplying the stuff outside by the stuff inside. So, we get:

8*1 + 8*7d

Then, we can simplify by giving us:

8 + 56d

Hope this helped!

Is y 2x 3 in slope intercept form?

Answers

Answer:

y=2x+3

Step-by-step explanation:

y=mx+b

y=2x+3

whats the value of x? ill give brainliest

Answers

Answer:

150°

Step-by-step explanation:

180-30=150...............

Answer:

150º

Step-by-step explanation:

the value of q is 180º, so 180 - 30 = 150

How many liters are in 4.78 gallons? *

Answers

Answer:

around 18.094 liters

Step-by-step explanation:

Answer:

Around 18.0942683 Liters

Help no links or files pls help

Answers

Answer:

2. one angle is 108, and other is 72

3. x is 12

Step-by-step explanation:

the ratio is 3:2.

3x + 2x = 180

5x = 180

x = 36

36 x 3 = 108

36x 2 = 72

so that is why the two angles re 108and 72.

for the last question, 37 plus 41 plus x = 90

37 plus 41 is 78

90 - 78 = 12

so that is why x is 12.    

What is undecidable language?

Answers

Therefore , the solution of the given problem of algorithm comes out to be when the language L of all yes cases to a decision problem P cannot be decided, the problem is said to be "undecidable."

Describe an algorithm.

Algorithms exist to identify, solve, and frequently automate a solution to a particular problem; regardless of the situation, they are essentially problem solvers of expression.

In area of beginning textbooks, algorithms are typically introduced as "a set of phases to solve a problem."

Here,

Alternatively, a Turing computer that halts for all inputs cannot recognize a language for whose membership cannot be determined by an algorithm.

It is known as undecidable language.

There is no Turing Machine for an undecidable language that accepts the language and decides on each input string (TM can make decision for some input string though).

When the language L of all yes cases to a decision problem P cannot be decided, the problem is said to be "undecidable."

Therefore , the solution of the given problem of algorithm comes out to be when the language L of all yes cases to a decision problem P cannot be decided, the problem is said to be "undecidable."

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HURRY, GIVING BRAINLIEST

Answers

Answer:

8

Step-by-step explanation:

I attached an image below. Basically the symbols || means absolute value, meaning the distance between that number and 0. It will always be a positive number. Then, I solved the equation as normal using PEMDAS, multiplying first then going left to right, then I got 8.

Hope this helps !!

-Ketifa

Write and solve an equation to find the value of x.

Answers

Answer:

x = 60

Step-by-step explanation:

Let the two opposite angles be equal and let's call them y.

Because of the theory of angles on a straight line 120 +y = 180

y = 60

Because of the theory of angles on a straight line 2x + y = 180

2x + 60 = 180

2x =  120

x = 60

Alternatively. (also a lot easier)

120 and 2x are opposite angles so they are equal and so;

2x = 120

x = 60

Please mark as brainliest if this answer is helpful.

A group of hikers starts at an elevation of 2.53 kilometers. When they stop for lunch, their elevation has increased by 1.24 kilometers. When they stop to camp, their elevation has decreased by 0.53 kilometer compared to their lunch stop. Which expressions represent the elevation, in kilometers, of the group’s campsite?

Answers

The elevation of the group's campsite is the elevation at the lunch stop minus the decrease in elevation from the lunch stop to the campsite. The lunch stop's elevation is the starting elevation plus the increase in elevation from the starting point to the lunch stop.

So, the elevation of the group's campsite can be represented by the following expression:

(2.53 + 1.24) - 0.53 = 3.77 - 0.53 = 3.24

Alternatively, you could also write the expression as:

2.53 + (1.24 - 0.53) = 2.53 + 0.71 = 3.24

Both expressions represent the elevation, in kilometers, of the group's campsite.

A company makes chocolate candies in the shape of a solid sphere. Each piece of candy has a diameter of 6cm. If a box contains 15 pieces of candy, how much chocolate does the box contain? Use 3. 14 for π, and do not round your answer

Answers

The total amount of solid sphere chocolate in the box is 1695.6 cubic centimeters.

What is volume?

The space occupied within an object's borders in three dimensions is referred to as its volume.

What is the volume of sphere?

The volume or the space inside the borders of the sphere is given by the formula:

[tex]V = \frac{4\pi r^3}{3}[/tex]

Given that the diameter is 6cm, the radius r = 3cm.

