A passenger train and a freight train leave San Jose at 3 p.m., traveling in the same direction. The passenger train is going three times as fast as the freight train. At 6 p.m. they are 240 miles apart. How fast is each travelling?

Answers

Answer 1

There is a 3 hour difference in travel time.
So if x is the speed of the freight train and distance is 240 miles...
3(3x)-3x=240
9x-3x=240
6x=240
x=240/6
x= 40mph for the freight train..
passenger train is 3 times faster than the freight..
3×40=120mph

Answer 2

There is a 3 hour difference in travel time.

So if x is the speed of the freight train and distance is 240 miles...

3(3x)-3x=240

9x-3x=240

6x=240

x=240/6

x= 40mph for the freight train..

passenger train is 3 times faster than the freight..

3×40=120mph

Related Questions

What is the area, in square feet, of the shaded region?
What is the area, in square feet, of the nonshaded region?

Answers

Draw a line going from the intersection of the 2 foot line going up and the 2 foot line going across. Draw this line so it is parallel to the 16 foot line at the bottom.

The orange figure is now cut into 2 pieces. The bottom piece is a rectangle and the top piece is a trapezoid.

Trapezoid
========
The area of a trapezoid = (a + b)*h/2; a and b are the parallel lines. h = 2 + 8 = 10 feet
a = 1
b = 8 - 2 -2 = 4 feet. You are going to have to draw the diagram carefully to get this answer.
a is on the right side of the trapezoid. b is on the left side.
h = 8 + 2 = 10 feet

Area = (1 +4)*10/2 =25 square feet.

Rectangle
=======
L= 8 feet
w = 2 feet
A = L * w
Area= 2 *8 = 16 square feet.

Total Area Orange
==============
Area = 16 + 25 = 41 square feet

Area of the Black Area
=================
Area = L*W - 41 Square feet
Area =16 *8 - 41 = 87 square feet

A meteor crater is 3900 feet in diameter. Approximate the distance around the crater. Use 3.14 for π.

Answers

You’re looking for the *circumference* of the crater. The definition of π is the ratio of the circumference of the circle to its diameter, or mathematically:

π = c/d

Which means that c = dπ. Our diameter is 3900 ft, which mean that our circumference is 3900π ft, or, using 3.14 as π, 3900(3.14) = 12,246 ft.

A trapezoid has an area of 24 square meters. The length of the bases of the trapezoid are 5 meters and 7 meters. What is the height of the trapezoid?

Answers

As with any formula, fill in the values you know and solve for the one you don't know.

A = (b1 +b2)/2*h
24 m^2 = (5 m +7 m)/2 * h
24 m^2 = (6 m) * h
(24 m^2)/(6 m) = h
4 m = h

The height of the trapezoid is 4 meters.

Quadrilateral ACEG≅Quadrilateral NMRP Which statement is true?
A:
EG≅MN
B:AC≅MR
C: AG≅NP
D:CE≅NP
pls help

Answers

Final answer:

The true statement given that quadrilateral ACEG is congruent to quadrilateral NMRP is D: CE≡NP, which matches the corresponding sides based on the order of the vertices in the name of each quadrilateral following CPCTC.

Explanation:

If quadrilateral ACEG is congruent to quadrilateral NMRP, then corresponding parts of congruent polygons are congruent as well. This principle is often abbreviated as CPCTC (Corresponding Parts of Congruent Triangles are Congruent). Applying this rule, we need to match each vertex of quadrilateral ACEG to the corresponding vertex of quadrilateral NMRP.

To determine which statement is true, we need to compare the corresponding parts:

EG≡MN: This would be true if G corresponded to N and E to M, which would make EG and MN opposite sides.AC≡MR: This would imply that A corresponds to M and C to R, which are not opposite each other based on the naming of the quadrilaterals. This is not correct.AG≡NP: For this to be true, A would have to correspond to N and G to P. But again, A and G are not opposite vertices so this can't be true.CE≡NP: If C corresponds to N and E corresponds to P, then CE and NP would be equivalent and therefore congruent. Since there are four sides, the connecting letter should signify that C corresponds to N, and E to P, making this the correct correspondence.

