Two​ trains, Train A and Train​ B, weigh a total of 479 tons. Train A is heavier than Train B. The difference of their weights is 357 tons. What is the weight of each​ train?

The speed the fan will turn is 625 rpm

Since they fan and the pulley ahve the same linear speed v = rω where

Then

r₁ω₁ = r₂ω₂ where

Making ω₁ subject of the formula, we have

ω₁ = r₂ω₂/r₁

Substituting the values of the variables into the equation, we have

ω₁ = r₂ω₂/r₁

ω₁ = 2 in × 1250 rpm/4 in

ω₁ = 1250 rpm/2

ω₁ = 625 rpm

So, the speed the fan will turn is 625 rpm

Learn more about angular speed of pulley here:

https://brainly.com/question/2923987

[tex]\mathbb{FINAL\;ANSWER:}[/tex]

[tex]\huge\boxed{\sf{Nope}}[/tex]

[tex]\mathbb{SOLUTION:}[/tex]

Hi! Hope you are having a nice day!

Recall the Properties of  Exponents:

[tex]\rm{a^{-b}=\displaystyle\frac{1}{a^b}[/tex]

Let's use this property to solve:

[tex]\rm{x^{-1}[/tex]

According to the property, we should flop the number over:

[tex]\rm{\displaystyle\frac{1}{x^1}[/tex]

Is that equal to [tex]\displaystyle\frac{-2}{x}[/tex]?

No.

Hope you could comprehend everything.

#CarryOnLearning

Answer:

1/18

Step-by-step explanation:

Based on the given conditions, formulate: 1/6 divided by 3

Calculate the product or quotient: 1/18

Convert to fraction: 1/18

Step-by-step explanation:

You plug in the number that needs to be plugged in and then you solve like a normal equation.

Answer:

right 5 units

Step-by-step explanation:

given f(x) then f(x ± a) is a horizontal translation of f(x)

• if + a then a shift of a units left

• if - a then a shift of 5 units right

f(x) → g(x) = (x - 5)² with a = - 5

then f(x) is shifted 5 units right to obtain g(x)

Answer:

The answer is A.

Step-by-step explanation:

You have one solution where the lines intersect, which is (-7, 6)

Answer:

2 1/6

Step-by-step explanation:

Because the denominators are different, and there are whole numbers involved, then first make the fractions improper.

4 1/2 -> 9/2

6 2/3 -> 20/3

Next, make the denominators the same by multiplying each fraction by the denominator of the other.

9/2 * 3 = 27/6

20/3 * 2 = 40/6

Then you can subtract the numerators because the denominators are the same:

40/6-27/6= 13/6

Then you can convert to a mixed fraction if need be.

Answer:

9×16=144

16×5=. 80

.: 144+80 =224

Step-by-step explanation:

The correct answer is 224

Answer:

Step-by-step explanation:

Answer:

1) 1. 3/5

2. 6/10 which simplifies to 3/5

3. 9/15 which simplifies to 3/5

Step-by-step explanation:

let me know if there are specific questions you want me to answer. I did the first one, but I don't have time to answer them all right now. hopefully this gives you a good start

[tex]b:8:10=3:4:5\\ 9:12:15=3:4:5\ \left\{Calculation\right.[/tex]

[tex](3\times4):(4\times4):(5\times4)=12:16:20[/tex]

Answer:

Step-by-step explanation:

Let the investments be x and y.

Required equations are:

Solve the system by elimination, multiply the second equation by 50 and subtract the first one:

Find the value of y:

Answer:

B

AD will be 20

Answer:

$18

Step-by-step explanation:

Given:

Sale for $20

Sale: 10% off

New cost of the fidget spinner

Solve:

$20 × 10% = 2 {Discount Price/off price}

$20 - 2 = $18 {New cost of the fidget spinner}

Thus, the new cost of the fidget spinner

~Lenvy~

Answer:

35 days because waste removals will empty the pool in 39 days

Answer:

-16

Step-by-step explanation:

t(3)= 3²-2

= 7

s(t(3)) = -2×7-2

= -14-2

= -16

Answer:

Circumference = 2πr

69.08 = 2× 3.14 × r

69.08 ÷ 6.28 = r

11m = r

Answer: 22

Step-by-step explanation: Divide the total by pi or 3.14 and the diameter is 22 and the radius is 11

The value of a and b for the data values of stalk of corn using the logarithmic regression is -76.2038 and 37.6735 respectively.

