The first part of the trip was in a surrey at 8 mph, and the last part was in a buckboard at 12 mph. If the total trip was 104 miles and took 10 hours, how much of the trip was made in each type of carriage?

Answers

Answer 1

Answer:

4 hours at 8 mph and 6hours at 12 mph.

Step-by-step explanation:

8t + 12(10-t) = 104

8t + 120 - 12t = 104

4t = 16

t = 4

Answer 2

The trip made on surrey was for 4 hours and on buckboard was for 6 hours.

What is speed?

Speed is a scalar quantity that refers to "how fast an object is moving." Speed can be thought of as the rate at which an object covers distance.

Given that, the first part of the trip was in a surrey at 8 mph, and the last part was in a buckboard at 12 mph and the total trip was 104 miles and took 10 hours,

Speed = distance / time

Let t be the time,

Therefore,

8t + 12(10-t) = 104

8t + 120 - 12t = 104

4t = 16

t = 4

Therefore, we get, 4 hours at 8 mph and 6 hours at 12 mph.

Hence, the trip made on surrey was for 4 hours and on buckboard was for 6 hours.

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Related Questions

HELP ME OUT REALL FAST PLEASEE

Answers

Answer:

The answer is C because you have to multiply them both:)

Answer:

The answer is C

Step-by-step explanation:

What I'm about to write is overkill for this question, but it works for any common denominator. Factor the denominators.

10: 2 * 5

5 : 1 * 5

You need 1 five and 1 two. The answer is 10

The correct way to go about doing the question is to multiply the 5 by 2 and the 2 on top by 2

2*2/5*2 = 4/10

1/10        1 / 10

4/10 + 1/10

Look at image which graph shows T (ABC)?

Answers

Answer:

A.

Step-by-step explanation:

That is a translation of 3 units left and 6 units down.

Amaia purchased two blouses and a skirt for a total of $32. The sales tax rate is 8%. How much total sales tax will Amaia pay on these items?

Answers

Answer:

2.56

Step-by-step explanation:

8% of 32 is 2.56

Danielle earns $36.80 for 4 hours of yardwork. MacKenzie earns $50.40 for 6 hours of yardwork.
Who earns more money per hour? How much more? Use the drop-down menus to show your answer.


Choose...
earns
Choose...
more per hour.

Answers

Answer:It is Danielle i guess cause she earns 9.2 each hour and MacKenzie gets 8.4 an hour

:)

Solve the following equations for x.
kx - b=3d + 7b

Answers

Answer:

x= 3d/k +8b/k i think

Step-by-step explanation:

A genetic experiment with peas resulted in one sample of offspring that consisted of 438 green peas and 173 yellow peas.

Required:
a. Construct a 95â% confidence interval to estimate of the percentage of yellow peas.
b. It was expected thatâ 25% of the offspring peas would be yellow. Given that the percentage of offspring yellow peas is notâ 25%, do the results contradictâ expectations?

Answers

Answer:

a

The 95% confidence interval is [tex] 0.2474 < p < 0.3188 [/tex]

b

  The result obtained does not contradict expectation

Step-by-step explanation:

From the question we are told that

   The number of green peas is  k =  438

   The number of yellow peas is u =  173

Generally the sample size is mathematically represented as

       [tex]n = k + u[/tex]

=>    [tex]n = 438 + 173[/tex]

=>    [tex]n = 611[/tex]

Generally the sample proportion for yellow peas is

      [tex]\^ p = \frac{u}{n}[/tex]

=>   [tex]\^ p = \frac{173}{611 }[/tex]

=>   [tex]\^ p = 0.2831[/tex]

From the question we are told the confidence level is  95% , hence the level of significance is    

      [tex]\alpha = (100 - 95 ) \%[/tex]

=>   [tex]\alpha = 0.05[/tex]

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

   [tex]Z_{\frac{\alpha }{2} } =  1.96[/tex]

Generally the margin of error is mathematically represented as  

     [tex]E =  Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p (1- \^ p)}{n} } [/tex]

=>  [tex]E =  1.96 * \sqrt{\frac{ 0.2831 (1- 0.2831)}{611} } [/tex]

