All Answers 358129 Answers

45 ppl / km²   *  33 km²  = 1485 ppl

N = A + 125

J = A/2

N + J + A = (A+125) + A/2 + A = 765   

                 a+125    + a/2   + a    = 765

                  2.5 a = 765 - 125

                       a = 256          n = 256 + 125 =381            j = 256/2   = 128
 

5012 km  /  7hr   =   716 km/hr

896   -   ( 7 *58 )    =   white balls

Let  x  be  the  number  of  2-point questions....then   20-x  =  the number of 5-point questions

So

2x   +  5 (20  - x)   =   58      simplify

2x  + 100  - 5x   =  58

2x - 5x  =   58  - 100

-3x  =  - 42

x =  -42 / -3  =    14  2-point questions

748  rounded  to  the  nearest 100   =  700

Ok 

Answers look OK to me !  

I think the base is the line with an arrow with no dimension.       (changed )

Can you check this

a. 195
3 1/4 h = 3 h 15 min

           
            = 180 min + 15 min

            = 195 min

b. 140
Audrey → 2 h = 120 min
Claire → 120 min + 20 min = 140 min

c. 3 h 

2 x 1 1/2 h = 2/1 x 3/2 h

                  = 3 h

d. $90

    1 lesson → 2 hours

    2 × $15 = $30
    3 × $30 = $90

j = 5r

j- s  = r + s

5r-s = 9      s = 'some stickers'

r+s = 9       add these two equations

6r = 18

r = 3               then           j = 5r = 15      

r + s = 9

3 + s = 9

s = 6

Twenty four

Here is the graph....the point where the two graphs intersec is the solution to the system of equations:

7200 sec  /  (3600 sec/hr) = 2 hrs

2:30 pm + 2 hrs = 4:30 PM

See if you can do the Right side

j = 7r

j = r+ 84    

7r = r + 84

6r = 84

r = 14       then j has 7r = 98 bookmarks

7 * 14 = 98.

98 - 84 = 14.

the answer is 14.

  (  x+6    + 6x+2    + 2x) / 3    = 4x-7

      (9x   + 8 ) / 3    = 4x-7

        3x   + 8/3   = 4x -7

              7 8/3  = x = 9  2/3

https://web2.0calc.com/questions/help-percentages#r1

38 000 * .042 = $1596  FICA tax on 38 000 dollars gross.

With no payments until the end

5 yrs 8%                    =   10 000 ( .08) * 5 + 10000 = $ 14000

6% comp annually        = 10 000 ( 1 + .06)⁵            = $ 13382.26             Take it from here !

xy + 7y = x-3

x - xy - 7y  = 3                factor ...note that a 7 is added on the L and the right in the next equation

(x+7)(-y+1)  = 3 + 7

(x+7)(-y+1) =10              multiply by -1 to get correct sign for 'y'

(x+7)(y-1) = -10      take it from here .....

90 degrees 

total angles are 180.

180-90 = 90

=^._.^=

The circle centered at (2, -1) and with radius 4 intersects the circle centered at (2, 5) and with radius √10 at two points A and B. Find (AB)².

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Let the centers of the circles be   P(2, -1) and Q(2, 5)       PQ = |-1 + 5| = 6

Let the midpoint of AB be M.     AM = BM ==> x

sqrt(AP² - x²) + sqrt(AQ² - x²) = PQ              x = (√15) / 2

AB² = (2x)² 

AB² = 15