Two​ trains, Train A and Train​ B, weigh a total of 378 tons. Train A is heavier than Train B. The difference of their weights is 210 tons. What is the weight of each​ train?

Answers

Answer 1

Answer:

Train A is 294 tons and Train B is 84 tons

Step-by-step explanation:

You can create a system of equations

A+B=378

A-B=210

Adding both would get

2A=588

2A/2=588/2

A=294

Now plug that in to the second equation (either is fine)

294-B=210

B=84

Check

294+84=378

Answer 2

Step-by-step explanation:

Let,

Weight of train A = x

Weight of train B = y

x + y = 378 (1)

x - y = 210 (2)

Now,

On adding 1 and 2

x + y + x - y = 378 + 210

2x = 588

x = 588/2

x = 294 tons

From 1

294 + y = 378

y = 378 - 294

y = 84 tons


Related Questions

A lifeguard received 15 hours of first aid training and 10 hours of CPR training. What is the ratio of hours of CPR training to hours of first aid training?

Answers

Answer:

The ratio of hours of CPR training to hours of first aid training is  10:15

Step-by-step explanation:

In the sequence
1,2,2,4,8,32,256,...
each term (starting from the third term) is the product of the two terms before it. For example, the seventh term is 256, which is the product of the fifth term (8) and the sixth term (32).

This sequence can be continued forever, though the numbers very quickly grow enormous! (For example, the 14th term is close to some estimates of the number of particles in the observable universe.)

What is the last digit of the 35th term of the sequence?

Answers

Answer: 8

Step-by-step explanation:

Sequence: 1,2,2,4,8,32,256

 

After the first digit, the repeated pattern for the last digit is  2,2,4,8,2,6

 

So, the 35 term's final digit will be 8

Solve: x²+5x-6 = 0
Answer please​

Answers

Given that:

x² + 5x - 6 = 0

Here we see that,

→ Product of coefficient of x² and constant term = 1 × 6 = 6

→Difference of the constant term and the coefficient of x² = 6 - 1 = 5

Now the given equation can be written as,

⇛x² + 6x - 1x - 6 = 0

(Here we simply applied the correc sign and splitted the middle term in two terms)

Now let's take the common terms

⇛x(x + 6) - 1(x + 6) = 0

On grouping we get,

⇛(x - 1)(x + 6) = 0

Here either (x - 1) = 0 or (x + 6) = 0 since the product is zero so anyóne of the terms should be zero.

⇛(x - 1) = 0 or (x + 6) = 0

⇛x - 1 = 0 or x + 6 = 0

⇛x = 1 or x = -6

Here we got two solutions of the equations. This means thet are in correct form.

Answer: The value of X is 1 or -6.

also read similar questions: Solve the following equations. X^2 + 5x + 6 = 0 (Factorise) X^2 + 7x + 11 = 0 (Use the quadratic formula)..

https://brainly.com/question/1296240?referrer

solve the equation x^2+5x+6=0

https://brainly.com/question/22261612?referrer

How do I simplify the expression 7^0+7^2 over (7^3)^2

Answers

[tex]\frac{7^0+7^2}{(7^3)^2}=\frac{1+49}{7^6} = \frac{50}{117649}[/tex]

Ok done. Thank to me :>

Can you help me please ?

Answers

Answer:

A

Step-by-step explanation:

rise⇵ over run ⇄

the rise is -6 the run is 3

A sector with a radius of 6cm has a central angle measure 4pie/9 (in radius)

What is the area of the sector ?


Answers

Answer:

8πcm² = 8pi cm²

Step-by-step explanation

The formula for area of a sector = ½r²θ

Where r = radius = 6cm

θ = central angle = 4pi/9 in radians = 4π/9

Area of the sector = 1/2 × 6² × 4π/9

Area of the sector = (144π/18)cm²

Area of the sector = 8πcm²

Therefore, Area of the sector =

8πcm² = 8pi cm²

Please answer ASAP. Will give brainliest.
Graph the following.
[tex] \:1)3x + 6 \leqslant 0 \\ 2)2x - y < 1 \\ \: \: \: \: \: \: \: \: 3)x + 2y + 2 \geqslant 0 \\ 4)x - 2y > 3[/tex]


Answers

1. x≤-2

2. I am not able to upload the graph

3. y≥0.5  x-1

4. y<0.5  x-3/2

what is the slop of the line 2x - 5y=9

Answers

The slope is 2The slope is 2The slope is 2The slope is 2The slope is 2The slope is 2

Answer:

(5,2)

Step-by-step explanation:

Solve the system of equations - 2x + 2y = 2 and - x + 3y = –17 by
combining the equations.

