Suppose two trains leave a station at the same​ time, traveling in opposite directions. Train B travels 10 mph faster than Train A. In 3.5 ​hours, the trains are 336 miles apart. Find the speed of each train.

Answers

Answer 1

Answer:

B

Step-by-step explanation:

Train B is faster


Related Questions

si compro una camisa de 100 pesos con el 10% de descuento cuanto tengo que pagar en total​

Answers

Answer:

$90

Step-by-step explanation:

10% de 100 es 10; 100-10=90

Answer:

90 pesos

Step-by-step explanation:

10% de 100 es 10. Resta esos 10 pesos de los 100, y te da tu resultado de 90 pesos.

Si necesitas que te lo explique mas, dime y te ayudare :)

Customers at the Palace Pro Shop receive a 10% discount if they are members. All customers must pay 7% in sales tax. The function f(x)=0.9x is used to determine the price of an item after the 10% member discount, where x is the regular price of the item. The function g(x)=1.07x is used to determine the total amount customers pay for a purchase after all discounts are applied. Which function can be used to determine T(x), the total amount a member pays for an item with a regular price of x dollars?

T(x)=0.963x
T(x)=0.17x
T(x)=1.19x
T(x)=1.97x

Answers

Answer:

0.963

Step-by-step explanation:

It’s correct

The average of the first 3 weights was 14 pounds. The average of the next 7 was 4 pounds. What was the overall average of the weights?

Answers

Answer:

[tex]Average = 10[/tex]

Step-by-step explanation:

Given

[tex]First\ Three = 14[/tex] --- Average

[tex]Next\ Seven= 4[/tex] --- Average

Required

Determine the overall average

Represent the sum of the first three with x.

So:

[tex]\frac{x}{3} = 14[/tex]

Solve for x

[tex]x = 14 * 3[/tex]

[tex]x = 42[/tex]

Represent the sum of the next seven with y.

So:

[tex]\frac{y}{7} = 4[/tex]

Solve for y

[tex]y = 4 * 7[/tex]

[tex]y = 28[/tex]

The overall average is calculated as thus:

[tex]Average = \frac{x + y}{7}[/tex]

[tex]Average = \frac{42 + 28}{7}[/tex]

[tex]Average = \frac{70}{7}[/tex]

[tex]Average = 10[/tex]

The function C(x)=16x+4,200 represents the cost to produce x number of items. How many items should be produced so that the average cost is less than $40?

Answers

Answer:

175

Step-by-step explanation:

A population’s instantaneous growth rate is the rate at which it grows for every instant in time. Function r gives the instantaneous growth rate of a fruit fly population x days after the start of an experiment.

r(x) = 0.05(x^2 + 1)(x - 6)

Consider the graph of function r.

Function r has (blank) and (blank). Based on the instantaneous growth rate, the population decreased (blank) hours and the population increased (blank) hours.

Answers

Answer:

Decreased 4 days-96 hours

Increased 6 days-144 hours

Step-by-step explanation:

In order to solve this you just have to look at the graph and after the start of the experiment which is basically the origin of the graph and as you can see immidiately goes down after the start and it reaches the turning point in the day four which is when the graph starts to go up in the Y axis, so that day it would start the increase, and it increases from day 4 to 10 that would be 6 days, and the decrease would be from the origin to day 4.

Suppose that 28 crayons, of which four are red, are divided randomly among Jack,Marty, Sharon, and Martha (seven each). If Sharon has exactly one red crayon, what is the probability that Marty has the remaining three?

Answers

Answer:

0.0263

Step-by-step explanation:

A simple random sample of 100 men is chosen form a population with mean height 71 in and standard deviation 2.5 in. What is the probability that the average height of the men in the sample is less than 70.5in?

Answers

Answer:

2.28%

Step-by-step explanation:

The z score is used to determine how many standard deviations that the raw score is above or below the mean. If the z score is positive then the raw score is above the mean and if it is negative then it is below the mean. It is given by:

[tex]z=\frac{x-\mu}{\sigma}\\ \\\mu = mean, \sigma=standard\ deviation,x=raw\ score\\\\For\ a\ sample\ n\\\\z=\frac{x-\mu}{\sigma/\sqrt{n} }\\\\For\ x<70.5\ in\\\\Given \ that\ n=100, \mu=71\ in, \sigma=2.5\ in\\\\z=\frac{70.5-71}{2.5/\sqrt{100} }=-2\\\\From\ normal\ distribution\ table, P(x<70.5)=P(z<-2)=0.0228=2.28\%[/tex]

Bill was looking through a microscope. He called Sue over to tell her what he saw. He showed her a cell wall, nucleus, mitochondria, and chloroplast. What type of cell was he looking at?

