Two​ trains, Train A and Train​ B, weigh a total of 257 tons. Train A is heavier than Train B. The difference of their weights is 237 tons. What is the weight of each​ train?

Answers

Answer 1
For simplicity sake, let's call Train A "A" and Train B "B".

A + B = 192

A > B

A - B = 120

192 ÷ 2 = 96

96 ± 120 ÷ 2 = 96 ± 60 = 156, 36

Train A weighs 156 tons and Train B weighs 36 tons :)

Related Questions

If m20 = 4x - 20, and m2Q = 3x + 5, what is mo?
P
M


R
mzo =

Answers

Answer:

hello hhhhh

Step-by-step explanation:

Answer:

direct message me I will help u out

How many months would it take the bamboo plant shown in the graph to be 66 inches tall

Answers

Answer:

18 months

Step-by-step explanation:

c

An arithmetic sequence is given below.
8, 12, 16, 20, .....
write an explicit formula for the nth term an
an = ???
-please help

Answers

>> Answer

________

[tex] \: [/tex]

an = 8 + (n - 1) × 4

an = 8 + 4n - 4

an = 4n + 4

Answer:

[tex]a_{n}[/tex] = 4n + 4

Step-by-step explanation:

The nth term (explicit formula) of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 8 and d = a₂ - a₁ = 12 - 8 = 4 , then

[tex]a_{n}[/tex] = 8 +4(n - 1) = 8 + 4n - 4 = 4n + 4

a radioactive substance has a half-life of 2 seconds. A scientist begins with a sample of 20 grams. How much of the substance remains after 8 seconds?

Answers

Answer:

1.25 g

Step-by-step explanation:

you start with 20g at 0 seconds.

divide by half after 2 seconds and you have 10g.

at 4 seconds you have 5g.

at 6 seconds you have 2.5g.

at 8 seconds you have 1.25g.

The size of the substance after 8 seconds will be 1.25 g

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that a radioactive substance has a half-life of 2 seconds. A scientist begins with a sample of 20 grams.

Start with 20g at 0 seconds and divide by half after 2 seconds and you have 10g.

4 seconds you have 5g.

6 seconds you have 2.5g.

8 seconds you have 1.25g.

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If f(x) = 7x- 6, which of the following is the inverse of kx)?​

Answers

Step-by-step explanation:

[tex]f(x) = 7x - 6[/tex]

[tex] \: [/tex]

Inverse

[tex]y = 7x - 6[/tex]

[tex]x = 7y - 6[/tex]

[tex]x + 6 = 7y[/tex]

[tex]y = \frac{x + 6}{7} [/tex]

[tex] {f}^{ - 1} (x) = \frac{x + 6}{7} [/tex]

Using the matrix solver on your calculator, find the solution to the system of
equations shown below.
5x - 4y= 1
4x - 2y = 8

Answers

5x - 4y = 1
-4y = 1 -5x
-2y = 0,5 - 2,5x

4x - 0,5 - 2,5x = 8
1,5x = 7,5
x = 5


replaying x for 5:

5x - 4y = 1
25 - 4y = 1
- 4y = 24
4y = 24
y = 6

Answer: x = 5, y = 6

Step-by-step explanation: took the quiz.

The Sydney Harbour Bridge is approximately 1200 metres long. A model of the bridge is built with a scale of 1:6000. What is the length of the model?
Pick one:
5cm
20cm
200cm
720cm

Answers

Answer:

20cm

Step-by-step explanation:

The Sydney Harbour Bridge is approximately 1200 metres long. A model of the bridge is built with a scale of 1:6000. What is the length of the model?

Pick one:

5cm

20cm

200cm

720cm

--------------------

scale = 1:6000

so

1200 : 6000 =  0.2m

0.2m = 20 cm

Answer:

20cm

Step-by-step explanation:

«A scale of 1:6000» means the model is smaller than the bridge by a factor of 6000. We can also make up a proportion [tex]\dfrac{1}{6000}=\dfrac{x}{1200}[/tex], where the left side is the scale, x is the model length, 1200 is the bridge length (in meters). So, finding x or just dividing 1200 by 6000, we get 0.2 meters. Provided 1 m = 100 cm, 0.2 m is 0.2 × 100 = 20 cm.

on average, 8 potatoes cost $1.50 at a farmers market. fernando needs to buy 22 potatoes
a. estimate the cost of 22 potatoes. explain
b. how much will it cost fernando to buy 22 potatoes? how does this compare to your estimate ?
c. how many potatoes could fenando buy with $7 ?
d. what is the unit cost per potato

Answers

Answer: a) it will cost him $4.13 rounded

B)about 36

C)$ 0.19 (rounded) per potato

If the parallel sides of a trapezium are 2 cm apart and their sum is 10 cm then find its area.

