What other methods could be used to ensure parallel rails (any method, not just the geometry kinds)?

Answer:

[tex]\frac{x}{y} = \left(\frac{x}{y} \right)\cdot 1 = \left(\frac{x}{y}\right)\cdot \left(\frac{m}{m} \right) = \frac{\frac{x}{m} }{\frac{y}{m} }[/tex]

Step-by-step explanation:

The common divisor is the greatest natural number so that two or more natural numbers have no remainder. If [tex]m[/tex] is a common divisor of [tex]x[/tex] and [tex]y[/tex], then [tex]p = \frac{x}{m}[/tex] and [tex]q = \frac{y}{m}[/tex], where [tex]p[/tex], [tex]q[/tex] [tex]\in \mathbb{Z}[/tex]. Then, we have the following expression:

[tex]\frac{x}{y} = \left(\frac{x}{y} \right)\cdot 1 = \left(\frac{x}{y}\right)\cdot \left(\frac{m}{m} \right) = \frac{\frac{x}{m} }{\frac{y}{m} }[/tex]

Answer:

A) -2

Step-by-step explanation:

Plus 4 in place of x

f(x) = -3x+10

f(4) = -3*4+10

f(4) =-12+10

f(4)=-2

Answer:

4 lawns

Step-by-step explanation:

$145=$65+N*$20

where N= no. of lawns he needs to now

$80=$20N

N=4

Answer:

-3 1/4 + 4 3/4= 1 1/2

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

let 'x' = number

x/2 - 2 = 10

add 2 to each side to get:

x/2 = 12

cross-multiply to get:

x = 24

Answer:

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

Explanation:

x = the number you think of

x/2 = the result after taking half of that number

(x/2) - 2 = subtract 2 from the previous result

(x/2) - 2 = 10 is the equation to solve

Solving said equation gets us...

(x/2) - 2 = 10

x/2 = 10+2 ... adding 2 to both sides

x/2 = 12

x = 12*2 ..... multiplying both sides by 2

x = 24

Notice how we basically undo everything applied to x. First we divided by 2, then we subtracted 2. So we follow that order in reverse to undo the "minus 2" (ie add 2 to both sides). Then we undo the division to multiply both sides by 2 to end up with the answer x = 24

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

Let's check that answer:

x = 24

x/2 = 24/2 = 12 ... result after taking half of x

(x/2) - 2 = (12)-2 = 10 ... result after subtracting two

We end up with 10 as your teacher mentioned, so it confirms that x = 24 is the answer.

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

Here's another way to check:

(x/2) - 2 = 10

(24/2) - 2 = 10

(12) - 2 = 10

10 = 10

We end up with the same thing on both sides, so x = 24 is confirmed.

Answer:

option C

Step-by-step explanation:

[tex](a+b)(a+b) = a^2 + 2ab + b^2[/tex]

Answer:

c

Step-by-step explanation:

Answer:

I say electrons

Step-by-step explanation:

It has more electrons than protons so it becomes - charged

Answer: 8

Step-by-step explanation:

Given

Lian has [tex]\$1.00[/tex] and she has twice as many dimes as nickels

Suppose she has [tex]x[/tex] nickels

So, the number of dimes is [tex]2x[/tex]

Nickel is equivalent to 5 cents and dime is equivalent to 10 cent

[tex]\therefore \ x(0.05)+2x(0.1)=1\\\Rightarrow 0.05x+0.2x=1\\\Rightarrow 0.25x=1\\\Rightarrow x=4[/tex]

Therefore she has 8 dimes with her.

Answer: 60 students i think

Answer:

Negative.

Step-by-step explanation:

You can see the line is declining. The y value is decreasing.

Always read the line from left to right, you’ll easily see it’s a negative slope.

Answer:

It's negative

Step-by-step explanation:

It's going from top to bottom so it's gotta be negative

Answer:

I believe the answer is B and C

Step-by-step explanation:

Answer:

15 and - 26

Step-by-step explanation:

let x and y be the 2 numbers , x > y

x + y = - 11 → (1)

x - y = 41 → (2)

Add the 2 equations term by term to eliminate y

2x = 30 ( divide both sides by 2 )

x = 15

Substitute x = 15 into either of the 2 equations and solve for y

Substituting into (1)

15 + y = - 11 ( subtract 15 from both sides )

y = - 26

The 2 numbers are 15 and - 26

Answer:

.8

Step-by-step explanation:

Answer:

26 papers

Step-by-step explanation:

Well this is pretty straight forward

if he can grade 6 papers an hour

we just multiply 6 by 7 to get how many papers he graded in 7 hours

6*7= 42

now we subtract 42 from 68 to get how many papers are left to be graded

68-42=26

26 papers are left

Answer:

[tex]D) 15[/tex]

Step-by-step explanation:

[tex]39^{2}=36^{2} +PT^{2}[/tex]

[tex]PT^2=39^2-36^2[/tex]

[tex]PT=\sqrt{39^2-36^2}[/tex]

[tex]PT=15[/tex]

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

hope it helps...

have a great day!!

