A train leaves Miami at 4:00 PM. A second train leaves the same city in the same direction at 8:00 PM. The second train travels 124mph faster than the first. If the second train overtakes the first at 10:00 PM, what is the speed of each of the two trains?

Answers

Answer 1

Answer:

Step-by-step explanation:

The late but fast train traveled for 2 hours while the slow but early train traveled for 6 hours.

              SPEED       TIME     DISTANCE

SLOW EARLY       r           6          d

FAST LATE      r+124         2          d

Catchup means each train traveled equal distance

Answer 2
Distance = speed x time
If we call the slower speed S we can make this equation...
6 x S = 2 x F = 2 x (S + 124)
6S = 2S + 248
4S = 248
S = 62
So the slow train is travelling at 62mph and the fast train at 186mph

Related Questions

What are the ordered pairs of the solutions for this system of equations?

Answers

Answer:

( 4, 11 ) , ( - 4, 27 )

Step-by-step explanation:

f(x) = x² - 2x + 3

f(x) = - 2x + 19

x² - 2x + 3 = - 2x + 19

x² - 16 = 0

( x + 4 )( x - 4 ) = 0

[tex]x_{1}[/tex] = - 4

[tex]x_{2}[/tex] = 4

f(x) = [tex]y_{1}[/tex] = - 2( - 4 ) + 19 = 27

[tex]y_{1}[/tex] = 27

f(x) = [tex]y_{2}[/tex] = - 2( 4 ) + 19 = 11

[tex]y_{2}[/tex] = 11

( 4, 11 ) , ( - 4, 27 )

Shawn bought 3 items at the grocery store that cost $3.35, $6.85, and $2.90. After paying the cashier, Shawn received $2.15 in change.

How much did Shawn give the cashier to pay for his purchase?

Answers

Answer:  Shawn payed the cashier $15.25

Step-by-step explanation:

What is the interquartile range of the following data set?
2,7,15, 19, 26, 33, 39, 41, 49, 52
A. 26
B. 30
C. 32
D. 22

Answers

Answer:

26

Step-by-step explanation:

please help ASAPPPP

Answers

Step-by-step explanation:

root 60 is equivalent to 60 to the exponent 1 over 2

If θ is an angle in standard position and its terminal side passes through the point (-4,-5), find the exact value of
cot

θ
cotθ in simplest radical form.

Answers

9514 1404 393

Answer:

  cot(θ) = 4/5

Step-by-step explanation:

In the polar/rectangular coordinate representation (x, y) ⇔ (r; θ), we know that ...

  (x, y) = (r·cos(θ), r·sin(θ))

From the various trig definitions and identities, we also know that ...

  cot(θ) = cos(θ)/sin(θ) = (x/r)/(y/r) = x/y

For the given (x, y) = (-4, -5), the cotangent is ...

  cot(θ) = -4/-5 = 4/5

у
= 5
16. Describe the following variation:
O A. y varies directly as X.
O B. y varies directly as the square of x.
O C. y varies inversely as the square of x.
O D. y varies inversely as x.

Answers

Answer:

I think it might be D

Step-by-step explanation:

For the function F(x)=|6x+4|−2, evaluate F(8).

Answers

Answer:

Answer should be 50.....

what is the value of x​

Answers

Answer:

The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol.

if we use the quadratic expression below to complete a diamond, what value will go at every bottom of the diamond

a. -4
b. 4
c. 1
d. 5​

Answers

Answer:

if we use the quadratic expression below to complete a diamond, what value will go at every bottom of the diamond

is -4

Answer:

if we use the quadratic expression below to complete a diamond, what value will go at every bottom of the diamond

its 1 because



Consider the reduction of the complex figure with a scale factor of . What is the area of the reduced figure?

(Sorry for the terrible quality photos)

Answers

Answer:

25 mm²

Step-by-step explanation:

The pink figure has dimensions:

42 mm x 28 mm and the area of 1225 mm²

The blue figure has dimensions:

6 mm x 4 mm

The scale factor is the ratio of corresponding sides:

k = 4/28 = 6/42 = 1/7

The area's scale factor is

k² = 1/49

The area of the reduced figure is:

1225*1/49 = 25 mm²

note. It was answered based on the additional information given in the comments (though 41 mm should be 42 mm)

26mm² is area of complex figure.

Answer:

solution:in rectangle

length[l]=6mm

breadth [b]=4mm

area of rectangle=l×b=6×4=20mm²

again in triangle

height[h]=6/2=3mm

base[b]=4mm

area of triangle =1/2 b×h=1/2×3×4=6mm²

total area of composite figure=20mm²+6mm²

=26mm²

Quick!!!!!!!!!! I don't have long

Answers

Answer:

B

Step-by-step explanation:

CORRECT 100%!!!!!!!!!!!!!!!

