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Verdich [7]
3 years ago
5

54 tacos was sold at lunch. What is six times as many as the number of hotdogs that were sold. How many hotdogs were sold?

Mathematics
1 answer:
Fantom [35]3 years ago
5 0

Answer:

9 hotdogs

Step-by-step explanation:

54/6=9

9 hotdogs

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A parachutist's rate during a free fall reaches 75 meters per second. What is this rate in feet per second? At this rate, how ma
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Answer:

40 meters

Step-by-step explanation:

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3 years ago
The population of Collin County, which follows the exponential growth model,
Anestetic [448]

Answer:

(a) k=0.06217

(b) P=264036e^{0.06217t}

(c) 556,755 is the population in 2012

Step-by-step explanation:

Population increased from 264,036 in 1990 to 491,675 in 2000.

Let assume , year 1990 as t=0

When t=0, population P = 264,036

When t=10, population P = 491,675

Exponential growth equation is P=P_0e^(kt)

P_0 is the initial population when t=0

So P_0= 264,036

When t=10, population P = 491,675

Plug in all the values and find out k

491675 =  264036 e^{k*10}

Divide both sides by 264036

\frac{491675}{264036}=e^{k*10}

To remove 'e' we take ln on both sides

ln(\frac{491675}{264036})=lne^{10k}

ln(\frac{491675}{264036})=10kln(e)

The value of ln(e) = 1

ln(\frac{491675}{264036})=10k

Divide both sides by 10

k=0.06217

Exponential growth equation is P=P_0e^{kt}

We know  P_0= 264,036

Replace the value of k

P=264036e^{0.06217t}

Now , we find the population in 2012

For year 2012 , t= 12

So we plug on 12 for t  and solve for P

P=264036e^{0.06217*12}

P = 556755.09504

556,755 is the population in 2012



4 0
3 years ago
-4(3 - 2x) + 2x = 2x - 8
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Step-by-step explanation:

-4(3 - 2x) + 2x = 2x - 8

- 12 + 8x + 2x  - 2x =  - 8

8x =  - 8 + 12 = 4

x =  \frac{4}{8}

x =  \frac{1}{2}

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3 years ago
A college entrance exam company determined that a score of 23 on the mathematics portion of the exam suggests that a student is
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Answer:

oofy uwu

Step-by-step explanation:

5 0
4 years ago
What is the multiplicative inverse of 6 1/8??
Semenov [28]

The multiplicative inverse of 6 1/8 (49/8) is

8/49

5 0
3 years ago
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