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

Answers

Answer 1

If no train has more than 25 seats. Then the number of cars in the first, second, and third train will be 17, 18, and 20 respectively.

What is division?

Division means the separation of something into different parts, sharing of something among different people, places, etc.

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.

If no train has more than 25 seats.

Then the number of the cars on each train will be

Let x, y, and z be the number of the cars in the first, second, and third train.

Then we have

x = 418 / 25

x = 16.75

x ≅ 17

y = 456 / 25

y = 18.24

y ≅ 18

z = 294 / 25

z = 19.76

z ≅ 20

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Answer 2

Answer:

11 cars in the 1st train, 12 cars in the 2nd train and 13 cars in the 3rd train

Step-by-step explanation:

There is a difference of 38 between the numbers 418, 456 and 494.

[tex]418/38=11\\456/38=12\\494/38=13[/tex]

Trust me, this is 100% the correct answer!

hope this helps!


Related Questions

Solve for the point of intersection using elimination.
5x+2y=3 3x-2y=5
please help me!

Answers

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

Given that the statements

A
B
C


D
E
F
and

D
E
F


J
K
L
are true, which statement is a valid conclusion?

Answers

Answer:

it is triangle DEF, base on my own understanding

A tank is 1/2 filled with water. some of the water is then poured into 8 small containers each with a capacity of 27 cubic centimeters. the tank is now 1.4 full. what is the capacity of the tank.

Answers

The capacity of the tank is 240 cm³.

What is capacity?

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:

V = (8×27)/0.9............... Equation 1

Where:

V = Volume or capacity of the tank

Solve for V

V = 240 cm³.

Hence, the capacity of the tank is 240 cm³.

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A circle has a radius of \blue{5}5start color #6495ed, 5, end color #6495ed. An arc in this circle has a central angle of 162^\circ162

162, degrees.
What is the length of the arc?
Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and enter your answer as a decimal.

answer is 14.14

Answers

Answer: 9/2π

20 / 9 = 10π  s

20 /9  *10π= s

2 /9  π = s

please help me I need assistance

Answers

[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]

Does anybody know this? Need it done soon. Find the surface area. Use 3.14 for pi. Do not round your answer

Answers

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

What is m∠Q? Round only your final answer to the nearest tenth. 24.1º 30.8º 59.2º 125.1º

Answers

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

What is the triangle?

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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Tom is making a rolling pin like the one shown out of maple hardwood.
The handles are 4-inch long cylinders with a diameter of 1 inch. The main body of the rolling pin has a diameter of 3 inches and is 14 inches
long. What is the total amount of wood needed to build the rolling pin? Round to the nearest tenth.
in³

Answers

Answer:

Step-by-step explanation:

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

!PLEASE HELP!
Find the length of the missing side. Round your answer to the nearest tenth.

A) 2.4
B) 4.6
C) 5.4
D) 3.7

Answers

[tex]\bold{ANSWER:}[/tex]
C) 5.4

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

PLEASE HELP ASAP TYSM

Answers

Answer:

306=192-361xj.

Hope this helps!

Help this is due today-

Answers

[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

▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃

if a number is multiplied by itself 3 then the obtained number is called cube of given number. x × x × x = x³ Thursday cube of a number is that number raised to power 3.volume of cube is side cube.

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:)

Solve 11x 2y 2 + a = b for a

Answers

Answer:

a=b-44y

Step-by-step explanation:

a=b-44y

On the map at the right, the public swimming pool can be represented by the point (-6, 5) and Tim’s house can be represented by the point (1, 5). If each unit on the graph represents 0.5 miles, how many miles is Tim’s house from the pool

Answers

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

How to find the distance?

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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Please help! Giving brainliest!!!!
You deposit $1200 in an account that earns simple interest. After 42 months, the account earns $96.60 in interest. What is the annual interest rate
to the nearest tenth of a percent?
A. 0.8%
O B.2.3%
C.35.0%
D. 1.0%

Answers

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%

Two cards are drawn from a deck of 52 playing cards. The first card is NOT replaced into the deck before the 2nd card is drawn. What is the probability of first drawing an Ace, then a Two?

Answers

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∫

25. Find the area of the trapezoid. Leave your answer in simplest radical form. The figure is not
drawn to scale.
12 cm
6 cm
45
2 cm
084 cm²
96 cm²
72 cm²
108 cm²

Answers

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

What is the Area of a Trapezoid?

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

Given the following:

a = 12 cmb = 12 + 2 + (6/tan 45) = 20 cmh = 6 cm

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

Area of the trapezoid = 96 cm²

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Which 3 lengths would in fact make a right triangle?

Answers

4, 3 , 7

How Can It Be Said That 3 Lengths Would Make A Right Triangle?

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.

What is a Right Triangle?

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

Can someone explain scientific notation to me? And also another question. Is 9.725 x 10^6 a scientific notation? What about 9.7250 x 10^6

Answers

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.

Can someone please help me with my math

Answers

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.

Here are some of the numbers that were picked out of the bag at bingo evening:

20 32 95 16 18 31 24 17

36. Which of these numbers is a square number?
37-38. Which of these numbers are prime numbers?

Answers

16 is a square number. 4x4=16.
31 and 17 are prime numbers because only 1 and that number can be multiplied to create that number.

Please help me mi amor !!! I really need help

Answers

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

0.78 / 10^6

please someone answer I need this answer soon

Answers

Answer:

0.00000078 is the answer to the question

1) Describe the steps in creating a box plot. What do you have to find to complete a box plot graph? (at least 5 steps) ​

Answers

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.

A party favor is made up of four equal solids and is constructed from paper. each of the four solids is open at the end. the net represents one of the solids. a net of a solid has a square base with side lengths of 2 inches, and 4 triangular sides with a height of 3 inches. b is the base, and c, d, and a are the triangular sides. how much paper is needed to make a party favor? to calculate the surface area, you would exclude the area of face . one of the four pyramids has a surface area of in.2. one party favor, which consists of four of the equal solids, has a surface area of in.2.

Answers

The surface area of the solid is 4 + 6b

How to determine the area of the solid?

The solid consist of the following shapes:

1 square of length 2 inches4 triangles of height 3 inches and base b

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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solve for x in this proportion.

3/63=16/x

Answers

Answer:

3=6

63=x

x×3 =63×3

x×3= 189

3 3

x=63.

HOPE IT HELPS,BRAINLIEST PLEASE

PLEASE HELP ME IM SO CONFUSED!!! i need answers 10-12

Answers

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!

please help me with this!

Answers

Answer:

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

Step-by-step explanation:

hope this helps

9. Use the​ compound-interest formula to find the account balance​ A, where P is​ principal, r is interest​ rate, n is number of compounding periods per​ year, t is​ time, in​ years, and A is account balance.

Answers

Answer:

$18019.37

Step-by-step explanation:

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

≈ $18019.37

Mark brainlist to whoever answers first

Answers

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.

A random sample of students at North High School were polled on whether they prefer a 15-minute break between classes in the morning or in the afternoon. The results are shown in the frequency table.

A 4-column table with 4 rows. The first column has no label with entries 10th, 11th, 12th, total. The second column is labeled morning with entries 21, 16, 19, 56. The third column is labeled afternoon with entries 17, 25, 20, 62. The fourth column is labeled total with entries 38, 41, 39, 118.
What is the joint relative frequency for 11th graders who want the break in the afternoon? Round to the nearest percent.

21%
25%
40%
61%

Answers

Answer:

21

Step-by-step explanation:

Answer: A. 21%

No equation

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