tom drives 200 miles in 4 hour. he drives the first 32 miles at an average speed of 64mph. work out his average sped for the rest of the journey

Answers

Answer 1

Answer:

His average speed for the rest of the journey was of 48mph.

Step-by-step explanation:

We use the following relation to solve this question:

\(v = \frac{d}{t}\)

In which v is the velocity, d is the distance and t is the time.

First 32 miles at an average speed of 64mph.

So the time for these 32 miles is:

\(64 = \frac{32}{t}\)

\(64t = 32\)

\(t = \frac{32}{64}\)

\(t = 0.5\)

Rest of the trip:

200 - 32 = 168 miles in 4 - 0.5 = 3.5 hours. So the average speed is of:

\(v = \frac{d}{t} = \frac{168}{3.5} = 48\)

His average speed for the rest of the journey was of 48mph.


Related Questions

Kelsey gave the cashier $30 to pay for 4 pounds of steak. The cashier gave her $3.12 in change. Each pound of steak cost the same amount. What is the cost in dollars and cents for each pound of steak? A. $26.88 A. , $26.88, , , , , , B. $6.72 B. , $6.72, , , , , , C. $7.50 C. $7.50, D. $8.28

Answers

Answer:

B

Step-by-step explanation:

30-3.12=26.88 divide that by 4 and you get 6.72

Answer:

The Answer is B, $6.72

Step-by-step explanation:

30-3.12= 26.88

26.88÷ 4= 6.72

Does it take more large paper clips or small paper cps lined up end to end to measure the
width of a piece of printer paper? Explain.

Answers

Answer:

Step-by-step explanation:

You haven't answered any questions, yet…

Does it take more large paper clips or small paper cps lined up end to end to measure thewidth of a piece

What is the coefficient of determination for this data set?

What is the coefficient of determination for this data set?

Answers

Answer:

0.91

explanation:

What is the coefficient of determination for this data set?

Describe the graph of y = 3 x squared and compare it with the graph of y = x squared

Answers

Answer:

\(y=3x^{2}\) has a higher vertical scaling compared to \(y=x^{2}\)

Step-by-step explanation:

Graph it! (:

Answer:

Both graphs are parabolas and they both open upward and pass through 0, 0. The first graph is more narrow than the second graph.

Step-by-step explanation:

This was the possible answer provided :)

A librarian arranged some books on the shelf using the Dewey decimal system. Choose the group of book numbers that
Is listed in ascending order.
549.010, 549.101, 549.02, 549.3
1012, 101.04, 104.21, 110.0
O 834, 834.19, 834.2, 834.29
392.4, 397.46,399.53, 399.062


Answers

Answer:

The answer is C), 834, 834.19, 834.2, 834.29

Step-by-step explanation:

A 13 km 13km13, start text, k, m, end text stretch of road needs repairs. Workers can repair 3 1 2 km 3 2 1 ​ km3, start fraction, 1, divided by, 2, end fraction, start text, k, m, end text of road per week. How many weeks will it take to repair this stretch of road?

Answers

you can start by dividing the total length of the road by the distance that can be repaired per week:

13 km ÷ 3 1/2 km/week = 3.71 weeks

Rounding up, it will take 4 weeks to repair the entire 13 km stretch of road.

Determine if these values form a right triangle. E

Determine if these values form a right triangle. E

Answers

Answer:

They do not.

Step-by-step explanation:

a² + b² = c²    c is the hypotenuse

9² + 12² = 17²

81 + 144 = 289

225  ≠  289

FOR 100 POINTS!!!!!!!!!!!
A food truck did a daily survey of customers to find their food preferences. The data is partially entered in the frequency table. Complete the table to analyze the data and answer the questions:


Likes hamburgers Does not like hamburgers Total
Likes burritos 29 41
Does not like burritos 54 135
Total 110 205

Part A: What percentage of the survey respondents liked neither hamburgers nor burritos? Show all work. (3 points)

Part B: What is the marginal relative frequency of all customers who like hamburgers? Show all work. (3 points)

Part C: Is there an association between liking burritos and liking hamburgers? Use ratios of joint and marginal frequencies to support your answer. (4 points)

Answers

Answer:

Part A:

To find the percentage of survey respondents who liked neither hamburgers nor burritos, we need to calculate the frequency in the "Does not like hamburgers" and "Does not like burritos" categories.