Answer: [tex]103,108[/tex]

Step-by-step explanation:

Given

There are total of 211 coins

The worth of the coins is [tex]\$37.30[/tex]

Suppose there are x dimes and y quarters

A dime is equivalent to 10 cents and quarter is equivalent to 25 cents

[tex]\therefore x+y=211\quad \ldots(i)\\\Rightarrow 0.1x+0.25y=37.30\\\Rightarrow x+2.5y=373\quad \ldots(ii)[/tex]

Solving (i) and (ii) we get

[tex]x=103,y=108[/tex]

Therefore, student collects 103 dimes and 108 quarters.

Answer:

20% coupon

Step-by-step explanation:

20% of 32.50 = 6.5

32.50 - 6.50 = 26

32.50 - 5 = 27.50

26 is less than 27.50, therefore, the 20% off coupon should be used to save him $1.50.

Answer:

will for here to win a prize from a toss n turn or another game would be impossible first of all she has to get  it a heads if she gets it a head that's good now the next thing she has to land it on a even number if she passes that she gets a prize but it is impossible for here to get a prize in a 1 out of 5 flip chances

Step-by-step explanation:

Answer:

i need points sorry

Step-by-step explanation:

Answer:

Goes up and to the left

Step-by-step explanation:

If the value of a is negative, the line is going down and to the left.

The general equation of a straight line is -

y = mx + c

where -

{m} is the slope of the line.

{c} is the {y} - intercept.

Given is that the equation {y} = ax describes the graph of a line.

It is asked to find that if the value of {a} is negative, then what would be the orientation of the line.

The general equation of a straight line is -

y = mx + c

Here {m} denotes the unit rate. Unit rate is the rate at which the value of {y} changes per unit change in the value of {x}. So, we can write that the orientation of the line is going down and to the left.

Therefore, if the value of a is negative, the line is going down and to the left.

To solve more questions on straight line, visit the link-

https://brainly.com/question/29223887

#SPJ7

Answer:

the answer is in the picture

Step-by-step explanation:

To write the equation of a line in slope-intercept form, there are two things we need: the y-intercept and the slope.

To find the y-intercept using a graph is relatively easy. We are looking to see where the line crosses the y-axis. In this case, that is at the point (0,4).

To find the slope, we need to first find two points that are on the line. I will be using the points (0,4) and (2,5), though you can use any two that you would like. Then, we'll need to use the slope formula (y2 - y1 / x2 - x1).

(5 - 4) / (2 - 0)

1 / 2 = slope

Now that we have the slope and y-intercept, we can simply plug those values into slope intercept form, y = mx + b, where m is the slope and b is the y-intercept.

Therefore, our equation of the line in fully simplified slope-intercept form is y = 1/2 x + 4.

Hope this helps!! :)

Answer:

y = 1/2x + 4

Step-by-step explanation:

Slope-intercept form is: y = mx + b

The slope is 1/2 (mx)

Up 1, Over 2, which is the space between each dot.

The y-intercept is 4 (b)

The point where the line crosses the y-axis.

y = 1/2x + 4

Hope this is correct for you!

Answer:

For question 2 :

1 <

2>

3=

Step-by-step explanation:

Basically those triangle arrow things are called 'greater than signs'

So , you need to say which number is bigger than the other or if they are equal. For example :

3>1

1<7

1=1

Answer:

2. 786.20 is greater than 476.2 593.99 is greater than 59.399 and the last one are equal to each other 3. 12 quarts of flour 4. Go up three and to the right three

Step-by-step explanation:

Hope this helps you out

Answer:

3/10

Step-by-step explanation:

From the question, we have the total number of sampled students as 30

9 students said 7 was their favorite

So the experimental probability that we have 7 picked as the favorite number will be the number of respondents who chose 7 as their favorite divided by the total number of respondents

We have this as;

9/30 = 3/10

Answer:

hiiii i would love to answer yoyr question all you have to do is the bottom line which is x from the 1 count all the way until 5 and that is your answer for the first one and then for the y from the 4 count all the way until the 13 and that will give you your answer so ( , )

Answer:

-7. is the answer so tick it mark me brainlist

Answer:

1, -1

Step-by-step explanation:

just took the test

Answer:

[tex] \large{ \tt{♕ \: EXPLANATION }}: [/tex]

[tex] \boxed{ \large{ \tt{✺ \: PERIMETER \: OF \: SQUARE \: ( \: P \: )= 4l}}}[/tex]

- Plug the value of length ( L ) of square :

[tex] \large{ \tt{↬P = 4(4x - 8)}}[/tex]

- Distribute 4 through the parantheses :

[tex] \large{ \tt{↬P = 4 \times 4x - 4 \times 8}}[/tex]

[tex] \large{ \boxed{ \tt{↬P = 16x - 32 \: units}}}[/tex]

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Answer:

x = 16

Step-by-step explanation:

Angles in a triangle add up to equal 180

Hence, 9x - 8 + x + 10 + x + 2 = 180

                              ^ ( note that we just created an equation that we can use

                                   to solve for x )

We now solve for x using the equation created.

9x - 8 + x + 10 + x + 2 = 180  

step 1 combine like terms

9x + x + x = 11x

-8 + 10 + 2 = 4

we now have 11x + 4 = 180

step 2 subtract 4 from each side

180 - 4 = 176

4 - 4 cancels out

we now have 11x = 176

step 3 divide each side by 11

176 / 11= 16

11x / 11 = x

we're left with x = 16

Answer:

the Midian is 9

mode is 3

mean is 6

it ranges from 3 to 12