Logarithmic regression is a type of regression which is used to model the statement in which the growth or decay initially at rapid rate, and then slow down with respect to time.

The data of the table for the day and height of the stalk of corn is listed below.

Day (x)                9    12    22    40    

Height (y) in        5    17    45    60  

Mean of x values,

[tex]m_x=\dfrac{9+12+22+40}{4}\\m_x=17.5581[/tex]

Mean of y values,

[tex]m_y=\dfrac{5+17+45+60}{4}\\m_y=31.75[/tex]

For the above table, the value of correlation coefficient is 0.99133. For these values, the logarithmic regression can be given as,

[tex]y = -76.2038+37.6735\ln(x)[/tex]

Compare it with the following logarithmic regression equation, we get

[tex]y = a+b\ln(x)[/tex]

[tex]a=-76.2038\\b=37.6735[/tex]

Hence, the value of a and b for the data values of stalk of corn using the logarithmic regression is -76.2038 and 37.6735 respectively.

Learn more about the logarithmic regression here;

https://brainly.com/question/25226042

Answer: a= -76.204

b= 37.673

51 days

Step-by-step explanation:

Answer:

option A by symmetry of figure.and then using formula of triangle and rectangle.

Step-by-step explanation:

Answer: The numbers are 96 and 56

Step-by-step explanation:

x+y=152

x-y=40

If you subtract the equations from one another, you will get

x+y=152

-(x-y)=40

So, 2y=112, making y=56

If you plug y=56 into x+y=152, you will get x=96

Answer:

-4

Step-by-step explanation:

you subtract 21 from 17 and you get -4

Answer: 9

Step-by-step explanation: Im guessing right now

Answer:

a

Step-by-step explanation:

Total for Likes Burritos: 70

Does not like burritos: 81

Total for does not like hamburgers: 95

I don't fully know if it's right because I got help from someone else

Answer:

x = 8

z = 15

y = 118°

Step-by-step explanation:

First, we know that these are similar. That means that if we know which angles correspond to each other, those are equal, and the sides that correspond to each other have a common ratio. I went ahead and rotated PQRS so that it visually aligns with WXYZ -- that image is attached. We can do this because similar shapes must have the same angles, so aligning the angles works here. Using that, we can see that, based on the angles, QR matches up with XY, WZ matches up with PS, and so on.

We can then say that there is a common ratio between the corresponding sides.

WZ/PS = XW/PQ = ZY/RS = 9/6 = 12/x = z/10

9/6 simplifies to 3/2, so we have

3/2 = 12/x

multiply both sides by x to no longer have it as a denominator

3 * x / 2 = 12

multiply both sides by 2 and divide both sides by 3 to isolate x

x = 8

3/2 = z / 10

multiply both sides by 10 to isolate z

z = 15

In the corresponding figures, we can see that y matches up with ∠WXY. Thus, the two angles are equal and y = 118°

Answer:

x=18

Step-by-step explanation:

We'll assume that the shorter sides are AB and CD. Then 7x-6=5x+30. You add 6 to both sides. 7x=5x+36. Isolate x. 2x=36. Divide, and x=18.

Answer:

6x +15

Step-by-step explanation:

To solve for the perimeter of the triangle, we need to find the length of each side.

(a +b)² = a² +2ab +b²

Let's factorise the expression for the area of the square:

Area of square

= 4x² +20x +25

= (2x +5)²

Since area of square= side ×side, length of a side of the square is the square root of its area. We are also given that the side of the square is AB.

(AB)²= (2x +5)²

Taking the square root of both sides:

AB= 2x +5

The perimeter is the sum of the lengths of all of its sides.

Perimeter of the triangle

= 3(AB)

= 3(2x +5)

= 6x +15

The equation that  could be used to find the circumference of the tire is  P = 2πr and the circumference of the tire is 50.24 inche

A circumference is a total distance around a plane shape. It is also called perimeter

The equation for finding the circumference of a circle is given below

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, The equation that could be used to find the circumference of the tire is  P = 2πr and the circumference of the tire is 50.24 inches.

Learn more about circumference here: https://brainly.com/question/15673093

Answer:

The function is t(n) = 3n - 9