Frequency of "Does not like hamburgers" = Total in "Does not like hamburgers" category = 135

Frequency of "Does not like burritos" = Total in "Does not like burritos" category = 54

Total respondents who liked neither hamburgers nor burritos = Frequency of "Does not like hamburgers" + Frequency of "Does not like burritos" = 135 + 54 = 189

Percentage of survey respondents who liked neither hamburgers nor burritos = (Total respondents who liked neither hamburgers nor burritos / Total respondents) x 100

Percentage = (189 / 205) x 100 = 92.2%

Therefore, 92.2% of the survey respondents liked neither hamburgers nor burritos.

Part B:

To find the marginal relative frequency of all customers who like hamburgers, we need to divide the frequency of "Likes hamburgers" by the total number of respondents.

Frequency of "Likes hamburgers" = 110 (given)

Total respondents = 205 (given)

Marginal relative frequency = Frequency of "Likes hamburgers" / Total respondents

Marginal relative frequency = 110 / 205 ≈ 0.5366 or 53.66%

Therefore, the marginal relative frequency of all customers who like hamburgers is approximately 53.66%.

Part C:

To determine if there is an association between liking burritos and liking hamburgers, we can compare the joint and marginal frequencies.

Joint frequency of "Likes hamburgers" and "Likes burritos" = 29 (given)

Marginal frequency of "Likes hamburgers" = 110 (given)

Marginal frequency of "Likes burritos" = 70 (calculated by adding the frequency of "Likes burritos" in the table)

To assess the association, we compare the ratio of the joint frequency to the product of the marginal frequencies:

Ratio = Joint frequency / (Marginal frequency of "Likes hamburgers" x Marginal frequency of "Likes burritos")

Ratio = 29 / (110 x 70)

Ratio ≈ 0.037 (rounded to three decimal places)

include why or why not pls help

include why or why not pls help

Answers

Answer:

Yes.

Step-by-step explanation:

If you were to make a little box in the corner it would mean its a right angle (or if the angle is 90 degrees)

A taxi company charges based on the function rule P(t) = 0.5t + 2.5, where t is the
time taken for a trip (in minutes) and P(t) is the amount in dollars. If a trip takes 30 minutes, how much will it cost the client?

Answers

Answer:

$17.5

Step-by-step explanation:

hello,

we need to compute P(30)

P(30) = 0.5*30 + 2.5 = 15 + 2.5 = 17.5

hope this helps

Solve the inequality 2 (x - 2) + 8.6 < 14

Answers

The inequality to solve is:

\(2(x-2)+8.6<14\)

First we distribute the 2 inside the parenthesis, we get:

\(\begin{gathered} 2(x-2)+8.6<14 \\ 2x-4+8.6<14 \end{gathered}\)

We collect like terms and solve for x:

\(\begin{gathered} 2x-4+8.6<14 \\ 2x<14+4-8.6 \\ 2x<9.4 \\ x<\frac{9.4}{2} \\ x<4.7 \end{gathered}\)

x is less than 4.7

For which triangle does the Pythagorean Theorem
express the relationship between the lengths of its three
sides?
A
B
C
D

For which triangle does the Pythagorean Theoremexpress the relationship between the lengths of its threesides?ABCD

Answers

Pythagorean theorem is represented by triangle B.

Which triangle express the relationships according to Pythagorean theorem?

In this question we find four cases of triangle, of which we must determine what triangle can be explained by Pythagorean theorem. This theorem offers a relationship between the three sides of the triangle:

r² = x² + y²

Where:

x, y - Legsr - Hypotenuse.

Please notice that hypotenuse is the longest side of the triangle. Graphically speaking, there is a right triangle, that is, a triangle with one right angle. Then, triangle B express the relationship according to Pythagorean theorem.

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cho khối trụ r = 4 và h = 3, thể tích của khối trụ bằng bao nhiêu?

Answers

Answer:

12

Step-by-step explanation:

hi vọng điêu nay co ich

Can someone explain how to do this? Thanks!

Can someone explain how to do this? Thanks!

Answers

Since DF is 32, you can find FH by dividing that by 2. FH is then 16 and EF is 20. You can now use the Pythagorean theorem by plugging in 16^2 +b^2= 20^2
Which is just 256+ b^2 = 400. So B=the square root of 144. Making EH= 12

Check the picture below.

so we know the quadrilateral is a Rhombus, that means all sides are equal and that the diagonals bisect each other, furthermore the diagonals are perpendicular to each other, what the heck all that means?  Well, it means that if we look at any of the triangles, they all have a side of 16 and a hypotenuse of 20, so

\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies a=\sqrt{c^2 - o^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{20}\\ a=adjacent\\ o=\stackrel{opposite}{16} \end{cases} \\\\\\ a=\sqrt{ 20^2 - 16^2}\implies a=\sqrt{ 400 - 256 } \implies a=\sqrt{ 144 }\implies \stackrel{ EH }{a}=12\)

Can someone explain how to do this? Thanks!