=>  [tex]E =  0.0357 [/tex]

Generally 95% confidence interval is mathematically represented as  

      [tex]\^ p -E <  p <  \^ p +E[/tex]

=>     [tex] 0.2831  -0.0357 <p< 0.2831  + 0.0357[/tex]

=>     [tex] 0.2474 < p < 0.3188 [/tex]

From the question we are told that it was expected that 25% of the offspring peas will be yellow

   Now from the 95% confidence interval obtained we see that the expected sample proportion(25% ) falls within it so  it means that the result obtained does not contradict expectation

HELP MEEEEEEEEEEEEEEE


During flag rugby, attacking players (offensive players) are NOT allowed to do the following: (Select all that apply)
Group of answer choices

Kick the ball

Flag guard

Run with the ball

Hand the ball to another player

Answers

Answer:

Kick the ball and run with the ball

Step-by-step explanation:

A delivery truck is transporting boxes of two sizes large and small. The combined weight of a large box and a small box is 80 pounds. The tuck is transporting
50 large boxes and 55 small boxes. If the truck is carrying a total of 4125 pounds in boxes, how much does each type of box weigh?

Large box:
Small box:

Answers

Answer:

small=15 large=40

Step-by-step explanation:

x=large box

y=small box

55 = x + y

 

50x + 55y = 2825

 

50x + 55( 55 - x) = 2825

 

50x + 3025 - 55x = 2825

 

0 = 55x - 50 x + 2825 - 3025

 

0 = 5x - 200

 

200 = 5x

 

x=40

 

y = 15

here is a list of number 51 38 48 36 39 40 39 47

WHAT is the median

Answers

Answer:

36

Step-by-step explanation:

Median is the Middle number in the sequence.

Hope this Helps!!

:D

First need to place in value order:
36 38 39 40 47 48 51

So 40 is the median/middle number

If 39 twice is a typo and there are 8 numbers then average the two middle numbers (the 4th and 5th numbers)

CAN U GUYS PLZ HELP!!

Answers

Answer:

C. 5/2

Step-by-step explanation:

Two points that the graph passes through are (-5, -4) and (-3, 1). This tells us that the graph goes up 5 units at the same rate that it goes right 2 units. Since the slope of a graph is simply the movement of the y values over the movement of the x values, the slope of this graph is 5/2, which is option C.

The sales tax for an item was $18.60 and it cost $ 310 before tax. Find the sales tax rate. Write your answer as a percentage.

Answers

about 16 cent per dollar

Tom is the custodian at the local highschool. He has a circular key ring with 9 keys on it. How many different arrangements of those keys can Tom make on his key ring?

Answers

tom will have his key 10

Answer:

40,320.. took the test on USA test prep

Step-by-step explanation:

20POINTS WILL MARK BRANLIEST PLSS
The layout of a city park is pictured in the figure above. Park managers would like to find the distance of segment DE, in order to build a walkway across the middle of the park. The park managers look up the distance of segments BC and AB in the city records. If the length of segment AB is determined to be 562 feet, what is the distance of mid-segment DE in feet?

Select one:
A. 220
B. 244
C. 276
D. 281

Answers

244 is the correct answer

what's the answer please I need one
200+ 270-56=

Answers

Answer:

414

Step-by-step explanation:

414 there’s your answer

What is the polynomial of least degree with the given zeroes -2 and 4?

Answers

Answer:

-2

Step-by-step explanation:

base on my stuck knowledge

8. Kim has a fever. Her temperature is 100.5 degrees Fahrenheit. Norr
temperature is 98.6 degrees Fahrenheit, How much above normal
temperature is Kim's fever?

Answers

Answer:

1.9 degrees above the normal temperture

Step-by-step explanation:

Normal temperture: 98.6 degrees Fahrenheit

100.5 - 98.6 =  1.9  

A snowboard shop charges $10, plus an additional #3 per hour to rent a snowboard. Write the equation for the line in slope-intercept form.

HURRY HELP PLS!!

