The sum of the speeds of two trains is 723.1 miles per hour. If the speed of the first train is 10.9 mph faster than that of the second train, find the speeds of each.
What is the speed of the first train?

Answers

Answer 1

9514 1404 393

Answer:

  367 miles per hour

Step-by-step explanation:

The speed of the faster train is half the total plus half the difference:

  s1 = (723.1 +10.9)/2 = 367 . . . . miles per hour

_____

Check

The slower train is 367-10.9 = 356.1, and the total is 723.1 mph, as required.

_____

If you want an equation, you can let x represent the faster speed. Then the total is ...

  x + (x -10.9) = 723.1

  2x = 723.1 +10.9

  x = (723.1 +10.9)/2 = 367


Related Questions

Please help me with this stoopidly easy math equation....
1/2 x 1/2 x 1/2 x 1/2 or 1/2^4

Answers

Answer:

0.625

Step-by-step explanation:

i think it's 0.625

The map shows the average high temperature in july for two cities in texas

Answers

Answer:

You didnt show a map

Step-by-step explanation:

A rose garden is circular. The diameter of the garden is 18 feet. Which is closest to the

total area of the garden? Use 3.14 for π.

A. 56.52 ft2

B. 63.59 ft2

C. 113.04 ft2

D. 254.34 ft2

pls help i will send points

Answers

Answer:

b....................?.

#5: Solve the
following
equation
60=5r-4r+14
(Show Work
Here)

Answers

Answer:

r = 46  

Step-by-step explanation:

To solve the equation, solve for r by isolating the variable. Whatever you do to one side, do to the other.  

1) First, simplify the right side by combining like terms. Subtract the coefficients of the terms with the same variables. Subtract 5r by 4r.

[tex]60 = 5r-4r + 14\\60 = r + 14[/tex]

2) Now, finally isolate r by subtracting both sides by 14.

[tex]60 = r + 14\\46 = r[/tex]

So, r = 46.

For every 6 boys in the school, there are 7 girls. If there are 35 girls on any given day, how many boys would there be?

Answers

Answer:

30

Step-by-step explanation:

6/7=x/35

35/7=5

6x5=30

x=30

PLEASE HELP!!! Will MARK BRAINLIEST AND EXTRA POINTS

Answers

Answer:

X= 8

Y= 25

Z= 9

Hope this helps!

2. Fill in the book value at the end of year 1 under each depreciation method when residual value is $36,000 and useful life is 4 years: Depreciation method: Straight-line Units-of-Output

Answers

Answer:

$260,437.50

$108,750

Step-by-step explanation:

Here is the complete question :

Fill in the book value at the end of year 1 under each depreciation method when residual value is $36,000 and useful life is 4 years: Depreciation method:

Straight-line           $335,250

Units-of-Output

Double-declining $217,500

Book value = cost of the asset - first year depreciation expense

Straight line depreciation expense = (Cost of asset - Salvage value) / useful life

(335250 - 36,000) / 2 = $74,812.50

Book value =  $335,250 - $74,812.50 = $260,437.50

Depreciation expense using the double declining method = Depreciation factor x cost of the asset

Depreciation factor = 2 x (1/useful life) = 2/4 = 0.5

$217,500 x 0.5 = 108,750

Book value = $217,500 - 108,750 = $108750

Mr. Powell rents a storage space that is 7 feet high, 5 feet long, and 4 feet wide.
How many containers, each one cubic foot in volume, can Mr. Powell fit into the storage space?

Answers

Answer:

To find how many 1 by 1 containers can fit in his storage space we must find the volume of the storage space in cubic feet. The formula for the volume of a rectangular prism aka the room is length x width x height. With this formula, all we need to do is plug in all the values given to the variables.

volume = length x width x height = 5 x 4 x 7 = 20 x 7 = 140

Final Answer: 140 one foot by one foot containers  can fit in Mr. Powell's storage space

Solve the system by substitution.

