A passenger train left new york and traveled north while a freight left from the same place, and the same time and traveled south. After traveling for 6 hours the traines were 720 miles apart. if the passenger train was traveling at 80mph, how fast was the freiht train traveling.

Answers

Answer 1

The freight train was traveling at 40 mph.

Let's use the formula for distance:

distance = rate x time

We know that the two trains are moving away from each other, so we can add their distances to get the total distance between them:

distance = distance traveled by passenger train + distance traveled by freight train

Since they started at the same time, the time traveled by both trains is the same, so we can write:

distance = 80 mph x time + rate of freight train x time

Using the given information, we can write:

720 = 80 x 6 + rate of freight train x 6

Simplifying:

720 = 480 + 6(rate of freight train)

240 = 6(rate of freight train)

rate of freight train = 40 mph

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Related Questions

If f(3) = 3^x and g(x) = 7^x then the graph of g(x) will be — the graph of f(x) when x<0.

Answers

Using the given exponential functions, it is found that the graph of g(x) will be less than than the graph of f(x) when x < 0.

What are the exponential functions?

The given exponential functions, f(x) and g(x), are respectively given by:

[tex]f(x) = 3^x[/tex][tex]g(x) = 7^x[/tex]

When x < 0, one possible value is x = -1, hence evaluating the functions at these values:

[tex]f(-1) = 3^{-1} = \frac{1}{3}[/tex]

[tex]g(-1) = 7^{-1} = \frac{1}{7}[/tex]

[tex]\frac{1}{3} > \frac{1}{7}[/tex], hence, the graph of g(x) will be less than than the graph of f(x) when x < 0.

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June’s portfolio includes 177 shares of parchar special effects, 213 shares of giaco household goods, and 152 shares of raxin accounting. if parchar special effects pays a yearly dividend of $8.21 per share, giaco household goods pays $6.97 per share, and raxin accounting pays $11.44 per share, how much does june earn in dividends per year? a. $4,449.82 b. $4,676.66 c. $3,777.74 d. $6,200.48

Answers

June's earning in dividends per year will be  $4676.66

What will be junes earning?

Earnings are the profit that a company produces in a specific period, usually defined as a quarter or a year. After the end of each quarter

It is given in the question that:

No. of shares of Parchar Special Effects = 177

If Parchar Special Effects pays a yearly dividend of $8.21 per share

So, It pays a yearly dividend for 177 shares

= [tex]177\times 8.21=1453.17[/tex]

                                                           

No. of shares of Giaco Household Goods = 213

Giaco Household Goods pays $6.97 per share

So, It pays a yearly dividend for 213 shares

= [tex]213\times6.97=1484.61[/tex]

No. of shares of of Raxin Accounting= 152

Raxin Accounting pays $11.44 per share

So, It pays a yearly dividend for 152shares

= [tex]152\times 1.44=1738.88[/tex]

So,June earn in dividends per year

=[tex]1453.17+1453.17+1738.88=4676.66[/tex]                

Hence June earn $4676.66 dividends per year

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Answer:

B

Step-by-step explanation:

$4,676.66

I need to find the answer to...
20% of $80 = ???

Answers

All u need to do is change the % into a decimal and multiply so .2 x $80=$16

Answer:

16

Step-by-step explanation:

0.20 x 80 = 16

We can double check this by dividing :)

16/80 = 0.20 = 20%

Have an amazing day!!

Please rate and mark brainliest!!

you are traveling for work. You fly out of las vegas at 4:45 Am. you arrive in miami 6 hours later. what time is it when you arrive ? explain how you got your answer.

Answers

Answer:

The time wil be 1:45

Step-by-step explanation:

4:45 + 6 hours is 10:45

But since Miami is 3 hours ahead (different time zone), you
will add 3 hours. So that makes it 1:45 when you land!

Hope this helps!!

Can someone help me please?

