Jana ran the first 312 miles of a 5-mile race in 13 hours. What was her average rate, in miles per hour, for this first part of the race? Explain how you solved the problem.

Answers

Answer 1

Answer:

speed = distance / time

Jana's speed is

  speed = (3.5 mi)/(1/3 h) = 3*3.5 mi/h = 10.5 mi/h


Related Questions

Luisa's restaurant bill comes to $85.50, and she leaves a 18% tip. What is Luisa's total
restaurant bill?

Answers

Answer:

85.50+15.39=100.89 dollars

Step-by-step explanation:

First, you calculate the tip cost, which is 15.39. Then you add that to the bill which gives you your total :D


If the radius is 21 cm and the angle at
center of circle is 140° then the length of
the arc is ?

Answers

Step-by-step explanation:

Given: Radius , r =21 cm

The angle at the center of the circle, n° =140°

Length of an arc =?

W.K.T Formula, Length of an arc = 2πr( n°÷360°) units

= 2*(22/7)*21*(140°/360°)

= 154/3

= 51.33cm

Answer:

2*(22/7)*21*(140°/360°)

= 154/3

= 51.33cm

Step-by-step explanation:

pamela ran 7/10 miles on tuesday and 3/8 mile on thursday. How much farther did she sun on tuesday ?

Answers

Answer:

she ran 0.325 more on tuesday then tursday

Step-by-step explanation:

because i know

what is the midpoint of the segment shown below ?

Answers

(1, -3/2) is your answer. The answer is D.

Muffins are sold in packages of 18. Select the expressions that can represent the total number of muffins in p packages of muffins.
A. 18 + p
B. 18 × p
C. 18 – p
D. 18 ÷ p
E. 18p

Answers

i would say that the answer is e

a bowling alley charges $4.00 per game and will rent a pair of shoes for $2.00 for any number of games. The bowling alley has an earnings goal of $400 for the day. write the linear equation.

Answers

Answer:

We need 130 games to reach the goal

Step-by-step explanation:

You earn 18n dollars. How much do you earn for mowing 3 lawns? 9 lawns?

Answers

Answer:

I am confused but my best guess would be you would earn 54$ for 3 lawns and 162 for 9

Step-by-step explanation:

You multiply 3 x 18 and 9 x 18

Im sorry if im wrong but i dont know what you were asking

"Individuals, cultures, societies, and the world change through times of conflict and cooperation."
The statement above exemplifies the era of global expansion and encounter. What other word also reflects this theme?
Technology
Trade
Monopoly
Hegemony

Answers

I would say hegemony
Hegemony because it encompasses dominance in which cultures typically dominate over one another creating a popular culture.

There is a proportional relationship between time in hours and time in days.

A. What is the constant of proportionality?

B. what equation describes this relationship?

Answers

Of the proportional relationship between time in hours and time in days, we have that:

a) The constant of proportionality is 24.

b) The equation is [tex]h = 24d[/tex].

What is a proportional relationship?A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

[tex]y = kx[/tex]

In which k is the constant of proportionality.

Item a:

A day has 24 hours, hence the constant of proportionality is 24.

Item b:

Considering the time in hours as the output and the time in days as the input, the equation is:

[tex]h = 24d[/tex]

You can learn more about proportional relationships at https://brainly.com/question/25815502

The U.S. Department of Agriculture claims that the mean consumption of coffee by a person in the United States is 24.2 gallons per year. A random sample of 101 people in the United States shows that the mean coffee consumption is 23.5 gallons per year with a standard deviation of 3.2 gallons. At α=0.05, can you reject the claim? Using a P-value, evaluate the claim. Using Rejection Regions for a z-test, evaluate the claim.

Answers

Answer:

The decision rule is  

Reject the null hypothesis  

The conclusion is  

There is sufficient evidence to reject the claim  

Step-by-step explanation:

From the question we are told that

   The population mean is  [tex]\mu = 24.2 \ gallons \ per \ year[/tex]

    The sample size is  n  =  101

     The sample mean is  [tex]\= x = 23.5 \ gallons\ per\ year[/tex]

     The standard deviation is  [tex]\sigma = 3.2 \ gallons[/tex]

The null hypothesis is  [tex]H_o : \mu = 24.2[/tex]

 The alternative hypothesis is [tex]H_a : \mu \ne 24.2[/tex]

Generally the test statistics is mathematically represented as    

               [tex]z = \frac{ \= x - \mu }{ \frac{\sigma }{ \sqrt{n} } }[/tex]

=>             [tex]z = \frac{ 23.5 - 24.2 }{ \frac{ 3.2}{ \sqrt{ 101} } }[/tex]  

=>             [tex]z = -2.198[/tex]

From the z table  the area under the normal curve to the left corresponding to    -2.198  is  

         [tex]P(Z < -2.198 ) = 0.013975[/tex]

Gnerally the  p-value is mathematically represented as

         [tex]p-value = 0.013975 * 2[/tex]

=>      [tex]p-value = 0.02795[/tex]

From the value obtained we have that  [tex]p-value \ < \ \alpha[/tex] hence  

The decision rule is  

Reject the null hypothesis  

The conclusion is  

There is sufficient evidence to reject the claim  

Using the Rejection Regions for a z-test method

Generally from the z table  the critical value  of [tex]\frac{\alpha }{2}[/tex]  is  

     [tex]z_{critical} = \pm 1.96[/tex]

Not we are using  [tex]\frac{\alpha }{2}[/tex]  because it is a two - tailed test

   Now comparing the critical value and the test statistics we see that the

region covered by  the test statistics (i.e [tex]2.198 < z < -2.198[/tex])   is greater than the region covered by  the critical value  (i.e [tex]1.96 < z < -1.96[/tex])

Hence

The decision rule is  

Reject the null hypothesis  

The conclusion is  

There is sufficient evidence to reject the claim  

rename the fraction 2/5 using tenths and hundredths​

Answers

Answer:

20/50

Step-by-step explanation:

i think

Solve the system by graphing 3x+y=4 and x-y=4

Answers

Attached is a pic of the graph

Carly earned some money doing odd jobs last summer and put it in a savings account that earns 5% interest compounded quarterly. After 2 years, there is $400.00 in the account. How much did Carly earn doing odd jobs? * A. 155.90 B. 441.79 C. 390.18 D. 362.16​

Answers

I believe it’s 362.16 but not 100%

What is 18 percent of 210?

