12. Two trains, Train A and Train B, weigh a total of 312 tons. Train A is heavier than Train B. The difference in their weights is 170 tons. Use elimination to solve the system of equations to find the weight of each train. a + b = 312 a-b= 170 a + b = 312 a - b = 170​

Answers

Answer 1

Answer:

a = 241

b = 71

Step-by-step explanation:

a + b = 312 (#1)

a - b = 170 (#2)

(#1) + (#2) = 2a = 482.

a = 482 / 2 = 241.

b = 312 - 241 = 71.


Related Questions

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Question: 1-3
In the figure below, ADBE is the result of a dilation of AABC with point B as the center of dilation.
E
С
Which statement best uses this information to explain why the AA criterion can be used to prove AABC - ADBE?

Answers

Answer:

I think that the answer is C

Step-by-step explanation:

If the complex number x = 3 + bi and |x|2 = 13, which is a possible value of b?
2
4
9
10

Answers

Answer:

A: 2

Step-by-step explanation:

EDGE 2021

Considering that the magnitude of the complex number x is of 13, a possible value of b is of 2.

What is a complex number?

A complex number is modeled by:

z = a + bi.

In which:

a is the real part.b is the imaginary part.

In this problem, the number is:

x = 3 + bi.

It's magnitude is given by:

[tex]|x| = \sqrt{3^2 + b^2}[/tex]

Then:

[tex]\sqrt{3^2 + b^2} = \sqrt{13}[/tex]

[tex]3^2 + b^2 = 13[/tex]

[tex]b = \pm \sqrt{4}[/tex]

[tex]b = \pm 2[/tex]

A possible value of b is of 2.

More can be learned about complex numbers at https://brainly.com/question/25572463

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How do you find the term in a Aromatic sequence

Answers

a
n

= the term that you want to find

a
1


= first term in the sequence


n = the term position (ex: for 5th term, n = 5 )

d

d = common difference of any pair of consecutive or adjacent numbers

Answer:

An =A1+(n-1)d

Step-by-step explanation:

the nth term of an arithmetic sequence is :

An =A1+(n-1)d   ....a common difference is : d

A1 is the first term

The volume of the box is 448 ft'. Find its length and width.
4 ft
X-6
X
The box has a length of
ft and a width of
ft.
What is length and width

Answers

Answer:

hi

Step-by-step explanation:

Find an answer to your question The volume of the box is 448 ft'. Find its length and width. 4 ft X-6 X The box has a length of ft and a width of ft.

hope this helps

simplify (2x+y)(3x²+2xy+5y²)​

Answers

Answer:

Step-by-step explanation:

6x3 +4x2y + 10xy2 + 3x2y + 2xy2+ 5y3

Solving like terms

6x3 + 7x2y + 12xy2 + 5y3

The simplified form of the expression is 6x³+5y³+12xy²+7x²y

What is an expression?

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given is an expression, (2x+y)(3x²+2xy+5y²)​, we need to simplify it,

(2x+y)(3x²+2xy+5y²)​

= 6x³+4x²y+10xy²+3x²y+2xy²+5y³

= 6x³+5y³+12xy²+7x²y

Hence, the simplified form of the expression is 6x³+5y³+12xy²+7x²y

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How many cubes with side lengths of 1/3 cm does it take to fill the prism

Answers

Answer:

Answer:48 cubes

You could fit 48 cubes with side lengths of 1/3 cm inside a rectangular prism with dimensions of 1 cm X 2 2/3 cm X 2/3 cm.

I hope it's helpful!

James wants to tile his floor using tiles in the shape of a trapezoid. To make
the pattern a little more interesting he has decided to cut the tiles in half
along the median. The top base of each tile is 13 inches in length and the
bottom base is 19 inches. How long of a cut will John need to make so that
he cuts the tiles along the median?
A. 16 inches
B. 3 inches
C. 6 inches
D. 32 inches

Answers

the answer is A :)!!

Find the length of the side and I’ll give brainlyist

Answers

Answer:

the answer is about 7.5

Step-by-step explanation:

hope this helps

tell me if you want me to explain it

Martha is following a recipe for 13 liters of punch that uses 8 liters
of pineapple juice and the rest lemonade.
How much pineapple juice is used for every liter of lemonade? What is the ratio of liters of pineapple juice to liters of punch ?

