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-9,-8,-7,-6,-5,-4

https://www.jiskha.com/questions/616339/the-numerator-of-a-fraction-is-two-less-than-its-denominator-when-both-numerator-and

plug in 1/18 instead of 3/20

Triangle UTR is an equilateral triangle so all of its angles are equal to 60 and all of its sides are equal. TR =11 because triangle TRS is an isosceles triangle.

Therefore, x - 7 = 11

x = 18

180 - 60 = 120 so angle TRS = 120

180 - 120 = 60

60/2 = 30

Therefore, 5y = 30

y = 6

I answered this question a day or two ago:

Rational root theorem: All rational roots are factors of 72. Try plugging in simple numbers like 1 or 2 to get started.

$(x)(x+1)(x+3)(x+4)(x+6) = 0$

The solutions are 0, -1, -3, -4, -6.

the point   x = k   y = k+1   must satisfy the equation

sub in for x and y

k+1 = 4(k) - 14

  15 = 3k

k = 5

k = 5

i)    y = 1/3 x^2 -2x + 8

        = 1/3  (x^2 - 6x)    + 8

             =1/3 ( x - 3)²   + 8 - 3

              = 1/3 (x-3)²  +  5

ii)    Min will occur at vertex       3,5           5 m

iii)   put in 8 for 'y'   and calculate  'x'      into the equation in  i)   or the origianl equation given in the Q

x = original # of people

1200  /x   = amount each person paid

x - 5     new number of people

1200 / ( x-5) = new amount =

1200 / (x-5)    =   1200/x   + 8            solve for 'x'

Distance fron wheel travels  =    100 rev  *  ( pi * 2 * 2.5 ft)       =  500 pi  ft 

circumference of back wheel =    pi * 2 * 1/3                      ( 2 *  1/3 ft = diameter of 8 inches)

             500 pi ft   / (pi* 2 * 1/3 ) =  500 /(2/3) =   1500/2 = 750 revs of back wheel

p = penny bank amount

1000 - p = f & d bank amount

p ( 1 + .03)²    + (1000-p) ( 1 + .05)²   = 1090.02               can you solve this for p ?

a + b = 6

ab = 8

1/a + 1/b =    1/a  *  ab / ab      +   1/b  * ab/ab

                   =  b/ab   +  a/ab

                   = (b+ a )/ ab =    6 / 8 = 3/4

  I agree this is very unclearly written....but I agree with BB...

    here is my interpretation:

   the entire figure below is   1/2 square centimeters   ( 1/2 cm²)

        the shaded area is   1/2 centimeters square   ....and is obviously   1/2   of the   1/2 cm²         ~ EP

We are finding the number of arrangements of the number "122333".

This is equal to $\frac{6!}{2! \cdot 3!} = \boxed{60}$

Let her five friends be called A, B, C, D, and E.

There are 5 choose 2 = 10 ways to choose 2 people out of the 5.

meal price: 59

tax: 59 * 1.06

tip: 59 * 1.02

Total: 59 * 1.26 = 74.34

Consider this

y=x^2    vertex is (0,0)

now consider  y=(x-3)^2      where is the the new vertex.

Think of it like this:

(1*7 + 1)/7           8

(2*7 + 2)/7          16

(3*7 + 3)/7          24

(4*7 + 4)/7          32

(5*7 + 5)/7          40

(6*7 + 6)/7          48

a=1; c=int(a / 7); b=a%7;if(c==b, goto4, goto5);printa,c,b; a++;if(a<1000, goto1, 0)

n    q    r,   where n=Number, q =Quotient, r = Remainder.

8    1    1
16  2   2
24  3   3
32  4   4
40  5   5
48  6   6
 

Rewrite the inequality as

x^2 - 4x + y^2 - 6y ≤ 13

x^2 - 4x + 4 + y^2 - 6y + 9 = 13 + 4 + 9

(x-2)^2 + (y - 3)^2 ≤ 26

This is the area of a circle centred on x = 2, y = 3, with a radius of r = √26.

I'll leave you to find the area of a circle with radius r = √26.

I agree with Cal.

They can certainly be interpreted as different but I would want the difference to be made more clear than this!

I think what they mean is:

the first one means cut a 1 cm square in half.    (It will be a rectangle with sides 0.5cm and  1cm)

The second one probably refers to a square with a side length of 0.5cm