Answers

Answer:

y = 3x + 10

Step-by-step explanation:

Answer:

im pretty sure it is (0,5) or (10,0)

Step-by-step explanation:

You are trying to determine if you should accept a shipment of eggs for a local grocery store. About 4% of all cartons which are shipped have had an egg crack while traveling. You are instructed to accept the shipment if no more than 10 cartons out of the 300 you inspect have cracked eggs. What is the probability that you accept the shipment? (In other words, what is the probability that, at the most, you had 16 cartons with cracked eggs?)
a. 1012.
b. 3669.
c. 5319.
d. 4681.
e. 5832.
f. 6331.

Answers

Answer:

0.8809

Step-by-step explanation:

Given that:

The population proportion p = 4% = 4/100 = 0.04

Sample mean x = 16

The sample size n = 300

The sample proportion [tex]\hat p =\dfrac{x}{n}[/tex]

= 16/300

= 0.0533

[tex]P(\hat p \leq 0.0533) = P\bigg ( \dfrac{\hat p - p}{\sqrt{\dfrac{P(1-P)}{n}}}\leq\dfrac{0.0533 - 0.04}{\sqrt{\dfrac{0.04(1-0.04)}{300}}}\bigg )[/tex]

[tex]P(\hat p \leq 0.0533) = P\bigg ( Z\leq\dfrac{0.0133}{\sqrt{\dfrac{0.04(0.96)}{300}}}\bigg )[/tex]

[tex]P(\hat p \leq 0.0533) = P\bigg ( Z\leq\dfrac{0.0133}{\sqrt{\dfrac{0.0384}{300}}}\bigg )[/tex]

[tex]P(\hat p \leq 0.0533) = P\bigg ( Z\leq\dfrac{0.0133}{\sqrt{1.28 \times 10^{-4}}}\bigg )[/tex]

[tex]P(\hat p \leq 0.0533) = P\bigg ( Z\leq\dfrac{0.0133}{0.0113}}\bigg )[/tex]

[tex]P(\hat p \leq 0.0533) = P\bigg ( Z\leq1.18}\bigg )[/tex]

From the z tables;

= 0.8809

OR

Let X be the random variation that follows a normal distribution;

Then;

population mean [tex]\mu[/tex] = n × p

population mean [tex]\mu[/tex] = 300 × 0.04

population mean [tex]\mu[/tex] = 12

The standard deviation [tex]\sigma = \sqrt{np(1-p)}[/tex]

The standard deviation  [tex]\sigma = \sqrt{300 \times 0.04(1-0.04)}[/tex]

The standard deviation [tex]\sigma = \sqrt{11.52}[/tex]

The standard deviation  [tex]\sigma = 3.39[/tex]

The z -score can be computed as:

[tex]z = \dfrac{x - \mu}{\sigma}[/tex]

[tex]z = \dfrac{16 -12}{3.39}[/tex]

[tex]z = \dfrac{4}{3.39}[/tex]

z = 1.18

The required probability is:

P(X ≤ 10) = Pr (z  ≤ 1.18)

= 0.8809

The table below represents equivalent ratios.

X y
6= 10
12 = 20
??= 45

Answers

Answer:

27

Step-by-step explanation:

6/10=12/20 because when you cross multiply, 120=120, so then you can do wither 6/10=x/45 and when you cross multiply you get 270=10x and 270/10=27.

-2(b+5)= -6
What is b?

Answers

Answer:

-2

Step-by-step explanation:

It would be =

-2(-2 + 5) = -6

4 - 10 = -6

-10 and a positive four is a -6

What is the multiplicative inverse of 1 2/3

Answers

Answer:

sorry if im wrong but im pretty sure -5/3

Step-by-step explanation:

Answer:

2/1

Step-by-step explanation:

A calculator showed me that this was the answer. I would give you the link but I would probably get deleted. I already got warned so yeah.

Hope this helps!

7n + 5 =68.... how to solve this problem and show my work​

Answers

Answer:

n=9

Step-by-step explanation:

7n = 68

- 5

7n = 63

n =9

Answer:

Today: Friday, 06 November 2020

Hour: 09.41 WIB (Indonesia)

_______________________________

7n + 5 = 68

7n = 68 - 5

7n = 63

n = 63/7

n = 9

write a linear equation in slope intercept form for a line that passes through the point 6,-2 and has a slope of -2/3

Answers

y=0.625x+1.75 is the equation for your problem.

