Choose the best answer for the following questions from the given alternatives. 1. Which one of the following is not a solid geometric figure?

A. triangle B. square C. Cylinder D. Trapezium

2. What is the lateral surface area of square prism of height 4cm and with the

length of base 3cm?

A.12 B.48 C.64 D.50

3. What is the base area of the right cylinder with radius 6cm?

A.36 B.46 C. 100 D.81

4. What is the value of perimeter of the BASE of the rectangular prism with

length 7cm and 4cm respectively?

A.22cm B.102cm C.69cm D.58cm

6. If the volume of the triangular prism is 256 and with the base area of 16cm square , then what is the height of the prism?

A.8cm B.16cm C.24cm D.12cm

b

step-by-step explanation:

12cm

the answer is d

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)