Hence, the correct statement based on the information given and the application of CPCTC is D: CE≡NP.

Justin drove at a steady speed of 60 miles/hour. Write an equation to represent the relationship between the total distance Justin drove, 'd', in a certain amount of time, 't'. Which value is the dependent variable? Which is the dependent variable? Which is the independent variable? Explain.

Answers

60t=d

The dependent variable is t because it has a coefficient (number next to it)
The independent variable is d because it does not have a coefficient and it is the product/answer.

Answer:

60d+t=

Step-by-step explanation:

what the answer

how much should Lauren, earning 7.80 an hour, make working a 44-hour week?

Answers

Answer:

343.2

Step-by-step explanation:

7.8*44=343.2

which translation maps the graph of the function f(x)=x^2 onto the function g(x)=x^2-6x+6

Answers

write x²-6x+6 into vertex form by completing a perfect square:
x²-6x+9+6-9=(x-3)²-3
compared with f(x)=x², g(x)=(x-3)²-3 is shifted three units to the right and three units down.

Answer:

Translation from (0,0) to (3,-3), 3 units down, and 3 units to the right.

Step-by-step explanation:

The Geometric Transformation called Translation of this parabola f(x)=x² is obtained, firstly by shifting it down 3 units simply adding -3 units as the independent term.

The Translation of the Parabola is counted by its vertex. y=x² (0,0) to y=x²-6x+6 (3,-3).

Algebraically:

So, f(x)=x² -3

Looking at g(x)=x²-6x+6, we still need to make it down after the curve intercept y-axis. b<0

Then, let's shift it three units to the right so its vertex hit the point 6, as y-coordinate, we have to add -3. If we want to add to the right sum negative value, then square it:

y= (x-3)²-3

y=x²-6x+9-3

y=x²-6x+6

A navigator plots the course a plane is currently traveling. The plane is 300 miles from its destination. If it continues on its current course it will travel 325 miles and end up 125 miles due south of its destination. To the nearest degree, how many degrees is the plane off course?

Answers

We have to use the rule of cosx° to solve this problem. Attached is a diagram of the navigator's course for the plane. It is similar to the shape of a triangle. We know the plane is 300 miles from its destination, so that will be one of the sides. On the current course, it is 325 miles from its destination, so that will be another one of the sides. The last side is 125 because that is the distance between the destination and the anticipated arrival. Cosx° is what we are looking for.

To find how many degrees off course the plane is, we must use the rules of Cosx°, which is shown in the attached image.

The plane is approximately 23° off course.

Final answer:

The plane in question is approximately 23 degrees off course. This calculation is derived from the tangent function in trigonometry based on the distances given.

Explanation:

From the question, we understand that the plane is creating a right triangle due to its off-course direction. Using the Pythagorean theorem, the length of the hypotenuse, or the distance that the plane will travel, is 325 miles. The difference between the direct route (300 miles) and the off-course southern distance (125 miles) forms the two other sides of the triangle.

However, we're looking for the angle, not the sides. This is where trigonometry comes in. Specifically, the tangent function will be valuable here as it involves the opposite and adjacent sides of a right triangle (the off-course southern distance and the direct route distance). If we let the 'off-course' angle be θ, then we have:

Tan(θ) = (distance south / direct distance) = (125 miles / 300 miles)

In order to find the angle θ from this equation, we'll need to use the inverse tangent function.

θ = atan(125/300) = 22.61986495 degrees.

Therefore, to the nearest degree, the plane is approximately 23 degrees off course.

Learn more about Trigonometry here:

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Write a trinomial of degree 35

Answers

we know that
Trinomial of degree 35 means a polynomial
that
a) Having three terms
b) highest degree is 35

examples
x^35+x³+3
x^35+2x-8
x^35+x²+2
etc

Explain one relationship between capacity and fluid ounces

Answers

1 US gallon = 128 fluid ounces

Each side of the square below is 20 centimeters. The area of the circle inside the square is about 314 square centimeters.

a.43/200
b.43/157
c.157/200
d.200/157

Answers

Maybe divide each number until you get 20?

