Question

1) Stephanie earned $x while working 10 hrs. Evelyn earned $y while working 29hrs. If they both earn the same hourly wage and x+y=60, how many dollars did Stephanie earn?

2)the difference of the areas of two circles is 21pi. If their radio are r+3 and r, find the radius of the larger circle.

^144(pi)

3) The figure with a length of 5, width of 4, and hight of 3. (Rectangular box) what is the longes length of a diagonal of one of the faces?

Answer 1

steph;s wage = x/10
eve;a wage = y/29
but you said:
x/10=y/29
10y=29x
y = 29x/10

sub that into x+y=60 and solve

2.
area of large circle = π(r+3)^2
area of small circle = πr^2
π(r+3)^2 - πr^2 = 21π

divide by π(the r^2 drops out)

3. make a sketch and really think about it
Hint: Pythagoras

Answer 2

x/10 = (60-x)/29

dividing out the pi,
(r+3)^2 - r^2 = 21

pick the two longest edges, then
d^2 = 5^2+4^2

Answer 3

Number two is 21/9?

Answer 4

uh, no. You messed up the binomial expansion.

6r+9 = 21

Answer 5

nope, not what I got

show me your steps to catch the error

Answer 6

ohh opps. Thank you