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

Please help

Look at picture

Supplementary angles

Answers

Answer:

Step-by-step explanation:

[tex]3)\frac{5x}{2}+125 = 180\\\\\frac{5x}{2}=180-125\\\\\frac{5x}{2}=55\\\\ 5x = 55*2\\\\ x =\frac{55*2}{5}\\\\ x = 11*2 = 22[/tex]

4) 3x+ 42 + 90= 180

3x + 132 = 180

        3x = 180 -132

        3x = 48

          x = 48/3

         x = 16

The Earth is approximately 8.0 × 103 miles in diameter, from pole to pole. What number is the distance equivalent to?

Answers

Answer:

The diameter of earth  from pole to pole  is equal to [tex]8000[/tex] miles.

Step-by-step explanation:

The number to which the distance is equivalent is

[tex]8 * 10^3\\8 * 1000\\= 8000[/tex]

Thus, the diameter of earth  from pole to pole  is equal to [tex]8000[/tex] miles.

A pair of shoes is on sale for 40%. This would save you $30 from the price. About what is the original cost of the shoes?​

Answers

Answer:

$75

Step-by-step explanation:

a party of 9 friends,
they had 34 cooked
chicken wings but then
they cooked 11 more. If
they each got the same
amount, how many
chicken wings would each
person get?​

Answers

5 chicken wings,

34+11= 45, 45/9 =5

Answer:

5 chicken wings per person

Step-by-step explanation:

if they cooked 34 to begin with then added 11 so

34+11=45

then you divide 45 by 9 equals 5

5.175 into a fraction

Answers

5.715/1 is the answer

Please answer soon!!!

Answers

Answer:

Answer is A easy A A A A A A A

I NEED HELP ASAP! ILL GIVE YOU 10 POINTS FOR THE RIGHT ANSWERS PLEASE!!!!!

Answers

Part A:
f(x) = 20x
Part B:
6 gallons

Luis wants to buy a skateboard that usually sells for $79.91. All merchandise is discounted by %12. What is the total cost of the skateboard if Luis has to pay a state sales tax of 8.25%. Round your intermediate calculations and answer to the nearest cent.

Answers

Answer:

Luis' skateboard will cost $76.32.

Step-by-step explanation:

Divide 79.91 by 100, this is what one percent is worth, .7991.

Multiply this by 12, giving you 12 percent, 9.59 (rounded to the nearest 10th).

Now subtract 9.59 from 79.91, 70.32. That is the price BEFORE tax.

Than divide 70.32 by 100, .7032.

Multiply this by 8.25, 5.80, this is tax.

Now add the price before tax, 70.32, to the tax, 5.80.

This creates 76.12. This means that the total price of the skateboard is $76.32.

Answer:

saving $10.38

tax $5.80

total pay $76.12

Step-by-step explanation:

79.91*0.12=9.59

79.91-9.59=70.32

70.32*0.0825=5.80

70.32+5.80=76.12

Find the missing side

Answers

Answer:

[tex]x = 38.77[/tex]

Step-by-step explanation:

Given

See attachment

Required

Find x

To find x, we make use of:

[tex]sin(\theta) = \frac{Opposite}{Hypotenuse}[/tex]

In this case, it is:

[tex]sin(26) = \frac{17}{x}[/tex]

Make x the subject

[tex]x = \frac{17}{sin(26)}[/tex]

[tex]x = \frac{17}{0.4384}[/tex]

[tex]x = 38.77[/tex]

Simplify completely*****​

Answers

Answer:

[tex]\displaystyle \frac{2(x + 4)}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Terms/CoefficientsFactoring

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle \frac{4x + 16}{6}[/tex]

Step 2: Simplify

[Fraction] Factor numerator:                                                                           [tex]\displaystyle \frac{4(x + 4)}{6}[/tex][Fraction] Reduce:                                                                                          [tex]\displaystyle \frac{2(x + 4)}{3}[/tex]

What is the interquartile range (IQR) of the data set represented by this box
plot?
32
39
44
61
69
Ο Α. 22
Ο Β. 17
Ο Ο Ο Ο
C. 39
D. 44

Answers

Using the median concept, the interquartile range of the data-set is:

A. 22.

What are the median and the quartiles of a data-set?

