A circle has a radius of 7x 9 y 5 cm. The area of a circle can be found using A = πr 2 . What is the area of this circle in square centimeters.

hi

Step-by-step explanation:

Area of a circle  

A

=

π

r

2

Given  

r

=

6

x

9

y

5

c

m

A

=

π

(

6

x

9

y

5

)

2

=

36

π

x

18

y

10

s

q

c

m

A

=

113.0973

x

18

y

10

c

m

2

jeff jeff

step-by-step explanation:

delaney would like to make a 5lb nut mixture that is 60% peanuts and 40% almonds.

she has several pounds of peanuts and several pounds of a mixture that is 20% peanuts and 80% almonds.

let 'p' represent the number of pounds of peanuts needed to make the new mixture, and  

let 'm' represent the number of pounds of the 80% almond-20% peanut mixture.

:

p + m = 5

therefore

m = (5-p)

write an equation based on the percent of peanuts

1p + .2m = .6(5)

replace m with (5-p)

p + .2(5-p) = .6(5)

p + 1 - .2p = 3

p - .2p = 3 - 1

.8p = 2

p = 2/.8

p = 2.5 lbs of peanuts required

then

5 - 2.5 = 2.5 lbs of the peanut/almond mixture required

:

a) what is the system that models this situation?

p + m = 5

1p + .2m = .6(5)