Answer:

It would be 157/200

Step-by-step explanation:

The gent in the comments

I need help simplifying this: √289

Answers

the answer is 17 hoped this helped

1/ 4 of a pizza is split equally between 3 sisters. How much of a whole pizza will each sister get?

Answers

i think it is 1/12 of the pizza

you divide 1/4 by 3 which is 1/12

When you take the square root of a positive integer, how many possible answers are there? When you take the cube root of a positive or negative integer, how many possible answers are there?

Answers

When you take the square root of a plus number, you get 2. It is often written as +/- something.
For example sqrt 64 = +8 and - 8

(8)*(8) = 64
(-8)(-8) = 64 Remember when 2 minus' are multiplied together, you get a plus.

Oddly, when you take the cube root of something, you get only 1 answer. When you take an advanced math course, you will find out that it is three. But until you know what a complex number is, the answer is 1.

Describe a way you can use graham crackers to demonstrate the division problem 3 divided by 1/4 . Include the result in your description.

Answers

You can take 3 graham crackers. Break each into 4 pieces. Then, you will have 12 pieces. So 3 divided by 1/4 = 12. Hope it helps! :)

What is the circumference of a circle with a radius of 6.1 centimeters?

Enter your answer as a decimal in the box. Use 3.14 for pi. Round your answer to the nearest tenth.
cm
please help

Answers

The answer is 38.308.
Circumference is diameter times pi.
Times 6.1 times 2 to get 12.2
12.2 times 3.14 is 38.308
Hope this helps☺

You need to use the formula radius*2 x pi. Radius*2 = 12.2, pi = 3.14, so the answer would be 38.308

How many different triangles can be constructed with side measurements 6 centimeters, 9, centimeters, and 13 centimeters?

1.exactly one triangle

2.more than one triangle

3.no triangles
If you could answer as fast as you can that would be great please

Answers

Umm I'm not that good at this but my guess is One triangle let me know if that was right

which equation represents the pattern in the table below?

[tex]s = c + 4[/tex]
[tex]s = 4c[/tex]
[tex]c = s + 4[/tex]
[tex]c = 4s[/tex]

Answers

The answer is C=S+4 Because both S and C have the same rate of change you only need to find the difference of the two values.

Answer:

[tex]c=s+4[/tex]

Step-by-step explanation:

We are given that a pattern in the table

We have to find which equation represents the pattern in the table.

Sail=3

Carrie's age=7

Let s be the sale's and c be the carrie's age

Sail=3

Carrie's age=7

Carrie's age=3+4

Sail=5

Carrie's age=9

Carrie's age=5+4

Sail=8

Carrie's age=12=8+4

Sail=13

Carrie's age=13+4

Sail=15

Carrie's age=19=15+4

Hence, [tex]C=S+4[/tex] is an equation which represents the pattern in the table.

Answer:[tex]c=s+4[/tex]

if f(x)= 2x^2+5sqrt(x-2), complete the following statement: The domain for f(x) is all real numbers _____ than or equal to 2. (fill in the blank)

Answers

Answer:

Greater.

Step-by-step explanation:

The in the function [tex]f(x)=2x^2+5\sqrt{x-2}[/tex], the square root term [tex]\sqrt{x-2}[/tex] has to give a real number if [tex]f(x)[/tex] is to be real. This can only happen if [tex]x\geq 2[/tex] because if [tex]x<2[/tex] then [tex]\sqrt{x-2}[/tex] will give a complex number and therefore [tex]f(x)[/tex] will not be real.

Thus, the domain for f(x) is all real numbers greater than or equal to 2.

The domain for f(x) is all real numbers greater than or equal to 2.

This is because the square root function is undefined when its argument is less than or equal to 0. So, the expression 5sqrt(x-2) is defined only when x-2 is greater than or equal to 0. This means that x must be greater than or equal to 2.