Answers

Answer:

[tex]\bold{ \sf \theta = \dfrac{\pi }{9} , \ \ \dfrac{2}{9} \pi , \ \dfrac{7 \pi }{9}, \ \ \dfrac{8\pi }{9}, \ \dfrac{13\pi }{9}, \ \dfrac{14\pi }{9}}[/tex]

Explanation:

[tex]\dashrightarrow \ \ \sf 2sin(3\theta) = \sqrt{3}[/tex]

[tex]\dashrightarrow \ \ \sf sin(3\theta) = \dfrac{ \sqrt{3}}{2}[/tex]

[tex]\dashrightarrow \ \ \sf 3\theta = sin^{-1}(\dfrac{ \sqrt{3}}{2})[/tex]

[ your calc should be in radian mode [R] ]

[tex]\dashrightarrow \ \ \sf 3\theta = \dfrac{\pi }{3} , \ \ \dfrac{2}{3} \pi , \ \ \dfrac{7 \pi }{3}, \ \ \dfrac{8\pi }{3}, \ \dfrac{13\pi }{3}, \ \dfrac{14\pi }{3}[/tex]

[tex]\dashrightarrow \ \ \sf \theta = \dfrac{\pi }{9} , \ \ \dfrac{2}{9} \pi , \ \ \dfrac{7 \pi }{9}, \ \ \dfrac{8\pi }{9}, \ \dfrac{13\pi }{9}, \ \dfrac{14\pi }{9}[/tex]

Imagine the center of the singapore flyer is located at (0, 0) on a coordinate grid, and the radius lies on the x-axis. Write an equation of a circle for your Ferris wheel, and sketch an image of what your Ferris wheel would look like on the grid. Now graph a circle that is similar to the Ferris Wheel. Discuss the transformations needed to show that both circles on your graph are similar

Answers

The equation of the Ferris wheel is x² + y² = 25, and the transformation that shows that the circles are similar is the dilation transformation

How to determine the equation of the Ferris wheel?

From the question, we have the following parameters:

Center (a,b) = (0,0)Radius, r = 5

The equation of a circle is represented as:

(x - a)² + (y - b)² = r²

So, we have:

(x - 0)² + (y - 0)² = 5²

Evaluate

x² + y² = 25

Hence, the equation of the Ferris wheel is x² + y² = 25

See attachment for the image of the Ferris wheel

Transformation to a similar circle

Assume that the similar circle has the following parameters:

Center (a,b) = (0,0)Radius, r = 10

The equation of the circle would be:

(x - 0)² + (y - 0)² = 10²

Evaluate

x² + y² = 100

Since both circles have the same center, the transformation that shows that they are similar is the dilation transformation

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Using the equation below, what is the
value of p when v = 7?
p = 6v + 21

Answers

Answer:

p = 63

Step-by-step explanation:

It is given that the variable v is equal to 7:

v = 7

Plug in 7 for v, and then solve the given equation:

p = 6v + 21

p = 6(7) + 21

Simplify. Remember to follow PEMDAS.
PEMDAS is the order of operation, and stands for:

Parenthesis, Exponents (& Roots), Multiplications, Divisions, Additions, Subtraction.

First, multiply 6 with 7:

p = (6 * 7) + 21

p = 42 + 21

Next, add:

p = 42 + 21

p = 63

63 is your answer for p.

~

Answer:

p = 63

Step-by-step explanation:

p = 6(v) = 21

add in 7 in place of v

p = 6(7) + 21

do 6(7)

p = 42 + 21

add those together

p = 63

Here you go! :)

how do you graph y=2x-3

Answers

Answer:

so on the graph you can

Step-by-step explanation:

first the y axis number comes first so you look at that the you do the x axis it should look like 2,3 or 2,-3 hope this works

Answer: 2x3=y. 2x3=6

Step-by-step explanation:

one: figure out what the question is asking you. Two: do 2x3 and then get the answer. Last: switch it around to find your answer.

Select three ratios that are equivalent to 7:6,

Answers

Answer: 12:14 21:18 42:36

yah..... help please bro

Answers

Answer:

I think D but I'm not too sure.

Change them all into decimals:

The square root of 2 = 1.41421356

3/2 = 1.5

15% = 0.15

Arrange them:

3/2, square root of 2, 1.3333..., 1.3, 15%

So, B is the correct answer.

2 +√9= whats the answer number system class 9

Answers

Answer:

5

Step-by-step explanation:

2 + root 9 can be written as 2 + 3 which is answer as 5

Answer:

•SEE ABOVE ATTACHMENT•

HOPE IT HELPS!

MARK AS BRAINLIAST.

Given the speeds of each runner below, determine who runs the fastest.
\text{Frank runs 9 feet per second.}
Frank runs 9 feet per second.
\text{Tony runs 299 feet in 34 seconds.}
Tony runs 299 feet in 34 seconds.
\text{Zach runs 1 mile in 396 seconds.}
Zach runs 1 mile in 396 seconds.
\text{Will runs 675 feet in 1 minute.}
Will runs 675 feet in 1 minute.

