Find the coordinates of the midpoint of a segment having the given endpoints.
q(0.3, 1.8), r(2.7, 3.9)
(1.5, 2.85)
o (1.05, 3.3)
(-1.2, -1.05)
o(-2.4, -2.1)

Step-by-step explanation:

we know that

The formula to calculate the midpoint between two points is equal to

we have the endpoints:

Q(0.3, 1.8), R(2.7, 3.9)

substitute in the formula

answer: b

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)