Answers

Answer:

WN=37.8

Step-by-step explanation:

WN=18%*210

WN=0.18*210

WN=37.8

There are 2400 students in a school 45% of them are boys how many boys are in the school

Show your work in the answer

Answers

Answer:

1080 boys

Step-by-step explanation:

2400 x 0.45 = 1080

Choose the diagram that correctly represents the ordered pairs below.
(1,4), (4, -1), (2,3), (-3, 1), (0,-5)

Answers

Answer:

Step-by-step explanation:

Is there a picture

multiple of 3 and 5 less than 47 but greater than 42....​

Answers

Answer:

45

Step-by-step explanation:

45 > 42 but < 47 and it's a multiple of 3 and 5

Manuel ate lunch in 5 minutes. How many seconds is this?

Answers

Answer:

300 seconds

Step-by-step explanation:

1 minute= 60 seconds

5 x 60 = 300

Answer:

1 minute is 60 seconds, so 60 x 5 is 300. So your answer is 300 seconds

5.00 minus2.40minus1.33= plz show me how you got that answer step by step

Answers

Answer:

5.00 -2.40= 2.60

2.60-1.33= 1.27

The answer is 1.27

Step-by-step explanation:

A wizard-in-training has 300 grams of 20% liquid-gold solution. He wishes to drain some and replace it with an 80% solution, so that he gets 300 grams of 35% solution. How many grams should the wizard drain and replace with 80% solution?

Answers

Answer:

it would take 4 grams. I hope this helps

Answer:

75 grams! hope this helps :3

Sam mows a ¼ of a lawn in ½ of an hour. At this rate, how long will it take him to finish one lawn?

Answers

Answer:

Two hours

Step-by-step explanation:

1/4 = 1/2

2/4 = 1

3/4 = 1 1/2

4/4 = 2

2 hours if he mows 1/4 im 1/2 then 2/4 would be 1 hour then 3/4 would be 1 1/2 hour then 4/4 would be 2 hours so ur answer is 2 hours

-26=b-13
Plz answer I’m a month late on this test

Answers

Answer:

B = -13

Step-by-step explanation:

Add 13 to both sides

- 13 = b

Find the greatest common factor of 6 and 35

Answers

Answer:

6

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

What the equivalent (2×)(5y)(5y)

Answers

Answer:

50xy

Step-by-step explanation:

(2x)(5y)(5y)

~Simplify

(2x)(25y)

~Multiply

50xy

Best of Luck!

Can anyone solve this? If so tell me and make sure u know what ur doing please

Answers

Answer:

-2

Step-by-step explanation:

To find the slope of a line, you need to find the [tex]\frac{rise}{run}[/tex] between two points. I will be using the points (-3, 2) and (-1, -2).

[tex]\frac{rise}{run}[/tex] = [tex]\frac{-2-2}{-1-(-3)}[/tex]

     = [tex]\frac{-2-2}{-1+3}[/tex]

     = [tex]\frac{-4}{2}[/tex]

     = -2

Answer this please i need help

Answers

Answer:

Slope m = -3

y-intercept (0, 0)

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Step-by-step explanation:

Step 1: Define

y = -3x

Step 2: Break Function

Identify Parts.

Slope m = -3

y-intercept b = 0

part two thinking a number between 1 and 10 but doble the money!

Answers

The answer is 5 dhrnrhenebbebdbrhebrjrn

Abel Alonzo, Director of Human Resources, is exploring employee absenteeism at the Harrison Haulers Plant. Abel knows that absenteeism varies significantly between departments. For example, workers in the wood shop are absent more than those in the tuning department and the size of the departments ranges from 40 to 120 workers. He orders a random sample of 10 workers from each of the six departments. Abel's sample is a

Answers

Answer:

disproportionate stratified sample

Step-by-step explanation:

Based on the given information we can say that Abel's sample is a disproportionate stratified sample. This is the case mainly because the department worker population ranges from 40 to 120 workers. This changing population makes the 10 workers that were chosen for the sample not proportionate to the entire population. Therefore, under different population sizes workers have different chances of getting selected for the study which ultimately creates different results.

3) Luan is borrowing $5000 to buy Sacramento Kings season tickets
for her family. She is planning to pay it back over three years.
She can borrow the money from a finance company at a 6.5% add-on
interest rate for three years or she can borrow it instead from
her credit union, making 36 monthly payments of $164.50. Find the
total amount Luan will have to pay back with each option and the
APR (to the nearest half percent) of each loan.

Answers

Answer:

16000

Step-by-step explanation:

it works bebeaoc usfztbee jdxeevehe ue

Question #5
Consider the equation.
72 +48 = 8
1+6)
Enter the unknown number that makes the equation true.
Your answer
Σ

Answers

X=9 how to solve: 72+48=8x+48
72=8x 8*9=72
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