Answers

Frank 9feet per second
Tony 8.79feet per second
Zach 13.34feet per second
Will 11.25feet per second

Tony runs fastest

Zach  runs with 14.31 feet per second speed  and faster than other runners.

What is Speed?

Speed is measured as the ratio of distance to the time in which the distance was covered

Given that Frank runs 9 feet per second.

Speed=Distance /time

=9 feet/ 1 second

=9 feet per second.

Tony runs 299 feet in 34 seconds

Speed=299/34

=8.794 feet per second.

Zach runs 1 mile in 396 seconds.

We know that 1 mile =5280 feet

Speed=5280/369

=14.31 feet per second.

Will runs 675 feet in 1 minute

1 minute is 60 seconds

Speed=675/60

=11.25 feet per second.

Hence, Zach  runs with 14.31 feet per second speed  and faster than other runners.

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The first six steps of the derivation of the Quadratic Formula are listed below.
b
x
lo
=
a
a
+
1. ax2 + bx +c=0
2. Cx2 + x + =
3. x2 + x+8 = 0
b
4. x2 +
X=
a
b2
5. x2 + x +
4a2
6. (x + )2
4a2
a
+
a
b2
4a2
b2-4ac
2a

Answers

The ninth step in the derivation is to find the lowest common multiple (LCM) to give [tex]x = \frac{-b\; \pm \;\sqrt{b^2 - 4ac}}{2a}[/tex]

The derivation of quadratic formula.

In Mathematics, the standard form of a quadratic equation is given by;

ax² + bx + c = 0

Mathematically, the quadratic formula is given by this equation:

[tex]x = \frac{-b\; \pm \;\sqrt{b^2 - 4ac}}{2a}[/tex]

The sixth step in the derivation is:

[tex](x + \frac{b}{2a} )^2 = \frac{b^2 - 4ac}{2a}[/tex]

The seventh step in the derivation is:

We would take the square of both sides to have;

[tex]x + \frac{b}{2a} = \frac{\sqrt{b^2 - 4ac}}{2a}[/tex]

The eigth step in the derivation is:

We would substract b/2a from both sides to have;

[tex]x = -\frac{b}{2a} \pm \frac{\sqrt{b^2 - 4ac}}{2a}[/tex]

The ninth step in the derivation is:

We would find the lowest common multiple (LCM) to have;

[tex]x = \frac{-b\; \pm \;\sqrt{b^2 - 4ac}}{2a}[/tex]

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34. Find the surface area for the following rectangular prism ​

Answers

[tex] \huge\fbox\green{ANSWER} [/tex]

Surface Area = 2×(8.25×1.5 + 8.25×3 + 1.5×3) = 83.25 centimeters^2

[tex] \mathsf \blue{83.25 {cm}^{2} }[/tex]

Do number 2 please. Please bots don’t answer! I just trying to get help :(

Answers

Answer:

no 2. cube a' will be smaller because it was multiplied by a fraction

no 3. c

HOW DO U DO THIS I LITERALLY TRIED EVERYTHING pls explain

Answers

Answer:

you just convert them into simple fractions the first one become -1159/9 and second one -790/3.

the difference in thier height is 1211/9.

PLEASE HELP ASAP 20 POINTS!!!

Answers

Answer:

D, I think…

Step-by-step explanation:

I used PEMDAS to go through and simplify and see which values match.


A French professor gives Sections 1 and 2 of a French course the same passage to translate. Section 1 has 28 students, and 5
translate the passage correctly. Section 2 has 22 students, and 8 translate the passage correctly. (See Example 3.)
(a) If one of the papers is selected at random, what is the probability that it is a correct translation? (Round your answers
to three decimal places.)
(b) One of the papers is selected and is known to be from Section 1. What is the probability that it is a correct translation?
(Round your answers to three decimal places.)
(c) A paper is selected and is known to be a correct translation. What is the probability that it is from Section 2? (Round
your answers to three decimal places.)

Answers

Using it's concept, it is found that the probabilities are given by:

a) 0.26 = 26%.

b) 0.179 = 17.9%.

c) 0.615 = 61.5%.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

Item a:

8 + 5 = 13 correct translations out of 28 + 22 = 50 students, hence:

p = 13/50 = 0.26 = 26%.

Item b:

5 correct translations out of 28, hence:

p = 5/28 = 0.179 = 17.9%.

