Two​ trains, Train A and Train​ B, weigh a total of 557 tons. Train A is heavier than Train B. The difference of their weights is 371 tons. What is the weight of each​ train?

Answer:

45an

Step-by-step explanation:

1st. (5a × 3n) × 3

2nd. Multiply the monomials

3rd. after doing that you get 45an

Answer:

y = 1/4x + 4

Step-by-step explanation:

2x - 8y = 32

-2x            -2x

-8y = -2x + 32

divide everything by -8

so that y becomes positive

answer : Y = 1/4x + 4

The slope-intercept form of the linear equation 2x - 8y = 32 is y = (1/4)x - 4.

Given is an equation of a line 2x - 8y = 32, we need to convert it into slope-intercept form of the linear equation.

The slope-intercept form of a linear equation is given by y = mx + b, where m represents the slope of the line and b represents the y-intercept.

To convert the equation 2x - 8y = 32 into slope-intercept form, we need to isolate y on one side of the equation.

Let's rearrange the given equation to solve for y:

2x - 8y = 32

Subtract 2x from both sides:

-8y = -2x + 32

Divide both sides by -8:

y = (2/8)x - 4

Simplifying further, we get:

y = (1/4)x - 4

So, the slope-intercept form of the linear equation 2x - 8y = 32 is y = (1/4)x - 4.

Learn more about linear equation click;

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Answer:

1: AOB is 180 degrees   2: AOF + FOG = 180 degrees 3: 60 + 90 + 30 + 180 4: x = 15

Step-by-step explanation:

x = 15

Add up 5x - 15 + 90 + 2x = 180 degrees

FOG = 90 degrees (right angle)

Combine like terms to get 7x + 75 = 180

subtract 75 on both sides to get 7x = 105

Divide both sides by 7 to isolate x to get x = 15

Substitute 15 for every x you see so 5(15) - 15 and 2(15)

5(15) - 15 = 60

2(15) = 30

Hope this works!!! :)

The population of Ohio will be 10 million in the year 1970

The population growth of Ohio is represented by the function:

[tex]P(t)=\frac{12.79}{1+2.402e^{-}0.0309t}[/tex]

P is the population in millions

t is the number of years since 1900

To find the year that the population of Ohio will be 10 million, substitute P = 10 into the function P(t) and solve for t

[tex]10=\frac{12.79}{1+2.402e^{-}0.0309t}\\\\10(1+2.402e^{-}0.0309t)=12.79\\\\1+2.402e^{-}0.0309t=\frac{12.79}{10} \\\\1+2.402e^{-}0.0309t=1.279\\\\2.402e^{-}0.0309t=1.279-1\\\\2.402e^{-}0.0309t = 0.279\\\\e^{-}0.0309t =\frac{0.279}{2.402} \\\\e^{-}0.0309t =0.116\\\\-0.0309t=ln0.116\\\\-0.0309t=-2.154\\\\t=\frac{-2.154}{-0.0309} \\\\t=69.7[/tex]

t = 70 years (to the nearest whole number)

70 years after 1900 will be 1970

Therefore, the population of Ohio will be 10 million in the year 1970

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Answer:

[tex]x=\frac{cd-ab}{a-c}[/tex]

Step-by-step explanation:

The question is worded in a complicated way. All it says is to solve the equation for x. Do this by isolating x on one side of the equation.

First step is to distribute the a and c on either side,

Subtract cx from both sides,

Next, subtract ab from both sides,

Then, factor out x from the left side,

Finally, divide both sides by a-c,

Answer:

mixed no. 51/10

Improper fraction 5/1/10

Answer:

1. yes

2.yes

3. no

4. no

5. no

Answer:

[tex]s\sqrt{2}[/tex]

Step-by-step explanation:

This would be the diagonal because the formula for diagonals in a square would be [tex]a\sqrt{2}[/tex], where a is the side length.

Answer:

× times 10

Step-by-step explanation:

that image times 10

Answer:

The slope of f(x) is greater than the slope of g(x)

Here is:

https://www.insta gram.com/p/CPqiSD4nxoD/?utm_medium=copy_link

Answer:

This is my guess...