Answers

Answer:

[tex] {10cm}^{2} [/tex]

Step-by-step explanation:

Given,

Sum of parallel sides of the trapezium = 10 cm

Distance between or Height of the trapezium = 2 cm

As we know,

Area of a trapezium

[tex] = \frac{1}{2} \times (sum \: of \: parallel \: sides) \times height[/tex]

Therefore,

Area of the given trapezium will be,

[tex] = \frac{1}{2} \times 10 \: cm \times 2 \: cm[/tex]

(On Simplification )

= 1 × 10 cm × 1 cm

(On multiplying)

[tex] = 10 {cm}^{2} [/tex]

Hence,

The Area of the trapezium is 10 sq.cm (Ans)

Given :

The parallel sides of a trapezium are 2 cm apart and their sum is 10 cm.

To Find :

Its area.

Solution :

We know that,

[tex]{ \qquad \: \pmb{ \dfrac{1}{2} \times (sum \: of \: the \: parallel \: sides) \times height} = \pmb{Area_{(trapezium)}}}[/tex]

Now, Substituting the given values in the formula :

[tex]\qquad { \dashrightarrow \: { \sf{ \dfrac{1}{2} \times 10\: \times 2 \: = {Area_{(trapezium)}}}}}[/tex]

[tex]\qquad { \dashrightarrow \: { \sf{ \dfrac{1}{2} \times 20 = {Area_{(trapezium)}}}}}[/tex]

[tex]\qquad { \dashrightarrow \: { \sf{ \dfrac{20}{2} = {Area_{(trapezium)}}}}}[/tex]

[tex]\qquad { \dashrightarrow \: { \sf{ 10 = {Area_{(trapezium)}}}}}[/tex]

Hence,

The area of the trapezium = 10 cm² .

1.) From a group of 8 people, 5 will each win $1,000. How many different winning groups are
possible?
A.) 56
B.) 6720
C.) 168
D.) 336

Answers

Anwser 6720 ways different

Step-by-step explanation:

In this case, we must calculate the different ways using the permutation formula:

nPr = n! / (n - r)!

where n is the total number of people and r would come being the group of person that you want to put together the groups, therefore n = 8 and r = 5

replacing:

8P5 = 8! / (8 - 5)!

8P5 = 6720

That is to say that there are 6720 ways different winning groups are possible

Tim worker went to his bank. He deposited $72.15 and the teller credited $5.79 to his account for interest. If Tim's initial balance was $1,226.14, what will his new balance be?
$1,159.78
$1,304.08
$1,148.20
$1,292.50

Answers

1,292.50

add 72.15 to the initial balance, then subtract 5.79

Is 126 divisible by 3

Answers

Answer:

yes

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

126/3 = 42

Which of the following tables does not represent a function?


x y
-1 1
-2 1
-3 1

x y
-5 1
-5 -2
-5 -5

x y
-4 0
2 0
5 7

x y
-5 1
-3 -2
-1 -5

Answers

Step-by-step explanation:

the second one (with the -5 as x values) is not a function, because the valid x value -5 has more than one associated different solution value y.

for a function a valid x value can lead only to exactly one result y value.

The ratio of two numbers is 7:2. If the greater number is 28, find the smaller one.​

Answers

Answer:

Answer:

8

Step-by-step explanation:

7   : 2

We know the larger number is  28

28 : x

We multiply 7 * 4 = 28, so multiply the first ratio by 4

7*4   : 2*4

28  : 8

The second number is 8

Please give brainliest

Have a nice day!

w + 12 = 20 *


ANSWER ASAP PLS​

Answers

Answer:

the nwser is 8 please mark brainliest

Step-by-step explanation:

Write the equation for 5x + 2y = 3 in slope-intercept form..

Answers

Answer:

[tex]y=-\frac{5}{2}x+\frac{3}{2}[/tex]

Step-by-step explanation:

[tex]5x+2y=3\\\\2y=-5x+3\\\\y=-\frac{5}{2}x+\frac{3}{2}[/tex]

Answer:

Step-by-step explanation:

Slope-intercept from: y = mx + b

5x + 2y = 3

       2y = -5x + 3

Divide the whole equation by 2

[tex]\dfrac{2y}{2}=\dfrac{-5x}{2}+\dfrac{3}{2}\\\\y=\dfrac{-5}{2}x +\dfrac{3}{2}[/tex]

What are the domain, range, and asymptote of h(x) = (1.4)x + 5?domain: {x | x is a real number}; range: {y | y > 5}; asymptote: y = 5domain: {x | x > 5}; range: {y | y is a real number}; asymptote: y = 5domain: {x | x > –5}; range: {y | y is a real number}; asymptote: y = –5domain: {x | x is a real number}; range: {y | y > –5}; asymptote: y = –5

Answers

Answer:

A.Domain:{x\x is a real number }

Range:{y\y>5}

Asymptote :y=5

Step-by-step explanation:

We are given that a function

We have to find the domain, range and asymptote of h(x).