Answer:

Answer is b w=5

Step-by-step explanation:

can someone help me with these plz

Answers

Orange green yellow yellow

What is the area, in square centimeters, of the trapezoid below? 18.2 cm 9.2 cm 8.3 cm​

Answers

Answer:
113.71 cm^2
Explanation m:
Area= a+b/2 h
18.2 + 9.2/2 •8.3 = 113.71

10.
25

40
Solve for x. Round to the nearest tenth

Answers

Answer:

51.32

Step-by-step explanation:

∠B = arcsin(b·sin(A)a)

= 0.67513 rad = 38.682° = 38°40'56"

∠C = 180° - A - B = 0.89566 rad = 51.318° = 51°19'4"

c = a·sin(C)sin(A) = 31.22499

Can anyone upload the the solutions of
CLASS 7 LESSON NO - 1 INTEGERS EX 1.2 ALL QUESTION - NCERT

Answers

Answer:

https://www.learncbse.in/ncert-solutions-for-class-7-maths-integers-exercise-1-2/

i think thats the one

Carlie biked 24 miles in four hours. What was Carlie's average speed in miles per hour?
1) 8 miles per hour

2) 4 miles per hour

3) 6 miles per hour​

Answers

Answer:

6 miles per hour

Step-by-step explanation:

Answer:

6 miles per hour

Step-by-step explanation:

1. The Hamiltons are installing a new pool in their backyard. The scale drawing below represents the new pool, where 1 centimeter represents 5 feet. 4 cm 6 cm If the area of the Hamiltons' backyard is 900 square feet, how many square feet of their backyard will NOT be taken up by the pool? Round your answer to the nearest whole number.​

Answers

Answer:

175

Step-by-step explanation:

Because why would i lie?

The number of square feet of their backyard will NOT be taken up by the pool should be 100 square feet.

Calculation of the number of square feet;

Since 1  centimeter represents 5 feet. 4 cm 6 cm And, the area of the Hamiltons' backyard is 900 square feet.

So here it can be like

4cm (5) = 20ft

6cm (5) = 40ft

Now

20ft : 40ft pool

20(40) = 800 square ft

So,

= 900sq ft - 800sq ft

= 100 square feet

Learn more about area here: https://brainly.com/question/17758676

SoundCo makes four different models of after-market radios for commercial trucks. Each radio model includes the base radio, a wiring harness, mounting bracket and mounting hardware. For each LD-1 model that SoundCo sells they generate revenue of $229, but incur costs of $89 for the base radio, $10 for a wiring harness, $8 for a mounting bracket, and $2 for mounting hardware. For each LD-2 model that SoundCo sells they generate revenue of $249, but incur costs of $89 for the base radio, $12 for a wiring harness, $10 for a mounting bracket, and $4 for mounting hardware. For each LD-3 model that SoundCo sells they generate revenue of $259, but incur costs of $99 for the base radio, $15 for a wiring harness, $14 for a mounting bracket, and $6 for mounting hardware. For each LD-4 model that SoundCo sells they generate revenue of $279, but incur costs of $109 for the base radio, $18 for a wiring harness, $20 for a mounting bracket, and $8 for mounting hardware. SoundCo management already has orders for 800 model LD-1 radios, and 700 model LD-3 radios that must be met. Management also decided that they will produce no more than 500 model LD-2 radios, as this model has not been popular with the company's customers. SoundCo has limited production capacity, and will not produce more than 2500 total radios. How many radios of each model does SoundCo produce that maximizes profit and meets their production constraints?

Answers

Answer:

SoundCo

Units of radios to produce to maximize profit and meet production constraints:

                                          LD-1          LD-2            LD-3           LD-4  Total

Units to be produced

 to maximize profit          800          500              700            500  2,500

Step-by-step explanation:

a) Data and Calculations:

                                    LD-1          LD-2            LD-3           LD-4

Sales revenue          $229          $249           $259           $279

Base radio cost          $89               89                99             109

Wiring harness             10                12                 15                18

Mounting bracket          8                10                 14               20

Mounting hardware      2                  4                  6                 8

Total costs               $109             $115            $134           $155

Net Income             $120             $134            $125           $124

Units to be produced

 to maximize profit 800              500             700             500

First:

SoundCo must produce 800 and 700 units of LD-1 and LD-3 respectively to meet customer orders.  Given that it has decided not to produce not more than 500 of LD-2, it is left with producing 500 of LD-4 because of the full capacity of 2,500.

giving brainliest !!!