Answers

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Answer:
(10,-20)

Hope this helps
Leave a like!

cuanto es
0,68 + 0,24=?
0,68 - 0,24=?
_________________

3,76 + 1.24=?
9,32 + 0,68=?
8.49 + 2,26=?

respuesta con procedimiento por favor (no a calculadora)

Answers

0,68+0,24= 0,92
0,68-0,24= 0,44
——————————
3,76+1,24= 5
9,32+0,68= 10
8,49+2,26= 10,75

what does 1/63 look like (show picture)

Answers

Answer:

do u mean a decimal or a graph bar

Step-by-step explanation:

0.01587301587

List four rational numbers between -1 and 0

Answers

Answer:

4 rational numbers between -1 and 0 are;

(-¼, -½, ¼, ⅜)

Step-by-step explanation:

Rational numbers between two numbers say x and y is given by;

(x + y)/2

Thus;

Rational number between -1 and 0 = (-1 + 0)/2 = -1/2

Rational number between 0 and -1/2 = (-½ + 0)/2 = - 1/4

Rational number between 1 and -1/2 = (-½ + 1)/2 = 1/4

Rational number between 1 and -1/4 = (-1/4 + 1)/2 = ⅜

Thus,4 rational numbers between -1 and 0 are;

(-¼, -½, ¼, ⅜)

Each gallon of paint covers $200$ square feet. I have to paint one side of a wall that is $12$ meters tall and $80$ meters long. If a foot is approximately $0.3048$ meters, then what is the smallest whole number of gallons I can buy and have enough paint to cover the whole wall?

Answers

5 gallons of paint would be the least amount of paint you would need

The smallest whole number of gallons require to paint the wall is 52 gallons.

Given that, 1 gallon of paint = 200 ft², 1 foot = 0.3048 meters and dimension of wall is 12 meter by 80 meter.

What is the area of a rectangle?

The area occupied by a rectangle within its boundary is called the area of the rectangle. The formula to find the area of a rectangle is Area = Length × Breadth.

Converting the dimension to feet :

12/0.3084 = 39.370078 feet

80/0.3084 = 262.46719 feet

Hence, the area of the wall is

Area = Length × width

Area of wall = 262.46719 × 39.370078 = 10333.3537427408 ft²

Let number of gallons required = x

Since, 1 gallon = 200 ft²

x gallons = 10093.516 ft²

Cross multiply :

200x = 10093.516

x = 10333.35374274082/200

x = 51.6667687137041 gallons

x = 52 gallons

Hence, the smallest number of gallons required to paint the wall is 52 gallons of paint.

To learn more about the area of a rectangle visit:

https://brainly.com/question/20693059.

#SPJ2

Jack is investing $3,000 into an account
with an annual compound interest rate of
3% for 30 years. Jack will not make any
| additional deposits or withdrawals. How
X much interest will he have earned at the end X
of the 30 years?
Round your answer to the closest dollar
amount.

Answers

Answer:

Step-by-step explanation:

I think this is the equation for annual compunt interest

FV = PV(1 + int)^time        PV is present value    FV is the future value

PV + Interest  =  FV

FV - PV = Interest

                           FV                   -      PV

Interest  = [3000(1 + 0.03)^30]   -   3000

              =    3000(1.03)^30    -   3000

              =    3000(2.4272)   -   3000

              =    7281.79   -   3000

              =    $4282     to the nearest dollar    <------------    Fianl Answer

Gail needs 9 yards of fabric for a quilt. How many different patterns of fabric does she need if she buys 1/4 of a yard of each pattern? patterns

Answers

Answer:

36

Step-by-step explanation:

just divided 9 by 1/4 I think I may be wrong.

The amount of money in a bank account increased by 15.8% over the last year. If the amount of money at the beginning of the year is represented by n, which expression represents the amount of money in the bank account after the increase?

Answers

Answer:

The expression represents the amount of money in the bank account after the increase is: x=1.158n.

Step-by-step explanation:

With the information provided, you can say that the amount of money in the bank after the increase would be equal to multiplying the amount at the beginning of the year for the result of adding up 1 plus the percentage of the increase, which would be:

x=n*(1+0.158)

x=n*1.158

x=1.158n, where:

x is the amount of money in the bank account after the increase

n is the amount of money at the beginning of the year

Determine the number and nature of the roots.
2.2 + 12x = -4

Answers

Answer:

−0.516667

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

12x+2.2=−4

Step 2:  Subtract 2.2 from both sides.

12x+2.2−2.2=−4−2.2

12x=−6.2

Step 3: Divide both sides by 12.

12x

12

=

−6.2

12

x=−0.516667

Lines m and n are parallel solve for the following values of x. Tell which theorem you used.

