Three trains are made of identical train cars, so each car has the same number of seats. The first train has 418 seats, the second train has 456 seats, and the third train has 494 seats. How many cars are in each train if no train has more than 25 seats

Answer: Heyaa! ~

   10. 8√2

   11. 2h²√3

   12. 2h³√5k⁴

Step-by-step explanation:

    - Lets solve it together!

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

Hopefully this helps you!

The capacity of the tank is 240 cm³.

Capacity means the volume of a solid shape.

To calculate the capacity of the tank, we use the formula below.

Note: When the water from the 8 small containers is poured into the tank that was initially half full, becomes 1.4 full that means the water from the 8 small containers fills the tank 0.9

Formula:

Where:

Solve for V

Hence, the capacity of the tank is 240 cm³.

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Both of those values are in scientific notation

Scientific notation is when we have numbers of the form [tex]a \times 10^b[/tex] where [tex]0 \le a < 10[/tex] and b is an integer.

Both 9.725 and 9.7250 are inside the inequality mentioned above.

Scientific notation is used to help describe very large numbers, or very small numbers, depending on context.

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

If you wanted to convert from scientific notation to standard notation, then you'll move the decimal point based on what the exponent is. The positive 6 means we move the decimal point 6 places to the right.

We go from 9.725 to 9,725,000 which is about 9.7 million

In other words, [tex]9.725 \times 10^6 = 9,725,000[/tex]

As another example, [tex]1.23 \times 10^{11} = 123,000,000,000 = \text{123 billion}[/tex] since we start at 1.23 and move the decimal point 11 spots to the right to arrive at 123,000,000 aka 123 billion.

The distance between the swimming pool and Tim's house is 3.5 miles.

First, we need to find the distance between the two points, and then we multiply that by 0.5 miles.

The distance between the points (-6, 5) and (1, 5) is:

[tex]d = \sqrt{(-6 - 1)^2 + (5 - 5)^2} = 7[/tex]

Now, changing to miles, we get:

d = 7*0.5mi = 3.5mi

So the distance is 3.5 miles

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The area of a the trapezoid given in the diagram is calculated as: B. 96 cm².

Area of trapezoid = 1/2(a + b)h

Given the following:

Area of the trapezoid = 1/2(12 + 20)6

Area of the trapezoid = 96 cm²

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Answer:

I'm Pretty sure

Step-by-step explanation:

Step 1: Calculate the quartile values. First you need to calculate the minimum, maximum and median values, as well as the first and third quartiles, from the data set. ...

Step 2: Calculate quartile differences. ...

Step 3: Create a stacked column chart. ...

Step 4: Convert the stacked column chart to the box plot style.

Answer:

113.04 yd²

Step-by-step explanation:

The formula for finding the surface area of a cylinder is:

2πrh+2πr² r = radius, h=height

The radius of this cylinder is 2, so you replace the 'r' with '2.' The height is 7 yd, so you replace the 'h' with '7.' Use 3.14 for π.

2πrh+2πr²

2(3.14)(2)(7) + 2(3.14)(2)^2

= 113.04 yd²

[tex](\stackrel{x_1}{2}~,~\stackrel{y_1}{-15})\qquad (\stackrel{x_2}{14}~,~\stackrel{y_2}{r}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{r}-\stackrel{y1}{(-15)}}}{\underset{run} {\underset{x_2}{14}-\underset{x_1}{2}}}~~ = ~~\stackrel{\stackrel{m}{\downarrow }}{\cfrac{3}{4}}\implies \cfrac{r+15}{12}~~ = ~~\cfrac{3}{4}\implies r+15 = \cfrac{12\cdot 3}{4} \\\\\\ r+15=9\implies \boxed{r=-6}[/tex]

The measure of the angle m∠Q is 30.8 degree after applying the law of cosine.

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

Let's suppose the angle m∠Q is A

So applying law of cosine:

[tex]\rm 40^2 = 64^2+32^2-2(64)(32) \ cosA[/tex]

CosA = 0.859

A = 30.75 ≈ 30.8 degree

Thus, the measure of the angle m∠Q is 30.8 degree after applying the law of cosine.

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Answer:

0.00000078 is the answer to the question

Answer: 9/2π

20 / 9 = 10π  s

20 /9  *10π= s

2 /9  π = s

Answer:

3=6

63=x

x×3 =63×3

x×3= 189

3 3

x=63.

Answer:

She has enough to make 4 batches of peanut butter and 6 batches of chocolate chip.

Step-by-step explanation:

26/2 = 13. There's enough flour to make the recipe 13 times over, however,

she only has the amount of butter to make a dozen of the first recipe. 9 divided by (3/4) = 12.

26/3 = 8.6, or 8 and 3/4ths of a batch with the flour. She has enough butter to make 9, but not enough flour, so she could make 8 batches of chocolate chip cookies.

