At 3:25 p.m., a passenger train and a freight train both left Kalamazoo,
Michigan. Right now, the passenger train is 61.5 miles west of Kalamazoo.
The freight train is now 49.5 miles east of Kalamazoo. The passenger train
averages 16 miles per hour faster than the freight train. What time is it
now?

Answers

Answer 1

Answer:

4:10 PM

Step-by-step explanation:

Answer 2

The time at which the passenger train is 61.5 miles west of Kalamazoo and the freight train is now 49.5 miles east of Kalamazoo  4:10 pm

Formula for speed

Speed is the ratio of distance travelled to time taken. It is given by:

Speed = distance / time

Let a represent the speed passenger train and b for the freight train.

The passenger train averages 16 miles per hour faster than the freight train, hence:

a = b + 16   (1)

Also:

a = 61.5/t

t = 61.5/a

b = 49.5/t

t = 49.5/b

61.5/a = 49.5/b

61.5b = 49.5a    (2)

From both equations:

a = 82 mph, b = 66 mph

t = 61.5/82 = 0.75 hour = 45 minutes

Time = 3:25 p.m + 45 minutes = 4:10 pm

The time at which the passenger train is 61.5 miles west of Kalamazoo and the freight train is now 49.5 miles east of Kalamazoo  4:10 pm

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Related Questions

which is the graph. or y=1/2x + 1? please hurryyyyyy!

Answers

Answer:

Graph 4

Step-by-step explanation:

It crosses at 1 (y-intercept) and has a slope of 1/2

Select the equivalent expression.

Answers

Answer:

D

Step-by-step explanation:

When exponents are multiplied by exponents, they add together and leave the base untouched.

Answer:

B

Step-by-step explanation:

(2^5/x^2)^4

(2^5×4)/(x^2×4)

2^20/x^8

Application of the rules of indices: product power law

What is the measure of angle DEA

Answers

Answer:

BAC and DAE are two acronyms for BAC and DAE, respectively. Since they are angles at a point, an arc measuring 204 degrees is 360 degrees. BAC is measured at 11 degrees. 5(11)° = 55° is the measure of DAE.

Step-by-step explanation:

Triangle BCD is isosceles and BC ≅ BD. Circle A is shown. Isosceles triangle C B D has points on the circle. The lengths of C B and B C are congruent. The measure of arc C D is 100 degrees. What is the measure of Arc B C? 100° 120° 130° 160°

Answers

Answer:

130

Step-by-step explanation:

since bc and bd equal the same thing, plug in every answer option until you get to 360.

(130 x 2) = 260

plus cd = 100.

260 + 100 = 360.

The arc length is twice the inscribed angle.

The sum of the three angles must be 180.

The measure of the arc length BC is 130°

What is a triangle?

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

Triangle BCD is isosceles and BC ≅ BD.

Isosceles triangle C B D has points on the circle.

The measure of arc CD is 100 degrees.

This means,

We know that the arc length is twice the inscribed angle.

2 x Angle B = CD

2 x Angle B = 100

Angle B = 100/2

Angle B = 50

Now,

In an isosceles triangle, the angle opposite to the equal sides must be equal.

The sum of the three angles must be 180.

x + x + 50 = 180

2x = 180 - 150

2x = 130

x = 65

Now,

We know that the arc length is twice the inscribed angle.

So,

The measure of the arc length BC.

= 2 x 65

= 130°

Thus,

The measure of the arc length BC is 130°

Learn more about triangles here:

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PLZ HELP ASAP I'LL GIVE BRAINLY sketch the solution set to the system of inequalities shown below

x≥2
y
is the point (5,10) a solution to the system? justify.

Answers

Answer:

hi! you can use desmos graphing calculator to help you graph these- just look it up and plug the equation in. its nice for future use as well.

Step-by-step explanation:

and no , (5,10) isn't a solution to the equation because it falls under x≥2 but not under y<x+3. Hope this helps !

One interior angle of a triangle is 60'. The other angle measures are x' and y'. Which of the following could be the values of x
and y? Select all that apply.
A x = 50, y = 90
B. * = 100, y = 20
C. x = 45, y = 45
D. X = 40, y = 80
E. x = 60, y = 60

Answers

Answer:

B. x = 100, y = 20

D. X = 40, y = 80

E. x = 60, y = 60

Step-by-step explanation:

The sum of interior angles of a triangle = 180°

From the above question, one of the angles = 60°

The value for the two other interior angles = 180° - 60° = 120°

Hence, the following options could be the values of x and y is given as x + y = 120

Therefore,

B. x = 100, y = 20

D. X = 40, y = 80

E. x = 60, y = 60

Ciara is making a new dance outfit. She needs 2 ⅓ yards of fabric for the shawl. She needs 1 ¾ years of fabric for the dress. If she has 3 yards of fabric, how much more does she need ?

