A train is 1000 metres long. It is travelling at a constant speed, and approaches a
tunnel that is 3000 metres long. From the time that the last car on the train has
completely entered the tunnel until the time when the front of the train emerges
from the other end 30 seconds pass.
Determine the speed of the train, in kilometres per hour.

Answer: 100

Step-by-step explanation:

Answer:

9x^2-9x-18=0

9x+2=11x-9x-18=0

9x+2=21x-18=0

9x+2=3x-3^=0

Answer:

Step-by-step explanation:

Formula

[tex]\frac{-b +/- \sqrt{b^2 - 4ac} }{2a}[/tex]

Givens

a = 9

b = - 9

c = -18

Solution

[tex]\frac{- (-9) +/- \sqrt{(-9)^2 - 4*9*(-18)} }{2*9}\\\\\frac{9 +/- \sqrt{81 + 4*9*18} }{18} \\\\\frac{9 +/- \sqrt{ 81 + 288} }{18}\\\\[/tex]

9 +/- √369

=============

      18

9 +/- 3*√41

==========

      18

x = 9 +/- 19.209

     =========

        18

x = 1.567

or

x = -.567

Considering the definition of an inequality, the number must be less than 12.

An inequality is the existing inequality between two algebraic expressions, connected through the signs:

An inequality contains one or more unknown values ​​called unknowns, in addition to certain known data.

Solving an inequality consists of finding all the values ​​of the unknown for which the inequality relation holds.

In this case, you know that the difference of a number and 4 is no more than 8.

Being "x" the number you want to know, and considering that the difference is the difference between two numbers or expressions, the inequality that expresses the previous relationship is

x - 4 < 8

Solving:

x < 8 +4

x < 12

Finally, the number must be less than 12.

Learn more about inequality:

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Answer:

This line is aray because it has a beginning and it has no end

Answer:

25

Step-by-step explanation:

Answer:

i don't know sorry but good luck finding your answer from someone

Step-by-step explanation:

good luck

Answer:

k prime is (1,-5)

Step-by-step explanation:

Answer:

Please check explanations

Step-by-step explanation:

An example of a non-linear equation is that of a quadratic function

We can have this as;

y = x^2 + 3x + 3

Why is it non-linear?

Generally, we have the equation of a linear model as;

y = mx + b

where m represents the slope and b is the y-intercept

The written quadratic equation can not be written in this form

Hence, we know by this that it is not a linear equation

Answer:

y=x2; if you graph

it, is not a line.

Answer:

$13,500

Step-by-step explanation:

12,000

1,500

----------

13,500

Answer: 1  9/10

Step-by-step explanation:

1  1/2 +2/5.

First turn the first fraction into a fraction with no whole number= 3/2 Now find the common denominator which s 10. Multiply each denominator with a number to make it ten. What ever you do to the bottom you do to the top, so multiply the numerator as well.

3/2 x 5 = 15/10

2/5 x 2 = 4/10

Now add the 2 fractions together!

15/10 + 4/10 = 19/10

19/10 simplified is  1 9/10

Answer:

72

Step-by-step explanation:

The estimation of total counters in bag p is 72.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

The total number of counters is p.

Let's say the number of nonyellow counters is x

Then,

p = 12 + x

Now,

By taking 30 counters 5 were yellow

So,

Fraction of 5 out of 30 ⇒5/30 = 1/6

So since 1/6 fraction of yellow counters is taken it means x counters will also be taken by the same fraction.

So,

1/6 of x ⇒ x/6

So,

5 + (1/6)x = 30

x = 60

So,

p = 12 + 60 = 72

Hence "The estimation of total counters in bag p is 72".

For more about the equation,

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#SPJ2

Answer: (4.5 , 6.5)

-11 + 20 / 2 = 4.5

14 + (-1) / 2 = 6.5

Answer:

vertically opposite angles

Step-by-step explanation:

Answer: 330

Step-by-step explanation:

325

3 is in the 100s place = 300

2 is in the tens place= 20

5 is in the 1s place= 5

325 rounded to the nearest ten is 330

cause your adding the 5 to the 2 round it up and you get 330

its kind of like if you add the 2 and 5 you get 7 which mean 327 but is it closer to 330 or 320

your welcome

Answer:

plot a point at (1,2) move your pencil up one and right 3 and put a point. repeat until you get a long enough line

Step-by-step explanation:

You might have already finished this but good luck!

Answer:

mmjnzsdkjsnfjsn jkxxvcd

Step-by-step explanation:

,mcnb m,cfv bmn vjmkn cvfjk

Answer:

It is 50/28 but simplified is 25/14, correct answer...