What is the sum of \-2 and \-18

Answers

Answer:

-20

Step-by-step explanation:

-2 + -18 = -20

Jason used a graphing tool to find the equation of the line of best fit in this scatter plot. After reading the equation of the line from the graphing tool, Jason wrote in his notebook that the line of best fit is represented by the equation y = 0.316x + 9.105. Jason likely an error when writing the equation in his notebook because the slope and the y-intercept of the equation he wrote.

Answers

Answer: Jason likely MADE an error when working the equation in his notebook because ONLY THE Y-INTERCEPT MATCHES the slope and the y-intercept of the equation he wrote.

Step-by-step explanation:

type 900 words in 15 min how many words permin

Answers

Answer:

60 wpm

Step-by-step explanation:

900/15

Answer:

60

words is the answer.

Step-by-step explanation:

ok

Based on the information below, what are the values of x and y of the solution to the system of equations used to create
the information?

Answers

Answer:

x = 4; y = 12

Step-by-step explanation:

The value of x and y is 4,12., the correct option is C.

What is a Matrix?

A matrix is an array of numbers or expressions used in mathematics to solve a system of equations.

The matrix A is

[tex]\begin{pmatrix}1/2 & 1/4\\ 9& -3\end{pmatrix}[/tex]

The matrix Ax is

[tex]\begin{pmatrix}5 & 1/4\\ 0& -3\end{pmatrix}[/tex]

The matrix Ay is

[tex]\begin{pmatrix}1/2 & 5\\ 9& 0\end{pmatrix}[/tex]

The determinant for all the matrices is

|A| = -15/4

|Ax| = -15

|Ay| = -45

The value of x is (|Ax|) /(|A|) = -15 / (-15/4) = 4

The value of y is ( |Ay|)/(|A|) = -45 /(-15/4) = 12

Therefore, the value of x and y is 4,12., the correct option is C.

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If an initial amount A0 of money is invested at an interest rate i compounded times a year, the value of the investment after t years is If we let n = 8, that is referred to as the continuous compounding of interest. Use L' Hospital's Rule to show that if interest is compounded continuously, then the amount after years is A=A0eit

Answers

Answer:

Following are the solution to the given point:

Step-by-step explanation:

Please find the comp[lete question in the attached file.

Given:

[tex]\bold{ \lim_{n \to \ \infty} (1+ \frac{r}{n})^{nt} =e^{rt}}[/tex]

In point 1:

[tex]\to y = (1+ \frac{r}{n})^{nt}[/tex]

In point 2:

[tex]\to \ln (y)= nt \ln(1+ \frac{r}{n})[/tex]

In point 3:

Its key thing to understand, which would be that you consider the limit n to[tex]\infty[/tex],  in which r and t were constants!  

[tex]=lim_{n \to \ \infty} \ln (y) = lim_{n \to \ \infty} nt \ln(1+\frac{r}{n})\\\\= lim_{n \to \ \infty} \frac{\ln(1+\frac{r}{n})}{\frac{1}{nt}}\\\\= lim_{n \to \ \infty} \frac{\frac{-r}{\frac{n^2}{(1+\frac{r}{n})}}}{- \frac{1}{n^2t}}\\\\= lim_{n \to \ \infty} \frac{\frac{rn^2t}{n^2}}{(1+\frac{r}{n})}\\\\= lim_{n \to \ \infty} \frac{rt}{(1+\frac{r}{n})}\\\\= \frac{rt}{(1+\frac{r}{0})}\\\\=rt[/tex]

In point 4:

[tex]\to \lim_{n \to \ \infty} = (1+\frac{r}{n})^{nt}[/tex] and

[tex]\to \lim_{n \to \ \infty} = A_0e^{rt}[/tex]

The diameter of a circle is 44 what’s the radius

Answers

Answer:

22

Step-by-step explanation:

150 adults complete a survey 80
are women​

Answers

Answer:

70 men

Step-by-step explanation:

We can subtract to find the amount of men who took the survey.

150 - 80 = 70

Best of Luck!

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