A. Prokaryotic cell B. Plant cell
C. Animal cell
D. Red blood cell

Answers

Answer:

B. Plant cell

Step-by-step explanation:

Prokaryotic cells do not contain an enclosed nucleus or chloroplast

Red blood cells do not contain chloroplast

Animal cells do not contain chloroplast


a) how would you work out 4 1/3 x 6?

Answers

I think you would work it by timing the 6 and 4

The solution of the expression 4¹/₃ x 6 will be 26.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expression is 4¹/₃ x 6. The expression of multiplication will be solved as below,

E =  4¹/₃ x 6

E = ( 13 / 3 0 x 6

E = 13 x 2

E = 26

Hence, the solution will be 26.

To know more about an expression follow

https://brainly.com/question/28773316

#SPJ2

Travel time data is collected on an arterial. With 30 runs, an average travel time of 152 seconds is computed over the 2.0 miles length, with a computed standard deviation of 17.3 seconds.

Required:
a. Compute 95% confidence bounds on your estimate of the mean.
b. Was it necessary to make any assumption about the shape of the travel-time distribution?

Answers

Answer:

a

 The 95% confidence bounds is  [tex] 145.80 <  \mu <   158.19 [/tex]

b

It was not necessary to make any assumption about the shape of the travel  time distribution

Step-by-step explanation:

From the question we are told that

 The sample size is  n =  30  

  The sample mean  is  [tex]\=x = 152[/tex]

   The standard deviation is  [tex]\sigma = 17.3 \ second[/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} } *  \frac{\sigma }{\sqrt{n} }[/tex]

=>    [tex]E =  1.96 *  \frac{17.3 }{\sqrt{30} }[/tex]

=>     [tex]E = 6.19  [/tex]  

Generally 95% confidence bounds  is mathematically represented as  

      [tex]\= x -E <  \mu <  \=x  +E[/tex]

=>  [tex]152  -6.19 <  \mu <  152  -6.19[/tex]

=> [tex] 145.80 <  \mu <   158.19 [/tex]

This 95% confidence bounds show that there is 95% confidence that the true mean lies within this bound hence there is it was not necessary to make any assumption about the shape of the travel  time distribution

Is 1.994 greater or lesser than 1.493

Answers

Answer:

greater than

Step-by-step explanation:

1.994 is closer to 2 than 1.493 so it is greater!

Solve the inequality. Graph the solution. -4s<6s +1

Answers

Answer:

Step-by-step explanation:

First solve the inequality by writing it.

-4s < 6s + 1

Now subtract -1 on both sides.

-4s - 1 < 6s

Now add 4s on both sides to combine like terms.

-1 < 10s

Now divide 10 on both sides.

-0.1 < s

Now flip it over properly.

s > -0.1

Hope this helped! <3

Maria needs 3/4 of a cup of sugar for one serving of her recipe. How many cups of sugar will she need for 5 servings?

Answers

Answer:

3.75 cups of sugar. I think

Answer:

3 3/4

Step-by-step explanation:

3/5 times 5

1.multiiply the numerator by 5

The numerator is the top number which is 3 in this case

So 3x5 is 15

You keep the denominator 4

so 15/4 that is an improper fraction now divide 15 by 4

or count by fours

4,8,12,16

16 is more than 15 so the new numerator is 12 and how many times did we count to fours? 3 times

so 3 is a whole now subtract the 12 you already took with 15. 3 is the extra so 3 wholes and 3 extras which is 3 3/4

*remember you keep the denominator the same

A merchant surveyed 370 people to determine the way they learned about an upcoming sale. The survey showed that 170 learned about the sale from the radio 140 from television 190 from the newspaper, 90 from radio and television, 120 from radio and newspapers, 80 from television and newspaper, and 70 from all three sources. how many people learned of the sale from newspapers or radio, but not both?

Answers

240

Because 170+190= 360 .
360-120=240

Solve the formula for f2

f =

f1f2/

f1 + f2

Answers

Answer:

The answer is "[tex]\bold{ F2 = \frac{F F1}{(F1-F)}}[/tex]"

Step-by-step explanation:

Given:

[tex]\bold{F = \frac{F1 F2}{(F1 + F2)}}\\\\[/tex]

Cross multiplication:

[tex]\to F (F1 + F2) = F1 F2\\\\\to F F1 + F F2 = F1 F2\\\\\to F F1 = F1 F2 - F F2 \\\\\to F F1 = F2 (F1 - F) \\\\\to F2 = \frac{F F1}{(F1-F)}[/tex]

1. which group weighed the most per item on the scale? how much did it weigh?

which group weighed the least per item on the scale? how much did it weigh?

And also complete the table.

Please help it is due right now ASAP​

Answers

Answer:

cars weighed the most per item and desks the least

if f (x) = 2/3x² + 8x, what is the value of f(6)?