The domain of f(x) is all real numbers x such that x ≥ 2.

Here is a table that shows the values of f(x) for different values of x:

x | f(x)

2 | 20

3 | 29

4 | 42

5 | 57

6 | 74

As you can see, the values of f(x) are defined for all real numbers x such that x ≥ 2.

To learn more about domain here:

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Victor Hernandez has a credit card that bases its finance charge on the average-daily-balance method-new purchases included. His monthly periodic rate is 2.9% and his finance charge for the most recent billing cycle was $37. Find his average daily balance.

Answers

We can find the average daily balance of Victor's credit card by using a proportion. Proportions may be used to find missing values in times when we have percentages. The proportion compares two fractions and both sides equal the same amount (that's how we'll know we got the correct answer). The proportion will be written as such: [tex] \frac{is}{of} [/tex] = [tex] \frac{percent}{100} [/tex] . To fill in the blanks, we know our "is" is 37. That is the part of the whole that we are looking for, the "of". Our percent is 2.9, and that goes over 100. To solve. we cross multiply 100 x 37, which gives us 3700. Last, we divide by 2.9. After dividing our final answer is 1,275.86. This means that Victor's average daily balance is is $1,275.86.

Pink, purple, red. If these colors would go in order, each used twice, what are all the possible combinations that can be made??

Answers

It could be magenta or orange

6 Combinations. Hope that helps!

Mr. Malloy wants to make sure Amo and Javier get the best possible grade after five tests and can either give a grade based on the median or the mean.

Test
Number
Amo’s Scores
Javier’s Scores
1
97
68
2
92
97
3
89
65
4
55
92
5
90
65

What measure of center should Mr. Malloy use for Amo and for Javier for the best possible grade?

The teacher should use the mean for both Amo and Javier.
The teacher should use the median for both Amo and Javier.
The teacher should use the median for Amo and the mean for Javier.
The teacher should use the mean for Amo and the median for Javier.

Answers

Answer:

C: The teacher should use the median for Amo and the mean for Javier 2022

Step-by-step explanation:

I took the test and please mark brainly

AND PLEASE SCROLL DOWN WHENEVER YOUR LOOKING FOR ANSWERS BECAUSE THERE'S A REASON IT SOMETIMES SAYS 2 ANSWERS and if you see this please copy and paste this because some people are to lazy to scroll down and do work

Final answer:

For Amo, the median (89) is higher than the mean (84.6), and for Javier, the mean (77.4) is higher than the median (68). Thus, Mr. Malloy should use the median for Amo and the mean for Javier for the best possible grades.

Explanation:

To determine the best possible grade for both Amo and Javier, we first need to calculate their mean and median scores. The mean is calculated by adding all the test scores together and dividing by the number of tests. The median is the middle score when all scores are listed in ascending order. If there is an even number of scores, the median is the average of the two middle scores.

Amo's Scores: 97, 92, 89, 55, 90
Javier's Scores: 68, 97, 65, 92, 65

For Amo, we calculate the mean as follows:
(97 + 92 + 89 + 55 + 90) / 5 = 84.6

The median for Amo would be the third score since there are five tests, which is 89.

For Javier, we calculate the mean as follows:
(68 + 97 + 65 + 92 + 65) / 5 = 77.4

The median for Javier would also be the third score, which is 68.

Now, comparing Amo's mean and median, we see that the median (89) of Amo's test scores is higher than the mean (84.6). Therefore, for Amo, Mr. Malloy should use the median.

Looking at Javier's mean and median, we see that the mean (77.4) of Javier's test scores is higher than the median (68). So, for Javier, Mr. Malloy should use the mean.

The teacher should use the median for Amo and the mean for Javier for the best possible grade.

How to do this cause I am confused

Answers

The answer is: " 268.666 in² " .
______________________________________________________
Explanation:
_____________________________________________________
Formula for area of circle (shape of pizza):
______________________________________________________

A = [tex] \pi [/tex] * r² ;

in which: "A = area of the pizza (area of a circle)" ; for which we are to solve.