The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile.The first quartile is the median of the first half of the data-set.The third quartile is the median of the second half of the data-set.The interquartile range is the difference of the third and the first quartile.

From this box plot, we have that:

The first quartile is of 39.The third quaritle is of 61.

Then the IQR is:

61 - 39 = 22.

More can be learned about median and quartiles at https://brainly.com/question/16169585

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What are the next three terms in the sequence 1,7,13,19?

Answers

1, 7, 13, 19, 25, 31, 37, .Together these two sequences contain all of the primes except 2 and 3.

Hope it help

Pls help I’ll brainlest ASAP

Answers

Substract by 12 from 42, and keep going down until you hit -54, which is 8 hours!

What is the coefficient of the term 13a in the expression 13a + 6b? *

A. 1
B. 13
C. 7
D. 6

Answers

Answer:

The coefficient of the term 13a is, 13

Step-by-step explanation:

Coefficient term are the numbers that multiply the variables or letters

In the given expression:

13a means 13 times a , and a is the variable,

so 13 is the coefficient .

6b means 6 times b , and b is the variable ,

so 6 is the coefficient .

therefore, the coefficient of the term 13a in the given expression is, 13.

Answer:

13 and 6

Step-by-step explanation:

coefficents are the numbers behind a variable like a,x,y,b

hope this helped

Helpppppp cupcypcpuffpfuf

Answers

A to B: 1 inch

A to F: 2.5 inches

A to E: 1.5 inches

A to D: 0.5 inch

A to C: 2 inches

A to I: 3.5 inches

A to G: 3 inches

A to H: 4.5 inches

A to J: 4 inches

A to K: 5.5 inches

(sorry, I assumed it was in inches)

I DONT KNOW WHAT IM DOING, PLEASE HELP

Answers

Answer:

you should check out Microsoft Math! It's a free app :)

Is (x + 3) a factor of f(x) = 4x3 + 11x2 − 75x + 18?
Yes; the remainder is 0 so (x + 3) is a factor
No; the remainder is 234 so (x + 3) is not a factor
Yes; the remainder is 234 so (x + 3) is a factor
No; the remainder is 0 so (x + 3) is not a factor

Answers

Answer: B) No; the remainder is 234, so (x+3) is not a factor.

===============================================================

Explanation:

We'll use the remainder theorem. That theorem says if we divide p(x) over (x-k), then the remainder is p(k). A special case of this theorem says that if we get 0 as the remainder, then (x-k) is a factor of p(x).

We're dividing f(x) over (x+3) which means that k = -3. Think of x+3 as x-(-3) so you can match it up with the form x-k.

To find the remainder of f(x)/(x+3), we need to compute f(-3).

Plug x = -3 into the f(x) function to get...

f(x) = 4x^3 + 11x^2 - 75x + 18

f(-3) = 4(-3)^3 + 11(-3)^2 - 75(-3) + 18

f(-3) = 234

The remainder is 234, which is isn't zero, so (x+3) is not a factor of f(x).

Answer:

No; the remainder is 0 so (x + 3) is not a factor

Step-by-step explanation:

If you drive 5 miles east and then 4 miles south, how far are you, to the nearest tenth
of a mile from your starting point?

Answers

Answer:

6.4 miles

Step-by-step explanation:

5^2 + 4^2 = d^2

25 + 16 = d^2 = 41

d = 6.40 miles

The nearest tenth of a mile from your starting point is 6.4.

What is Pythagoras theorem?

The Pythagoras theorem states that if a triangle is right-angled (90 degrees), then the square of the hypotenuse is equal to the sum of the squares of the other two sides.

How to write nearest tenth?