Each marble bag sold by Dante's Marble Company contains red marbles for every orange marbles. If a bag has orange marbles, how many red marbles does it contain?

Answers

If a bag has orange marbles, the number of red marbles it will contain would be also the same as the number of orange marbles.

How to derive the number of marbles?

The Dante's Marble Company sells bags of marbles that contains different types of marbles such as both the red and the orange marbles I'm a particular order.

In a bag of marbles, every red marbles = every orange marbles.

Therefore the number of red marbles found in a bag will be the same amount of orange marbles found in the same bag.

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So what is my answer
What is the value of 3 minus (negative 2)?

A number line going from negative 5 to positive 5.
–5
–1
1
5

Answers

Answer:

5

Step-by-step explanation:

Answer:

The value of 3-(-2) is (with steps):

because it's subtracting a negative, we make the negative a positive and add, then solve---->     3+2=5.

A number line going from -5 to 5 is listed below:

     •-5•-4•-3•-2•-1•0  •1  •2 •3  •4 •5

<---•---•---•---•---•---•---•---•---•---•---•--->

Step-by-step explanation:

Basically what I'm saying is that your answer is D.5 because you made the negative a positive and added.

8x^4 - 3x-7 = [?]
X = -1

8x^4 - 3x-7 = [?]X = -1

Answers

8(-1)^4 - 3(-1) -7 (Since, x = -1)
=8+3-7
=4

What is 100 times 10

What is 100 times 10

Answers

Answer:

Central graph

Step-by-step explanation:

When a function has a negative rate of change, it means that as the x value increases, the y value decreases. The only graph that does this continuously is the central one. Hope this helps!

The calculated product of the numbers is 1000

The graph with a negative rate to be (c)

How to calculate the product of the numbers

From the question, we have the following parameters that can be used in our computation:

100 times 10

When represented as an equation, we have

100 times 10 = 100 * 10

Evaluate the products

So, we have the following result

100 times 10 = 1000

Next, we interpret the graph

From the graphs, we have the graph with a negative rate to be (c)

Using the above as a guide, we have the following:

the result is 19/125

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Urgenteee
Un tronco de madera de 3,080 kg de 1m de diametro
y 10m de largo, flota en el agua ¿Cuanto es el volumen de tronco
por arriba de la superficie del agua?

Answers

The volume of the log will be 30,70,760 m³.

What is Archimedes principle?

Mathematically, we can write Archimedes principle as -

F{buoyant} = - fluid density {ρ} x acceleration due to gravity {g} x volume {v}

Given is that a 3080 kg log of wood with a diameter of 1 m and 10 m long, it floats in the water.

Since the log floats on water, the density of both the log and water is same.

So, we can write volume as -

Volume = 3080 x 997 Volume = 30,70,760 m³

Therefore, the volume of the log will be 30,70,760 m³.

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{QUESTION IN ENGLISH -urgent A 3,080 kg log of wood with a diameter of 1 m and 10 m long, it floats in the water. What is the volume of the trunk above the surface of the water?}

Please can someone help me with this question.

Please can someone help me with this question.

Answers

Answer:

\((2 \times 10 {}^{ - 3} ) \times (4 \times 10 ^{4} ) = 8 \times {10}^{1} \)

like and brainlest

The manager of a company wants to find out how many hours the employees worked in the previous month. Which of the following is a statistical question that the manager can ask?

Answers

It only seeks a single value and does not involve collecting data to draw general conclusions.

Which of the following is a statistical question that the manager can ask?

"Which employee worked the most hours in the previous month?" is not a statistical question because it only seeks a single value and does not involve collecting data to draw general conclusions.

On the other hand, "What is the average number of hours worked by employees in the previous month?" is a statistical question because it involves collecting data on all employees and using it to draw general conclusions about the entire workforce.

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There are 6 pails in a row. The first 3 pails are filled with water. How can you make only one adjustment to make the following pattern: full, empty, full, empty, full and empty?​

Answers

The pattern is empty the second pail, leaving the first and third pail full and the fourth and sixth pails empty.

