Mathematics High School

Two​ trains, Train A and Train​ B, weigh a total of 510 tons. Train A is heavier than Train B. The difference of their weights is 484 tons. What is the weight of each​ train?

Answers

Answer 1

Answer:

Train A is 497 tons and Train B is 13 tons

Step-by-step explanation:

Let a represent the weight of Train A, and b represent the weight of Train B

Set up a system of equations:

a + b = 510

a - b = 484

Solve by elimination by multiplying the top equation by -1

-a - b = -510

a - b = 484

Add these together, and solve for b:

-2b = -26

b = 13

Find the weight of Train A by plugging in 13 as b into one of the equations, and solving for a

a + b = 510

a + 13 = 510

a = 497

So, Train A is 497 tons and Train B is 13 tons

Related Questions

yo 9th grade algebra 2 just answer the bottom row i did the rest by myself.

Answers

Answer:

5. (x-8)(x+2)

10. (x-5)(x-5) OR (x-5)^2

After substituting, what is the first step when evaluating

4y+9
____
7 when Y = 87

Answers

Answer:

The "first step" is the multiplication of 4 and 87

Step-by-step explanation:

I'll assume that you actually meant 4y + 97.  If you substitute 87 for y, you get 4(87) + 97.  The "first step" is the multiplication of 4 and 87:

348 + 97, or

445

plz help i also have more questions up

Answers

Answer:

option D

Step-by-step explanation:

option D is the correct answer of this question.

100% .

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Answers

Answer:

y=2x+2

y=x+3

Step-by-step explanation:

7 3/4 as a percent? PLZ WILL GIVE BRAINLIEST TO BEST ANSWER

Answers

Answer:

7 3/4 = 775%

Step-by-step explanation:

pls mark meh as brainliest!

Evaluate: 5^-2 plsssss

Answers

Answer:

0.05

Step-by-step explanation:

5^-2 =

Move the decimal two spaces to the right and you get,

0.05

Hope that helps!

Answer:

the exact form is 1/25 and the decimal form is 0.04 hope dis help

Step-by-step explanation:

Find the measure of.. (image included)
I need help please! My teacher changed the due date to today and I don't understand it.

Answers

the answer is b . 50 degrees

Answer:

B) 50

Step-by-step explanation:

<A = x + 53

x + 53 + x + 83 + 50 = 180

2x + 186 = 180

2x = -6

x = -3

<A = x + 53

-3 + 53

50

use the graph f(x)=-x²+8x+20 to determine the values of: p for which -x²+8x+p=0 will have equal roots​

Answers

According to the discriminant of the quadratic equation, it will have equal roots for p = -16.

What is the discriminant of a quadratic equation and how does it influence the solutions?

A quadratic equation is modeled by:

[tex]y = ax^2 + bx + c[/tex]

The discriminant is:

[tex]\Delta = b^2 - 4ac[/tex]

The solutions are as follows:

If [tex]\mathbf{\Delta > 0}[/tex], and it is a perfect square, it has 2 rational solutions.If [tex]\mathbf{\Delta > 0}[/tex], and it is not a perfect square, it has 2 irrational solutions.If [tex]\mathbf{\Delta = 0}[/tex], it has equal roots.If [tex]\mathbf{\Delta < 0}[/tex], it has 2 complex solutions.

In this problem, the equation is:

[tex]f(x) = -x^2 + 8x + p[/tex]

Hence the coefficients are a = -1, b = 8, c = p.

It has equal roots if [tex]\Delta = 0[/tex], hence:

[tex]b^2 - 4ac = 0[/tex]

[tex]8^2 + 4p = 0[/tex]

[tex]4p = -64[/tex]

[tex]p = -16[/tex]

More can be learned about the discriminant of a quadratic equation at https://brainly.com/question/19776811

how do I find the ratio​

Answers

Answer:

Ratios are like fractions. It is one part divided by the total amount of parts.

Step-by-step explanation:

for example there are 2 boys and 5 girls

so the ratio of boys to girls is 2:5

Find the greatest common factor of 9n² and 6m⁴?​

Answers

the GMF of 9n^2 and 6m^4 is 3

Help me pls pls help

Answers

Double 8 means to do 8 x 2 and you also need to do 4x2. In the end you need to subtract the two numbers so you need brackets.

This means (8x2)-(4x2) is the correct answer!!