Answers

Answer:

72

Step-by-step explanation:

replace the variable of x with 6 in the equation.

72

to evaluate f(6) substitute x = 6 into f(x). f(6)=23×(6) 2+(8×6). ×x=23 1×36 12+48. ×x=24+48=72.

Suppose the average yearly salary of an individual whose final degree is a​ master's is ​$(blank) thousand less than twice that of an individual whose final degree is a​ bachelor's. Combined, two people with each of these educational attainments earn ​$(blank) thousand. Find the average yearly salary of an individual with each of these final degrees.

Answers

Complete question :

Suppose the average yearly salary of an individual whose final degree is a​ master's is ​$41 thousand less than twice that of an individual whose final degree is a​ bachelor's. Combined, two people with each of these educational attainments earn ​$118 thousand. Find the average yearly salary of an individual with each of these final degrees.

Answer:

Bachelors = $53000

Masters = $65000

Step-by-step explanation:

Given that :

Let Salary of bachelor's degree holder = b

Salary of Master's degree holder = 2b - 41000

Master's + bachelor's salary = $118,000

Hence,

2b - 41000 + b = 118,000

3b = 118000 + 41000

3b = 159000

b = 159000 / 3

b = $53,000

Bachelor's degree salary = $53,000

Master's degree salary ; 2b - 41000

2(53000) - 41000 = 65000

–8(n + 7) >-96??????????????

Answers

Answer:

D) n<5

Step-by-step explanation:

can you write an equivalent fraction for 9/11 and 6/7 using the least common denominator ?

Answers

Answer:

The least common denominator is 77 so the fractions would become 63/77 and 66/77.

answer 2 questions about equations A and B A. 5x=20 B. x=4 1.) how can we get equation B from equation A

Answers

Answer:

Multiply/divide both sides by the same non-zero constant

Step-by-step explanation:

5x = 20

Divide each side by 5

5x/5 = 20/5

x = 4

Canoe rentals cost $10 plus $4 per hour. A group of friends rent 3 canoes for 3 hours. what is their total cost.

Answers

Answer:

42

Step-by-step explanation:

Answer:

$42

Step-by-step explanation:

$10 * 3 canoes = $30

$4 * 3 hours = $12

30 + 12 = $42

List and describe the characteristics of a wave

Answers

Answer:

Crest = Highest point of the wave.

Trough = Lowest point of the wave.

Wavelength = Distance from one crest/trough to the next (m)

Wave Height = Height from trough to crest (m)

Wave steepness = ratio of wave height to wavelength.

Amplitude = distance from the centre of wave to the bottom of the trough (m)

Step-by-step explanation:

Twenty times y is at most 100 in interval notation

Answers

Answer:

[tex]y\in (-\infty ,5][/tex]

Step-by-step explanation:

In this problem, we need to write "Twenty times y is at most 100 in interval notation ".

20 times y means, 20y

Atmost means an inequality which is [tex]\le[/tex]

ATQ,

[tex]20\times y\le 100[/tex]

i.e.

[tex]20y\le 100\\\\y\le 5[/tex]

We can also write it as :

[tex]y\in (-\infty ,5][/tex]

Hence, the required interval notation is [tex]y\in (-\infty ,5][/tex].

The interval notation is [tex]\rm y \epsilon (\infty,6][/tex].

What is interval notation?

The Interval notation is a method to define a set of numbers between a lower limit and an upper limit by using end-point values.

"Twenty times y is at most 100 in interval notation ".

Here, 20 times y means, 20y at most means an inequality.

Therefore,

The inequality is;

[tex]\rm 20 \times y\leq 100\\\\20y\leq 100\\\\y \leq \dfrac{100}{20}\\\\y\leq 5[/tex]

Hence, the required interval notation is [tex]\rm y \epsilon (\infty,6][/tex].

To know more about Interval notation click the link given below.

https://brainly.com/question/13048073

What is the solution to the equation? √x - 3 + 1 = 6
A. 64
B. 46
C. 28
D. 22

Answers

The solution of the given equation √x - 3 + 1 = 6 will be x = 64 so option (A) will be correct.

What is the equation?

An equation can be defined in numerous ways. Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions.

For example 8x + 7y = 15.

Given the equation,

√x - 3 + 1 = 6

√x + (-3 + 1) = 6

√x - 2 = 6

√x = 6 + 2 = 8

By squaring

x = 8² = 64.

Hence "The solution of the given equation √x - 3 + 1 = 6 will be x = 64".

For more about the equation,

brainly.com/question/10413253

#SPJ1

Answer:the correct answer is C.28

Step-by-step explanation:

Quadrilateral EFGH is a scaled copy of quadrilateral ABCD. Select the true statement.