Answers

Answer: 1 1/12 yards

Step-by-step explanation:

Since Ciara needs 2 ⅓ yards of fabric for the shawl and also needs 1 ¾ yards of fabric for the dress, the total yards needed will be:

= 2⅓ + 1¾

= 2 4/12 + 1 9/12

= 3 13/12

= 4 1/12 yards

Since she has 3 yards of fabric, the number of yards needed more will be:

= 4 1/12 - 3

= 1 1/12

Therefore, she needs 1 1/12 yards more.

Point A is located at (-5, 2) on a coordinate grid. Point A is translated 4 units to the right and 2 units down to create point A.
Which measurement is closest to the distance between point A and point A' in units?
A)
4.1 units
B)
4.3 units
o
4.5 units
D)
4.7 units
We

Answers

the correct solution is A thanks

What is the slope of the line represented by 5x - 12y = 24?

Answers

Answer: 5/12 or option J

Help me please! I need to get this done by today! I am doing ratios and rates! I will also make you the brainlest


Instructions: Write the solution of your answer, and how do you know and you can do it on paper too.


NO WEBSITES!

Answers

Step-by-step explanation:

Students Hours

52 8

X 6

So,

52×6=8×x

312=8x

312/8=x

39 Students Answer

Answer:

39 students

Step-by-step explanation:

52 students/8 hours times =6.5 students per hour

6.5 students per hour x 6 hours = 39 students

The two-way table displays data collected from a random group of middle school and high school students. Which statements are
correct? (frequencies rounded to nearest tenth)
es
A)
The relative frequency of "age 10-13" and "skip breakfast" is 25.9%.
B)
The row conditional relative frequencies of "age 10-13" and "eat breakfast"
is 74.1%.
The row conditional relative frequencies of "age 14-17" and "skip
breakfast" is 66.7%.
The column conditional relative frequencies of eat breakfast" and age 14
17" is 25.5%.
The column conditional relative frequencies of "skip breakfast" and "age
10-13" is 25.6%
D)
E)
Naobra finnertions to Stats and Pre

Answers

Answer:

B) The row conditional relative frequencies of "age 10-13" and "eat breakfast" is 74.1%

C) The row conditional relative frequencies of "age 14-17" and "skips breakfast is 66.7%

D) The column conditional relative frequencies of "eat breakfast" and "age 14-17" is 25.5%

Step-by-step explanation:

Someone help me with this please

Answers

Answer:

x = 114

Step-by-step explanation:

180 - 105 = 75

39 + 75 = x

x = 114

A movie rental store, Frank's Movies, offers customers two choices. Customers can pay a yearly membership of $45 and then rent each movie for $2, or they can choose not to pay the membership fee and rent each movie for $3.50. How many movies would you have to rent before membership becomes the cheaper option?

Answers

Answer:

13

Step-by-step explanation:

$45=3.50x

divide both sides by 3.50

13 movies (rounded to nearest whole number)

In the diagram below of triangle ABC, medians AD, BE and CF intersect at point G

If the length of AD is 48 cm, how many centimeters long would DG be?

Answers

Answer:

DG = 16 cm

Step-by-step explanation:

DG is one- third of AD , then

DG = [tex]\frac{1}{3}[/tex] × 48 = 16

The length of the segment DG will be equal to 16 cm.

What is geometry?

Geometry is one of the oldest branches of mathematics, along with arithmetic. It is concerned with spatial qualities such as figure distance, shape, size, and relative position. A geometer is a mathematician who works in the field of geometry.

Given In the diagram below of triangle ABC, medians AD, BE and CF intersect at point G  and the length of AD is 48 cm.

The length of the segment DG will be calculated as,

DG is one-third of AD, then

DG = ( 1 / 3 ) × 48

DG = 16

Therefore, the length of the segment DG will be equal to 16 cm.

To know more about geometry follow

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What is the value of x?

Answers

Answer:

63 degree

Step-by-step explanation:

The total corner of the TV is 90 degrees, so 90-27=63 degrees

Question 1
1. Find the volume of the cylinder to the nearest hundredth. Use the pi key for pi.
6 in
8 in

Answers

Answer:

diameter(d)=8 in.

radius(r)= d/2= 4 in.

height(h)= 3r = 3(4) = 12 in.

Volume=r ² h

          =(3.14)(4)²(12)

          =(3.14)(16)(12)

          =602.88 in.

   

      Therefore, the volume of the cylinder is 602.88 in.

Step-by-step explanation:

Someone please help! Its due today! D:

Answers

Answer:

B

Step-by-step explanation:

trust me it is i know because it is easy

Answer:

4.5

Step-by-step explanation:

9/2=4.5

18/4=4.5

if two points are the same rate of change then that is probably it.

Danielle created a scale drawing of her room. Sheused the scale where 1 inch represents 2 feet of theactual room. Her drawing is 8 ½ in. by 11 in. What arethe measurements of her actual room?

Answers

Here you go
17 ft by 22 ft

Please help with 1234, due tonight would mean everything! Will give brainly!!