Answers

Answer:

x=60°

Step-by-step explanation:

angle 135° and (2x+15)° are corresponding and thus are equal

Therefore (2x+15)°=135°

2x=135-15

2x=120°

X=60°

You are assigned 32 math exercises for homework. You complete 87.5 of these before dinner. How many do you have left to do after dinner?​

Answers

Answer:

4

Step by step:

This is if the question is saying you completed 87.5% of the exercises. Otherwise, I don't know what it is asking.

87.5% of 32=28

32-28=4

4 Write an inequality for the word phrase
-5 is fewer than 6 less than a numberk

Answers

Answer:

6 - 5 < X

Is your expression

20 POINTS: Mr. Holland wants to buy a suit marked $235. He receives a 25% discount, and then there is 7% sales tax. How much will Mr. Holland actually spend on the suit?



Don't forget to round your answer to the nearest hundredth!

Answers

Answer:

$235 - 25% = $176.25

$235x 7% = $16.45

176.25

16.45

+______

(  $192.7 )

A teacher has two large containers filled with blue, red, and green beads, and claims the proportions of red beads are the same in each container. Each student shakes the first container, selects 50 beads, counts the number of red beads, and returns the beads to the container. The student repeats this process for the second container. One student’s samples contained 13 red beads from the first container and 16 red beads from the second container.

Based on the 95% confidence interval, (–0.24, 0.11), is the teacher’s claim justified?

The teacher’s claim is not justified because the two sample proportions are different.
The teacher’s claim is not justified because the interval contains both positive and negative values.
The teacher’s claim is justified because the interval contains 0, meaning there is no difference in the proportions of beads in each container.
The teacher’s claim might not be justified because the interval contains both positive and negative values. It is plausible that the proportion of red beads in each container is different.

Answers

Answer:

D. The teacher’s claim might not be justified because the interval contains both positive and negative values. It is plausible that the proportion of red beads in each container is different.

Explanation:

100%

Answer: The teacher’s claim might not be justified because the interval contains both positive and negative values. It is plausible that the proportion of red beads in each container is different.

Step-by-step explanation: EDGE 2022

combine the like terms to create an equivalent expression
3y+6-y

Answers

The answer is
2y+6

Steps
3y+6+-y
(3y+-y)+(6)
Answer 2y+6

there u go camera is not that good but u can understand

look at image tttyytytytytyt

Answers

Answer:

i looked, ur welcome :)

Step-by-step explanation:

Answer:

i would say the correct answer is c

um HELP PLEASE ASAP I HAVE 6 MINS JSNDKJNKDN

Answers

Answer:

a

Step-by-step explanation:

Simplify.
multiple choice

Answers

the answer is (d) i’m pretty sure

A brownie recipe calls for 1 cup of sugar and a cup of flour to make one batch of brownies. To make multiple batches, the equation f is where fis the number of cups of flour and s is the number of cups of sugar represents the relationship. Which graph also represents the relationship? Explain how you know. HURRY !!!!! PLEASE!!!!!!​

Answers

Answer:

I cant see ths graph but look for one with a positive relationship between flour and sugar meaning that if flour is on one axis sugar should be on the other they should both go up by one every time

Step-by-step explanation:

The graph should say for example at 3 cups of flour that their is 3 cups of sugar. It should look upwards in growth and use whole positive numbers.

What is the measure of <8
What is the measure of <3
What is the angle relationship between <1 and <5

Answers

Answers:
Angle 8: 125
Angle 3: 55
The relationship between angle 1 and 5: corresponding angles.

Why? Angle 8 is equal to 180-55 so 125
Angle 3 is a corresponding angle to the angle labeled 55 so it’s 55. For the last one it is just the rule of law.

Hope this helps :D

WILL MARK BRAINILIST!!

Answers

Answer:

I think the answer is B because i counted all the beads the students had picked out and then put it as the denominato,r and then put the red colored beads as the numerator.

Nancy has a rectangular garden with length, I, width, w, and a perimeter of 28 feet The length of the rectangle is 2 less than 3 times the width. Choose the system of equations that can be solved to find land w

Answers

Answer:Perimeter =2l +2w

28=2(3x-2) + 2x

Width =4feet

Length =10feet

Step-by-step explanation:

Perimeter of rectangular garden =2(l+b)

Let the width be represented as X

And the length which is 3x-2

Such that the equation to solve for length and width be

Perimeter =2l +2w

28=2(3x-2) + 2x--- system of equation

Solving

28=2(3x-2) +2x

28=6x-4+2x

28=8x-4

28+4=8x

32=8x

X=32/8

X=4

Width =4

Length =3x-2=3x4-2=10

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