Shandra is on vacation and wants to buy souvenirs for at least eight friends.
A postcard book costs $2.50 and a
magnet costs $4.00. She can spend
up to $30 altogether. Write a system
of inequalities to represent the situation.

Step-by-step explanation:

Let p be the number of posters and m be number of magnets.

Cost of a postcard book = $2.50

Cost of a magnet = $4.00

Shandra wants to buy them for at least eight friends.

So,

She can spend  up to $30 altogether.

So,

Hence, the system  of inequalities to represent the situation:

ur right ive taken the test

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)