Answers

Answer:

x=-10, y=-9. (-10, -9).

Step-by-step explanation:

-2x+2y=2

-x+3y=-17

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

-2x+2y=2

-2(-x+3y)=-2(-17)

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

-2x+2y=2

2x-6y=34

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

-4y=36

y=36/-4

y=-9

-x+3(-9)=-17

-x-27=-17

-x=-17+27

-x=10

x=-10

1. (A) Shivalik hills (C) Satpura hills (E) Mole hills (B) Nilgiri hills (D) Aravalli hills

Answers

Answer:

A

Step-by-step explanation:

Shivalik Hills

Hope it helps to you

:-)

kevin's family left on flight 737 to new york.flight 737 traveled 1346 miles in 3 hours.what is the unit rate?

Answers

Answer:

 448 2/3

Step-by-step explanation:

To find miles in 1 hour (the unit rate), divide miles by hours.

  (1346 mi)/(3 h) = 448 2/3 mi/h

The unit rate is 448 2/3 miles per hour.

[tex]\huge{\purple{\underline{\underline{\bf{\pink{ANSWER:-}}}}}}[/tex]

Here we've been given,

Miles (m) = 1346

Time (h) = 3 hours

Unit rate = ?

The standard formula for unit rate is given by,

[tex]:\implies\sf{Unit \: rate = \frac{miles}{hours} } \\ \\ :\implies\sf{Unit \: rate = \frac{1346 \: miles}{3 \: hours} } \\ \\ :\implies\sf{Unit \: rate = 448 \frac{2}{3} \: \frac{miles}{hour} }[/tex]

The unit rate for the flight 737 is 448 2/3 miles per hour.

Colin invests £2350 into a savings account. The bank gives 4.2% compound
interest for the first 4 years and 4.9% thereafter. How much will Colin have after
10 years to the nearest pound?

Answers

Answer:

Answer:

£3692

Step-by-step explanation:

A = p(1 + r/n)^nt

Where,

A = future value

P = principal = £2350

r = interest rate = 4.2% = 0.042

n = number of periods = 1(annual)

t = time = 4 years

A = p(1 + r/n)^nt

= 2350(1 + 0.042/1)^1*4

= 2350(1 + 0.042)^4

= 2350(1.042)^4

= 2350(1.5789)

= 2770.42

A = £2770.42

Total years = 10

Remaining years = 10 – 4

= 6 years

Remaining 6 years

P = £2770.42

r = 4.9% = 0.049

n = 1

t = 6

A = p(1 + r/n)^nt

= 2770.42(1 + 0.049/1)^1*6

= 2770.42(1 + 0.049)^6

= 2770.42(1.049)^6

= 2770.42(1.3325)

= 3691.59

A = £3691.59

Approximately £3692

Thank you!

Can someone please help me with this one ty!!

Answers

Sure bro j Jeff fb le go ñ lo ok

I’m getting really stuck on these questions, help?

Answers

Answer:

m<-1 and 13/15

Step-by-step explanation:

through:(-3,-1), slope=4/3

Answers

Answer:

I need more info

Step-by-step explanation:

Solve for the missing side length for the triangle below

Answers

it is the square root of 389 or approx. 19.72

Help me solve this please!

Answers

Answer:

x=15

Step-by-step explanation:

if you put 8x-10=110 you can solve for x and get 15. this only works because they are opposite & congruent sides

2x^2
When x is equal to -3

Answers

Answer:

18

Step-by-step explanation:

Substitute x = - 3 into the expression

2x²

= 2(- 3)²

= 2 × 9

= 18

A hot-air balloon is tied to the ground with two taut ropes. One rope is directly under the balloon and makes a right angle with the ground. The other rope forms an angle of 60º with the ground. Which statements are correct?
A) d ≈ 60 ft.
B) d ≈ 66 ft.
C) h ≈ 104 ft.
D) h ≈ 108 ft.
E) angle of depression = 30°

Answers

Answer:

d ≈ 60 ft., h ≈ 104 ft.

Step-by-step explanation:

Additionally: angle of depression = 60°

The angle of elevation and the angle of depression are congruent.

Plz, help!!! I'll give brainliest!

