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3 years ago

PLEASE HELP I WILL GIVE YOU THE BRAINLIEST!!

Mathematics

1 answer:

coldgirl [10]3 years ago

8 0

Answer:

The answer is 22

The sum of two numbers is 48:

x + y = 48 ⇒ x = 48 - y

One third of one number is 5 greater than one sixth of another number:

1/3x =5 + 1/6 y

1/3(48 - y) = 5 + 1/6y

1/3 * 48 - 1/3 * y = 5 + 1/6 y

16 - 1/3y = 5 + 1/6y

16 - 5 = 1/6y + 1/3y

11 = 1/6y + 2/6y

11 = 3/6y

y = 11 * 6 / 3

y = 22

x = 48 - y

x = 48 - 22

x = 26

The smallest number is 22.

Step-by-step explanation:

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Wewaii [24]

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See explanation below

<u>Step-by-step explanation:</u>

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3 years ago

The formula A=200e^.033t models the population of a particular city, in thousands, t years after 1998. When will the population

svetoff [14.1K]

Answer:

In the year 2010

Step-by-step explanation:

we have

$A=200e^{0.033t}$

where

A is the population in thousands

t is the number of years since 1998

For A=297 thousands

substitute and solve for t

$297=200e^{0.033t}$

simplify

$1.485=e^{0.033t}$

Apply ln both sides

$ln(1.485)=ln[e^{0.033t}]$

$ln(1.485)=(0.033t)ln(e)$

Remember that

$ln(e)=1$

$ln(1.485)=(0.033t)$

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3 years ago

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AlladinOne [14]

Answer:

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cos ø=adjacent/hypotenuse

cos37°=17.3/hypotenuse

hypotenuse=17.3/cos 37°

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