Item c:

There are 13 correct translations, and of those, 8 are from section 2, hence:

p = 8/13 = 0.615 = 61.5%.

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A baseball traveled 330 feet in 5 seconds. Which rate is equivalent to the rate at which the baseball traveled?

A.
55 feet per second


B.
66 feet per second


C.
55 seconds per foot


D.
66 seconds per foot

(just the answer pls)

Answers

Answer:

I think it's B.

Step-by-step explanation:

What is the area of the shape?

Answers

Answer:12 units^2

Step-by-step explanation:

2*2=4

2*2*1/2=2

2*6*1/2=6

4+2+6=12

12 units^2

Can someone help me understand this?? I ended up getting 594 and that’s not even an option!

Answers

Your mistake was that you only worked out the volume of the cuboid which is indeed 594.

Answer:

Option D

Step-by-step explanation:

I am taking a guess here, but since the volume of the rectangle part is 594, and it is sort of a similar size as the top part, then I assume it is D.

Let me know how it goes.

Please help me with question 2 with explanation u will get 50 points thanks !!

Answers

2. volume of the box would be height x length x width so 2 x 8 x 8 = 128

Which statements are true about fractions and ratios? Select all that apply. All ratios are fractions. Some ratios are not fractions. All fractions are ratios. All ratios compare wholes and parts.

Answers

The only correct statement is that ratios are not fractions.

Answer: the person above is wrong

Step-by-step explanation: Some ratios are not fractions.

and All fractions are ratios

Suppose a city with population 100,000 has been growing at a rate of 5% per year. If this rate​ continues, find the population of this city in 21 years.

Answers

Answer:

205,000

Step-by-step explanation:

(100,000*0.05) *21 +100,000

CAN SOMEONE HELP ME PLEASE ASAP!?

Answers

Answer:

D

Step-by-step explanation:

the answer Is obviously D

Answer :
1/200

Explanation:
1+999=200
-Therefore, there are 200 chances all together
-the ratio is 1:199 meaning there is 1 chance of winning a bicycle out of the total 200.

I hope this helped :)

The radius of a circle is 14 meters. What is the circle's area?
r=14 m
Use 3.14 for .

Answers

Answer:

The formula for the area of a circle:

[tex]A = \pi r^{2}[/tex]

You have said:

[tex]r = 14m[/tex]

So substitute the values of pi and r into the formula:

[tex]A = \pi r^{2} \\A = (3.14)(14m)^{2} \\A = (3.14)(196m^{2} )\\A = 615.44m^{2}[/tex]

Area of a circle = pi * r^2

So in this case: (3.14) * (14)^2 = 615.44

An adult human body contains 10 pints of blood.How much fluid ounces is equivalent to 10 pints? (Please answers!)

Answers

Answer:

160 fluid ounces

Step-by-step explanation:

There are 16 ounces in one pint, therefore multiply the number of pints by 16 to get your answer.

16 * 10 = 160

Hope this helped ! <3 Brainliest please :)

what two numbers multiply to get -8 and add to get 4?

Answers

Answer:

 -2-2√3, -2+2√3

Step-by-step explanation:

Let x and y be two numbers.

Let x represent one of the numbers. Then the other number is -4-x. We want the product to be -8:

 x(-4-x) = -8

 -4x -x^2 = -8 . . . . . eliminate parentheses

 x^2 +4x = 8 . . . . . . multiply by -1

 x^2 +4x +4 = 12 . . . add 4 to complete the square

 (x +2)^2 = 12

 x +2 = ±√12 = ±2√3

 x = -2±2√3

if a1 = 5 and an = an-1 +2 then find the value of a4

Answers

Answer:

Step-by-step explanation:

an = (an-1)2 + 5. a1 = 4. Then: a1 = 4. a2 = (4)2 + 5 = 16 + 5 = 21. a3 = (21)2 + 5 = 441 + 5 = 446. a4 = (446)2 + 5 = 198916

I need help, please and thank you

Answers

Answer:

See below ↓

Step-by-step explanation:

Problem

[tex]\frac{5x}{x+7} + \frac{7}{x}[/tex]

Work

[tex]\frac{5x(x)+7(x+7)}{x(x+7)}[/tex][tex]\frac{5x^{2} +7x+49}{x(x+7)}[/tex]The student's mistake was that instead of taking x(x + 7) as the LCM (Least Common Multiple), he took x + 7, which is not possible in this case

Solution

[tex]\frac{5x^{2} +7x+49}{x(x+7)}[/tex]
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