All Answers 358108 Answers

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There are always a few genuine askers here. 

A few people that really are interested in learning.

If you mostly stay away from guests and try to remember the individual responses you will discover a few.

OldTimer is one. He is very interested in learning.  He has learned heaps since he first started posting. 

There are a few others as well.

[I am sorry I cannot recall your names at the moment but I recognize a few of you when I see you.]

It is like panning for gold.  Most of it is rubble but there are a few specks of gold.

If you have a lot of patience and you if look hard enough, you can find the gold.

You are all right of course, the bulk of askers here are only really interested in the answers.

They feel little, if any, gratitude and express even less than that. 

But, still, the tiny specks of gold are hidden within.

See https://web2.0calc.com/questions/please-help-asap_111#r1

How's about  20 Platters A and 35 Platters B.

That gets you 90 burgers, 95 hot dogs and 380 chicken wings for a cost of (20*16) + (35*20) = 320 + 700 = $1020.

There will be 10 burgers left over.

In trapezoid WXYZ, line XY is parallel to line WZ, angle WXZ=105, angle W=43, and angle Y=141. Find YXZ, in degree.

For some reason, I misunderstood this question.

The correct answer is::::              angle YXZ = 32º 

For -1 < x < 1 the two functions result in the same magnitude but have opposite sign.  For example: f(-0.5) = 0.577i and g(-0.5) = -0.577i.

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3 b  + 4 h = 19

5 b + 2 h = 20          two unknowns    two equations   solve for b and h   Multiply bottom equation by -2

-10 b -4 h = -40        add to top equation

-7b          =  -21

b = 3                            then use this value for b in oe of the equations to find h     3(3) + 4 h = 19      h = 2.50

Similarly:

rate x time = distance           or      distance/rate = time

36/(20-c) + 22/(20+c)  =3

36 (20+c)  + 22(20-c) = 3 (20+c)(20-c)

720 +36c +440-22c = 3 (400-c^2)

1160 +14c= 1200-3c^2

3c^2 +14c -40 =0          Using quadratic formula    c = 2 km/hr

x = bike accidents

.25 x = bike accidents with serious head bonks

    80 % 0f these are fatal

         .80   *  .25 x  = fatal bike accidents

               .20 x = fatal bike accidents

                    20 % of bike accidents are fatal     Don't be stupid .....or dead....wear your brain bucket !!!!!

Hmmmmmm.....   average m/g = 30 m/g      and   g = 26

   then    26 g * 30 m/g = 780 miles  

Here is the long way:

Looking for miles

30 m/g  * (17+9) g    = miles total  =       17 g  * (x+6.5 )  m/g    +  9 g * x m/g

30 ( 26)    =  17 (x+ 6.5) + 9x

780 = 17x + 110.5  + 9x

780 - 110.5 = 26x

669.5 = 26x

x = 25.75 m/g                         17 (25.75 +6.5)  + 9(25.75)  = 780 m
 

Hints:

You have to use the Pythagorean theory twice.

Find the diagonal length of the base first.

Ok  Madyl, 

I've given it lots of thought.     

\(\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1\)           and you know that a tangent to this is     y+x=k

Substitute  y=-x+k   into the ellipse formula and simplify it.

It will simplify down to     \((a^2+b^2)x^2+(-2a^2k)x+(a^2k^2-a^2b^2)=0\\ \)

Now this is a quadratic but since there is only one point of intersection (since one is a tangent to the other) there can be only 1 solution.

So that means the discriminant must equal =0

so find the discriminant and set it equal to 0.

Solve it

You will end up with     \(a^2+b^2=k^2\)

Since a, b and k are all positive

The restriction on a and b is          \(\bf{k=\sqrt{a^2+b^2}}\)

Sue should use 20 servings of hot dogs and 11 servings of beans.

The probability is 4/7.

The probability is 59/100.

I'm getting 4x + 7x <= -3.

The length of chord AB is 2*sqrt(7).

Let P be the point on Xy such that ZP is parallel to XW.  Then angle PZX = angle ZXW = 105, so angle YXZ = 105 - 141 = 9.  Then angle YZX = 141 - 32 = 109, so angle YXZ = 109 - 2*43 = 23 degrees.

g(x) = -3x^2 + 4x + 6.

sin(x) cos(x) = sin(2x)/4.