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Question 1

a) Substitute the \(x-y\)  as \(3\)

 \(5 \cdot 3 = \boxed{15}\)

b) \(2(x-y)=2 \cdot 3=\boxed{6}\)

c) Multiply \(x-y=3\) by \(-1\) to get \(-x+y=-3\) which equals \(y-x=\boxed{-3}\)

1. The line is 2x - 3y = -3, so A + B + C = 2 + (-3) + (-3) = -4.

x^2  + y^2  = 25             x + 2  = 2y  ⇒  x  = 2y - 2

Sub the second equation into the first  and we have that

(2y - 2)^2  + y^2  =  25       expand

4y^2 - 8y + 4  + y^2  = 25  

5y^2 - 8y - 21  =  0      factor as

(5y + 7) (y - 3)  =  0

Setting both factors to 0  and solving for y  produces   y  = -7/5   and y  = 3

And when y = -7/5, x  = 2(-7/5) - 2  = -14/5 - 10/5  = -24/5

And when y  =  3  ,   x  =2(3) - 2  =  4

So....the intersecton points are ( -24/5, -7/5)  and (4, 3)

There are:  135  153  159  195  315  351  357  375  513  519  531  537  573  579  591  597  735  753  759  795  915  951  957  975  Total =  24 such numbers.

What fraction of all 3-digit numbers is 24? Is that what you mean? If so, then: 24 / 900=2 / 75

2.4 = 2 4/10

= 2 2/5

This is due today and I cant figure it out plz help me ASAP!

Your question isn't clear !. Is it: n / [n^3 - n] or:[n^3 - n] / n ??

Same hereeee

The distance between the towns  must  be  (3.5) S =  (7/2)S  where  S is the speed that each person travels

And 40 min  = 2/3  hr

Call  T  the time (in hrs)  it  takes  for the first person to travel to meet the second

But  the second person  has   traveled  40 mintues less =  [ T - (2/3)] hrs  when they meet

So...we  have this equation

Distance  traveled by first person +  Distance traveled by second person  = total distance  between towns

So  we  have

S (T)  + S [ T - 2/3]   = (7/2)S       divide through by S

T  + T   - 2/3  =  7/2      

2T  - 2/3  =    7/2       Multiply through by 6

12T  - 4  = 21       add 4 to both sides

12T  = 25        divide both sides by  12

T  =  25/12  hrs  =   2 + 1/12  hrs  =   2 hr 5 min

They  will pass at   [ 12  + 2 hr 5 min ] =      2:05  PM

Well explained I gave you a point for that!

Mainly, but science and physics questions are welcome as long as you mark it off-topic!

x = 437

LCM of 437 and 391 = 7429
GCD of 437 and 391 = 23
 

Define a "clear" explanation. Many people including CPhill and Alan have answered this question already in multiple posts. If their answer isnt clear enough then what is?!?

Use the message board

Probability of rolling a 2 or 4 on the first roll: 1/3

Probability of rolling a 5 on the second roll: 1/6

Total probability = 1/3 * 1/6 = 1/18 :D

Yeah..I understand that its just the way hugo worded it.

The angles of a triangle always sum to 180 degrees.

So, we now that x + x + 10 + 3x - 5 = 180

Which means: 5x +  5 = 180

Which makes 5x = 175

And x = 175/5 = 35 :D

I think hugo means that the person who asked the question give either +3 or -3 instead of +1 or -1. For example if I (the person who posted this question clicks the +1 or -1, I will give +3 or -3 instead.

I was referring to hugo's statement above.

its wrong... :(

Which answer is correct?

I agree what is the question being asked?

Can you explain how you got this answer? I'm super confused. We had done one in class that was easier because it was worded slightly different and I could just do y2-y1 over x2-x1. 

ex. f(2)=5 and f(2.005)=5.012. well you would just subtract 5.012-5 over 2.005-2 which gives you 2.4.

The problem I posted I was stuck staring at versus the one above.