A train leaves New Delhi at 4:00 p.m. and reaches Lucknow at midnight. Its speed is 55km/h. What is the distance between Delhi and Lucknow?

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[tex](6x + 13) + (3x - 4) = 180[/tex]

[tex]9x + 9 = 180[/tex]

Subtract sides 9

[tex]9x + 9 - 9 = 180 - 9[/tex]

[tex]9x = 171[/tex]

Divide sides by 9

[tex] \frac{9}{9} x = \frac{171}{9} \\ [/tex]

[tex]x = 19[/tex]

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Answer:

Because it helps children and other people understand how the number system works. if you develop number sense you will have a range of different maths strategies like addition subtraction

Answer:

v=-2

Step-by-step explanation:

if v = -2, 8 x -2= -16

Answer: I can help with number 10, and that answer is 105*

Step-by-step explanation: 10's x is paralell to the known angle, so the answer for x is equal to the known angle.

Answer:

11.29 left

Step-by-step explanation:

30 - 5 = 25 - 6.50 = 18.50 - 7.21= 11.29

Answer:

He would have $11. 29 left

Step-by-step explanation:

30-5 =25

25. 00-6.50 = 18.50

18. 50-7.21 = 11.29

Answer:

4:15, 4:3, 1:5

Step-by-step explanation:

Part A:

There are 4 red rings and 15 total rings. So, the ratio would be 4 red rings to 15 total rings.

4:15

Part B:

As previously mentioned, there are 4 red rings. There are 3 blue rings. The ratio would be 4 red rings to 3 blue rings.

4:3

Part C:

There are 3 blue rings and 15 total rings. The ratio is 3 blue rings to 15 total rings. This can simplify to 1:5.

3:15 = 3/3:15/3 = 1:5

Hope this helps.

XY< 10

if you get too confused whether the x is a variable or a sign, use the * .

Answer:

No

Step-by-step explanation:

The 4.5 cups of peanuts should be 4

Answer:

no entiendo la version de esa mathematica

Step-by-step explanation:

Answer:

i think it is 26.

Step-by-step explanation:

180-134=46

180-160=20 so

ABC (46)- XYZ (20)=26.

Answer:

17

Step-by-step explanation:

3(2)^2 - 5(-1)^3

3(4) - 5(-1)

12 + 5

17

Answer:A

Step-by-step explanation:

Answer:

[tex]6.21\times 10^{-5}\ \text{light years}[/tex]

Step-by-step explanation:

The distance light travels in one year is known as a light year.

[tex]1\ \text{light year}=5.87\times 10^{12}\ \text{miles}[/tex]

The closest that Earth ever gets to Jupiter is [tex]3.65\times 10^8\ \text{miles}[/tex]

[tex]3.65\times 10^8\ \text{miles}=\dfrac{1}{5.87\times 10^{12}}\times 3.65\times 10^8\ \text{light years}\\\\=6.21\times 10^{-5}\ \text{light years}[/tex]

Hence, the distance it will take light to travel from Earth to Jupiter at this distance is [tex]6.21\times 10^{-5}\ \text{light years}[/tex]

Answer:

B: A reflection across line m

Step-by-step explanation:

Answer:

A reflection across line m

Step-by-step explanation:

The answer above is correct.

Answer:

Points B and C

Step-by-step explanation:

Based on the information provided I have made a visual representation of the number line in the attached picture. Each of these points has a numerical value associated with it. Which would be the following ...

Therefore based on the numerical value of these points the two that are opposites are point B and C. They both have a value of 0.5 on each end of the number line, one being negative while the other is a positive, thus opposites.

Answer:

Sample Response: Change the improper fraction to the mixed number 21

2

. There are two complete wholes and a half left over. Plot 21

2

on the number line halfway between 2 and 3, or Point D.

Step-by-step explanation:

30=8+4(z-2)

Distribute 4 through the parentheses

30=8+4z-8

Eliminate the opposites

30=4z

Swap the sides of the equation

4z=30

Divide both sides of the equation by 4

4z÷4=30÷4

Any expression divided by itself equals 1

z=30÷4

or write the division as a fraction

z=30/4

copy the numerator and denominator of the fraction

30=2x3x5

4=2x2

Write the prime factorization of 30

Write the prime factorization of 4

30=2          x3x5

4=2x2

    2

Line up the common factors in both lists

Copy the common factors

Since there is only one common factor, the common factor 2 is also the greatest common factor

30÷2/4÷2

  2

Divide 30 and 4 by the greatest common factor 2

15/4÷2

Divide the numbers in the numerator

15/2

Divide the numbers in the denominator

15/2

The simplified expression is 15/2

That's it. hope it wasn't too hard to understand?

Answer:

0.07

Step-by-step explanation:

The probability that the 6th new visitor is the first to create an account is approximately 0.059.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Here,
The probability of success (creating an account) on any given trial is p = 0.10, and the probability of failure (not creating an account) is q = 1 - p = 0.90.

The probability that the first success occurs on the 6th trial is then given by:

P(V = 6) = (q⁵) * p

where q⁵ is the probability of having 5 failures in a row (i.e., the first 5 visitors not creating an account), and p is the probability of the 6th visitor creating an account.