She can make 12 batches of peanut butter cookies alone. Or she could make 8 batches of chocolate chip cookies alone. This means: It can't be C because she doesn't even have enough ingredients to make 22 batches of chocolate chip. It also can't be D because there's not enough ingredients for 28 batches of peanut butter or 12 chocolate chip.

to make 4 batches of PB:

[tex](4)\frac{3}{4}=3[/tex] cups of butter needed, and 4(2) = 8 cups flour needed.

so now she'd have 6 cups butter and 18 cups flour leftover.

This means, to make 6 batches CC:

3(6) = 18 cups flour, and 1(6) = 6 cups butter needed. She has enough to make 4 batches of peanut butter and 6 batches of chocolate chip.

Answer:

306=192-361xj.

Hope this helps!

Answer:

$18019.37

Step-by-step explanation:

[tex]A = 12,385(1 + \frac{0.075}{365})^{365(5)}\\[/tex]

≈ $18019.37

The surface area of the solid is 4 + 6b

The solid consist of the following shapes:

The area of the solid is:

Area = Area of square + 4 * area of triangle

This gives

Area = 2 * 2 + 4 * 0.5 * 3 * b

Evaluate

Area = 4 + 6b

Hence, the surface area of the solid is 4 + 6b

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[tex] \bold{ \underline{Solution }}[/tex]

[tex] \bold{ \underline{ \underline{Given}}}[/tex]

y = 9 feet

[tex] \bold{to \: find}[/tex]

Volume of cube

[tex] \bold {\underline{lets \: begin}}[/tex]

[tex]y \: = 9 \: feet \: [/tex]

Volume of cube= (S)³

[tex] \sqrt[3]{9} \: = \sqrt[3]{9 \times 9 \times 9} \\ \\ \sqrt[3]{9} = 729[/tex]

so,, 729 is our final answer

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Hey there!

Your formula: a * a * a or you could simply say a^3

Your equation;

9^3

= 9 * 9 * 9

= 81 * 9

= 729

Therefore, your answer should be:

729

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

Step-by-step explanation:

can you give me the answer please? I have the same question

Answer:

a=b-44y

Step-by-step explanation:

a=b-44y

Answer:

5x+2y=3 3x-2y=5

7xy=3 xy=5

7xy+xy=3+5

6xy=8

Step-by-step explanation:

it's are the answers

Answer:

1/2 - 1/8= 4/8 - 1/8= 3/8

Step-by-step explanation:

hope this helps

Answer:

4/663.

Step-by-step explanation:

There are  4 aces and 4 2's in a pack of cards.

Prob(First drawing an Ace) = 4/52 = 1/13.

After drawing this card there are now 51 cards left, so:

Prob(Next drawing a 2) = 4/51.

Required probability

= 1/13 * 4/51

=  4/663

Answer:

First, we need to keep in mind that there are 52 cards in a deck.
Second, we need the probability of getting an ace.
[tex]\frac{4}{52\\}[/tex] = [tex]\frac{1}{13}[/tex]
Now that that card is taken out of the deck, we need to subtract that card from the total amount of cards. Now there will be 51 cards.
Next, we need to find the probability of getting a 2. Like the Ace, there 4 of them.
So,
[tex]\frac{4}{51}[/tex]
Now, we multiply both of the probabilities.
[tex]\frac{1}{13} * \frac{4}{51} = \frac{4}{663}[/tex]

Since we cannot Reduce, There is your answer!

[tex]\frac{4}{663}[/tex]

∫Maybe·Kuro∫

Answer:

it is triangle DEF, base on my own understanding

4, 3 , 7

To see if your three sides will form a triangle, add the two short sides and compare with the long side. If the two short sides are longer than the long side you have a triangle.

A right triangle is a triangle with one 90-degree angle.

Answer:

The reflection over the y-axis means that we just multiply the x-value of the coordinates by -1.  So we take (4, 0) and get the x-value of 4 and multiply it by -1 which gives us (-4, 0) which is option C.

Answer:

21

Step-by-step explanation:

Answer: A. 21%

No equation

Step-by-step explanation:

it is really simple.

first of all, when 2 lines intersect (and we are talking straight lines, otherwise they are not lines in the mathematical sense), the angles created are the same in both sides of the lines (just left-right mirrored).

and secondly, the sum of all angles around a single point in one side of a line must be 180°, as the line can be considered the diameter of a circle, the point the center is the circle, and all the angles on one side are a half-circle.

so,

angle 3 = 37°

that means

angle 1 = 37° too

angle 2 is supplementary to e.g angle 3 (that means they both add up to 180° as explained above).

angle 2 = 180 - 37 = 143°

and angle 4 = 143° too

Answer:

interest rate= interest earned multiply 100% then divide by the amount and time

R=I/Pt

I=96.60$, P=1200$, t=42/12=3.5

R= 96.60×100%/1200×3.5

=2.3%