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15x80/100=15x4/5=12

30%=12

10%=4

100%=$\boxed{40}$

125/125=1

1%=1

100%=$\boxed{100}$people

82% calls picked up 8/100x82/100=656/10,000=41/625

so the proportion is $\boxed{\frac{41}{584}}$

(100-(36+36))%=28%=1400

1%=50

36%+36%=72%=$\boxed{3600}$registered voters

700$\cdot$38/100=266

(700+266)$\cdot$38/100=367.08

966-367.08 ≈ $\boxed{599}$ items

(3224/31)$\cdot$100=$\boxed{10400}$residents.

cos (F) = (h^2 + g^2 - f^2) / 2hg = (3844 + 100 - 3600) / 1240 = 43 / 155

F = cos$^-1$(43 / 155)$^\circ$ ≈ $\boxed{74^\circ}$

 420 000 ( 1.08)²   = $ .............

11% of the dinner price, x , was 3.41

.11 x = 3.41

x = 3.41/.11 = $ .............

6c+2s=39

2c+4s=18

6c+12s=54

10s=15

s=$\boxed{\frac32}$

2c=12

c=$\boxed{6}$

law of cosines: s^2=q^2+r^2-2qr cos S

s^2=136900+828100-673400 $\cdot$ 0.8571 ≈ 387784

sqrt387784 ≈ $\boxed{623}$

train speed = x

car = 74

train head start =  5 x

closing speed =   car - train =   74 - x

closing speed  for 8 hours covers the head start distance       5x   =  (74-x) 8     solve for x = 45.53 m/hr

A tire measures 20 inches in diameter. How many revolutions will the tire have completed when it has traveled 100 yards? Express your answer to the nearest whole number.    

So, its circumference is 20π.   20 in • 3.1416 = 62.92 in   

100 yards is 3600 inches, so the tire has to go around 3600 / 62.92 times. 

3600 / 62.92 =  57.22  =  57 rotations 

_.

nvm, i got it.

oops, here are the actual options:

f(x)=5sec(x)

f(x)=sec(x)+5

f(x)=5sec(x/2)

f(x)=sec(x/2)+5

250 c 2   = 250! / (2! 248!)  = 31125

Yeah, thank you!

Heron's formula states that the area of a triangle whose sides have lengths a, b, and c is

A =   sqrt (   s ( s − a ) ( s − b ) ( s − c ) )

where s is the semi-perimeter of the triangle; that is,

s = (a + b + c) /2

sooooo    s = ( 4 + 7 + 9)/2 = 10

then  Area = sqrt  [ 10 ( 10-4) (10-7) (10-9)  ]               I believe you can finish tis now    

First you will have to find the value of 'x '       the two x- containing  angles are equal

10x-3 = 7x+45     solve for 'x'  then compute the value of these angles

One of those angles    +    3y-1    = 180  

                                (they  form a straight line = 180)      solve this equation for 'y'

−12cos(πx/32−7π/8)      the min and max of this is  -12   and  + 12

-12 + 30 = 18 ft  min       +12 + 30 = 42 ft    max

these will occur at the value of 'x' that makes cos(πx/32−7π/8)    = 1 or  -1

                                                                            this happens at  cos(0) = 1   and  cos (pi) = -1

pi (x)/32 - 7pi/8 = 0

x =   28   min                   this will be the min time (because of the -12 multiplier)      8:28 AM

pi (x)/32 - 7pi/8 = pi

    x = 60 min                            9:00 AM     for the max

n=$\boxed{325}$

(3x+1)(x+108)=3x^2+324x+x+108=3x^2+325x+108

y = mx + b       m = -2     b = 3     (given)

   y = -2x + 3

The distance betqeen the two autos is    2 x 60 = 120 miles

   the closing rate is   80 m/hr - 60 m/hr = 20 m/hr

        120 miles / 20 m/hr = 6 hours to catch first auto after second begins

If you have the equation of a parabola in vertex form x=a(y-k )²+ h, then the vertex is at (k,h) and the focus is (k+1/4a, h).

you have   x = -1/12 (y-0)^2   + 0       vertex is thus    0,0       a = -1/12

                                                                                        focus is thus      ( 1/(4*-1/12), 0   =  -3,0

slope = rise / run       find two integer coordinat points    (80,70)  and  (70,50)

now slope =   (y1-y2) / (x1-x2) = ( 70-50) / (80-70) = .........