Given that, there are 6 pails in a row. The first 3 pails are filled with water.

The easiest way to solve this problem is to empty the second pail, leaving the first and third pail full and the fourth and sixth pails empty. This will create the desired pattern of full, empty, full, empty, full, empty.

Therefore, empty the second pail, leaving the first and third pail full and the fourth and sixth pails empty.

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What is the volume of the prism below?

What is the volume of the prism below?

Answers

answer: the answer is 64!

Mary, Margaret, Ron, and Nick are to share a scholarship. Ron receives 1/3 of the scholarship; Nick gets 1/4 of the scholarship; Mary receives the same as Nick, and Margaret receives $72,000.

Find each person's share in the scholarship as well as the original scholarship amount

Answers

Thus, Ron's share is $24,000, Nick's share is $18,000, Mary's share is $18,000, and Margaret's share is $72,000.

Let's denote the original scholarship amount as "P."

According to the given information, Margaret receives $72,000, which means the remaining scholarship amount for the other three individuals is P - $72,000.

Ron receives 1/3 of the scholarship, which can be represented as (1/3)(P - $72,000). Nick receives 1/4 of the scholarship, which can be represented as (1/4)(P - $72,000). Mary receives the same as Nick, so Mary's share is also (1/4)(P - $72,000).

Now, we can sum up all the shares to equal the original scholarship amount:

Ron's share + Nick's share + Mary's share + Margaret's share = P

(1/3)(P - $72,000) + (1/4)(P - $72,000) + (1/4)(P - $72,000) + $72,000 = P

To simplify the equation, we can combine like terms:

(P/3 - $24,000) + (P/4 - $18,000) + (P/4 - $18,000) + $72,000 = P

Combining the fractions and constants:

(4P + 3P - 3P + 12P)/12 - $24,000 - $18,000 - $18,000 + $72,000 = P

16P/12 - $48,000 = P

Multiplying both sides of the equation by 12 to eliminate the denominator:

16P - $576,000 = 12P

Subtracting 12P from both sides of the equation:

4P = $576,000

Dividing both sides of the equation by 4:

P = $144,000

Therefore, the original scholarship amount is $144,000.

Ron's share: (1/3)($144,000 - $72,000) = $24,000

Nick's share: (1/4)($144,000 - $72,000) = $18,000

Mary's share: (1/4)($144,000 - $72,000) = $18,000

Margaret's share: $72,000

Thus, Ron's share is $24,000, Nick's share is $18,000, Mary's share is $18,000, and Margaret's share is $72,000.

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Nicole will attend a 2-year college, and she is planning her budget.
Answer the following.
(a) Below is an estimate of all her expenses and sources of funding for her 2-year college
education.
For each, select whether it is an expense or a source of funding.
Expense
Funding
Books and supplies:
Savings:
Scholarships:
Housing and food:
Tuition and fees:
Transportation:
$1700
$7800
$10,240
$14,020
$11,660
$2040
$11,600
$6200
$2980
Grants:
Student loans:
Personal expenses:
(b) What is the total of her estimated expenses?
$
0000
0000 1000
X

Answers

a. Expenses: Books and supplies, Housing and food, Tuition and fees, Transportation and Personal expenses. Funding: Savings,

Scholarships, Grants and Student loans.

b. Total estimated expenses are $29,400

(a) Below is an estimate of all her expenses and sources of funding for her 2-year college education.

Expense:

Books and supplies: $1700

Housing and food: $14,020

Tuition and fees: $11,660

Transportation: $2040

Personal expenses: $2980

Funding:

Savings: $7800

Scholarships: $10,240

Grants: $11,600

Student loans: $6200

(b) What is the total of her estimated expenses?

To find the total estimated expenses, we need to add up all the expenses mentioned:

$1700 + $14,020 + $11,660 + $2040 + $2980 = $29,400

Therefore, the total estimated expenses for Nicole's 2-year college education is $29,400.

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Kayla sells candy bars and cans of soda. She charges $3 for candy bars and $1 for soda. Yesterday she
sold 70 items altogether and earned $100) How much candy did she sell? How much soda?

Kayla sells candy bars and cans of soda. She charges $3 for candy bars and $1 for soda. Yesterday shesold

Answers

There are 15 candy and 55 soda she sell.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Kayla sells candy bars and cans of soda. She charges $3 for candy bars and $1 for soda. Yesterday she sold 70 items altogether and earned $100.

