Amara runs 1/10 mile in 2/3 minute .what is his speed in miles per hour

You need to make it a full mile meaning you have to multiply 1/10 mile by 10. this gives yoy one mile. You need to do this to 2/3 minute as well. it gives you 20/3 minute or 6 2/3 minute. Theoretically, if she could mantain this pace for a whole hour she could run about 9.09 miles an hour.

The explination behind my answer is just multiplying the 6.666... by 9.09 and it should be as close as it can be to 60 (minutes)

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go on the tube you might find some information there

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)