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1.     A basketball player made 8 out of 50 free throws she attempted which is 16%. She wants to know how many consecutive free throws more in a row she would have to make to raise her overall successful baskets divided by attempts or percent of successful free throws to 60%.

(a)   Write an equation to represent this situation.

(b)   Solve the equation. How many consecutive free throws would she have to make to raise her percent to 60%?

a)     [ 8  +  x ]  / [ 50 + x ] =  .60          where  x  is the  numbere  of  additional consecutive FTs needed

b)  cross-multiply  and  we  get

8  +  x =  .60 [ 50  + x ] 

8 + x  =  30  + .60x

x - .60x =  30  -  8

.40x  =  22

x = 22 / .40   =   55  =   additional  consecutive FTs needed

omgosh, I was just working on these problems on khan academy. 

x = v_0*t + 1/2*a*t^2

What do we know:

x = -35

v_0 = 0

a = -9.81

t = what we're looking for. 

Can you take it from here?

=^._.^=

Aww thank you. :))

I should be more careful in the future, I keep messing up with these mistakes in contests. 

I just watched the video, modular stuff is always very tricky.

=^._.^= 

Let  Leo  start with  N  marbles

Then Issac  started with  95 - N  marbles

Let  the  number of  marbles that Issac gave away  = G

Then Leo  gave away  G +  3

From Issac's  point of view

(95 - N)  - G   =  G  - 5

95 - N  = 2G- 5

95 + 5 - 2G  = N

100  - 2G  = N      (1)    

From Leo's point of  view

N  -  (G + 3)   =  (G - 5)  + 2

N - G - 3  =  G -  3

N =  2G       (2)

Equating  (1)  and (2)   we  have

100 - 2G =  2G

100 =  4G

100 / 4 = G   =   25

So Leo  gane away  G + 3   =   28  marbles

Proof

N = 2G  = 50 = what Leo started with

95 - 50  =  45  = what Isaac started with

Leo gave  away  28   and  was  left  with 22

Isaac  gave away 25  and  was left  with  20

And Leo was left with two more marbles  than Isaac

I don't understand the question, but I'll try my best. 

The raduis was 450/440 of the current one. 

45/44*15 = 15.34 about

So the increase was .34

=^._.^=

Why do you hate this website???

Why do you think it sucks?

1 - The smallest 5-digit integer is: 10010.  The largest 5-digit integer is: 99990

2 - The least positive integer n = 13

3 - The three-digit integer XYZ = 264

4 - The smallest possible value of n = 3: 202020202021 mod 11 = 0

5 - Change 31743 to 31274 mod 823 = 0

1.  x(squared)-6=5x

x(squared)-5x-6=0

(x-6)(x+1)=0

x=6,x=-1

WORDS CITED FROM Wyzant!!!!!

∠APB = arctan(2/1) = 63.43494882º

∠CPQ = 45º

∠APQ = 180 - (∠APB + ∠CPQ) = 71.56505118º

sin(∠APQ) = 0.948683298 

25+17= 42

42*0.08= 3.36

The value of his copy card reduced by the during the past two days is $3.36.

Sorry if it's wrong

He finished 1 hour and 40 minutes later! So he finished at 4:40 p.m.

(2/3)(60)

2(20)

40

Hope it helped!

thx :)

ok.
 

2/5 were blue so that means 3/5 is left.
1/2 of 3/5 = 3/10 so 3/10 of them are red

which also means 3/10 of them were white.
if x was the # of t-shirts, then

\(\frac{3}{10}x=9\)

\(3x=90\)

\(x=30\)

we can check this by doing 2/5 * 30 = 12
3/10 * 30 = 9
and white = 9
\(12+9+9=30\)

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Oh ok, not that hard.
\(3^{11}+5^7+1=255273\)

It's divisible by 3 because:
\(2+5+5+2+7+3=24\)

and 24 is divisible by 3.

So the answer is \(\boxed{3}.\)

2:30 pm to 3:30 pm → 1 hour 3:30 pm to 4:00 pm
→ half an hour or 30 minutes 4:00 pm to 4:05 pm → 5 minutes 1 hour + 30 minutes + 5 minutes = 1 hour 35 minutes
 

Pythogorean theorem

tree one is   sqrt ( 8^2 + 14^2 ) = ___________   ft

tree two is   sqrt (16^2 + 9^2)   =____________  ft from base      Which is smaller distance ?