Determine the answer to (−5) + 4 and explain the steps using a number line

Hello,

The correct answer is -1.

(Drawing the number line)

Draw a number line on a piece of paper. Write a 0 in the middle. Then on the left side on the number line write the numbers -1 to -5. On the right side of the number line draw the numbers 1 - 5.

-5 -4 -3 -2 -1  0  1  2  3  4  5

(Finding the answer)

On the number line start at -5 and then move 4 spaces to your right and you will land on the number -1.

(Answer)

(-5) + 4 = -1

Hope this helps (:

answer: 0.26

i used the calculator on google

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)