Now, Let number of candy = x

And, Number of soda = y

Here, Yesterday she sold 70 items.

Hence, We get;

⇒ x + y = 70  .. (i)

And, She charges $3 for candy bars and $1 for soda and earned $100.

Hence, We get;

⇒ 3x + y = 100

⇒ y = 100 - 3x .. (ii)

Substitute the value of y from (ii) in (i);

⇒ x + y = 70  

⇒ x + (100 - 3x) = 70  

⇒ x + 100 - 3x = 70  

⇒ - 2x + 100 = 70  

⇒ 100 - 70 = 2x

⇒ 2x = 30

⇒ x = 15

And, from (i);

⇒ x + y = 70  

⇒ 15 + y = 70

⇒ y = 70 - 15

⇒ y = 55

Thus, There are 15 candy and 55 soda she sell.

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Ms. Jimenez surveyed 430 men and 200 women about their vehicles. Of those surveyed, 160 men and 85 women said that they own a white vehicle.

Find P(White)'.

A. 16/43

B. 11/18

C. 23/77

D. 3/7

Ms. Jimenez surveyed 430 men and 200 women about their vehicles. Of those surveyed, 160 men and 85 women

Answers

Answer:

Step-by-step explanation:

Maria wanted a sewing needle that had the smallest diameter. Which needle diameter is the smallest?

0.101 in
0.011 in
0.11 in
0.001 in

Answers

0.001 hope this helps

Real estate ads suggest that 62% of homes for sale have garages 28% have swimming pools and 18% have both features. If a home for sale has a garage what’s the probability that it has a pool too?

Answers

Answer:

Step-by-step explanation:

The events are not independentd) The events are not mutually exclusiveStep-by-step explanation:Hi!Lets call: Gar = {homes with garage}Pool

9. The Super Vision cable TV/Internet/phone provider advertises a flat $100 monthly fee for all
three services for a new customer. The rate is guaranteed for 5 years. Cable Zone normally
charges $46 for monthly home phone service, $36 for monthly Internet service, and $56 for
monthly cable television.
a. How much could a customer save during the first year by switching from Cable Zone to
Super Vision?
b. Super Vision raises the rates 23% after a new customer's first year, how much will a customer
who switched from Super Vision save in the second year?
c. If Super Vision raises the rates 18% for the third year compared to the second year, which
company is cheaper for the third year?

Answers

a. $456 would be the amount a customer could save during the first year by switching from Cable Zone to Super Vision.

b. Super Vision raises the rates 23% after a new customer's first year,  a customer who switched from Super Vision save $180 in the second year.

c. Super Vision raises the rates 18% for the third year compared to the second year, for the third year, Cable Zone would be cheaper.

a. To calculate how much a customer could save during the first year by switching from Cable Zone to Super Vision, we need to compare the costs of the two providers.

Cable Zone charges $46 for monthly home phone service, $36 for monthly Internet service, and $56 for monthly cable television. Therefore, the total cost per month with Cable Zone is:

$46 (home phone) + $36 (Internet) + $56 (cable television) = $138

Super Vision, on the other hand, offers all three services for a flat $100 monthly fee. So, the customer would save:

$138 (Cable Zone cost) - $100 (Super Vision cost) = $38 per month

Therefore, during the first year, the customer could save:

$38 (monthly savings) * 12 (number of months) = $456

b. After the first year, Super Vision raises the rates by 23%. The new monthly fee would be:

$100 (original fee) + 23% (rate increase) * $100 (original fee) = $123

To calculate the savings in the second year, we need to compare the new Super Vision fee to the cost with Cable Zone:

$138 (Cable Zone cost) - $123 (Super Vision cost) = $15 per month

Therefore, in the second year, the customer would save:

$15 (monthly savings) * 12 (number of months) = $180

c. If Super Vision raises the rates by 18% for the third year compared to the second year, we need to calculate the new monthly fee. The new Super Vision fee would be:

$123 (second-year fee) + 18% (rate increase) * $123 (second-year fee) = $145.14

To determine which company is cheaper for the third year, we compare the new Super Vision fee to the cost with Cable Zone:

$138 (Cable Zone cost) - $145.14 (Super Vision cost) = -$7.14

In this case, the Super Vision cost is higher than the Cable Zone cost by $7.14 per month. Therefore, for the third year, Cable Zone would be cheaper.

Overall, during the three-year period, the customer would save a total of $456 (first year) + $180 (second year) = $636 by switching to Super Vision.

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