A taxi service charges an inital fee of $3 plus $1.80 per mile.how far can you travel on $12

Answers

Answer 1
Answer: 1.80x + 3 = 12

isolate the x

1.80x + 3 (-3) = 12 (-3)

1.80x = 9

1.80x/1.80 = 9/1.80

x = 9/1.80

x = 5

you can travel up to 5 miles

hope this helps
Answer 2
Answer: m= # of miles

$12 < $3 + $1.80m
subtract 3 from both sides
9 < 1.80m
divide both sides by 1.80
5 < m

ANSWER: They can travel 5 miles on $12.

Hope this helps! :)

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Which expression could be used to determine the cost of a $50 video game after a 20 percent discount?$50(0.20)
$50(1 – $50)(0.20)
$50 – 0.80
$50(0.80)

Answers

The expression that could be used to determine the cost of a $50 video game after a 20 percent discount is:

$50(0.80)

$50(0.80) = $40 discounted amount

$50 * 20% = 10 discount value
$50 - 10 = $40 discounted amount


If you would like to know the expression that could be used to determine the cost of a $50 video game after a 20 percent discount, you can do this using the following steps:

$50 - 20% of $50 = $50 - 20% * $50 = $50 - 20/100 * $50 = $50 - 1/5 * $50 = $50 - 0.20 * $50 = $50 * 0.80 = $40

The correct result would be $50(0.80).

The standard deviation of a sample taken from population A is 17.6 for a sample of 25. The standard deviation of a sample taken from population B is 21.2 for a sample of 30. The standard deviation of the sample mean difference is?

Answers

The answer is 5.5

The standard deviation (sd or σ) of the sample mean difference is:
sd = √(sd₁²/n₁ + sd₂²/n₂)

For the population A:
sd₁ = 17.6
n₁ = 25

For the population B:
sd₂ = 21.2
n₂ = 30

Hence:
sd = √(sd₁²/n₁ + sd₂²/n₂)
    = √(17.6²/20 + 21.2²/30)
    = √(309.76/20 + 449.44/30)
    = √(15.49 + 14.98)
    = √(30.47)
    = 5.5

What is 12-2x6 + 2/2 ?

Answers

12-2*6 + (2)/(2)= \n 12-12+1 = 0 + 1 = 1

16 PS 19E question Help
Some friends played a board game. During the game, one unlucky player had to move back 9 spaces
7 turns in a row. Find a number to represent that player's movements for those 7 turns

Answers

Answer:

-63

Step-by-step explanation:

Because -9 x 7 = -63. If the signs are different then it will be negative. -9 x 7 = -63 is the same like 9 x 7 = 63. I hope this answer your question!

Simplify using Quotient
Rule
10^12 OVER 10^8

Answers

Answer:

10^4

Step-by-step explanation:

All you have to di is subtract the exponents.

The population of a city is modeled by the equation P(t) = 256,114e0.25t where t is measured in years. If the city continues to grow at this rate, how many years will it take for the population to reach one million?

Answers

Answer: it take 5.448 years for the population to reach one million.

Step-by-step explanation:

The population of a city is modeled by the equation

P(t) = 256,114e0.25t

where t is measured in years.

For the population to reach 1000000, it means that

1000000 = 256114e0.25t

1000000/256114 = e0.25t

3.9045 = e0.25t

Taking ln of both sides of the equation, it becomes

Ln 3.9045 = Ln e0.25t

1.362 = 0.25t

t = 1.362/0.25

t = 5.448 years

Final answer:

The city's population is modeled by an exponential function and to find when the population will reach one million, we need to solve the equation for t by setting P(t) = 1,000,000. This requires dividing by the initial population, taking the natural logarithm, and then dividing by the growth rate (0.25). The result is the time in years it takes for the city's population to reach one million.

Explanation:

Calculation of Population Growth Time

The city's population growth is modeled by an exponential function, P(t) = 256,114e0.25t. Here, P(t) is the population at time t and 'e' is Euler's number, approximately equal to 2.71828. Your goal is to find when the population reaches one million.

To do this, set P(t) = 1,000,000 and solve for t:

1,000,000 = 256,114e0.25t

You would divide both sides by 256,114 and then take the natural logarithm to isolate t:

t = ln(1,000,000 / 256,114) / 0.25

Use a calculator to solve for 't'. This gives the time in years it takes for the city's population to reach one million people. It's a clear demonstration of how exponential growth operates: as the population increases, it takes less time to add a certain number of individuals.

Learn more about Exponential Population Growth here:

brainly.com/question/39279467

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