It is exponential function therefore, it is defined for all values of x.

Hence, domain  of h(x)={x| x is a real number}

Substitute x=0 then we get

(a^0=1)

Hence, range of h(x)={y|y>5}

For exponential function,

Horizontal asymptote: when

Apply limit

Hence, the horizontal asymptote y=5.

Which of the following best describes the graph shown below?

Answers

I believe it is C since it’s shape Is not linear so it cannot be A, and it is a function.

Answer: D

Step-by-step explanation:

if y varies inversely as n and m = 8 when n = 3 find m whenn =12

Answers

Answer:

24

Step-by-step explanation:

m=8x4 n=3x4 so that is the answer

Look at pic! It isnt A!

Answers

It’s not A but the answe is D

in your own words explain the phrases "claming first and second place respectively"​

Answers

Answer:

If we divide twice the qualifier of Jose by 4 it results in less than 8. What is Jose's highest grade?

6x - y^2 + 3z ;if x = 4,y = 7,z = 10

Answers

Answer: 5

Explanation: You plug in each number for their corresponding variable.

6(4)-(7)^2+3(10) Simplify

24-49+30 Solve

5 Solution

Please help me with this homework

Answers

√54/3, √13, 6, 8, 26/3

What is the 4th equivalent fraction to 1/12?

Answers

Answer:

Where's the Answer? There's No

Hello there!

Remember that equivalent fractions have the same value.

[tex]\frac{1}{2} , \frac{2}{24} ,\frac{3}{36}, \frac{4}{48}[/tex]

Therefore, the 4th equivalent fraction to 1/12 is [tex]\frac{4}{48}[/tex]

Hope this helps you!

~Just a felicitous girlie

#HaveASplendidDay

[tex]SilentNature :)[/tex]

9. 2 less than 3 times a number is the same as 2114. What is the number?

Enter your answer as a decimal or simplified mixed number in the box. The number is.

Answers

Answer:

705.3 repeated I don't know if that's what you want but

3 times of 705.33 and 2 subtracted is equal to 2114.

What is Simplification?

Simplification in mathematical terms is a process to convert a long mathematical expression in simple and easy form.

Given that,

2 less than 3 times a number equal to 2114.

Let the required number is x.

According to given condition,

3x - 2 = 2114

3x = 2114 + 2

3x = 2116

x = 2116 / 3

x = 705.33

The required number is 705.33.

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2m to 2km converted representative fraction​

Answers

Answer:

1/1000

Step-by-step explanation:

150 is 15% of what number

Answers

15/100 * x = 150
15 x = 150 * 100
x = 10 * 100
x = 1000

Answer:

1000

Step-by-step explanation:

15 = 15/100 x a

a = 150 ÷ 15/100

a = 150 x 100/15

a = 1000

Multiply (x − 4)(x2 + 6x − 5).

x3 + 2x2 − 29x + 20
x3 − 5x2 − 14x + 20
x3 + 6x2 − 13x + 20
x3 + 10x2 − 19x + 20

Answers

Answer:

x3 + 2x2 − 29x + 20

Step-by-step explanation:

x(x2+6x−5)−4(x2+6x−5)

x3+6x2−5x−4(x2+6x−5)

x3+6x2−5x−4x2−24x+20

x3+2x2−5x−24x+20

x3 + 2x2 − 29x + 20

Monique wants to check out as many books by her favorite author as possible. She can check out 3 books at a time from her library, where there are 6 books available written by her favorite author. How many different sets of 3 of these books can Monique choose

Answers

Monique can choose 20 different sets of 3 of the books

What is a combination?

The set of books she can select from the library is an illustration of combination (or selection)

The expression that represents combination is represented as:

[tex]^nC_r = \frac{n!}{(n - r)!r!}[/tex]

Where:

The total number of books [tex]n = 6[/tex]The set of books to check out [tex]r = 3[/tex]

So, we have:

[tex]^6C_3 = \frac{6!}{(6 - 3)!3!}[/tex]

Evaluate the differences

[tex]^6C_3 = \frac{6!}{3!3!}[/tex]

Evaluate the factorials

[tex]^6C_3 = \frac{720}{6 \times 6}[/tex]

Evaluate the products

[tex]^6C_3 = \frac{720}{36}[/tex]

Divide 720 by 36

[tex]^6C_3 = 20[/tex]

Hence, Monique can choose 20 different sets of 3 of the books

Read more about combination at:

https://brainly.com/question/11732255

Answer:

it is in fact 20 (for khan)

Step-by-step explanation:

credit goes to person above

2x2-5x-2 solve by quadratic formula 9leave answers in simplest radical form)

Answers

Answer:

-5x+2

Step-by-step explanation:

1. Multiply number 2 and 2=4 so it is

4-5x-2

2. Combine like terms

-5x+4-2

3. Subtract the numbers

-5x+2

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