7. a gardener buys fifty carrot seeds and twenty lettuce seeds for $1.10
and her mother buys thirty carrot seeds and forty lettuce seeds for
$1.50. find the cost of one carrot seed and one lettuce seed.

one carrot = $ 0.01

one lettuce = 0.03

Step-by-step explanation:Let c represent carrot and l represent lettuce then, from the question

50c + 20 l = 1.10

30c + 40l = 1.50

Solving simultaneously

multiply equation 1 by 2 and equation 2 by 1

⇒ 100 c + 40l = 2.20

   30 c + 40 l = 1.50

subtract equation 4 from equation 3

⇒ 70 c = 0.7

         c = 0.01

substituting c = 0.01 into equation 1 gives l = 0.03

80π/3 or about 83.775

step-by-step explanation:

since a cone is 1/3 of a cylinder, we need to find the base's area. since area = πr^2, we get 16π. then, multiplying this by 5, we get 80π. dividing by 3, since the cone's volume is 1/3 of that of a cylinder's, we get 80π/3.

hope this !

the polynomial is a perfect square trinomial of the form a^2-2ab+b^2:

option a. true

step-by-step explanation:

9x^2-12x+4

comparing with the form a^2-2ab+b^2

1.) a^2=9x^2

solving for a: square root both sides of the equation:

sqrt(a^2)=sqrt(9x^2)

a=sqrt(9) sqrt(x^2)

a=3x

2.) b^2=4

solving for b: square root both sides of the equation:

sqrt(b^2)=sqrt(4)

b=2

to be a perfet square trinomial 2ab must be equal to 12x. let's check:

2ab = 2 (3x) (2)

2ab = 12x

correct