Answers

Answer: For 1, the answer is B since there is no rational number for sqrt17.

For 2, the answer is C since it has to be less than 11 whose square is 121 and larger than 10 whose squre is 100.

For 3 the answer is B. Just plug the x value into the equation. => y=1/2(-1)-2 => y= -1/2-2 => -2 1/2.

For 4 the answer is A because the graph first goes up then stys their staticly for a while then plumets down. It fits the description of the first one.

Step-by-step explanation:

Have a nice day, I hope next time you can solve it yourself! :D

PLSS QUICK
Solve (x+2<5)∩(x-7>-6)

Answers

Answer:

the answer is {x| 1<x<3}

Answer:

# 3

Step-by-step explanation:

right side is x>1

left side is  x<3

What is the value of the expression below when y=7?


y2+5y+6

Answers

Answer:

90

Step-by-step explanation:

y^2 + 5y + 6 =

(7)^2 + 5(7) + 6 =

49 + 35 + 6 =

84 + 6 =

90

7^2 + 5(7) + 6

49 + 35 + 6

90

marking brainliest hurrrryryyyyyyy

Answers

Answer:

385.875 cm^3

Step-by-step explanation:

3.5/2 = 1.75

3.5^2 - 1.75^2 = 9.1875

3.5 * 9.1875/2 = 16.078

16.078 * 6 * 4 = 385.875

the sum of 7 times a number and 3 equals 8

Answers

Answer:

7x+3=8

Step-by-step explanation:

this is the answer

PLEASE HELPPPPPPPPPPPPPPPP AREA AND CIRCUMFERENCE OF A CIRCLE

Answers

Answer:

Area:  200.96 cm

Circumference:  50.24 cm

Explanation: I recently just learned this.  The area of a circle is Pi times radius squared which makes.  3.14 x 8^2 = 3.14 x 64 = 200.96.  SInce none of the original measurements are squared it will be    200.96 cm

The circumference of a circle is diameter times pi which makes  3.14 x (8 x 2) = 3.14 x 16 = 50.24.  Since none of the original measurements are squared it will be 50.24 cm

I hope this helps!  pls mark brainliest if it helps!

Answer:

A=200.96cm²

C=50.24cm

Step-by-step explanation:

A=πr²=π·8²=200.96

C=2πr=2·π·8=50.24

Six out of ten students prefer math class over science class. How many students do not prefer math if 200 students were asked?

Answers

Answer:

80

Step-by-step explanation:

i need help understanding a solution

Answers

Answer:

What they mean is if you substitute the value given for x into the equation given, is the math statement true.

Step-by-step explanation:

1) Is x = -3 a solution to 6x + 4 = -12?

6(-3) + 4 = -18 + 4 = - 14, so no, for number 1, x = -3 is not a solution to 6x + 4 = -12

Make sense?

LMK if you need me to run the rest of them with you.

Answer:

1. No equals -14

2. No equals 14

3. No equals -25

4. Yes

5. Yes

6. No equals 1

7. No equals -29

8. Yes

9. Yes

What is the best approximation for the area of a circle with a diameter of 19 meters?

Use 3.14 to approximate pi.

Plz help

Answers

area=3.14(r)^2
radius is half of diameter
3.14(9.5)^2=283.385
rounded is 283.39

Answer:

area = 283.39 m²

Step-by-step explanation:

r = 19/2 = 9.5

area = πr² = (3.14)(9.5²) = 283.39 m²

2x^2 + 3x - 47 = 0

Resolve essa conta ai pra mim faz favor :)

Answers

Answer:

x  =4.155,  x=− 5.655

x= -  [tex]\frac{3-\sqrt{385} }{4}[/tex],   -  [tex]\frac{3+\sqrt{385} }{4}[/tex]

Step-by-step explanation:

2[tex]x^{2}[/tex] + 3x - 47 = 0

x= -  [tex]\frac{3-\sqrt{385} }{4}[/tex],   -  [tex]\frac{3+\sqrt{385} }{4}[/tex]

      OR

x  =4.155,  x=− 5.655

Answer:

[tex]x { }^{2} + y {}^{2} = 25[/tex]

answer this question

Sally ran 2 miles in 15 minutes Clara ran 3 km in 15 minutes.Who ran the farthest? Explain

Answers

Answer:

Hello, :3 This ish your Answer^^ Sally Ran Faster

Step-by-step explanation

Convert Mi to Km 1 mi = 1.6 km

Multiply  2 By 1.6     2 x 1.6 = 3.2 km

Clara Runs 0.2 km Per Minute And Sally Runs 0.21 km Per Minute

Which Comes to the Conclusion That Sally ran faster

I NEED THIS QUICK OR ILL FAIL MY MATH PLS

Answers

Answer:

Equation:900/10=90

Each bag has 90 beads

90/10=9 9beads per chain

Step-by-step explanation:

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