Plugging in the values,

P(V = 6) = (0.90⁵) * 0.10 = 0.059049

Rounding to the nearest thousandth,

P(V = 6) ≈ 0.059

Therefore, the probability that the 6th new visitor is the first to create an account is approximately 0.059.

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Answer:

2√5

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

10x2=20

20x2=40

Answer:

This is a linear equation in slope-intercept form.

$49.73

because you would multiply the length and width of the fence then multiply by the price.

3.4 x 6.5 = 22.1

22.1 x 2.25 = 49.725

but you would round because you are dealing with money

Answer:

10/19

Step-by-step explanation:

Answer:

-19/10

Step-by-step explanation:

10x= - 19

divide 10 by each side to get -1.9

convert -1.9 to a fraction -1u9/10

then convert it to an improper fraction -19/10

hope this helps;)

Answer:

c

Step-by-step explanation:

Answer:

There would be 500 pages.

Answer:

The cost increases by $8.50 for each person who attends the event.

Step-by-step explanation:

The company charges an initial fee of $45.00

The cost increases by $8.50 for each person who attends the event.

The correct options are B and C

As per the given data:

The equation y = 8.50x + 45.00 can be used to predict the cost of the meals if x people attend the event.

By comparing this equation with the slope intercept form y = mx + c

slope(m) = 8.50

We can find out the initial fee charged by the company by substituting

x = 0 {zero people}

y = 8.50(0) + 45.00

y = $45.00

For increase in cost with each person attending the event:

Cost for 2 persons - Cost for 1 person

= 8.50(2) + 45.00 - [8.50(1) + 45.00]

= 8.50(2) - 8.50(1)

= $8.50

This is the slope of the line

Hence, The company charges an initial fee of $45.00 and the cost increases by $8.50 for each person who attends the event.

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Answer:

4

Step-by-step explanation:

Answer:

The slope of the line is y = -3x+4.

Answer:-6.6, 4.45, 5.8, 6 3/4

Step-by-step explanation:

Answer:

2x+x+4=3x+4

Step-by-step explanation:

Answer: X=2

Step-by-step explanation:

3x-10=-9x+14

+9x +9x

12x-10=14

+10 +10

12x=24

24/12=2

So X=2

Answer:

x=2

Step-by-step explanation:

add 10 to both sides

simplify

add 9x to both sides

simplify 3x+9x to 12x

divide both sides by 12

x=2

Answer:

[tex]440 = 2\pi {r}^{2} + 2\pi(r)10 \\ [/tex]

[tex]3960 = 2\pi {r}^{2} + 2\pi(r)h[/tex]

[tex] \frac{3960 = 2\pi {r}^{2} + 2\pi(r)h}{440 = 2\pi {r }^{2} + 2\pi(r)10 } [/tex]

[tex]9 = \frac{h}{10} [/tex]

h=90

The height of the cylinder B is 30 cm.

Given that:

Both cylinders A and B are similar. Similarity applies proportionate size which means we have

height of cylinder A : radius of cylinder A ::  height of cylinder B: radius of cylinder B

or symbolically we have:

[tex]$\frac{h_1}{r_1} = \frac{h_2}{r_2}$\\[/tex]

or we can say we have:

[tex]r_2 = h_2\times\dfrac{r_1}{h_1} \\[/tex]                    

Now it is given that Cylinder A's height [tex]h_1[/tex] is 10 cm and surface area is [tex]400\rm \;cm^2[/tex]

Thus from the formula of surface area of cylinder , we have below equation for cylinder A:

[tex]2\pi \times r_1 \times 10 = 440\\or\\r_1 = \dfrac{440}{20\pi}\\\\r_1 \approx 7 \rm\: cm\\\\\\[/tex]

Also given surface area of cylinder B is 3960 [tex]\rm cm^2[/tex], thus:

[tex]2\times \pi\times r_2 \times h_2 = 3960\\\\\2\times\pi\times (h_2\times\dfrac{r_1}{h_1})\times h_2= 3960\\\\2\times\pi\times (h_2\times\dfrac{7}{10})\times h_2 = 3960\\or\\ (h_2)^2 = \dfrac{39600}{2\times\pi\times7}\\\\or\\h_2 = 30 \rm \;cm.[/tex]

Thus height of the cylinder B is 30 cm.

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Answer:

rearrange the formula A=lw and make the width the subject of the formula

therefore to find width, the formula is w=A/l

Width = Area/Length

What is the Area of Rectangle?

Area of rectangle is the region occupied by a rectangle within its four sides or boundaries.

The area of a rectangle depends on its sides. Basically, the formula for area is equal to the product of length and breadth of the rectangle. Whereas when we speak about the perimeter of a rectangle, it is equal to the sum of all its four sides. Hence, we can say, the region enclosed by the perimeter of the rectangle is its area.

Area of rectangle = Length x Breadth(or width)

A = L*W

Given,

Length = L = 5

Width = W

Let Area = A

according to the formula of rectangle,

A = L*W

If Area and length is given,

W = A/L

Width = Area/Length = Area/5

Therefore, the equation is Width = Area/Length

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