(a) delaney would like to make a 5 lb 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. (b) what is the system that models this situation? (c) which of the following is a solution to the system: 2 lb peanuts and 3 lb mixture; 2.5 lb peanuts and 2.5 lb mixture; 4 lb peanuts and 1 lb mixture? show your work.

2.5 lb peanuts and 2.5 lb mixture

Step-by-step explanation:

Let us assume that,

p = the number of pounds of peanuts needed and

m = the number of pounds of the 80% almond-20% peanut mixture needed.

Delaney would like to make a 5 lb nut mixture, so

 1

Delaney wants 60% peanuts in the final mixture, so

 2

Subtracting equation 2 from 1,

Putting this in equation 1,

the answer is 3/5

step-by-step explanation:

first divide 24 divided by 8 because that is the least common multiple

then divide 40 by 8

then you will get 3/5.

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.