Answer:

The triangles are similar by AAA

Step-by-step explanation:

Here, we want to show that the two triangles are equal

for each of the two, we can see that we have two angles

mathematically, the sum of the angles in a triangle is 180

For the bigger one,

The last angle will be;

180-85 -50 = 45

For the smaller one;

the last angle will be;

180 - 85 - 45 = 50

The angles in the bigger are 45,50 and 85

The angles in the smaller are 45,50 and 85

This shows that both triangles are completely congruent by AAA (angle-angle-angle)

Answer:

12

Step-by-step explanation:

Answer:

your question is poorly written below is the properly written question

Find a coterminal Angle with measure θ  ( -22° ) such that  0° ≤ θ < 360°

answer: 338°

Step-by-step explanation:

To find a coterminal angle of a given angle that falls between 0° and 360° we have to express the angle in terms of 360°

Hence express  -22° in terms of 360°

-22°  = -360° + 338°

hence the coterminal angle = 338°

Answer:

1.) A diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints lie on the circle.

2.) 8

3.) 201 square inches

Step-by-step explanation:

Answer:

1 x 10^3

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Come onnnn you even got the formula with it how ez can u get it. Get diameter which is 2 times 2 then multiply by pie or 3.14159.

Answer:

option B

Step-by-step explanation:

option B is the correct answer of this question.

plz mark my answer as brainlist plzzzz.

hope this will be helpful to you.

Answer:

41%

Step-by-step explanation:

35/85=0.411

0.411x100=

41%

Answer:

[tex]n = \frac{4}{3}c[/tex]

[tex]c:0\ \ \ \frac{3}{4}\ \ \ \frac{3}{2}\ \ \ \frac{9}{4}\ \ \ 3\ \ \ 3\frac{3}{4}\\n:0\ \ \ \ 1\ \ \ 2\ \ \ 3\ \ \ \ 4\ \ \ \ 5[/tex]

Step-by-step explanation:

Given

See attachment for complete question

Required

Complete the double number line

The given double number lines represent a linear function between cups of flour (c) and number of batched (n)

Pick any two pairs:

[tex](c_1,n_1) = (\frac{3}{4},1)[/tex]

[tex](c_2,n_2) = (3\frac{3}{4},5)[/tex]

First, calculate the rate of change (i.e. slope, m):

[tex]m = \frac{n_2 - n_1}{c_2 - c_1}[/tex]

[tex]m = \frac{5-1}{3\frac{3}{4} - \frac{3}{4}}[/tex]

[tex]m = \frac{4}{3}[/tex]

So: the equation is:

[tex]n = m(c - c_1) + n_1[/tex]

This gives:

[tex]n = \frac{4}{3}(c - \frac{3}{4}) + 1[/tex]

[tex]n = \frac{4}{3}c - 1 + 1[/tex]

[tex]n = \frac{4}{3}c[/tex]

So, the above represents the relationship between n and c.

To complete the table

When [tex]n = 2[/tex]

Substitute [tex]n = 2[/tex] in: [tex]n = \frac{4}{3}c[/tex]

[tex]2 = \frac{4}{3}c[/tex]

Make c the subject

[tex]c = \frac{3*2}{4}[/tex]

[tex]c = \frac{3}{2}[/tex]

When [tex]n = 3[/tex]

Substitute [tex]n = 3[/tex] in: [tex]n = \frac{4}{3}c[/tex]

[tex]3 = \frac{4}{3} * c[/tex]

Make c the subject

[tex]c = \frac{3*3}{4}[/tex]

[tex]c = \frac{9}{4}[/tex]

When [tex]c=3[/tex]

Substitute [tex]c=3[/tex] in: [tex]n = \frac{4}{3}c[/tex]

[tex]n = \frac{4}{3} * 3[/tex]

[tex]n = 4[/tex]

So, the complete table is:

[tex]c:0\ \ \ \frac{3}{4}\ \ \ \frac{3}{2}\ \ \ \frac{9}{4}\ \ \ 3\ \ \ 3\frac{3}{4}\\n:0\ \ \ \ 1\ \ \ 2\ \ \ 3\ \ \ \ 4\ \ \ \ 5[/tex]

Answer:

MK KL JK All are congruent with each other due to the mid point splitting the segments in ML in half.

Step-by-step explanation:

Answer:

It's number 12

Step-by-step explanation:

I just did the math.

Answer:

Step-by-step explanation:

when x = 7 and y = - 2

3x + 4y

= 3 * 7 + 4 * (-2)

= 21 - 8

= 13

Hope it helps :)

Answer:

Neither; they are not parallel, nor perpendicular.