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

Here's the solution ~

0.5 ft = 12 × 0.5 = 6 inches

1.5 ft = 0.5 × 3 ft = 6 × 3 = 18 inches

Surface are of cuboid is : -

[tex] \sf2(lb + bh + lh)[/tex]

[tex]2(4 \times 6) +( 6 \times 18) + (4 \times 18)[/tex]

[tex] \sf2[24 + 108 + 72][/tex]

[tex] \sf2(204)[/tex]

[tex] \sf408 \: \: inches {}^{2} [/tex]

What is 35 + 34 ? I cant use calcu pls help me

Answers

Answer:

the answer is 69

Step-by-step explanation:

for your answer you need to understand fast that when you add 34 and 35 what will be the answer you need to think that your answer will be cirrect or not and its very easy question

The length of a metal rod is 9 3/4 feet. What is the length of 1/4 of the rod?

Answers

Answer:

2 [tex]\frac{5}{16}[/tex]

Step-by-step explanation:

2 [tex]\frac{5}{16}[/tex] × 4 = 9 3/4

9 3/4 × 1/4 = 2 5/16

I hope this helps!

Answer:

3 1/4 feet

Step-by-step explanation:

1/4 of 9 3/4

change 9 3/4 into an improper fraction → 39/3

1/4 x 39/3 = 39/12

convert back to a mixed number by dividing 12 into 39

which goes in three times with a remainder of 3 → 3 3/12

however, 3/12 can be simplified to equal 1/4

what are the coordinates of the circumcenter of this triangle

Answers

Answer:

We can find circumcenter by using the circumcenter of a triangle formula, where the location of the circumcenter is O(x,y) and the coordinates of a triangle are given as A(x1,y1),B(x2,y2) and C(x3,y3) A ( x 1 , y 1 ) , B ( x 2 , y 2 ) a n d C ( x 3 , y 3 ) .

Step-by-step explanation:

Please help me I really such at geometry

Answers

Answer:

EF, DE, DF

Step-by-step explanation:

Answer:

EF DE DF

Step-by-step explanation:

Need help ASAP! Problem and directions in picture;)

What is the value of ?

Answers

We know, an exterior angle of a triangle is equal to the sum of its two opposite non-adjacent interior angles. Therefore, Angle V + Angle U = Exterior Angle T

[tex]50 + angle \: \: u \: \: = 115 \\ = > angle \: \: u \: = 115 - 50 \\ = > angle \: \: u \: \: = 65[/tex]

Answer:

Angle U is 65°.

Hope you could get an idea from here.

Doubt clarification - use comment section.

Evaluate
12: (2+2)
67
4
3
111
Help me and I will give u 20 points

Answers

Answer:

it is 27/16 or 1 11/16

Step-by-step explanation:

what is the slope of the line 3x-4y=73x4y=7?​

Answers

Answer:

[tex]\frac{3}{4}[/tex]

Step-by-step explanation:

y = mx + b , "m" is slope and "b" is y-intercept

~~~~~~~~~~~~~

3x - 4y = 7

- 4y = - 3x + 7

y = [tex]\frac{3}{4}[/tex] x - [tex]\frac{7}{4}[/tex] ⇒ m = [tex]\frac{3}{4}[/tex]

GIVING BRAINLIEST
What is the solution to the system of equations graphed below?

Answers

Answer:

(2,-3)

Step-by-step explanation:

The solution of two equations graphed is their intersection point.

Which would be (2,-3)

(2,-3)
Hope this helps

Someone plz help :(

Side Lengths Angle Measures

6.6 in. 45∘

9.4 in. 90∘

6.6 in. 45∘

Based on the measurements, which answer best describes the triangle?

obtuse scalene triangle

obtuse isosceles triangle

acute scalene triangle

right isosceles triangle

right scalene triangle

right equilateral triangle

acute isosceles triangle

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

According to the given information, The Triangle should be ~

[tex] \sf Right \: \: Isosceles \: \: triangle [/tex]

It's because the Triangle has two equal sides 6.6 inches each. and One right angle (90°) ~

In the triangle below,
x = [ ? ] cm. Round to the
nearest tenth.
х
12 cm
170° 90°

Answers

Answer:

sine 70 = opposite / hypotenuse

sine 70 = 12 / x

x = 12 / sine 70

x = 12 / 0.93969

x = 12.7701688855 cm

x = 12.8 cm (rounded to nearest tenth.

Step-by-step explanation:

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