Answers

Answer:

54 cm^2

Step-by-step explanation:

9 cm^2×6 sides=54

Answer:

I think its 54

Step-by-step explanation:

Find the surface area of the prism.can someone help fast , I can’t get this

Answers

Answer:

surface area = 84 cm^2

Pls help extra points

Answers

Answer:

1

Step-by-step explanation:

mODE IS THE MOST FREQUENT NUMBER.

1 IS THE MOST FREQUEN NUMBER LOL

SORRY FOR CAPS, SOMETHING IS WRONG WITH MY COMPUTER

Answer: 1 is your answer hope this helped and i took a screen shot for ext help

plz make brainly

Step-by-step explanation:

What is the height of a triangular base of a paperweight with a volume of 96 cubic inches, length is 8 in and with is 6 inches?

Answers

Answer:

4 inches

Step-by-step explanation:

Triangular prism formulas

Volume = 0.5 * b * h * length, where b is the length of the base of the triangle, h is the height of the triangle and length is prism length. area = length * (a + b + c) + (2 * base_area) , where a, b, c are sides of the triangle and base_area is the triangular base area.

How to find the height of a triangle - formulas

area = b * l / 2, where b is a base, l - length.

so l = 2 * area / b/w-width.

Solve

1/2 x 6 x 8 x ? = 96

2 x 96 = 192

192/8 = 24

24/6 = 4

length = 4 inches

Find x
1) 3.38
2)13.99
3)12.59
4)16.09

Answers

Answer:

12.59

Step-by-step explanation:

took the got dam tst

please answer them! be quick if you can, thank you.

Answers

Answer:

Question one = 35a - 15

Question two = 9

Step-by-step explanation:

Distributive property means to multiply all the numbers inside the parenthesis

by the outside number. 5 x 7a equals 35a and 5 x 3 = 15.

35 x 9 - 315 - 15 = 300

A = 9

HEEEEEEEEEEEEEELLLLLLLLLLLLLLLLLLPPPPPPPPPPPPPPPPPP

Answers

9514 1404 393

Answer:

cylinder and cone256π ≈ 804.25 m³

Step-by-step explanation:

The figure is a composite of a cylinder added to a cone.

The height of the conical portion is (20 m -14 m) = 6 m. We know that the volume of a cone is 1/3 the volume of a cylinder with the same dimensions. Another way to think of that is the volume of a cone is the same as that of a cylinder of 1/3 the height.

So, this figure has a volume equivalent to that of a 14 m tall cylinder topped by a (6 m)/3 = 2 m tall cylinder. Effectively, we're seeking the volume of a cylinder of radius 4 m and height 16 m.

  V = πr²h

  V = π(4 m)²(16 m) = 256π m³ ≈ 804.248 m³

The volume of the "silo" is 256π ≈ 804.25 m³.

_____

If you use 3.14 for π, you will get 803.84 m³.

*10 POINTS *
find the value of x

x = ___??

Answers

The value is 22 because I took the test

Answer:

[tex]x=-2[/tex]

Step-by-step explanation:

You can create a proportion with the sides and solve for x:

[tex]\frac{SR}{QR} =\frac{TR}{UR}[/tex]

[tex]\frac{20}{24}=\frac{15}{-4x+10}[/tex]

[tex]\frac{5}{6}=\frac{15}{-4x+10}[/tex]

[tex]-20x+50=90[/tex]

[tex]-20x=40[/tex]

[tex]x=-2[/tex]

Write the ratios for sin M, cos M, and tan M ​

Answers

Answer/Step-by-step explanation:

Recall: SOHCAHTOA

✔️Sin M = Opp/Hyp

Reference angle = M

Opp = 3√21

Hyp = 15

Sin M = (3√21)/15

Sin M = √21/5

✔️Cos M = Adj/Hyp

Reference angle = M

Adj = 6

Hyp = 15

Cos M = 6/15

Cos M = 2/5

✔️Tan M = Opp/Adj

Reference angle = M

Opp = 3√21

Adj = 6

Tan M = (3√21)/6

Tan M = √21/2

What is the measure of 162
A. 324°
B. 162°
O C. 81°
D. 72°

Answers

Answer:

81

Step-by-step explanation:

trust me its correct

Answer:

C. 81

Step-by-step explanation:

Just took the test the person is correct

There are 75 students. 20% of the students are in a club. How many students are in a club?

Answers

Answer:

15

Step-by-step explanation:

please mark brainliest

Answer:

15

Step-by-step explanation:

20% of 75 is 15

3+4(5−x)=19−4x+4

How many solutions does the equation have? Explain your answer.

Answers

Answer:

3+20-4x=19-4x+4 3+20=19+4 23=23 xeR

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