"[tex] \pi [/tex]" = 3.14 (approximation we shall use) ;

r = radius = "d/2" ; d = diameter = 18.5 in (given) ;

r = d/2 = (18.5 in. / 2) = 9.25 in.
_______________________________________________
Plug our known values into the formula to solve for "A" (area):

A = [tex] \pi [/tex] * r² ;

= (3.14) * (9.25 in)² ;

= (3.14) * (9.25)² * (in²) ;

= (3.14) * (85.5625) * (in²) ;

= 268.66625 in² ;
_________________________________________
Round to: " 268.666 in² " .
_________________________________________

HELP EXPERTS AND GENIUSES PLS HELP

What is the best approximation for the circumference of a circle with a radius of 45 cm?

Use 3.14 to approximate pi.

1:70.65 cm
2:141.3 cm
3:282.6 cm
4:6358.5 cm

Answers

45 * 2 = 90
90 x 3.14 = 282.6 cm

answer is: 3:282.6 cm

Answer:

282.6

Step-by-step explanation:

PLZ HELP FAST!!!!!!!
The triangles are similar. The area of the larger triangle is 729 cm².

What is the area of the smaller triangle?
10.5 cm²
31.5 cm²
67 cm²
81 cm²

Answers

Corresponding sides have a ratio of 18/54 = 1/3. Thus the area will have a ratio of (1/3)^2 = 1/9.

The smaller triangle has an area of
.. (1/9)*729 cm^2 = 81 cm^2 . . . . . . . . . . . . . . corresponds to the 4th selection

What is the median value of the data set shown on the line plot?

Answers

If there is an odd number of observations, the median is the middle one, if we order the observations in increasing order. If the number is even, then we take the mean of the two middle ones. Here, we see that we have in total 22 observations, so we take the mean of the 11th and 12th observation. We have that 9 observations are below 6. Then, the 10th until the 13th observation is 6. Hence, we have that the median is [tex] \frac{6+6}{2} =6[/tex].

The answer is 6. I'm just adding this to help anyone else struggling with this quiz.

Michaela caught 3 fish, which weigh a total 19 1/2 pounds. One fish weighs 7 5/8 pounds and another weighs 5 3/4 pounds. How much does the third fish weigh?

Answers

Find a common denominator for 2,4,8. Which is 8. Change the fractions to new ones.

1) 19 4/8= 156/8 Then add the second. 2) 7 5/8= 61/8 one and the third
3) 5 6/8= 46/8 one. Which is

15/8. Then, subtract your answer and the first one. You get 141. Simplify. 17 5/8

6 and 1/8. Tell me if you would like to see my equation.

Select the statement that correctly describes the solution to this system of equations.

–3x + 2y = –22
–5y = –4x + 27
A
There is no solution.
B
There are infinitely many solutions.
C
There is exactly one solution at (8, 1).
D
There is exactly one solution at (1, 8)

Answers

Selection C is appropriate.

Please solve this problem (surface area). With work bc my teacher said I need to show work with my answer

Answers

There are two triangular faces and three rectangular faces.
The triangular faces are congruent, so they have the same area. We calculate one and we'll know both.
The three rectangles are different.

Triangular face (each)
Although you can hardly see in the colored figure, there is a small symbol on the right side showing that the 4 km side and the 3 km side of the triangles are perpendicular. That means those sides are the base and the height.
A = (1/2)bh = (1/2)(3 km)(4 km) = 6 km^2

Rectangular faces:
A = LW = 7 km * 3 km = 21 km^2
A = LW = 7 km * 5 km = 35 km^2
A = LW = 7 km * 4 km = 28 km^2

total surface area = 2 * 6 km^2 + 21 km^2 + 35 km^2 + 28 km^2

total surface area = 96 km^2

Which orderer pair can be removed so that the resulting graph represents a function? (-2,2) (1,3) (5,-4) or (-4,-4)

Answers

you don't have to remove any because all x values are the not same.

It will be B. (1,3)

Hope this helps!

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