"Even today, the need for work is a common reason people move to urban areas."

Step-by-step explanation:

The article talks about technology and how it lead to bigger cities in the past. Because we are reading about prior years, there is no need to talk about the present day.

Answer:

$192.5

Step-by-step explanation:

$275÷10=27.5

27.5×3=82.5

275-82.5=192.5

Answer:

g(x) = -16^x + 8

Step-by-step explanation:

This reflection is accomplished by putting a negative sign in front of 16^x, and the upward translation by adding 8:

f(x)=16^x  becomes  g(x) = -16^x + 8

% means per 100

so when figuring out percents it's good to use 100

so

on $100 7% would mean $7

on $50 7% would mean $3.5

in $200 7% would mean $14

Answer:

-1/4, 1/8 and 1/5.

Step-by-step explanation:

Answer: (27/56)

Step-by-step explanation:

(2 1/4)/(4 2/3)

(9/4)/(14/3)      [Convert the integers on both sides to leave just fractions.

(9/4)*(3/14)      [Invert the denominator and multiply times the numerator]

(27/56)

[tex] \: \: \: \: \: \: \: \: \: \: \: [/tex]

[tex] \frac{27}{56} \\ \\ in \: \: alternate \: \: form \\ \\ 0.482142857[/tex]

Step-by-step explanation:

[tex]2 \frac{1}{4} \div 4 \frac{2}{3} [/tex]

[tex] \frac{9}{4} \div \frac{14}{3} [/tex]

[tex] \frac{9}{4} \times \frac{3}{14} [/tex]

[tex] = \frac{27}{56} \\ \\ in \: alternate \: \: form \\ \\ 0.482142857[/tex]

[tex] \: \: \: \: \: \: \: \: \: [/tex]

None, it is a binomial because it has 2 terms. The degree is 1.

Hope this helps friend~ ^^

The sale price is 85% of the regular price.

-If regular price is 100% and there is a 15% discount, The sale price will be 85% of reg. price.

100-15=85

Answers:

- Sale price: $25.50

-85%of 100%

-Discount: 15%

-$4.50

You can check by the following:

30-25.5=4.5

30-4.5=25.5

4.5+25.5=30

25.5+4.5=30

100-15=85

100-85=15

85+15=100

15+85=100

(Brainliest?) ^^

Answer:

4.75 feet

Step-by-step explanation:

Let the height of the flagpole be x

Sin 53 = x/12

x = 12 × Sin 53

x = 12 × 0.3959

x = 4.75 feet

Answer:

15.9

Step-by-step explanation:

The 12 ft is the adjacent side and you are trying to find the opposite side or the height of the flagpole. You use Tan. Lowercase x means multiply.

Tan 53 = X

             --------

               12

To get rid of the 12 multiply both sides of the equation by 12. so

Tan 53 x 12 = X/12 x 12

Tan 53 x 12= X

X= 15.9

Answer:

32 dollars

Step-by-step explanation:

Her total os unknown. ? - 5 = 27. 27 + 5 = 32. 32 = ?

[tex] - 4x + 2 \\ \\ [/tex]

Answer:

£60 per day

Step-by-step explanation:

1 week = 5 days

Dan earned = £300

therefore 1 day = 300 ÷ 5 = £60 per day

Answer:

5

Step-by-step explanation:

Start with 9. Then do the opposite operation starting from the end.

9

√9 = 3

3 - 1 = 2

2 × 6 = 12

12 - 7 = 5

Answer: 5

Answer:

The length of the plane is 333 in.

Step-by-step explanation:

Plane length = (1.85)(Boat length)      

The 0.85 in (1.85) above represents the added length; the (1.85) represents the length of the boat PLUS 0.85 time the length of the boat.

Plane length is (1.85)(Boat length) = 1.85(180 in) = 333 in

The length of the plane is 333 in.

Answer:

Its D because the 1=1 and 2=2 + Fish

Step-by-step explanation:

if any concerns or questions on solution, just comment

25 miles is the constant. x is the changing factor. x miles per hour for 5 hours is 5x. y is the total amount. This means that our formula is going to be A) 5x + 25 = y.

All of the other options are incorrect.

I hope this helps! :)