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3 years ago

Ninety percent of a town’s population owns cars. If the number of cars owned is 4761, what is the population of the town?

Mathematics

2 answers:

Gala2k [10]3 years ago

8 0

Write an equation. Use x for the population of the town.

90% of the population is the same as 90% of x.

To change a percent into a decimal, divide the percent by 100.

90/100 = 0.9, so 90% is the same as 0.9.

Now we write an equation.

0.9x = 4761

Divide both sides by 0.9:

x = 4761/0.9

x = 5290

Answer: The population of the town is 5290.

Nuetrik [128]3 years ago

3 0

We can write an equation of this, with p representing the unknown population. We know that 90% of the population owns cars:

90% * p

We also know that 4761 people own cars, which is the same as the above expression, so we write:

90% * p = 4761.

From there, you just divide both sides by 90%, or 0.9

p = 4761/0.9 = 5290

The population is 5290 people.

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Problem PageQuestion The mass of a radioactive substance follows a continuous exponential decay model, with a decay rate paramet

asambeis [7]

Answer:

Step-by-step explanation:

<u>Exponential Model</u>

The exponential model is often used to simulate the behavior of a magnitude that either grow or decay in proportion to the existing amount of that magnitude.

The model can be expressed as

$M=M_oe^{kt}$

In this case, Mo is the initial mass of the radioactive substance and k is a constant which value is positive if the mass is growing or negative if the mass is decaying.

The value of k is not precisely given in the question, we are assuming $k=-0.2$

The model is now

$M=M_oe^{-0.2t}$

We are required to compute the time it takes the mass to reach one-half of its initial value:

$\displaystyle \frac{M_o}{2}=M_oe^{-0.2t}$

Simplifying

$\displaystyle \frac{1}{2}=e^{-0.2t}$

Taking logarithms

$\displaystyle ln\frac{1}{2}=ln(e^{-0.2t})=-0.2t$

Solving for t

$\displaystyle t=-\frac{ln\frac{1}{2}}{0.2}=1.51$

6 0

3 years ago

A line passes through the point (-3, -3) and has a slope of 1/2. What is the equation of the line?

harina [27]

To solve this, we need to understand Slope Intercept Form (SIF), as well as how to graph a line.

SIF is the standard equation of lines on graphs. It is "y=mx+b" where m is the slope and b is the y-intercept. The y-intercept is the value of y when x is 0.

To find the y-intercept (which we will need to form the equation), we should simply graph the line. This will let us visualize the y-intercept, and overall make it easier to understand.

To graph a line, we should start with the point we have (that being (3, 3)) and follow the slope with rise/run. This means in this case, we will go right 2 for every 1 up, or 2 left for every 1 down.

Below I have attached a graph to help you see how to graph this, which we will get our equation from. The highlighted area is our y-intercept. The red circle shows our original point (3,3), and the blue dots show our slope.

Using the graph, we can see the equation for this line is y=1/2x+1.5.

8 0

3 years ago

What would a piece 430 feet 3 inches cost if you get a 10% discount for the larger volume? A piece of wire cable 180 ½ feet long

alexgriva [62]

To get the answer to this question you would have to multiply these numbers.
The normal price appears to be 65.95 for 180.5 feet.
First we could divide 430.25 by 180.5
This divides out to become 2.39027778.
We would then multiply This by our normal price for 180.5 feet, which is 65.95.
This gives us 157.63882.
We would next need to take the 10 percent off. The easiest way to do this is to multiply our price by .90
This would give us 141.484938.

3 0

3 years ago

I need someone to explain functions and functional symmetry to me. This is very important, so if you do not have a legit answer,

dolphi86 [110]

Symmetrical functions can be about the x and y axis. Essentially, if we reflect the graph across the y or x axis, we get the same graph. Some other graphs can be reflected across both the x and y axis at the same time and be symmetrical. These can be classified as odd and even functions. You can test this by replacing x and y with -x and -y and simplify the equation. If the results comes out to be the same as the original, it is symmetrical across the origin.

Best of Luck!

3 0

3 years ago

Read 2 more answers

Helppppppppppppppppppppp

valentina_108 [34]

Answer:

Cubic

Step-by-step explanation:

A cubic polynomial has a highest degree of 3.

In this polynomial, we see "q^3" meaning that q is raised to the 3rd power, making this a cubic polynomial.

Hope this helps!

4 0

3 years ago