Hope this helps :)

Answer:

The last one

Step-by-step explanation:

This is because 8x2 is doubling8 and then it also asks to multiply 4 and 2

Lastly it says subtract second number from first which means subtract 4 by 2 from 8 by 2

Hope this makes sense

Select the ratios that are equivalent to 11:1.
Choose 3 answers:
A-1:11
B-22:2
C-55:5
D-9:99
E-110:10
​

Answers

Answer:

i think the answer is B . 22::2

Omg Pls help

Which figure is similar to the shaded one

Answers

Answer:

the answer should be A

Step-by-step explanation:

hope it helps, have a good day :)

A is similar to the shaded shape

Which equation is graphed here?
A) y=3
B) x=3
C) y+1=3
D) x-1=3

Answers

the answer is A. y=3

What is the GCF of the numerator & denominator below?

(x-2)(x+3)/x^2+4x+3

Answers

Answer:

Step-by-step explanation:

Factorize the denominator

Sum = 4

Product = 3

Factors = 1 , 3    {1*3 = 3 and  1+3 = 4}

x² + 4x + 3 = x² + x    + 3x + 1*3

                 = x(x + 1) + 3(x + 1)

                 = (x + 1)(x + 3)

GCF of the numerator and denominator = (x + 3)

CAN SOMEONE PLEASE HELP ME WITH THIS??

Answers

Answer:

12

Step-by-step explanation:

6x12=72

3x12=36

36+36=72

Answer: 23.

Step-by-step explanation:

A circular swimming pool has a radius of 15 feet. What is the circumference of the pool?

Answers

Answer: 706.5

Step-by-step explanation:

A= pi r squared

A= 3.14x15 squared

15 squared = 225

A= 3.14x225

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Answers

Answer: I think it is 10364 or 10248 because when i put it in a calculator I got 8803.4 or 10296

Step-by-step explanation:

Two angles are vertical angles. One measures 39 degrees. What is the measure of the other angle? *

Answers

Can u post a picture of it?

2
3
4
5
Simplify.
(-v2+3v – 7) + (402+5v+6)

Answers

Answer: -v^2 + 8v + 401

Step-by-step explanation:

I am working of Circumference of circles rn and How do u find the Circumference of a circle if there is no circumference?

Answers

Hi, I’d need to see the specific question.
circumference=pie x diameter

Step-by-step explanation:

you need either:

the diameter- the distance from one side to the other, or

the Radius- the distance from the center to the edge

the diameter is always double the radius, and accordingly the radius is always half the diameter.

so, the circumference ca be figured out by multiplying the diameter times pi- which, for most calculations is 3.14

if you only have the radius, multiply that by 2 to get the diameter, then by 3.14.

hope that helps!

Find f(x)=(x^2)+x+39, when x=50. (don't write a comma in answer.)

Answers

f(x) = x² + x + 39

f(50) = 50² + 50 + 39

f(50) = 2500 + 89

f(50) = 2589

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Answers

Duristegesbebewsnakawyhoenvefegsysrwiwhwbkkfiren

the formula for simple interest is I=Prt. find the principal (p) if you earn $300 dollars in interest (i) of 5% for 6 years (t)​

Answers

Answer:

$9000

Step-by-step explanation:

I=?

p=$300

R=5*1/100

T=6

I=P*R*T

$300*5/100*6

=$9000

Find The Volume (nearest integer):*

Answers

Answer:

3053.63 or to the nearest integer 3054

Step-by-step explanation:

Volume formula of a sphere

[tex]V=4/3\pi r^3\\V=4/3*\pi *9^3\\V= 3053.63 \\[/tex]

Rounded off = 3054

hi please help i’ll give brainliest please

Answers

Step-by-step explanation:

B ANSWER OOOOOKKKKKKKKK

w÷9=9-8
what is the answer to this equation

Answers

Answer:

9

Step-by-step explanation:

Answer: 9

Step-by-step explanation:

w÷9 = 9-8

simplify 9-8

x÷9=1

multiply both sides by 9

x=9

1.Find the next three terms in the sequence. -2 , -5 , -8, -11 , ...

2. Find the 100th term.


Please show the working. ​

Answers

the next 3 terms would be: -14, -17, and -20 (the pattern is your -3 each time) the 100th term would be -279 i think because there is 93 spots left after the first 7 terms, so 93 x -3 = -279

i really need help on this question!!!!

Answers

Answer:

B. Point M

Step-by-step explanation:

Point N (-4, 2) is 4 units away from the y axis, going left

Point M (-4, -2) is also 4 units away from the y axis, going left

simplify the expression

5 - 8q + -q + -6​

Answers

here hope this helps :)
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