To round a number to the nearest tenth, we need to look to the right of the tenths place, which is the hundredths place. If the digit in the hundredths place is 5 or greater than 5, we need to add one to the digit in the tenths place. If it is 4 or less than 4, the tenths place digit remains the same. All the digits to the right of the tenths place should be changed to 0. That means, while rounding off a number to the nearest tenth, we will stop the rounding at the tenths place.

According to the question

If you drive 5 miles east and then 4 miles south

We have to find the nearest tenth of a mile from your starting point

From the diagram, we have to use Pythagoras theorem

D = [tex]\sqrt{4^{2} +5^{2} }[/tex]

D = [tex]\sqrt{16+25}[/tex]

D = [tex]\sqrt{41}[/tex]

D = 6.40312

Round 6.40312 to the required nearest tenth

D = 6.4

Hence, The nearest tenth of a mile from your starting point is 6.4.

Find out more information about Pythagoras theorem here

https://brainly.com/question/343682

#SPJ2

Express 81−2
in the powers of 3

Answers

Answer:

3^(4)-2

Step-by-step explanation:

That's the answer

.

.

.

Jake feeds some chickens 1/8 of a bag of chicken feed each day. If he has 8 bags of feed, how many days will the feed last?

Answers

Answer: 64 days

Step-by-step explanation: 1/8 every day, so he has 1 bag per 8 days, 8 bags, so 8x8 = 64 days.

need answer asap
Kristin is making balloon arrangements for her birthday party.
Blue balloons come in packs of 42, red balloons come in packs of 70,
and yellow balloons come in packs of 84.


What is the greatest number of arrangements she can make and how many
of each balloon will be in each arrangement?
(*Hint: Think Greatest Common Factor and use the Ladder Method to help you.*)

Answers

Assuming she bought one pack of each and that’s all she can get.
She can make 42 arrangements with 4 balloons each:
2yellow
1blue
1red
(Having 28 red left over)
Good luck, again we are assuming she bought the balloons because it says “balloon packs come in”

What is the value of x? 2x + 4 = 14

Answers

Answer:

5

Step-by-step explanation:

2x + 4 = 14    ( - 4 )

2x + 10           ( /2)

x= 5

the value of x is 5! please mark me as brainly.

Figure ABCD is a parallelogram... open photo to see question pls

Answers

Answer:

choices 2 and 5

Step-by-step explanation:

Evaluate c - 2 when c = 7.
Stuck? Watch a video or use a hint.
What is my final answer

Answers

Answer:

5

Step-by-step explanation:

Subtract 7-2=5.

Tiy deposit $500 in a savings account that earns 7% interest compounded annually.

Answers

500(1+.07/1)^1t assuming t=1 year here the answer would be 535

factorize by splitting the middle term 6x-11x+4​

Answers

Answer: (2x - 1)(3x - 4)

(split -11x as -8x and -3x)

Step-by-step explanation:

I am assuming that it is actually 6x^2 - 11x + 4

To find out how to split the middle term: The two numbers should multiply to a*c (6*4 = 24) and add to b (-11)

-8, -3 works

(6x^2 - 8x) + (-3x + 4)

2x(3x - 4) + -1(3x - 4)

(2x - 1)(3x - 4)

What is the volume of the rectangular prism?

Answers

Answer:

[tex]216mm^{3}[/tex]

Step-by-step explanation:

Someone pls hurry!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:6 songs

Step-by-step explanation:

The answer is 6 song


Can someone go to my page

Allison earns a 10% commission on her weekly sales. Each week, she puts of her commission in a savings account and uses the amount remaining on bills. If Allison's sales for one week were $2,300.00. how much money does she use for bills?​

Answers

Answer:

$2,070 is how much she will use for bills.


36 hours to 2 days
The ratio is
(Type an integer or a simplified fraction)

Answers

18hours/1day. Hope this helped!!!!!!
18 hrs to 24 hrs,
18:24 ratio

pls mark brainliest :) hope this helped!!
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