A professional dance instructor lost significant muscle mass while recovering from a serious auto crash. She can now resume her routine and is able to gain back 7% of her weight each month (i. e. 7% of the value displayed on a scale during each monthly weigh-in). If she is currently 125 lbs, what will her weight be after four months (to the nearest pound)?

the allele for unattached earlobes is dominant over the allele for attached earlobes. In a population if “500 individuals”, 25 percent show the recessive phenotype. How many individuals would you expect to be heterozygous for this trait?

possible answers:

• 75

•125

•200

•25

Step-by-step explanation:

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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)