Substituting the value of radius in volume we have:

[tex]V = \frac{4 (3.14)(3)^3}{3}[/tex]

[tex]V= 113.04[/tex]

The box contains 15 candies hence the total volume will be:

V = 15 * 113.04

V = 1695.6 cubic centimeters.

Hence the total amount of chocolate in the box is 1695.6 [tex]cm^3[/tex].

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help help help i’ll kiss u please

Answers

I Think its 563... Hope i helped!:D this app has alot of link scams so: mthway is a good help!:))

Answer:

500 cm2

Step-by-step explanation:

THIS ISNT MY WORK THIS IS THE WORK OF WALBER000

The dimensions of the prism are 7 cm, 9 cm and 20 cm.

So the three areas we want to find are three rectangles, with the sides:

7 cm and 20 cm, 9 cm and 20 cm, 9 cm and 20 cm

The area of each rectangle is:

rectangle_1 = 7 * 20 = 140 cm2

rectangle_2 = 9 * 20 = 180 cm2

rectangle_3 = 9 * 20 = 180 cm2

Summing all these three areas, we have:

Total area = 140 + 180 + 180 = 500 cm2

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There are two numbers such that one of the numbers is 5 2/7 more than twice the other number. If you multiply the smaller number by 5, the product is twice the larger number. What are the two number? Please no links and answer fast!

Answers

Answer:

Smaller number: 10 4/7

Bigger number: 26 3/7

Step-by-step explanation:

How I did this problem was very simple, so first I made my different numbers, the smaller number being x, and the larger number being

2x+5 2/7. Then, I did the equation 5x=4x+ 74/7. How I got this equation was I multiplied 5 2/7 into 2 and got 74/7. After the equation, I got my answers, then double checked them.

You are welcome!

The scores on the last math quiz are summarized in the following frequency table:
Score
10 9
8
7
6
4 3 2 1 0
7
5
3 2
1
0
0
10
0
Frequency 6
The information is then put into the following histogram:
Frequency
5
4
3
210
1 2 3 4 5 6 7 8 9 10
5
1
Score

Answers

Therefore , the answer to the above problem is 5.75 for the mean and 9 for the median.

What is mean?

Regardless of whether many elements are discrete or continuous, averages can only be calculated for numeric variables. You may find this by dividing the amount of values present in the dataset by its total number of values in the data. It is possible to perform computations using either raw data or data that has been compiled into frequency tables. The average value in mathematics is obtained by adding up all the integers in a data set and dividing the total by the total number of numbers. For example, in the data below

Here,

Spread it all out here first:

4, 5, 6, 7, 7, 8, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10

The mean is calculated by dividing total total by the total number of scores. Add up each number.

There are 16 numbers total, and they add up to 92. 92 / 16 = 5.75

To get the median, identify the middle number among all the other numbers.

Sadly, there is no "center number" given that there are 16.

Add the ninth and eighth numbers together, then divide by to find the middle.

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Under which condition is the sample proportion, , a point estimate of the population proportion?

A.
The sample size, n, is small enough.
B.
The sample represents a proportion of the population.
C.
The sample proportion is unbiased.
D.
The sample proportion is never a point estimate of the population proportion.

Answers

Answer:

c. the sample portion is unbaised

Step-by-step explanation:

plato

As drug A gets absorbed into the body, less and less of it remains. A scatterplot of data showed a curved relationship between hours since drug A was administered (x) and the number of milligrams of drug A remaining in the body (y). Taking the logarithm of the milligrams of drug A remaining obtains a linear pattern on a scatterplot, and creates the following printout from a statistical software package:


Predictor Coef SE Coef t-ratio P

Constant 3. 00 0. 401 7. 481 0. 000

Time -0. 0737 0. 005 -14. 74 0. 000


s= 0. 014 R-sq= 98. 5% R-Sq(Adj)= 99. 0%


Required:

Write down the correct equation that follows from this output?

Answers

The equation is

log ( milligrams of drug A ) =3 - 0.0737 ( Time)

As per the details  stated above,

Curved relationship between the number of milligrams of drug A is  (x) still in the body and the number of hours since drug A was delivered (y)

The co-efficient of the constant is 3.00

the co-efficient of the time is -0.0737

the SE  co-efficient of the constant is 0.4017

the SE co-efficient of the time is 0.005

the t-ratio of the constant is 7.481

the t-ratio of the time is -14.74

now the equation formed is

logarithm of drug A in milligrams is  (The co-efficient of the constant - the co-efficient of the time )

that is log ( milligrams of drug A ) =3 - 0.0737 ( Time).

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