geno3141

x + y  =  5.8

y  =  2x - 5

Since the second equation is solved for y, substitute that value into the first equation:

x + (2x - 5)  =  5.8

  x + 2x - 5  =  5.8                     Now, combine the x and 2x terms:

        3x - 5  =  5.8                     Add 5 to both sides:

             3x  =  10.8                   Divide by 3:

               x  =  3.6

Substitute this value into either of the equations:

y  =  2x - 5   --->   y  =  2(3.6) - 5  =  7.2 - 5  =  2.2

Step 1:  Since the point moves at the rate of 32pi/9 radians per minute, divide this number by 60 to find the 

              rate per second.

Step 2:  Since there are 2pi radians in one revolution, multiply this number by 7 to find the number of radians

              in 7 revolutions.

Step 3:  Divide the answer of step 2 by the answer of step 1 to find how may seconds that it will take.

The block that is the base:  12 cm x 9 cm x 2 cm 

The block that is on top:  8 cm x 9 cm x 10 cm 

Find the two volumes and add them together.

I believe that it is a cardiod. (heart shaped)

It has 8 petals.

This will be true if x = y = z.

The numbers with a digit of 9 in the one's place are:  9, 19, 29, 39, 49, 59, 69, 79, 89, and 99.

The probability of getting the first number with a 9 in the one's place is 10/100.

The probability of getting the second number (without replacement) with a 9 in the one's place is 9/99.

To find the final probability, multiply these numbers together:  10/100 x 9/99  =  ...

a)  The graph on the right does not have a complete y-axis; it skips a region.

b)  Actually, the opposite is true; because of the incomplete y-axis, the graph makes it appear that the Mountain Clear water company is cheaper.

c)  Again, the opposite is true; the slope of the graph of the H2O water company appears to be steeper.

d)  The Mountain Clear water company.

There is a total of 5 + 7 + 9 = 21 coins.

The probability of selecting 2 pennies (no replacement)  =  5/21 x 4/20

The probability of selecting 2 pennies (with replacement)  =  5/21 x 5/21

The probability of selecting the same coin twice (without replacement)  =  0  (once he coin has been selected, it can't be selected again, if there is no replacement)

Draw a line segment parallel to the base that continus the 7.5 cm segment.

This will divide the segment into a bottom rectangle:  18 cm x 11.5 cm

and a bottom rectangle:  10.5 cm x 4 cm.

Find the area of each rectangle and add them together.