Answers

Answer:

For every 1 liter of lemonade Martha has to add 1.6 liters of pineapple juice.

The ratio of liters of pineapple juice to liters of punch is 8:13

Step-by-step explanation:

13 - 8 = 5

5 divided by 5 is 1

8 divided by 5 is 1.6

Please show how to do

Answers

Answer:

Slope = -3.5

Step-by-step explanation:

Find the slope using any two given pair of values. Let's use (6, -21) and (12, -42).

Slope = ∆y/∆x

Slope = (-42 -(-21)) / (12 - 6)

Slope = -21/6

Slope = -3.5

8+y=18 как решить уравнения

Answers

Answer:

y=10

Step-by-step explanation:

8+y=18

(-8)

y=10

!!!!!!!!!!!

Answer:

ответ :y=10 я поставил объяснение

Suppose you are driving to visit a friend in another state. You are driving 65 miles per hour.
You must drive 520 miles total. If you have already driven 195 miles, how long will it take you
to reach your destination? Use h to represent the number of hours it will take to reach your
destination. Use the equation 65h+195 = 520.
A.2 hours
B. 5 hours
C. 15 hours
D. 22 hours

Answers

Answer:

b.5 hours

520-195=325

325/65=5

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

........................ .....

A deck of 40 cards contains 20 blue and 20 red cards. Each color has cards numbered 1 to 20.

Which events are independent? Choose all that apply.

Answers

Answer:

A red 5 is chosen from the deck. The card is put back into the deck and the a red card is chosen.

Step-by-step explanation:

An independent event is one whose outcome is not dependent on any other event. There are two types of cards in the deck. If a red card is selected it will be from the series 1 - 20, if the card is put back into deck and then again a red card is selected it will be again from the series 1 - 20. This is an independent event since its outcome is same irrespective of the events.

This is an independent event since its outcome is the same irrespective of the events.

What are independent and dependent variables?

Even though everything can be almost always related to its reason, when we talk about two related things, there might happen that one of those things is dependent on the other.

If a variable is taking its values independently of any visible direct cause, then that variable is called an independent variable.

The variables that take their values based on some other variables' values are called dependent variables.

A deck of 40 cards contains 20 blue and 20 red cards. Each color has cards numbered 1 to 20.

This is an independent event since its outcome is the same irrespective of the events.

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Find the measure of the numbered angles in each rhombus

Answers

Answer:

Step-by-step explanation:

I thought those lines mean that they are equal meaning that the number is 68.

A large store has a warehouse it uses for storage. Trucks back up to the loading dock where merchandise is unloaded, sorted, and stacked in the correct area of the warehouse. The large shelves in the storage area are 17 feet 8 inches apart so the forklift machines can operate between the shelves. Is that distance greater than or less than 216 inches?

Answers

Answer:

The distance is less than 216 inches.

Step-by-step explanation:

Each feet has 12 inches.

The large shelves in the storage area are 17 feet 8 inches apart

So, in inches, this distance is of:

17*12 + 8 = 212

This distance is less than 216 inches.

the area of a room is 55.929 square meters if its width is 5.43 meters, what is its length

Answers

Answer:

10.3m

Step-by-step explanation:

area of a rectangle is width times length, so you have to rearrange the equation

55.929 ÷ 5.43 = 10.3

Answer:

10.3 meters

Step-by-step explanation:

Area = length x width

55.929 = ? x 5.43

Divide 5.43 from 55.929

55.929/5.43 = 10.3 meters

Check = 10.3 x 5.43 = 55.929

The Memorial baseball team purchased three times as many gloves as bats this year. If each glove cost $50 and each bat cost $30 and a TOTAL of $720 was spent on gloves and bats, Find the cost of one glove and one bat.