Answers

Answer:

segment EF is twice as long as segment AB

Step-by-step explanation:

Quadrilateral EFGH and quadrilateral ABCD are similar polygons. We can say that two polygons are similar if their corresponding angles are equal to each other and their corresponding sides are proportional to each other.

From the image attached, we can see that side CD and side GH are corresponding sides. The ratio of their sides are to be proportional.

GH / CD =  12 / 6 = 2

Therefore Quadrilateral EFGH is twice the size of Quadrilateral ABCD. Since side EF and side AB are proportional, therefore segment EF is twice as long as segment AB

Sandra sets the cruise control in her car to 67 miles per hour when she goes on road trips. Which equation can be used to find how many hours, h, it will take her to drive m miles at her constant speed?

Answers

Answer:

A. [tex]\frac{m}{65} = h[/tex]  

I hope this helps!

Sub to SZ Lexrn if that does not show search up shiyo on vr and first vid is them please help out , thx bye . If you do it cmt and ill make a post for yall for 100 points, please bro..

Answers

Answer:

Ooooook?

Step-by-step explanation:

Fine

The Complex Conjugate of 2 + 5i is equal to: _______+_________i

Answers

Answer:

2 - 5i

Step-by-step explanation:

For any complex number like say "z" written in rectangular form as;

z = a + ib, then from definitions the complex conjugate is given by the relation:

z* = a − ib

Now, from our question, we want to find the complex conjugate of 2 + 5i.

From the relationship above, it's clear that the complex conjugate here is;

2 - 5i

Please help and i will brainliestttt

Answers

Answer:

7/3 cm per hour

Step-by-step explanation:

Answer:  7/3  or in decimal form 2.3   the three is repeating or in mixed number 2 1/3

Step-by-step explanation:

7 divided by 3= 3/3 or in decimal form 2.3 the three is repeating or in mixed number 2 1/3

7 is for how much snow fell and the 3 is from how much time

Other Questions
Find the distance between the points.(0,6) and (0,2) Federations of American Indians were groups offamilies.villages.bands.tribes. In 2005, the UT Longhorns scored 15 times to win the Big 12 Championship Game 70-3. All of their points came from touchdowns (6 points each) and extra point kicks (1 point each). How many touchdowns and extra points did the Longhorns have in that game? (For the purposes of this problem, touchdowns and extra point kicks count as separate "scores". How did John Locke define social contract? Someone, please help me with this 1. Distance traveled during the first minute (A-B) *40 m100 m140 m180 m2. Displacement after the first minute (A-B) *180 m west180 m east100 m west100 m east3. Distance traveled during the first 2 minutes (A-B-C) 40 m140 m320 m420 m4. Displacement after the first 2 minutes of travel (A-B-C) *40 m east40 m west140 m east140 m west5. Distance traveled during the total time of 3 minutes (A-B-C-D) *140 m240 m360 m420 m6. Displacement after the total 3 minutes of travel (A-B-C-D) *40 m east40 m west140 m east140 m west A wave hits a wall as shown. A brick wall with a green arrow pointing to the wall from below and right at a shallow angle. Another green arrow starts where the first arrow touched the wall and goes up and left at the same shallow angle. As the wave interacts with a wall, which kind of wave interaction is shown? What is a comma-splice? what chemical diverged from treesa resin and turpentineb sodiumc leadd marcotting Papaano magiging makabuluhan para sa mga pilipino na pag aralan ang mga panitikan ng mindanao bilang bahagi ng panitikang pilipino? which is the graph of the exponential function y=8(5)^x? In a society with a market economy, property rights are generally enforced by A. the banks B. the courts C. the producers D. the consumers Which condition produces an anion?A. more neutrons than electronsB. more protons than electronsC. more electrons than neutronsD. more electrons than protons Why did George Washington resign from the British army New England states abolished slavery via the practice of gradual emancipation following the American Revolution. True or false write a word problem that could be solved using the expression 2x+60 In the beginning, the Texans were able to fight off two surges by the Mexican attackers at the Alamo True or false Write as the sum and/or difference of logarithms. Express powers as factors \log _4\left(\sqrt{\frac{mn}{19}}\right). g A nurse reported a patient's height as 62". Why might this beconfusing in the U.S.?A. It's not confusing because the nurse expressed themeasurement in the most common unit expected inthe U.S.B. Height is typically spelled out, not measured as anumerical value.C. This measurement is not expressed in the mostcommon unit expected in the U.S.D. The nurse should have used the unit pounds tomeasure the patient's height. in health class the students were asked what grains they preferredin the breakfeast cereal. What is the probibility that a random chosen student in the health class is listed out as their favorite grain? Answers:A: 20%B: 35%C: 14%D: 30% Needed asap please,Brittney can spend no more than $15 for new fish in her aquarium. a. Let f be the number of fish she can buy. what inequality represents the problem?b. How many fish can brittney buy?