One-half m minus three-fourths n equals 16, when n equals 8?

Hey!

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Expression:

0.5m - 0.75n = 16 (1/2m - 3/4n = 16)

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Solution:

0.5m - 0.75n = 16

0.5m - 0.75(8) = 16

0.5m - 6 = 16

0.5m - 6 + 6 = 16 + 6

0.5m = 22

0.5m/0.5 = 22/0.5

m = 44

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Hope This Helped! Good Luck!

b. 1.25 hr

step-by-step explanation:

if you have a constant speed of 60 mph, then you have a ratio between 60 mi. to 1 hr. dividing both sides by 60 we get the ratio

1 mi. to

then mult. both sides by 75 we get the ratio

75 mi. to

simplifying we get

75 mi. to

or 1.25 hr.

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752