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IgorLugansk [536]

3 years ago

6

Hansen played an arcade game that cost 25 tokens PER GAME. In six games, Hansen won 0 tokens, 10 tokens, 50 tokens, 0 tokens, 5

tokens, and 10 tokens. What is the change in the number of tokens Hansen has?

1 answer:

patriot [66]3 years ago

8 0

Answer:

150-75=75, so a change of -75

Step-by-step explanation:

He spent 150 tokens and only got 75 tokens back

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Suppose the population of a town is 2,700 and is growing 4% each year. A. Write an equation to model the population growth. B. P

miss Akunina [59]

Answer:

Third option i.e. A. $2700(1.04)^x$ and B. About 4,323 people

Step-by-step explanation:

We are given that,

Initial population of the town = 2,700

The rate of growth = 4% = 0.04

Part A: Since, the equation for the growth is given by,

Population growth = $P(1+r)^x$ , where P is the initial population, r is the rate of growth and x is the time period of growth.

We have, according to the question,

Population growth = $2700(1+0.04)^x$

i.e. Population growth = $2700(1.04)^x$

Thus, the equation for the population growth is $2700(1.04)^x$ .

Part B: Now, it is required to find the population after 12 years i.e. x= 12.

So, we have,

Population = $2700(1.04)^x$

i.e. Population = $2700(1.04)^{12}$

i.e. Population = $2700\times 1.601032$

i.e. Population = 4,323

Hence, the population after 12 years is 4,323 people.

Thus, the third option is correct.

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Andrew [12]

Answer: i think it should be 1:3=2:6

Step-by-step explanation:

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Help PLEASE ITS DUE TODAY!!!!

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How do you solve:<br>18(18)=x(x+15)

ehidna [41]

Hello!

$18(18)=x(x+15)$

The parentheses indicate multiplication; the 18(18) on the left side of the equation is 18 * 18. On the right side of the equation, you have x(x + 15); to simplify this, you would distribute the x--that means multiply each term inside the parentheses by x. This is the Distributive Property: $a(b + c) = ab + ac$ . Let's do that.

$18(18)=x(x+15)$
$324= x^{2} +15x$

Now, you can subtract 324 from each side to set the equation equal to 0.

$324= x^{2} +15x$
$324-324= x^{2} +15x-324$
$0= x^{2} +15x-324$

This is a quadratic equation; to solve it, we may factor (if the equation is able to be factored) or we can use the Quadratic Formula. Let's see if we can factor. To factor, find two numbers whose sum is 15 and whose product is -324. Since 324 is negative, we know one of the numbers is negative and one of the numbers is positive (a negative times a positive is always negative), and that means one of the numbers is greater than 15...

27 - 12 = 15
27 * -12 = -324

The factored polynomial is: (x + 27)(x - 12).

To find its solutions, set the factors equal to 0 and solve for x.

x + 27 = 0
x = -27

x - 12 = 0
x = 12

Answer:
The solution of $18(18)=x(x+15)$ is -27 and 12.

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As low tide came in, the ocean dropped by a rate of 12 inches every 3 minutes. Write a rational # describing this rate.

RSB [31]

You can write every speed as the ratio between the space and time, so in this case you have

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