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4 years ago

The ratio of skiers to snowboarders is 1:2. There are 1250 more snowboarders than skiers. How many skiers and snowboarders are t

here?

Mathematics

1 answer:

Luba_88 [7]4 years ago

8 0

$x-number\ of\ skiers\\x+1250-numbers\ of\ snowboarders\\\\\frac{skiers}{snowboarders}=\frac{1}{2}\Rightarrow\frac{x}{x+1250}=\frac{1}{2}\ \ \ \ |cross\ multiply\\\\2x=x+1250\ \ \ \ \ \ |subtract\ x\ from\ both\ sides\\\\x=1250\\\\x+1250=1250+1250=2500\\\\Answer:There\ are\ 1250\ skiers\ and\ 2500\ snowboarders.$

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What is the amount of sales tax owed on a $350 laptop computer if the tax rate is 6%

valentinak56 [21]

What we need to do with this problem is multiply the amount the computer costs ($350) by the tax rate (6%). To do this, we first need to convert the percentage to a decimal, so we divide the 6 given by 100, leaving us with .06. Next, we need to multiply the $350 by the .06, giving us $21 as the amount we should be paying for sales tax. So your answer should be 2) $21.00!

8 0

3 years ago

Circle towns limit form a perfectly circular shape that has a population of 20000 in the population density of 480 people per sq

Alex

Answer:

$D =\frac{P}{\pi X^2}$

And solving for the radius we got:

$X = \sqrt{\frac{P}{\pi D}}$

And replacing the data given we got:

$X = \sqrt{\frac{480 \frac{people}{km^2}}{\pi *20000 people}}= 0.0874Km$

And this value converted to meters is $X = 87.40 m$

Step-by-step explanation:

For this case we know the population size $P = 20000$ and we also know the population density $D = 480 \frac{people}{km^2}$

We can assume that the area is a circle. We also know that the formula for the population density is given by:

$D= \frac{P}{A}$

Where P represent the number of people and A the area. Since we are assuming a circle then the area is given by:

$A = \pi X^2$

With X the radius of the circle

And then the populationd density become:

$D =\frac{P}{\pi X^2}$

And solving for the radius we got:

$X = \sqrt{\frac{P}{\pi D}}$

And replacing the data given we got:

$X = \sqrt{\frac{480 \frac{people}{km^2}}{\pi *20000 people}}= 0.0874Km$

And this value converted to meters is $X = 87.40 m$

6 0

4 years ago

If x+y=8, y+z=7, and x+z=5, what is the value of x? What is the formula or strategy to approach this question?

joja [24]

The strategy is to work from a system with three variables and three equations down to something with two variables and two equations. In a two variable-two equation system, you can use either substitution or elimination.

First, let's organize the equations.

(1) x + y = 8

(2) y + z = 7

(3) x + z = 5

Now, we'll solve one of (1), (2), and (3) for a variable. The choice is yours, but we'll use equation (3) and solve it for x.

x + z = 5

x = 5 - z.

Now we put this into equation (1). Why (1)? It's the only one of (1) and (2) with x.

x + y = 8

5 - z + y = 8

-z + y = 3

y - z - 3 to rearrange it.

Now look at this new equation - call it (4) and the original (2).

(4) y - z = 3

(2) y + z = 7

This is a system of two equations and two variables. Either substitution or elimination works here - let's use elimination because of the -z and +z.

y - z = 3

y + z = 7

We add them together and we have that 2y = 10. Divide on both sides and y = 5. One variable down, two to go.

Now we go back to original equation (2). Substitute y = 5 to find z.

y + z = 7

5 + z = 7

z = 2.

Two down, one to go. Since we know z = 2, let's put it into (3) and find x. (Equation (1) with y = 5 works fine as well.)

x + z = 5

x + 2 = 5

x = 3

Thus x = 3, y = 5 and z = 2.

3 0

3 years ago

Expand (x+2y)^2<br>hgghhhhjjjjjjj

Sonbull [250]

Step-by-step explanation:

(x+2y)²=x²+4xy+4y²

...........

7 0

3 years ago

What do I put? I am having so much trouble with this.

jek_recluse [69]

12. $\frac{3}{4} , \frac{9}{12}$

13. $\frac{4}{10} , \frac{4}{100}$

16. $\frac{3}{9}$ is already in simplest form.

8 0

3 years ago