Answers

Answer:

$80

Step-by-step explanation:

Find the volume of the pyramid below.
5.6 ft :
6 ft
3 ft

Answers

Answer:

this is the final answer

thankyou

Step-by-step explanation:

V=lwh

3

Question 6
A cylinder has a radius of 4 cm and a height of 5 cm.
What is the volume of the cylinder when its radius is halved?
TT cm3

Answers

Step-by-step explanation:

3

[tex]3 \sqrt{xy { - }^{2} } [/tex]

Line l passes through point (0, -1) and is parallel to the line whose equation is y = -2x + 7. Which equation best describes the graph of line l? a) y = -2x + 6, b) y = 2x + 6, c) y = 1/2x - 1, d) y = -2x - 1

Answers

Answer:

[tex]y = -2x -1[/tex]

Step-by-step explanation:

Given

Passes through: (0, -1)

Parallel to: y = -2x + 7

Required

Determine the line equation

If the line is parallel to y = -2x + 7, then it has the same slope as y = -2x + 7.

For an equation of form: [tex]y = mx + b[/tex]

The slope is m

By comparison:

[tex]m = -2[/tex]

So, the slope of the extorted is -2.

The equation is then calculated using:

[tex]y = m(x - x_1)+ y_1[/tex]

[tex]y = -2(x - 0)-1[/tex]

[tex]y = -2(x )-1[/tex]

[tex]y = -2x -1[/tex]

Put the items least to greatest based on the importance

Answers

Answer:

Hi

Step-by-step explanation:

HELP ME PLSSS IM GIVING BRAINLIEST!!!

Answers

Answer:

B

Step-by-step explanation:

If 20 mL of medicine cost $2.00 to produce, then how much does 1L cost?

Answers

Answer:

$100

Step-by-step explanation:

1L has 1000ml, so 1000/20=50x$2.00=$100

I think

Hope this helps

:)

Three hermit crabs at a pet store cost $ 21.75 . If each hermit crab, h , costs the same amount, which equation can be used to find the cost per hermit crab correctly?

Answers

Answer:

Step-by-step explanation:

$21.75/(3 crabs) = $7.25/crab

In which number does the digit 9 have a value that is 1/10 of the value of the digit in 8.097

Answers

The Value of the digit 9 would be 0.009 or in the thousandths hence 9 thousandths.

STEP BY STEP EXPLANATION:

If this question asks you what is a fraction of a number that means you divide that number. In this instance you divide this number by 10, because you are trying to find the value of this number at 1/10. Once that number is divided by 10 setting every number in that value back one that means that the 9 would move back one space. So instead of making it’s value 9 hundredths, it is now 9 thousandths. (Even smaller)

5 & 2/8 - 3 &7/8 = ?​

Answers

Answer:

11/8 or 1 & 3/8

Step-by-step explanation:

5 & 2/8=21/4

3&7/8=31/8

21/4-31/8=11/8 or 1 & 3/8

Answer:

[tex]1\frac{3}{8}[/tex]

Step-by-step explanation:

Convert to improper fractions.

[tex]\frac{42}{8} -\frac{31}{8}[/tex]

Subtract.

[tex]\frac{11}{8} = 1\frac{3}{8}[/tex]

good luck, i hope this helps :)

Algebra 2 Unit 1 Assessment
Which of the following contains multiple variables?
4a + 5b + 1

4a + 5a + 1

4a - 1

4 - 1

Answers

Answer:

I would have to say A

Step-by-step explanation:

B has 2 of the same variables while A has to different variables and C&D have no variables there for the answer is A

i also think it’s A

PLEASE HELP ME !!!!!!!!

Answers

It should be A, it’s the only answer that gives all the available choices or options he could get
A because I read the guys answer on top

Evaluate −nz−z2−2z when n=3. Simplify your answer.

Answers

Answer: n=

−z2−5

z

Step-by-step explanation:

Let's solve for n.

(−n)(z)−z2−2=3

Step 1: Add z^2 to both sides.

−nz−z2−2+z2=3+z2

−nz−2=z2+3

Step 2: Add 2 to both sides.

−nz−2+2=z2+3+2

−nz=z2+5

Step 3: Divide both sides by -z.

−nz

−z

=

z2+5

−z

Answer:

-z^2-5z

Step-by-step explanation:

To evaluate a polynomial at a given value, we substitute the given value for the variable and then simplify using order of operations. We are given n=3, so we substitute 3 for n in the polynomial −nz−z2−2z and simplify as follows.

−nz−z2−2z

−(3)z−z2−2z

−3z−z2−2z

−z2−5z

Jack can text 210 characters in 21 minutes. Write an expression for m minutes.
a. 10m
b. 210m
c. 21m
d. 12m

Answers

The answer is B 210m
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